WO2001081821A1 - Structure pourvue de lignes de pliage, moule de formation de lignes de pliage et procede de formation de lignes de pliage - Google Patents

Structure pourvue de lignes de pliage, moule de formation de lignes de pliage et procede de formation de lignes de pliage Download PDF

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Publication number
WO2001081821A1
WO2001081821A1 PCT/JP2000/007348 JP0007348W WO0181821A1 WO 2001081821 A1 WO2001081821 A1 WO 2001081821A1 JP 0007348 W JP0007348 W JP 0007348W WO 0181821 A1 WO0181821 A1 WO 0181821A1
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WO
WIPO (PCT)
Prior art keywords
fold line
line
fold
mountain
folding
Prior art date
Application number
PCT/JP2000/007348
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English (en)
Japanese (ja)
Other versions
WO2001081821A9 (fr
Inventor
Taketoshi Nojima
Original Assignee
Taketoshi Nojima
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Taketoshi Nojima filed Critical Taketoshi Nojima
Priority to JP2001578869A priority Critical patent/JP3824540B2/ja
Publication of WO2001081821A1 publication Critical patent/WO2001081821A1/fr
Publication of WO2001081821A9 publication Critical patent/WO2001081821A9/fr

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Classifications

    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B29—WORKING OF PLASTICS; WORKING OF SUBSTANCES IN A PLASTIC STATE IN GENERAL
    • B29C—SHAPING OR JOINING OF PLASTICS; SHAPING OF MATERIAL IN A PLASTIC STATE, NOT OTHERWISE PROVIDED FOR; AFTER-TREATMENT OF THE SHAPED PRODUCTS, e.g. REPAIRING
    • B29C49/00—Blow-moulding, i.e. blowing a preform or parison to a desired shape within a mould; Apparatus therefor
    • B29C49/08—Biaxial stretching during blow-moulding
    • B29C49/10—Biaxial stretching during blow-moulding using mechanical means for prestretching
    • B29C49/12—Stretching rods
    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B29—WORKING OF PLASTICS; WORKING OF SUBSTANCES IN A PLASTIC STATE IN GENERAL
    • B29C—SHAPING OR JOINING OF PLASTICS; SHAPING OF MATERIAL IN A PLASTIC STATE, NOT OTHERWISE PROVIDED FOR; AFTER-TREATMENT OF THE SHAPED PRODUCTS, e.g. REPAIRING
    • B29C49/00—Blow-moulding, i.e. blowing a preform or parison to a desired shape within a mould; Apparatus therefor
    • B29C49/42—Component parts, details or accessories; Auxiliary operations
    • B29C49/48—Moulds
    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B64—AIRCRAFT; AVIATION; COSMONAUTICS
    • B64G—COSMONAUTICS; VEHICLES OR EQUIPMENT THEREFOR
    • B64G99/00—Subject matter not provided for in other groups of this subclass
    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B65—CONVEYING; PACKING; STORING; HANDLING THIN OR FILAMENTARY MATERIAL
    • B65D—CONTAINERS FOR STORAGE OR TRANSPORT OF ARTICLES OR MATERIALS, e.g. BAGS, BARRELS, BOTTLES, BOXES, CANS, CARTONS, CRATES, DRUMS, JARS, TANKS, HOPPERS, FORWARDING CONTAINERS; ACCESSORIES, CLOSURES, OR FITTINGS THEREFOR; PACKAGING ELEMENTS; PACKAGES
    • B65D1/00—Containers having bodies formed in one piece, e.g. by casting metallic material, by moulding plastics, by blowing vitreous material, by throwing ceramic material, by moulding pulped fibrous material, by deep-drawing operations performed on sheet material
    • B65D1/02—Bottles or similar containers with necks or like restricted apertures, designed for pouring contents
    • B65D1/0223—Bottles or similar containers with necks or like restricted apertures, designed for pouring contents characterised by shape
    • B65D1/0292—Foldable bottles
    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B65—CONVEYING; PACKING; STORING; HANDLING THIN OR FILAMENTARY MATERIAL
    • B65D—CONTAINERS FOR STORAGE OR TRANSPORT OF ARTICLES OR MATERIALS, e.g. BAGS, BARRELS, BOTTLES, BOXES, CANS, CARTONS, CRATES, DRUMS, JARS, TANKS, HOPPERS, FORWARDING CONTAINERS; ACCESSORIES, CLOSURES, OR FITTINGS THEREFOR; PACKAGING ELEMENTS; PACKAGES
    • B65D1/00—Containers having bodies formed in one piece, e.g. by casting metallic material, by moulding plastics, by blowing vitreous material, by throwing ceramic material, by moulding pulped fibrous material, by deep-drawing operations performed on sheet material
    • B65D1/12—Cans, casks, barrels, or drums
    • B65D1/14—Cans, casks, barrels, or drums characterised by shape
    • B65D1/16—Cans, casks, barrels, or drums characterised by shape of curved cross-section, e.g. cylindrical
    • B65D1/165—Cylindrical cans
    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B65—CONVEYING; PACKING; STORING; HANDLING THIN OR FILAMENTARY MATERIAL
    • B65D—CONTAINERS FOR STORAGE OR TRANSPORT OF ARTICLES OR MATERIALS, e.g. BAGS, BARRELS, BOTTLES, BOXES, CANS, CARTONS, CRATES, DRUMS, JARS, TANKS, HOPPERS, FORWARDING CONTAINERS; ACCESSORIES, CLOSURES, OR FITTINGS THEREFOR; PACKAGING ELEMENTS; PACKAGES
    • B65D21/00—Nestable, stackable or joinable containers; Containers of variable capacity
    • B65D21/08—Containers of variable capacity
    • B65D21/086—Collapsible or telescopic containers
    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B65—CONVEYING; PACKING; STORING; HANDLING THIN OR FILAMENTARY MATERIAL
    • B65D—CONTAINERS FOR STORAGE OR TRANSPORT OF ARTICLES OR MATERIALS, e.g. BAGS, BARRELS, BOTTLES, BOXES, CANS, CARTONS, CRATES, DRUMS, JARS, TANKS, HOPPERS, FORWARDING CONTAINERS; ACCESSORIES, CLOSURES, OR FITTINGS THEREFOR; PACKAGING ELEMENTS; PACKAGES
    • B65D5/00—Rigid or semi-rigid containers of polygonal cross-section, e.g. boxes, cartons or trays, formed by folding or erecting one or more blanks made of paper
    • B65D5/36—Rigid or semi-rigid containers of polygonal cross-section, e.g. boxes, cartons or trays, formed by folding or erecting one or more blanks made of paper specially constructed to allow collapsing and re-erecting without disengagement of side or bottom connections
    • B65D5/3607—Rigid or semi-rigid containers of polygonal cross-section, e.g. boxes, cartons or trays, formed by folding or erecting one or more blanks made of paper specially constructed to allow collapsing and re-erecting without disengagement of side or bottom connections formed by folding or erecting a single blank
    • B65D5/3614—Rigid or semi-rigid containers of polygonal cross-section, e.g. boxes, cartons or trays, formed by folding or erecting one or more blanks made of paper specially constructed to allow collapsing and re-erecting without disengagement of side or bottom connections formed by folding or erecting a single blank to form a tubular body, at least one of the ends of the body remaining connected
    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B65—CONVEYING; PACKING; STORING; HANDLING THIN OR FILAMENTARY MATERIAL
    • B65D—CONTAINERS FOR STORAGE OR TRANSPORT OF ARTICLES OR MATERIALS, e.g. BAGS, BARRELS, BOTTLES, BOXES, CANS, CARTONS, CRATES, DRUMS, JARS, TANKS, HOPPERS, FORWARDING CONTAINERS; ACCESSORIES, CLOSURES, OR FITTINGS THEREFOR; PACKAGING ELEMENTS; PACKAGES
    • B65D5/00—Rigid or semi-rigid containers of polygonal cross-section, e.g. boxes, cartons or trays, formed by folding or erecting one or more blanks made of paper
    • B65D5/42—Details of containers or of foldable or erectable container blanks
    • B65D5/4266—Folding lines, score lines, crease lines
    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B65—CONVEYING; PACKING; STORING; HANDLING THIN OR FILAMENTARY MATERIAL
    • B65D—CONTAINERS FOR STORAGE OR TRANSPORT OF ARTICLES OR MATERIALS, e.g. BAGS, BARRELS, BOTTLES, BOXES, CANS, CARTONS, CRATES, DRUMS, JARS, TANKS, HOPPERS, FORWARDING CONTAINERS; ACCESSORIES, CLOSURES, OR FITTINGS THEREFOR; PACKAGING ELEMENTS; PACKAGES
    • B65D5/00—Rigid or semi-rigid containers of polygonal cross-section, e.g. boxes, cartons or trays, formed by folding or erecting one or more blanks made of paper
    • B65D5/42—Details of containers or of foldable or erectable container blanks
    • B65D5/44—Integral, inserted or attached portions forming internal or external fittings
    • B65D5/48—Partitions
    • B65D5/48024—Partitions inserted
    • B65D5/48026—Squaring or like elements, e.g. honeycomb element, i.e. at least four not aligned compartments
    • B65D5/48032—Squaring or like elements, e.g. honeycomb element, i.e. at least four not aligned compartments made of paper, provided with an at least partial bottom
    • B65D5/48034—Squaring or like elements, e.g. honeycomb element, i.e. at least four not aligned compartments made of paper, provided with an at least partial bottom by folding a single blank
    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B65—CONVEYING; PACKING; STORING; HANDLING THIN OR FILAMENTARY MATERIAL
    • B65D—CONTAINERS FOR STORAGE OR TRANSPORT OF ARTICLES OR MATERIALS, e.g. BAGS, BARRELS, BOTTLES, BOXES, CANS, CARTONS, CRATES, DRUMS, JARS, TANKS, HOPPERS, FORWARDING CONTAINERS; ACCESSORIES, CLOSURES, OR FITTINGS THEREFOR; PACKAGING ELEMENTS; PACKAGES
    • B65D65/00—Wrappers or flexible covers; Packaging materials of special type or form
    • B65D65/02—Wrappers or flexible covers
    • B65D65/04—Wrappers or flexible covers non-rectangular
    • E—FIXED CONSTRUCTIONS
    • E04—BUILDING
    • E04B—GENERAL BUILDING CONSTRUCTIONS; WALLS, e.g. PARTITIONS; ROOFS; FLOORS; CEILINGS; INSULATION OR OTHER PROTECTION OF BUILDINGS
    • E04B1/00—Constructions in general; Structures which are not restricted either to walls, e.g. partitions, or floors or ceilings or roofs
    • E04B1/343—Structures characterised by movable, separable, or collapsible parts, e.g. for transport
    • E04B1/344—Structures characterised by movable, separable, or collapsible parts, e.g. for transport with hinged parts
    • E04B1/3449—Structures characterised by movable, separable, or collapsible parts, e.g. for transport with hinged parts with living hinge
    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B29—WORKING OF PLASTICS; WORKING OF SUBSTANCES IN A PLASTIC STATE IN GENERAL
    • B29C—SHAPING OR JOINING OF PLASTICS; SHAPING OF MATERIAL IN A PLASTIC STATE, NOT OTHERWISE PROVIDED FOR; AFTER-TREATMENT OF THE SHAPED PRODUCTS, e.g. REPAIRING
    • B29C2949/00—Indexing scheme relating to blow-moulding
    • B29C2949/07—Preforms or parisons characterised by their configuration
    • B29C2949/0715—Preforms or parisons characterised by their configuration the preform having one end closed
    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B29—WORKING OF PLASTICS; WORKING OF SUBSTANCES IN A PLASTIC STATE IN GENERAL
    • B29C—SHAPING OR JOINING OF PLASTICS; SHAPING OF MATERIAL IN A PLASTIC STATE, NOT OTHERWISE PROVIDED FOR; AFTER-TREATMENT OF THE SHAPED PRODUCTS, e.g. REPAIRING
    • B29C49/00—Blow-moulding, i.e. blowing a preform or parison to a desired shape within a mould; Apparatus therefor
    • B29C49/02—Combined blow-moulding and manufacture of the preform or the parison
    • B29C49/06—Injection blow-moulding
    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B29—WORKING OF PLASTICS; WORKING OF SUBSTANCES IN A PLASTIC STATE IN GENERAL
    • B29C—SHAPING OR JOINING OF PLASTICS; SHAPING OF MATERIAL IN A PLASTIC STATE, NOT OTHERWISE PROVIDED FOR; AFTER-TREATMENT OF THE SHAPED PRODUCTS, e.g. REPAIRING
    • B29C53/00—Shaping by bending, folding, twisting, straightening or flattening; Apparatus therefor
    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B29—WORKING OF PLASTICS; WORKING OF SUBSTANCES IN A PLASTIC STATE IN GENERAL
    • B29C—SHAPING OR JOINING OF PLASTICS; SHAPING OF MATERIAL IN A PLASTIC STATE, NOT OTHERWISE PROVIDED FOR; AFTER-TREATMENT OF THE SHAPED PRODUCTS, e.g. REPAIRING
    • B29C53/00—Shaping by bending, folding, twisting, straightening or flattening; Apparatus therefor
    • B29C53/02—Bending or folding
    • B29C53/04—Bending or folding of plates or sheets
    • B29C53/06—Forming folding lines by pressing or scoring
    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B29—WORKING OF PLASTICS; WORKING OF SUBSTANCES IN A PLASTIC STATE IN GENERAL
    • B29K—INDEXING SCHEME ASSOCIATED WITH SUBCLASSES B29B, B29C OR B29D, RELATING TO MOULDING MATERIALS OR TO MATERIALS FOR MOULDS, REINFORCEMENTS, FILLERS OR PREFORMED PARTS, e.g. INSERTS
    • B29K2067/00—Use of polyesters or derivatives thereof, as moulding material
    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B29—WORKING OF PLASTICS; WORKING OF SUBSTANCES IN A PLASTIC STATE IN GENERAL
    • B29L—INDEXING SCHEME ASSOCIATED WITH SUBCLASS B29C, RELATING TO PARTICULAR ARTICLES
    • B29L2031/00—Other particular articles
    • B29L2031/22—Hinges, pivots

Definitions

  • the present invention relates to a structure with a fold line, a mold for forming a fold line, and a method for forming a fold line, which can be folded between a folded state in which the outer shape becomes smaller and an expanded state in which the outer shape becomes larger.
  • a plate-shaped, cylindrical-shaped or conical-walled structure is divided into polygonal parts (flat walls) such as triangles or quadrilaterals by a large number of folding lines.
  • the present invention relates to a folding structure with a folding line, wherein a folding line at a boundary portion of the folding line can be folded.
  • the present invention is applicable to a plate-shaped object with a fold line and a cylindrical object and a cone-shaped object with a fold line that can be folded in the axial direction.
  • plate members such as a rigid floor or bottom wall
  • It can be used for various containers with cylindrical walls such as pet bottles, objects with conical walls such as lamp shades, outer space structures, and architectural structures.
  • Background Art Research on the development of folding and deployable structures is technically related to the construction of antennas and solar cell structures for deployment in outer space, or, conversely, to the study of plastic buckling using the folding method. Evolved. In addition, these studies have also been applied to research aimed at elucidating the growth and motor functions of living things, such as the mechanism of folding of insect wings and leaves.
  • a planar folding structure and a cylindrical folding structure having a foldable fold line are conventionally known (see (J01) and (J02) below), but a conical fold structure having a foldable fold line is known. The thing is not known conventionally.
  • the conventional foldable structures with foldable lines are mainly the development of space structures.
  • the following technologies (J01) and (J 02) are known.
  • Miuraori divides a planar structure into a number of parallelograms formed by fold lines, and has a flat plate shape with an expanded outer shape when the fold line is extended, and a reduced outer shape when folded. Moreover, it becomes a flat plate shape having unevenness with an increased thickness.
  • a cylindrical wall is divided into a number of triangular plate walls by a number of folding lines including a folding line formed along a spiral. It is described that a foldable cylindrical wall can be formed by connecting the boundary portions of the triangular plate walls in a foldable manner.
  • the length of a side of a triangle at which a folding structure can be folded is shown by numerical calculation. Judging from the lengths of the sides of the triangle indicated by the numerical calculations, the shape of the foldable triangle is like a triangle approximated to an isosceles triangle with a base angle of about 30 °.
  • the cylindrical folding structures described in the above-mentioned documents (a) to (c) have extended fold lines. When unfolded, it becomes a cylinder, and when folded, it becomes a cylinder that contracts in the axial direction.
  • the condition of the folding line that can be folded is not known, so the used folding line is used within a range that is empirically known. . That is, the flat wall formed by the fold lines used is limited to a parallelogram in a planar folding structure, and is limited to a triangle in a cylindrical folding structure.
  • the conventional foldable cylindrical folding structure is premised on having a fold line along a spiral, and the shape of the flat plate wall formed by the fold line has a base angle of about 3 degrees. It is only a triangle similar to a 0 ° isosceles triangle.
  • the inventor of the present invention has found that if the conditions for the foldable fold line of a fold line formed with a fold line become clear, the discovery of a new method of folding the fold structure, and the invention and use of a new fold structure will become necessary. I thought it would be easier.
  • the present inventor conducted a study (a study of a folding method) for finding a condition of a foldable line of a folding structure (a structure with a folding line) to which a folding line was previously attached.
  • folding lines that can be folded along conventional folding lines are often performed using origami models that use origami, but folding lines that can be folded are complex. Therefore, it takes time to form a foldable fold line. In particular, it takes time to form a fold line on a sheet that is more rigid than origami. Therefore, the present inventor has studied on a method of easily forming a folding line on a sheet-like member such as paper, metal foil, and plastic sheet.
  • the present inventor has found the following as a result of research on a method of folding a folded structure and a method of forming a folding line of a sheet-like member.
  • the plane wall and the quasi-cylindrical wall and the conical wall formed by a large number of divided plane walls are formed by a large number of divided plane walls of a predetermined shape divided by a large number of linear folding lines. be able to. In that case, the flat wall, the cylindrical wall, and the conical wall can be folded when the folding line satisfies a predetermined folding condition.
  • the shape of a large number of divided flat walls obtained by dividing a flat wall or a cylindrical wall by a folding line is a shape which has been studied in the past (a parallelogram or a cylindrical wall in the case of a flat wall).
  • Various shapes other than isosceles triangles and isosceles trapezoids are possible.
  • the plate with the folding line is half-folded or completely folded with the sheet-like member sandwiched by two plates with the same folding line that can be folded, thereby easily folding the sheet-like member. It is possible to form lines.
  • FIG. 1 is a fold line explanatory diagram showing a typical example of a fold line which is a straight line to be folded of an origami or a folded structure and a node which is an intersection of a plurality of fold lines.
  • Fig. 1 the fold lines formed by mountain folds are represented by solid lines (Ml, M2, M3), and the valley fold lines are represented by broken lines (VI).
  • the number of mountain folds and valley fold lines joining the nodes is NM, respectively. , NV . It is well known that the following equation holds between NM and NV at a node.
  • NT 2 (1 + NV), which means that the number of fold lines that make up the node is "even".
  • Equation (2) is the relational expression of the angle when completely folded along the fold lines (1) to (4) in the Y-axis direction.
  • the strip of paper is folded in half, and the axial direction to the right of the node is folded by 2 ⁇ (when o is ⁇ ) or 2; 8 (when ⁇ > ⁇ 8).
  • planar fold refers to folding plane paper in a zigzag manner and folding it into a new plane in this manner, and a method of folding to produce a cylindrical structure that can be folded in the same direction and folded in the Y-axis direction. Is roughly divided into "cylindrical cage”.
  • FIG 2 is an illustration of the folding structure called "Miuraror ', which was devised by Miura for deployment of space structures.
  • the folding line of the folding structure is composed of three horizontal folding lines ((1) to (3)) and three zigzag folding lines (mountain, valley, mountain fold line, (4; ) To (6)).
  • folding lines (1) to (3) mountain folds and valley folds are alternately performed so that the expression (1) is satisfied.
  • Each of the fold lines (4) to (6) is "symmetric" with respect to all of the fold lines (1) to (3). Therefore, at each node (black dot), the folding condition of Expression (2) is automatically satisfied at an arbitrary angle ⁇ in the figure, and the node can be completely folded in the ⁇ -axis direction in the figure.
  • FIG. 3 is a diagram in which the horizontal fold lines shown in FIG. 2 are zigzag at equal angles.
  • the fold lines (4) to (6) are symmetrical to the horizontal fold lines (1) to (3). Even if the zigzag operation is performed, the folding condition in the ⁇ -axis direction in Equation (2) is satisfied, and the flat paper in FIG. 3 is completely folded in a new shape. When this fold is made into a half-folded state, it is possible to make the flat paper three-dimensional, that is, to have an "apparent" thickness, and it is possible to produce a highly rigid and lightweight flat plate.
  • the fan or disk can be folded in the radial direction.
  • Fig. 4 is a diagram showing an example of a foldable line of a part (sector-shaped part) of a disk formed by six sector-shaped elements having a vertex angle of 26).
  • the circumferential folding lines (1) to (5) are bent by 2®.
  • the radial fold lines (7), (8), (9) ... are provided zigzag within the angle ⁇ , and the outer sides A, B, C ... make an angle ⁇ with the outer side.
  • the angle ⁇ ⁇ between the circumferential fold line (1) and the radial fold line is ⁇ Taking _ ⁇ satisfies the folding conditional expression (2).
  • the folding condition is satisfied at all the nodes, It is possible to draw an exploded view that can fold the plate in the radial direction.
  • a circular plate is also developed in a development view that can be folded in the radial direction. can do.
  • FIG. 5 is a diagram in which the horizontal fold lines shown in FIG. 2 are taken at an arbitrary inclination.
  • the fold lines (7) to (9) are equal to the fold lines (1) to (6) at all nodes.
  • FIG. 3 is a diagram plotted symmetrically. As shown in Fig. 5, when the fold lines (7) to (9) are plotted at all nodes at equal angles and symmetrically with respect to the fold lines (1;) to (6), the folding condition is satisfied at each node. It can be folded in the Y-axis direction.
  • ⁇ 1 and ⁇ 1 (initial values) can be freely selected.
  • FIG. 6 is a diagram showing an example of a folding line taking into account the periodicity of the folding method of FIG.
  • horizontal fold lines (1) to (6) indicate a fold line group having micro-squares 0 alternately with the horizontal direction.
  • FIG. 7 is a diagram showing plane folding by the one-node four-fold line method and the one-node six-fold line method, showing an example of the folding method considered by the present inventors.
  • FIG. 8 is a view showing a folding condition of one node where six folding lines of the nodes shown in FIG. 7 intersect and six folding lines (one node and six folding lines) around the node.
  • the mountain fold line is (Ml), (M2), (M3), (M4)
  • the valley fold line is (VI), (V2)
  • the extension of the fold line (VI) is the X axis.
  • the angle between (Ml) and (VI), (M2) and (VI) is ⁇ , ⁇ , the angle between ( ⁇ 3) and (V2), the angle between (M4) and (V2) is ⁇ , and ⁇ 5
  • the folding condition is expressed by the following equation (3).
  • FIG. 9 is a diagram for explaining the conditions in which both ends of the band plate are joined to form a cylinder when the band plate is folded along the fold line
  • Fig. 9 ⁇ shows the angle between the band plate, the fold line and the fold line
  • FIG. 9B is a diagram showing a change in the direction of the reference axis when folded along the folding line shown in FIG. 9A.
  • N even number
  • the angles between the N fold lines (1), (2),... and the X axis are S1, ⁇ 2,- ⁇ , 0n, and the axis directions after the fold are XI, X2... I do.
  • the first folding operation folding line (1)
  • the right side of (1) becomes the back side.
  • FIG. 10 is an explanatory view of an example in which the above-mentioned expression (5) is satisfied and the folding direction is the same as the folding direction (either mountain fold or valley fold).
  • Figure 10B shows the folded state of the strip in the folded state, (1), (2), (3), and (4),
  • Figure 10B shows the state during folding, and
  • Figure 10C shows the folded state.
  • FIG. 11 is an explanatory view of an example in which the above formula (5) is satisfied and the folding direction is a regular hexagonal folding line along the folding line in the same direction (either mountain fold or valley fold), and FIG. Figure 1B shows the folded lines (1), (2), (3), (4), (5), and (6) of the folded strip, FIG. FIG. 1C is a view showing a folded state.
  • FIG. 12 is an explanatory view of an example in which the above formula (5) is satisfied and the folding direction is folded in a regular octagon by a folding line in the same direction.
  • FIG. , (2),..., (8), FIG. 12 ⁇ is a diagram showing a state of being folded, and FIG. 12C is a diagram showing a state of being folded.
  • the fold lines (1) to (8) of the strip extending in the X-axis direction which is the reference axis, are bent in the same direction at angles 6 to 1 to 6 to the X-axis, respectively.
  • FIG. 13 is an explanatory view of an example in which the above formula (5) is satisfied and the folding direction is alternately reversed (reversed in the mountain fold direction and the valley fold direction).
  • ⁇ shows the folded lines (1) to (12) of the unfolded strip
  • FIG. 13B to FIG. 13F show the folded state
  • FIG. 13G shows the folded state.
  • the fold lines (1), (3),..., Shown by solid lines are folded in the same direction (for example, the mountain fold direction) of the strip extending in the X-axis direction, which is the reference axis.
  • the imaginary line (13) shown in FIG. 13 is a line overlapping the fold line (1) when the band plate is folded.
  • the main fold line using the 4-fold line method and the 6-fold line method is composed of a group of horizontal fold lines.
  • Figures 1-4 to 1 show the development of a model for manufacturing a cylinder that can be folded in the axial direction.
  • Figure 6 shows the results.
  • a square plate can be formed by bending a band-shaped plate in the same direction at equal intervals of ⁇ ⁇ ( ⁇ 2) ⁇ .
  • ⁇ ⁇ ( ⁇ 2) ⁇ is the size of the interior angle of a regular square.
  • the six zigzag mountain fold lines (1) to (6) that form an angle of 6 with the horizontal folding line are considered.
  • ⁇ 3 is bent at a time, and finally a cylindrical structure that is folded in a hexagonal cross section is manufactured.
  • the division of the angle can be arbitrarily selected as long as the sum is CZ 3.
  • Fig. 16A is an exploded view of the cylinder produced according to Fig. 16A.
  • Fig. 16A shows the half-folded state of the folded cylinder produced when both ends of the exploded view of Fig. 16A are joined.
  • FIG. 16C is a perspective view of the same thing as FIG.
  • Fig. 17 is a diagram in which points ⁇ and ⁇ in Fig. 14 are matched and the mountain fold is removed from the horizontal fold line.
  • the diamond pattern consisting of an isosceles triangle with a base angle of ⁇ / 6 in the horizontal direction (( It is a development view of 1) to (3)).
  • the cross-sectional shape at the horizontal fold line becomes an equilateral triangle, which corresponds to the diammond buckling model in the plastic buckling of a thin-walled cylinder.
  • FIG. 19 is an explanatory view of a pseudo-cylindrical body having a development view that is symmetrical and foldable one by one with respect to a horizontal folding line
  • FIG. 19A is a development view
  • FIG. 19C is a view showing a half-folded state of a folding cylinder manufactured when both ends of the exploded view of FIG. 9 are joined
  • FIG. 19C is a view of the same thing as FIG.
  • the five types of developed views shown in FIGS. 14 to 17 are applicable to all horizontal folding lines, but the developed views shown in FIG. 19 can also be folded.
  • FIG. 20 is a view showing an example of a developed view of the folding constituted only by the folding line similar to the point B in FIG.
  • FIG. 21 is a developed view of a foldable cylindrical wall having a plurality of polygonal parts (flat walls) formed by folding lines.
  • the cylindrical wall having the developed view of FIG. 21 can create a foldable cylindrical body having a plurality of polygonal parts.
  • Fig. 22 shows the case where the connecting part of the divided flat plate made of the triangular split plate examined by Guest et al. Becomes spiral, and the spiral (1) rises one step each time it makes a round.
  • the present inventor has shown a cylindrical structure in a developed view. They analyzed the characteristics of the cylinder shown in the expanded view in Fig. 22 when folded, using the angles ( ⁇ , ⁇ ) between the spirals as variables, but did not show the complete folding condition. I could't do it.
  • FIG. 24 is an explanatory view of a pseudo-cylindrical body having a development view equivalent to that of FIG. 23, FIG. 24A is a development view, and FIG. 24B is both ends of the development views of FIG. 23 and FIG. 24A. When joined It is a figure which shows the half-fold state of the folding cylinder made.
  • FIG. 25 is an explanatory view of a pseudo-cylindrical body k having a development view obtained by inclining FIG. 14/6
  • FIG. 25A is a development view
  • FIG. 25B is an end view of the development view of FIG. 25A. It is a figure which shows the half-fold state of the folding cylinder manufactured at the time of joining.
  • FIG. 25A corresponds to a diagram in which FIG. 14 is cut along a horizontal line and a straight line GH inclined by ⁇ 6, and the cut line is a horizontal lower end.
  • FIG. 26 is an explanatory view of a pseudo-cylindrical body having a development view in which FIG. 15 is inclined by ⁇ 6.
  • FIG. 26 ⁇ is a development view
  • FIG. 26 6 is both ends of the development view of FIG. 26 ⁇ .
  • FIG. 6 is a view showing a half-folded state of a folding cylinder manufactured when the two are joined.
  • FIG. 27 is a developed view in which FIG. 16 is inclined by ⁇ 6.
  • Fig. 28 is the spiral type shown in Fig. 19, which is obtained by cutting along the straight line connecting points A and D in the figure.
  • the angle ( ⁇ 0.193 volt) shown in Fig. 28 indicates the angle between this cutting line and the horizontal line. In this case, the angle of the valley fold line is limited because the shape of the triangular element is given. Will be done.
  • FIG. 29 is an explanatory view of a spiral folding cylinder having a folding line, which is a generalized version of FIG. 24.
  • FIG. 29 ⁇ is an expanded view
  • FIG. 29B is an expanded view of FIG. 29A. It is a figure which shows the half-folded state of the folding cylinder manufactured when both ends are joined.
  • the folding condition does not depend on the value of 3 in Fig. 29A (see below).
  • FIG. 30 is a developed view in the case where the value of (3) is changed for each of the six developed steps shown in FIG.
  • Fig. 31 is a development view of the repetitive spiral type obtained by reversing the spiral mountain fold line and valley fold line of Fig. 29 2 for each stage. This development also matches points ⁇ and ⁇ in Figure 16 Can also be obtained.
  • FIG. 32 is a view showing a portion cut by two parallel straight lines AB ′, C ′ D in the developed view of the cylindrical body shown in FIG. 21, wherein A and B ′ and D and C ′ are FIG. 32 is a development view of a foldable cylinder formed by connecting the left and right edges of FIG. 32 so as to overlap.
  • the cylindrical wall having the developed view shown in Fig. 32 can create a foldable cylindrical body having a plurality of polygonal parts.
  • Figure 33 is a developed view of a collapsible cylinder having a quadrangular element (part) of arbitrary shape.
  • FIG. 34 is an explanatory diagram of a method for maintaining continuity when both ends of the developed view are joined.
  • Lu ⁇ 2 N— m ⁇ tan / / tan ⁇ h / tan? /) (6)
  • a typical example verifies whether the condition for closing in the circumferential direction (see equation (5)) is satisfied when the cylinder having the folding line described above is folded.
  • the angle in the figure; 8 can be freely selected.
  • the inclination angle of the valley fold line was set to ⁇ / ⁇ .
  • the inclination angle of the main folding line is not limited to ⁇ ⁇ as long as the continuity of the developed view can be satisfied.
  • the present inventor examined the folding characteristics in the axial direction with a pseudo cylinder made of a polypropylene sheet having a thickness of 0.2 mm according to the above development view, and confirmed that this was possible.
  • a pseudo cylinder made of a polypropylene sheet having a thickness of 0.2 mm according to the above development view.
  • Figure 35 shows the angular relationship between the folding lines that are folded at these nodes when the conical wall that constitutes the foldable conical folding structure with folding lines has one contact, six folding lines, and one node and four folding lines.
  • Figure 37 shows the angular relationship between the folding lines that are folded at these nodes when the conical wall that constitutes the foldable conical folding structure with folding lines has one contact, six folding lines, and one node and four folding lines.
  • FIG. 35 shows the angular relationship between the fold lines satisfying the folding condition when the valley fold line is symmetrically inserted in the case of 1 node and 6 fold lines, in the case of Figs. 50 to 52 described later.
  • FIG. 4 is an explanatory diagram of folding conditions.
  • FIG. 9 is a diagram showing an angle relationship between folding lines satisfying folding conditions, and is an explanatory diagram of folding conditions in the case of FIGS. 56B and 57 described later.
  • ⁇ 3 ⁇ / 2 + *-( ⁇ + 6> 2 ),
  • Fig. 37 shows the case of a 1-node 4-fold line.
  • the folding condition is obtained by the same procedure as above.
  • FIG. 38 is an enlarged view of a main part of the developed view in the case where the developed view of a cone whose main folding line is parallel to the outer side of the developed view is composed of ⁇ isosceles triangles having a vertex angle of 2 °.
  • the valley fold line (dashed line) in Fig. 38 is called the main fold line.
  • the vertex is 0, the points on the outer side are A, ⁇ , C, and D. From these points, a straight line that forms an angle ⁇ with the outer side is plotted, and the intersection points are ⁇ , F, and G.
  • Fig. 39 is an explanatory diagram of a pseudo-cone wall having a development diagram of a pseudo-cone wall with a fold line obtained by using the values obtained by equation (14).
  • Fig. 39A is a development diagram
  • Fig. 39B is a development diagram.
  • FIG. 39 is a perspective view of a half-folded state of the conical wall with a fold line having the developed view of FIG. 39A.
  • FIG. 40 is an enlarged view of a main part of a development view of a conical wall with a fold line when divided into inequilateral triangular elements by a fold line.
  • the points on the outer edge are A, B, C, D ..., and the line that forms an angle with the outer edge at each point is drawn on the upper right, and the line that forms the angle ⁇ is drawn on the upper left.
  • Be ⁇ , F, G (ZBOF ⁇ *). From these points, draw straight lines from the points EF and FG to the upper left at an angle ⁇ , and to the upper right at an angle ⁇ , and let their intersections be ⁇ and I.
  • Points ⁇ , ⁇ , ⁇ and ⁇ , I, C form a straight line.
  • An asymmetric diamond pattern is obtained on the left and right of the straight line OF.
  • ZBFE / 9
  • ZCFGG r
  • the intersection of EF and BC be J.
  • AO BC and AO CD, ⁇ EF and ⁇ ⁇ FG are isosceles triangles each having an apex angle of 2 °
  • ZO F J ZO C J is obtained.
  • FIG. 42 is a development view of a conical wall with a fold line when divided into a trapezoidal triangular element by a fold line having an angle ⁇ in the upper right and an angle ⁇ in the upper left at the point F in FIG. 40.
  • a, and ⁇ are developed views when the same values as in FIG. 41 are used.
  • FIG. 43 is an enlarged view of a main part of a development view of a conical wall with a fold line in the case of dividing by a trapezoidal element instead of dividing by the isosceles triangular element of FIG. 38.
  • line segment CF is a valley fold line, it is folded by folding at node C.
  • the angle formed by the later mountain fold DC and valley fold CF is given by ⁇ * — ⁇ , and this value can be expressed by the following equation (19) using the above equation (18).
  • Fig. 45 shows the development of a conical wall with a folding line consisting of N isosceles triangular elements (vertical angle 2 ⁇ ), with only one step drawn out as a curved strip.
  • FIG. 46 shows a polygonal conical wall with a simple helical development of three isosceles triangular elements.
  • FIG. FIG. 47 is a top view when the developed view of FIG. 46 is folded.
  • Fig. 46 the three spirals (1) to (3) emerging from points A, F and G are the radiations in Fig. 46 It consists of a mountain-shaped fold line.
  • FIG. 48 is an explanatory diagram of a practical model obtained by deforming the model described in FIGS. 45 and 46
  • FIG. 48 is an explanatory diagram of the deforming method
  • FIG. 48B is a diagram of FIG. It is a principal part enlarged view.
  • the valley fold line is assumed to be A F, and the angles a to ⁇ and D and Q are given as shown in the figure.
  • Fig. 49 is a view showing the state when the figure ABGHFE formed by the fold line in Fig. 48 ⁇ ⁇ is sequentially folded at the fold lines AF and BF, and Fig. 49A shows a valley-folded AF.
  • Fig. 49B shows the state of the subsequent rectangles ABFE and BGHF (hatched area; back side).
  • Fig. 49B shows the state of Fig. 49A after mountain folding at B'F (original line segment BF). It is a figure showing a state.
  • Fig. 50 corresponds to the part corresponding to the first-stage strip shown in Fig. 48 It is a figure showing a part.
  • FIG. 50 it is possible to newly draw the second stage based on points E, F, and H in the same procedure as that performed in FIG. 48.
  • the rectangles in the second row are similar to those in the first row.
  • Equation (27) shows that the conditional expression for folding at node F is satisfied.
  • FIG. 51 1 is a developed view
  • FIG. 51B is a conical wall with a folding line having the developed view of FIG. It is a perspective view in the state where it was folded in half.
  • FIG. 53 is a developed view when the number of steps in the developed view of FIG. 51A is reduced and the value of Y * is increased for each step.
  • FIG. 54 is a developed view showing the same conical wall as the folded conical wall having the developed view of FIG. 53.
  • FIG. 54 is a developed view of a conical wall having the same shape as that of FIG. 53 described above. In FIG. 54, the joining of both side edges is easier than in FIG.
  • Fig. 55 shows the second valley fold line in Fig. 50 in the opposite direction to that of the first tier at an angle ⁇ .
  • FIG. 56 is an explanatory view of a pseudo-cone having a developed view in which FIG. 51 is made into a repetitive spiral type.
  • FIG. 56A is a developed view
  • FIG. 56B is a folding line having the developed view of FIG. It is a perspective view in the state where the attached conical wall was folded in half.
  • the two patterns formed by the fold lines in the above development are similar and become smaller toward the center.
  • FIG. 58 is an explanatory view of an exploded view of a foldable conical wall having a fold line along a conformal spiral
  • FIG. 58 8 is an overall explanatory view
  • FIG. 58B is FIG. FIG.
  • each of these points is on a conformal helix emanating from the center O.
  • (1), (2), and (3) are counterclockwise spirals
  • (4), (5), and (6) are clockwise spirals.
  • the angle between line segments AF, FG, GH is 2 ( ⁇ - ⁇ ') It is.
  • the folding conditions are examined using the enlarged view of the two rectangles on the left and right of point F (Fig. 58-8 ⁇ ). These rectangles are congruent, and the line segments BF and FG form the angle 2 2.
  • the radius of the second stage point (C, J, G ⁇ ) and the third stage point (D, ⁇ , H ⁇ ) from the outer circumference are sequentially! ) 2 , P 3 ...
  • FIG. 59 is an explanatory view of a development view of a conical wall with a fold line when the spiral of FIG. 58 is reversed.
  • Figure 41 corresponds to this case, and Figure 39 can also be represented in this form.
  • FIG. 60 is an explanatory diagram of how to draw the developed view of FIG. 44A.
  • Fig. 60 line segments (1) and (2) are drawn from points A and G at the same angle ⁇ , and line segments OB and OH are drawn symmetrically with respect to the perpendicular drawn from point O to the bottom AG of AOAG. Let B and H be the intersections with.
  • FIG. 51A is a conformal spiral from the description of FIG. 50.
  • FIG. 61 is an explanatory view of a pseudo-cone having an exploded view in which FIG. 44 is made into a conformal spiral
  • FIG. 61A is an exploded view
  • FIG. 61B is an exploded view of FIG. 61A.
  • FIG. 4 is a perspective view of a state in which the conical wall with a folding line is half-folded.
  • FIG. 61 and FIG. 61B a development view in which the folding lines form an isosceles trapezoidal shape arranged along a spiral can also form a foldable conical wall.
  • FIG. 62 is a developed view of a folding conical wall with a folding line in which the circumferential spiral of FIG. 51A is raised one step at the right end.
  • the right side ⁇ and the left side edge are set so that the right end points A, B, C,... and the left end points D, E, F, D overlap.
  • the folding condition at the node is automatically established when the equiangular spiral or the inverted type of the equiangular spiral is combined, but the folding condition in the circumferential direction is based on the circumference of the folding angle at each point. It must be set using Figure 45 or the previous geometric considerations so that the sum of the directions is two.
  • the nodes on these developments are )
  • the value can be determined and determined from the intersection of the concentric circles of the radii p, p 2 , p 3 ... and the radii.
  • the folding mechanism shown here is considered to be a basic model of a large structure such as a foldable dome roof and a tent structure. There are many issues that need to be overcome to achieve these, but adding another ingenuity to the proposed folding model would likely lead to new forms of processing and products.
  • FIG. 63 is an explanatory diagram of the simplest folding method for origami.
  • one contact point (black dot) is composed of four fold lines. If the mountain fold is (1), (2), (3) and the valley fold is (4), the angle ⁇ formed by the extension lines (5) and (2) of (1) and the fold line (3) and ( 4) When the angles are equal, they can be folded.
  • This folding condition is interpreted as follows.
  • the line segment that bisects the angle between the mountain fold line (2) and (3) is ( ⁇ ), and the line perpendicular to this is ( ⁇ ).
  • the angle between the valley fold line (4) and the extension (5) of (1) is bisected by ( ⁇ ⁇ ⁇ ⁇ ) (at an angle of; 8). At this time, the angle between (1) and (A) is also 6; Considering (B) as a mirror surface, (2) and (3) can be regarded as incident light and (4) as reflected light.
  • FIG. 64 is an explanatory view of a development view of the disc-shaped folding structure with a folding line
  • FIG. 64A is an enlarged view of a main part for explaining folding conditions
  • FIG. 64B is an overall view.
  • Fig. 64A consider a method of folding zigZzag in the center direction by combining the zigZzag fold line (1) toward the center and (2) in the circumferential direction.
  • a straight line is drawn from the points A, B, C ... on the outer side so as to form an angle with the main radiation, the intersections with the sub-radiation are F, G, H ..., and the radius from the center point 0 is.
  • the points I, J, K ... on the concentric circles (radius R 2 ) are taken on the original radiations OA, OB, OC.
  • the fold lines in the circumferential direction, FG, GH ... and IJ, JK, rotate around the center at an angle of 2 ® due to symmetry.
  • FIG. 65 is an enlarged view of a development view of the disc-shaped folding structure with a folding line shown in FIG. 64B.
  • FIG. 66 is a perspective view of the disk-shaped folding structure with a folding line having the development view of FIG. 65 in a half-folded state and a small amount of folding.
  • FIG. 67 is a perspective view of the disk-shaped folding structure with a folding line having the developed view of FIG. 65 in a half-folded state and a large amount of folding.
  • FIG. 68 is a perspective view showing a state in which the disk-shaped folding structure with a folding line having the developed view of FIG. 65 is completely folded.
  • the disc-shaped folding structure S with fold lines shown in FIGS. 65 to 68 has a circular hole Sa formed at the center in the developed view shown in FIG.
  • the inner diameter of the circular hole Sa becomes smaller as it is folded from FIG. 65 to FIG. 66, FIG. 67, and FIG.
  • a number of mountain fold lines M having a convex upper surface and a number of valley fold lines V having a concave shape are formed in a half-fold state. .
  • the folding line pattern of the foldable circular colored sheet is one node and four folding lines.
  • the fold lines are formed along a plurality of conformal spirals so as to satisfy the folding condition of the circular sheet.
  • the disc-shaped folding structure S with folding lines shown in Fig. 65 to Fig. 68 has a foldable color. When it is made up of colored sheets or the like that are colored, the shape becomes beautiful according to the amount of folding, and the visible color changes according to the shape.
  • the disc-shaped folded structure S with a folding line a large one can be used as an upholstery, and a small one can be used as a body decoration such as a broach.
  • Fig. 69 is an exploded view of a disk-shaped folding structure with a folding line when the swing angle of the folding line of zigZzag in the radial direction is increased as approaching the center.
  • Fig. 69A shows the folding conditions.
  • FIG. 69B is an enlarged view of a main part for explanation.
  • Figure 70 shows the development of a disc-shaped folding structure with a folding line when the swing angle of the zig / zag folding line in the radial direction is increased toward the center and the circumferential folding line is also zigZzag.
  • FIG. 70A is an enlarged view of a main part for explaining folding conditions
  • FIG. 70B is an overall view.
  • radius R. And R. * alternately depict the main radiation O A, O B ... and draw the sub-radiation OF, OG ... shifted from them by 20.
  • F, G, and H are the intersections of the lines drawn from points A, B, and C at an angle to the main radiation and the sub-radiation.
  • the folding line method was used up to the eighth step from the outer circumference. Central part In the center, alternately laying valley folds and valley folds at the center to avoid the blank area in the center.
  • FIG. 71 is an explanatory view of a conventionally known winding method in which the intersection of the spiral folding lines is on the Archimedes spiral.
  • Fig. 71 the blank area in the center is indicated by a regular N-gon.
  • a perpendicular is drawn from the vertex B of the regular N-gon to the side AB, and the intersection of the perpendicular and the fold line A F ((1)) is C.
  • Draw a line segment CD so as to be symmetrical to the folding line (1) (ZACD 2 TT / N :).
  • N fold lines are drawn from the vertices of a regular N-gon so as to be symmetrical each time they intersect with the fold line, an evenly spaced spiral pattern is obtained. It is easy to see that the intersection of the radial fold line and this spiral fold line is on the Archimedean spiral centered on the center.
  • FIG. 72 is a diagram showing a new folding line considered by the present inventor.
  • FIG. 72A is a diagram in FIG. 71 in which the radial folding line (1) has one bending point.
  • Fig. 72B is a diagram in which the outside of the bending point in Fig. 72A is replaced by a method of folding in the radial direction.
  • the folding method using the conformal spiral style is a straight fold formed along the conformal spiral.
  • FIG. 73 is an explanatory diagram of fold lines when a circular film or a partial circular film (sector-shaped film) or the like is folded in the radial and circumferential directions along a conformal spiral.
  • N isosceles triangular elements
  • the value of ⁇ is positive when C is on the same side as the center O with respect to the line segment B B ′, and negative when C is on the opposite side of the center O.
  • R for the radius of the circular plate.
  • the length (OB) of the radius of the point B is given by the following equation (44).
  • each point is an equiangular helix and the radiation of every 4 mm.
  • the line (3) connecting the points B, D, F, H ... that gives the upper limit of the zigzag line is also given by the intersection of the conformal helix and the radiation.
  • Fig. 74 shows a basic explanation of the folding line when forming a folding line along the equiangular spiral while folding a circular film or a partial circular film (sector-shaped film) around the central axis while winding it around the central axis. It is.
  • fold lines (1) and (5) are alternately set as mountain fold lines, and fold line (4) is alternately set as valley fold lines.
  • Points on fold line (1) are I, J,:, fold line (4)
  • the upper point is named R, S, T
  • the point on the fold line (5) is named Q, U, V as shown in the figure, and the points Q, R, I and The points U, S, and J are connected by a straight line, and these are set as another folding line group (6), (7), (8).
  • the new folding line groups (6;) to (8) also become conformal spirals toward the center O.
  • FIG. 75 is an enlarged view of a main part of FIG. 74.
  • Figure 75 shows an enlarged view of Figure 2 near points S and U.
  • equation (4 8) is a folding condition. That is, if equation (48) holds, the folding condition holds at all nodes.
  • Figure 76 shows a circular or partial circular membrane (fan-shaped membrane) wound around the central axis.
  • FIG. 7 is an explanatory view of folding conditions when forming a folding line along an equiangular spiral.
  • the relational expression of equation (48) is, as shown in FIG. If it is larger, that is, the folding condition is given by equation (48) even if the folding line is directed upward at points ⁇ , D....
  • FIG. 77 is an explanatory diagram of folding conditions when the main folding line is bent at an equal angle to radiation.
  • Points A, B, C and A ', B' on the circumference of the circle are defined as shown in Fig. 77.
  • the central angle is 2 ⁇ (angle of the string AA '), and (2) is the central angle of 2 ⁇ z (angle of the string A'B).
  • (1) is at an angle with the radiation from the center (the angle ⁇ with the outer edge AI), and the fold line (2) is with the radiation at an angle ⁇ (the angle with the outer edge ⁇ 3) 3).
  • Equation (53) Given ⁇ , ⁇ that satisfies Equation (53) is determined by numerical calculation. Equation (51) gives the displacement, and using these values yields a development that satisfies the folding conditions at all nodes.
  • FIGS. 78 to 80 show a developed view obtained by the above-mentioned theory and an example of its folding.
  • FIGS. 78 to 80 the circular membrane whose main fold line is composed of two spirals is folded into a new plane.
  • the central part is folded in a shape protruding upward. This is advantageous when manipulating the unfolding of the structure. Comparing Fig. 79 and Fig. 80, the larger the number of divisions, the smaller the folding.
  • FIG. 82 is a perspective view of the disc-shaped folding structure with a folding line having the development view of FIG. 81 in a half-folded state and a small amount of folding.
  • FIG. 83 is a perspective view of the disc-shaped folding structure with a folding line having the developed view of FIG. 81, in a half-folded state and a large amount of folding.
  • FIG. 84 is a perspective view showing a state in which the disk-shaped folding structure with a folding line having the developed view of FIG. 81 is completely folded.
  • the disc-shaped folding structure S with fold lines shown in FIGS. 81 to 84 is obtained by combining the circular sheet (the disc-shaped fold structure with fold lines) developed as shown in FIG. When folded by V, in the half-fold state where the amount of folding is small, the state is as shown in FIG. 82. When the amount of folding is increased, the state shown in FIG. 83 is obtained. Figure 84 is almost folded, and when fully folded, it folds into a plane.
  • the disc-shaped folding structure S with fold lines similarly to the disc-shaped fold structure S with fold lines, a large one can be used as an upholstery and a small one can be used as a professional. And so on.
  • Figures 85 to 87 show developments in the case of three spirals, four spirals, and one spiral.
  • main fold line in FIG. 85 When the main fold line in FIG. 85 has four spirals, it is folded so as to be wound in a square shape, and when the main fold line in FIG. 86 has three spirals, it is folded so as to be wound in a triangular shape. In the case of one spiral in Fig. 87, the spiral is folded around the central axis.
  • FIG. 89 is a perspective view of the disc-shaped folding structure with a folding line having the development view of FIG. 88, in a half-folded state and a small amount of folding.
  • FIG. 90 is a perspective view of the disc-shaped folding structure with a folding line having the developed view of FIG. 88, in a half-folded state and a state in which the amount of folding is large.
  • FIG. 91 is a perspective view showing a state in which the disk-shaped folding structure with a folding line having the developed view of FIG. 88 is completely folded.
  • the disc-shaped folded structure S with a fold line shown in FIGS. 88 to 91 has a circular hole Sa formed at the center in the developed view shown in FIG. Is the circular hole Sa in the unfolded state in Fig. 88? From then on, the inner diameter becomes smaller as it is folded in FIG. 89, FIG. 90, and FIG.
  • the disc-shaped folding structure S with fold lines shown in FIGS. 88 to 91 is a circular sheet (the disc-shaped fold structure with fold lines) developed as shown in FIG.
  • V When folded by V, in the half-fold state where the amount of folding is small, the state becomes as shown in FIG. 89, and when the amount of folding is increased, the state shown in FIG. 90 is obtained. In the fully folded state, the state is as shown in FIG.
  • the shape of the folding lines M and V of the disc-shaped folding structure S with folding lines in FIGS. 88 to 91 is different from that of FIGS. 65 to 68 and FIGS. 81 to 84. Therefore, in the case of a foldable colored sheet or the like, a shape change and a color change different from those in FIGS. 65 to 68 and FIGS. 81 to 84 are obtained.
  • FIG. 93 is a developed view based on the above-mentioned FIG. 77, which is configured by two kinds of conformal spirals.
  • the developed view in Fig. 93 is folded, it is wrapped around the center symmetrically up and down.
  • the one shown in FIG. 93 suggests that these fold lines are replaced by elastic deformation during winding because the sub-fold lines are fine.
  • FIG. 94 is a development view of a disc-shaped folding structure with fold lines in which mountain fold lines and valley fold lines are alternately provided.
  • the disc-shaped folded structure S with a fold line has a mountain fold line M along an equiangular spiral toward the center from a point obtained by equally dividing the outer periphery thereof into N (N is a positive integer N ⁇ 4).
  • a valley fold line V is formed along an equiangular spiral from the point at which the equally divided outer circumference is further bisected toward the center.
  • the disk-shaped folding structure S with a folding line having the development view shown in FIG. 94 can be folded and developed by a simple folding line, and can be self-deployed because it is deployed by elastic deformation. Since the fold lines at the center are fine, it is necessary to engineeringly combine with the folding method such as Guest, except for soft and thin cloth and rubber, etc.
  • Fig. 95 shows mountain fold lines and valleys. It is a development view of a disc-shaped folding structure with a folding line in which folding lines are provided alternately, and the circumferential length of the valley folding line and the mountain fold lines on the left and right sides thereof are different on the left and right.
  • the disc-shaped folded structure S with a fold line has a mountain fold line M along an equiangular spiral toward the center from a point obtained by equally dividing the outer periphery by N (N is a positive integer and N ⁇ 4).
  • a valley fold line V is formed along the equiangular spiral from a point where the equally divided outer periphery is further divided into two at an appropriate division ratio.
  • the equiangular spiral in Fig. 95 is wound counterclockwise from the center to the outer periphery, and the angle between the valley fold line V and the right-hand ridge fold line M is ⁇ Let ⁇ be the angle formed by ⁇ >) 3.
  • FIG. 96 is a view in which the fan-shaped portion between the adjacent mountain fold lines in FIG. 95 is removed.
  • a conical wall is formed by connecting the outer sides ⁇ of both ends in the circumferential direction in Fig. 96 so as to overlap. This conical wall can also be folded along the mountain fold line ⁇ and the valley fold line V. This conical wall is also folded while its outer peripheral portion is shifted downward in the axial direction.
  • the former considers not only the creation of high-strength materials for aerospace, but also the realization of reuse of waste paper, etc.
  • FIG. 97 is an explanatory view of the folding condition of the sheet-like member
  • FIG. 97A is an expanded view before being folded
  • FIG. 97B is a view showing a state of being folded along a folding line of FIG. 97A. .
  • ⁇ ⁇ is folded in a valley, the coordinate axes are determined as shown in Figure 97 9, and the line segment OA is taken on the X axis.
  • the coordinates of points B, C, and D are (one cos j3, sinj3, O ), (X, y, ⁇ ), ( ⁇ cos, sin ⁇ , ⁇ ).
  • equation (58) is a condition for folding a circular plane into two, as a folding condition, here, equation (57) is adopt.
  • a typical example is a duouble corrugated core (DCC) based on the flat plate folding method (raiura ori).
  • FIG. 98 is an explanatory diagram of a DCC (duouble corrugated core), and is an expanded view of the DCC.
  • FIG. 99 is a diagram showing the vertical folding line group of FIG. 98 as zig / zag.
  • nodes are composed of four fold lines, and the folding conditions are satisfied at all nodes. Therefore, when subjected to surface pressure, these cores are structures that can be pushed and spread on the original plane, and are unstable.
  • Figure 100 is an explanatory view of the newly devised model of the core with a joint.
  • Figure 100A is a developed view
  • Figure 100B is a half-folded view of the developed view of Figure 100A.
  • the top view of the thing, Fig. 100 (is an external view of a three-dimensional view obtained by folding the development of Fig. 10 OA.
  • Fig. 101 is an explanatory diagram of another model of a newly devised core with a joint.
  • Figure 10 1A is a developed view
  • Fig. 10 IB is a plan view of the developed view of Fig. 101A in a half-folded state
  • Fig. 101C is a three-dimensional view of the developed view of Fig. 101A folded down. It is an external view of a thing.
  • the nodes are composed of four or five fold lines.
  • FIG. 102 is an explanatory view of a model that does not satisfy another folding condition of a core having a joint devised by the present inventors.
  • FIG. 102A is a development view
  • FIG. 102B is a view of FIG. 102. It is a principal part enlarged view of A.
  • FIG. 103 is an explanatory view of a core produced by folding the developed view of FIG. 102A
  • FIG. 103A is a perspective view of the folded core
  • FIG. 103B is FIG.
  • FIG. 4 is a perspective view of a core bonded to a lower surface of a core.
  • the folding line shown in FIG. 102A does not satisfy the folding condition, and is considered so that the folding line becomes a square when the plate is made three-dimensional.
  • the vertical fold lines AC, DF, A'C ', D'F' and the diagonal fold lines DB, EC, A'E ', B'F', etc. are 45 degrees. .
  • FIG. 103A a structurally stable core material composed of square fold lines is created. Is done.
  • the core shown in FIG. 103B in which a sheet is bonded to the lower surface of the core can withstand a large compressive force.
  • FIG. 104 is an explanatory view of a model that does not satisfy another folding condition of a core having a joint devised by the present inventors.
  • FIG. 104A is a developed view
  • FIG. 104B is a view of FIG. 104A.
  • the folding line shown in Fig. 104A does not satisfy the folding condition, and is considered so that the folding line becomes a square when the plate is made three-dimensional.
  • vertical folding For lines AD and CB, CD, BE, etc. are at 60 °.
  • the valley fold line C—E is folded, the sections A—B come into contact, and ⁇ CE and ⁇ CE join. Bonding the joints creates a structurally stable core material (Fig. 104A) consisting of square fold lines.
  • the honeycomb core is representative of a lightweight structure.
  • FIG. 105 is an explanatory view of a method for manufacturing a honeycomb core from one plate
  • FIG. 105A is a developed view
  • FIG. 105B is a manufactured from a plate having the developed view of FIG. It is a figure of the eight strength Mukoa.
  • a dotted line is a valley fold line, and a dashed mountain fold line has a cut C (cut portion).
  • the joints A and B on both sides of the valley fold line in Fig. 105A are bonded to every other valley fold line and spread out on both sides, the mesh-shaped honeycomb core shown in Fig. 105B is manufactured. be able to.
  • this manufacturing method there is a characteristic that the honeycomb core has a cylindrical shape.
  • FIG. 101B A 0.2-0.3 mm phosphor copper plate or a steel plate was cut along the fold lines shown in Figs. 101-102, and these were joined up and down with a craft film or joined with hinges.
  • a thin paper to be processed or an aluminum alloy plate ( ⁇ 0.08 mm) is inserted between them, and bending is performed.
  • Fig. 101B to Fig. 102B Products such as those shown in can be instantaneously manufactured.
  • FIG. 106 is a view showing a folding line forming apparatus for manufacturing the core material shown in FIG. 103A.
  • a number of square parts (metal thin plates) P1 and parallelogram parts P2 separated by folding lines are bonded to both sides of the craft film F and folded.
  • a line forming die K is configured.
  • the folding line forming die K has a pair of foldable flexible dies K 1 and K 2 which are symmetrically formed with respect to the central axis L.
  • the flexible molds (folding molds) Kl and K2 are manufactured, and once the fold line is formed as the mountain fold line and the valley fold line, the mountain fold and the valley fold can be easily made from the next time. Become.
  • a paper core and an aluminum core were manufactured using the folding mold described above, using the model shown in Fig. 102, which is considered to be the closest to practical use.
  • the paper core is shown in FIG. 103A.
  • FIG. 107 is an explanatory view of the manufactured aluminum core.
  • FIG. 107A is a perspective view
  • FIG. 107B is a developed view, which has the same shape as the developed view of the paper shown in FIG.
  • the compressive strength of these products is about 0.4 to 0.8 MPa (specific gravity: 80 to 20 KgZm 3 ) for paper products, and about 1 to L. 5 MPa for aluminum products (about lOOK).
  • gZ m 3 (cell size: 10 to 1 lmm, sample size: 50 to 50 mm).
  • FIG. 108 is an explanatory diagram of an application example of the structure with a cylindrical folding line
  • FIG. 108A is a developed view.
  • Fig. 109 is an explanatory view of an application example of a spiral-shaped cylindrical folding line structure
  • Fig. 109A is a development view
  • Fig. 109B is configured based on Fig. 109A.
  • Telescopic inflatable construction It is a figure showing structure. -In view of the above research results, the present invention has the following content (1) as an issue.
  • a new folding line for a structure with folding lines in which the wall-shaped structure is divided into polygonal flat walls by a large number of folding lines, and the folding lines at the boundaries between the divided flat walls can be folded.
  • a novel folding line-equipped structure using the novel folding line, a novel folding method, and a novel folding line forming mold and a folding line forming method.
  • a structure with a folding line according to the first invention is characterized by comprising the following constituent requirements (A 01) to (A 05):
  • (M, V) provided with a fold line, wherein the fold line (M, V) is a plurality of mountain fold lines where the one surface side is a mountain fold when viewed from one surface side of the fold line structure. (M) and the fold line structure having at least one valley fold line,
  • a plurality of nodes which are intersections of the mountain fold line (M) and the valley fold line are arranged at predetermined intervals, and the number of the mountain fold lines (M) and the number of valley fold lines intersecting at one node
  • the plurality of fold lines (M, V) formed so that the difference from
  • a 03 The first mountain fold line (Ml) and the second mountain fold line (M2 ) And the third fold line (M3) is disposed between the first fold line (Ml) and the second fold line (M2) and opposite to the third fold line (M3).
  • the plurality of folding lines ( ⁇ 1 to ⁇ 3, VI),
  • the node is defined as the origin ⁇
  • the X-axis is taken in the direction of the extension of the third folding line ( ⁇ 3)
  • the first folding line ( Ml) or one of the second mountain fold lines (M2) has an angle a with the X axis
  • the other mountain fold line has an angle with the first valley fold line (VI).
  • the structure with a folding line has parts ( ⁇ ; ⁇ 1, ⁇ 2; ⁇ 1 to ⁇ 5) having a shape (a quadrilateral other than a parallelogram) different from the conventional shape, In a small folded state and a large extended state, a structure with a fold line different from the conventional shape can be manufactured.
  • the structure with a folding line according to the first embodiment of the first invention is characterized in that the first invention has the following configuration requirement ( ⁇ 06):
  • the part and the part connection part provided with the fold line are formed by separate members.
  • the part and the part connection part provided with the folding line are formed by different members, for example, It can be made of a rigid thin plate such as a metal plate, and the part connection part can be made of a hinge member. Therefore, a structure with a strong folding line can be provided.
  • the structure with a folding line according to the second embodiment of the first invention is characterized in that the first invention has the following configuration requirement (A07).
  • the structure with the folding line according to the second embodiment of the first invention having the above-described configuration is formed by a one-piece molded product with the folding line, the structure with the folding line is easily manufactured by integral molding. be able to.
  • the fold line can be formed at the same time as molding.However, when the structure with a fold line is a sheet-like member, the fold line may be formed on an integrally formed sheet-like member. It is possible.
  • the structure with a folding line according to the second invention is characterized by having the following constituent requirements (A01) to (A04), (A08).
  • a fold line structure having a linear part connection portion connected to each other and having a linear fold line foldable along the linear part connection portion, wherein the fold line is a fold line.
  • a fold line structure having a plurality of mountain fold lines (M) in which the one surface side forms a mountain fold and one or more valley fold lines (V) which form a valley fold when viewed from one surface side of the line structure;
  • a plurality of nodes which are intersections of the mountain fold line and the valley fold line are arranged at predetermined intervals.
  • the plurality of fold lines (M, V) formed so that the difference between the number of mountain fold lines and the number of valley fold lines intersecting at one node is 2;
  • the plurality of fold lines ( ⁇ 1 to ⁇ 3, VI),
  • the folded state is small and the shape is small.
  • the extended state of the large external shape it is possible to manufacture a structure with a folding line having a shape different from the conventional shape.
  • a structure with a folding line according to a third invention is characterized by comprising the following constituent requirements (A01) to (A05), (A09),
  • a plurality of polygonal parts (P; P1, P2; P1 to P5) and outer sides of the respective parts (P; P1, P2; P1 to P5) are mutually connected.
  • a fold line having a linear part connection portion to be connected and a linear fold line foldable along the linear part connection portion, wherein the fold line is a fold line.
  • a 02 A plurality of nodes, which are intersections of the mountain fold line and the valley fold line, are arranged at predetermined intervals, and the difference between the number of mountain fold lines and the number of valley fold lines intersecting at one node is two.
  • the plurality of fold lines (M1 to M3, VI) formed so that
  • A03 a first mountain fold line (Ml), a second mountain fold line (M2) and a third mountain fold line (M3) extending radially from one node, and the first mountain fold line (Ml) and the second mountain fold line (Ml) A one-node four-fold line formed by a first valley fold line (VI) arranged between the mountain fold lines (M2) and opposite to the third mountain fold line (M3); Multiple fold lines,
  • the plurality of folding lines ( ⁇ 1 to ⁇ 3, VI),
  • the structure with a folding line according to the third aspect of the present invention having the above configuration has quadrangular pads (P; P1, P2; P1 to P5) other than the parallelogram. Also, in the extended state of the large external shape, it is possible to manufacture a flat plate-like folded line structure having a shape different from that of the conventional flat plate-shaped folded line structure.
  • the structure with a folding line according to the fourth invention is characterized by comprising the following constituent requirements (A01) to (A04), (A010) and (A011).
  • the fold line structure having at least one valley fold line (V);
  • a plurality of nodes which are intersections of the mountain fold line and the valley fold line, are arranged at predetermined intervals, and the difference between the number of mountain fold lines and the number of valley fold lines intersecting at one node is 2.
  • A03 a first mountain fold line (Ml), a second mountain fold line (M2) and a third mountain fold line (M3) extending radially from one node, and the first mountain fold line (Ml) and the second mountain fold line (Ml) A one-node four-fold line formed by a first valley fold line (VI) arranged between the mountain fold lines (M2) and opposite to the third mountain fold line (M3); Multiple fold lines (Ml to M3, VI),
  • the plurality of folding lines ( ⁇ 1 to ⁇ 3, VI),
  • a cylindrical wall or conical wall is formed when the fold line is extended, and a cylindrical wall or cone having an uneven outer shape is formed when the fold line is bent in accordance with the mountain fold line and the valley fold line of the fold line.
  • the structure with the folding line of the fourth invention having the above configuration has a plurality of folding lines ( ⁇ 1 to ⁇ 3, VI) continuous in a plane perpendicular to the axis of the cylindrical wall or the conical wall, so that the outer shape is In the small folded state and large extended state, the structure differs from the conventional structure with fold lines.
  • a cylindrical or conical folding line-shaped structure having a different shape can be manufactured.
  • the structure with a folding line according to the fifth invention is characterized by comprising the following constituent requirements (A01) to (A04), (A012), and (A013).
  • a plurality of polygonal parts (P; P1, P2; P1 to P5) and outer sides of the respective parts (P; P1, P2; P1 to P5) are mutually connected.
  • a plurality of nodes which are intersections of the mountain fold line and the valley fold line, are arranged at predetermined intervals, and the difference between the number of mountain fold lines and the number of valley fold lines intersecting at one node is 2.
  • the plurality of fold lines ( ⁇ 1 to ⁇ 3, VI),
  • (A013) The structure with folding lines, wherein the parts (P; P1, P2; P1 to P5) have a polygonal shape of a quadrangle or more.
  • the structure with a folding line according to the fifth invention having the above-described configuration has polygonal parts (P; P1, P2; P1 to P5) of four or more quadrilaterals, the folded shape and the outer shape are small.
  • a cylindrical or conical fold line structure having a different shape from the conventional fold line structure can be manufactured.
  • the structure with a folding line according to the sixth invention is characterized by having the following constituent requirements (B01) to (B04).
  • a plurality of polygonal parts (P; P1, P2; P1 to P5) and the outer sides of the respective parts (P; P1, P2; P1 to P5) are mutually connected.
  • a plurality of nodes which are intersections of the mountain fold line and the valley fold line, are arranged at predetermined intervals, and the difference between the number of mountain fold lines and the number of valley fold lines intersecting at one node is 2.
  • (B03) a first mountain fold line (Ml), a second mountain fold line (M2), a third mountain fold line (M3), and a fourth mountain fold line (M4) extending radially from one node;
  • a third fold line formed between the first fold line (Ml) and the second fold line (M2) and opposite to the third fold line (M3) and the fourth fold line (M4).
  • the first fold line (M1) and the second fold line (M2) are located between the first valley fold line (VI) and the third fold line (M3) and the fourth fold line (M4).
  • the node is defined as the origin ⁇
  • the X-axis is taken in the direction of the extension of the first valley folding line (VI)
  • the first mountain folding line ( Ml) and the second mountain fold line (M2) form angles ⁇ and; 3 with the first valley fold line (VI), respectively, and the third mountain fold line (M3) and the fourth mountain fold line (M3)
  • the parts ( ⁇ ⁇ ; ⁇ 1, ⁇ 2; ⁇ 1 to ⁇ 5) having shapes different from those of the related art can be used by the plurality of folding lines ( ⁇ 1 to ⁇ 4, VI, V2) formed as described above, and Each part ( ⁇ ; ⁇ 1, ⁇ 2; ⁇ 1 to ⁇ 5) can be folded. For this reason, the structure with a folding line can be changed from a folded
  • the structure with a fold line according to the first embodiment of the sixth invention is characterized in that, in the sixth invention, the following configuration requirement ( ⁇ 05) is provided:
  • a flat plate-like structure with a folding line having a shape different from the conventional one is provided in a folded state having a small outer shape and an extended state having a large outer shape. can do.
  • the structure with a folding line according to the second embodiment of the sixth invention is characterized in that, in the sixth invention, the following configuration requirement (B06) is provided:
  • the extensible structure with a fold line is
  • a cylindrical or conical folding line structure having a shape different from the conventional shape is provided. Things can be provided.
  • the structure with a folding line according to the seventh invention is characterized by having the following constituent requirements (C01) to (C04).
  • a plurality of polygonal parts (P; Pl, P2; P1 to P5) and outer sides of the respective parts (P; P1, P2; P1 to P5) are mutually connected.
  • a plurality of nodes which are intersections of the mountain fold line and the valley fold line, are arranged at predetermined intervals, and the difference between the number of mountain fold lines and the number of valley fold lines intersecting at one node is 2.
  • the plurality of fold lines (M1 to M4, VI, V2) formed as described above, (C03) Forming a cylindrical wall in a state where the fold line is extended, and forming a cylindrical wall having irregularities whose outer shape is reduced in a state where the fold line is bent according to a mountain fold line and a valley fold line of the fold line,
  • the structure with a fold line which forms a thick cylindrical wall having irregularities whose outer shape is further reduced in a state of being completely folded along the mountain fold line and the valley fold line,
  • the structure with a folding line according to the seventh invention having the above configuration has a plurality of folding lines (M1 to M4, VI, V2) that are continuous in a plane perpendicular to the axis of the cylindrical wall.
  • a cylindrical folded line structure having a shape different from that of the conventional folded line structure can be manufactured.
  • the structure with a folding line according to the eighth invention is characterized by comprising the following constituent requirements (C01) to (C03), (C05):
  • a plurality of nodes which are intersections of the mountain fold line and the valley fold line, are arranged at predetermined intervals, and the difference between the number of mountain fold lines and the number of valley fold lines intersecting at one node is 2.
  • the part (P; P1, P2; P1 to P5) is a polygon with a quadrangle or more The structure with a folding line having a shape.
  • the parts (P; P1, P2; P1 to P5) have a polygonal shape of a quadrangle or more, so that the outer shape is small.
  • a cylindrical fold line structure having a conventional triangular part (P; P1, P2; P1 to P'5) is different from a cylindrical structure with a different shape.
  • a folded line structure can be manufactured.
  • the foldable structure according to the ninth invention is characterized by having the following constituent requirements (C01) to (C03), (C06), and (C07).
  • (C01) A plurality of polygons (P; P1, P2; P1 to P5) and outer sides of each of the parts (P; P1, P2; P1 to P5) And a linear part connecting portion that connects the linear parts to each other, and provided with a linear folding line that can be folded along the linear part connecting portion.
  • the structure with a fold line having a plurality of mountain fold lines (M) that form a mountain fold and one or more valley fold lines (V) that form a valley fold when viewed from one surface side of the structure with a fold line ,
  • a plurality of nodes which are intersections of the mountain fold line and the valley fold line, are arranged at predetermined intervals, and the difference between the number of mountain fold lines and the number of valley fold lines intersecting at one node is 2.
  • P1 to P5 are the above-mentioned folded line structure, which is only an obtuse triangle formed by dividing a parallelogram into two parts by a diagonal line;
  • the folding lines are all formed along a spiral, and the parts (P; P1, P2; P1 to P5) are parallelograms.
  • the obtuse angle triangular part having one base angle of 35 ° or more (P; P 1, P 2 P1 to P5), with a conventional cylindrical oblique triangular part having a base angle of about 30 ° (P; P1, P2; P1 to P5) with a cylindrical folding line
  • a cylindrical fold line structure having a different shape from the structure can be manufactured.
  • the tenth aspect of the present invention is characterized in that the folding line structure has the following constituent requirements (D01) to (D03).
  • a plurality of polygonal parts (P; P1, P2; P1 to P5) and the outer sides of the respective parts (P; P1, P2; P1 to P5) are mutually connected.
  • a plurality of nodes which are intersections of the mountain fold line and the valley fold line, are arranged at a predetermined interval, and the difference between the number of mountain fold lines and the number of valley fold lines intersecting at one node is 2
  • the plurality of fold lines (M, V) formed so that
  • the structure with a folding line according to a tenth aspect of the present invention having the above-described structure, forms a conical wall in a state where the folding line is extended, and has an outer shape in a state where the folding line is bent according to a mountain fold line and a valley fold line of the fold line.
  • Forming a conical wall having reduced irregularities, wherein the mountain fold line and the valley fold are formed.
  • a thick cone wall with a concave cT whose outer shape is further reduced is formed.
  • the tenth aspect of the present invention can provide a foldable conical foldable structure which is not conventionally known.
  • the plurality of fold lines ( ⁇ 1 to ⁇ 3, VI).
  • the structure with a folding line according to the second embodiment of the tenth invention is characterized in that, in the tenth invention, the following structural requirements (D06) and (D07) are provided.
  • (D06) a first mountain fold line (Ml), a second mountain fold line (M2), a third mountain fold line (M3) and a fourth mountain fold line (M4), and the first mountain fold line (Ml) and A first valley fold line (VI) formed between the second fold line (M2) and opposite to the third fold line (M3) and the fourth fold line (M4); Third fold line (M3) and fourth fold line (M4) and a second valley fold line (V2) arranged on the opposite side to the first fold line (Ml) and the second fold line (M2).
  • the tenth embodiment of the present invention is characterized in that the structure with a folding line according to the tenth embodiment has the following constitutional requirements (D08) and (D09).
  • the first mountain fold line (Ml), the second mountain fold line (M2), the third mountain fold line (M3) and the fourth mountain fold line (M4), and the first mountain fold line (Ml) The first valley fold line (VI) formed between the second fold line (M2) and the second fold fold line (M2) and the third fold line (M3)
  • a second valley fold line (V2), and the fourth fold fold line (M4) is between the first fold fold line (Ml) and the third fold fold line (M3), and
  • the node is the origin O
  • the X axis is taken in the direction of the extension of the fourth fold line (M4)
  • the first fold line (Ml) and the second fold line (M2) are
  • the angles between the valley fold line (VI) and the valley fold line (VI) are 01 and 02, respectively.
  • the angle between the mountain fold line (M3) and the second valley fold line (V2) is 03 and 04
  • the angle between the X axis and the first mountain fold line (Ml) is, and the X axis and the
  • the angle formed with the three-fold fold line ( ⁇ 3) is 3 *
  • the structure with a folding line according to the eleventh invention is characterized by having the following constituent requirements (E01) to ( ⁇ 04).
  • (E01) The linear shape having a plurality of polygonal parts ( ⁇ ; ⁇ 1, ⁇ 2; ⁇ 1 to ⁇ 5), and linear part connecting portions connecting outer sides of the respective parts to each other.
  • the structure with folding lines ( ⁇ ; ⁇ ; C ;, ⁇ ⁇ ⁇ ) having a plurality of mountain fold lines ( ⁇ ) whose one surface side is a mountain fold and one or more valley fold lines (V) of a valley fold as viewed from above
  • a plurality of nodes that are intersections of the mountain fold line ( ⁇ ) and the valley fold line are arranged at predetermined intervals, and the number of mountain fold lines ( ⁇ ) and the number of valley fold lines intersecting at one node
  • the plurality of fold lines ( ⁇ , V) formed so that the difference between
  • the shape When the fold line is extended, the shape is a circular sheet, and when the fold line is bent according to the mountain fold line ( ⁇ ) and the valley fold line, the shape is a disc-shaped shape having a reduced outer shape.
  • the structure with a fold line which has a shape having a thickness with irregularities whose outer shape is further reduced when the fold line is completely folded along the mountain fold line ( ⁇ ) and the valley fold line.
  • the structure with a folding line according to the eleventh aspect of the present invention having the above-described structure, wherein a plurality of nodes, which are intersections of the mountain fold line (M) and the valley fold line, are arranged at predetermined intervals, and intersect at one node. Since there are a plurality of fold lines (M, V) formed so that the difference between the number of lines (M) and the number of valley fold lines is 2, the outer shape is smaller and the outer shape is larger. In the extended state, it is possible to provide a foldable circular sheet-like structure with a folding line, which is not conventionally known.
  • the mold for forming a folding line according to the 12th invention is characterized by having the following constitutional requirements (F01) and (F02):
  • a linear fold line that has a plurality of polygonal parts and a linear part connection part that connects outer sides of the parts to each other, and is foldable along the linear part connection part.
  • a pair of folding line forming members provided with a plurality of mountain fold lines (M) and a valley fold where the one surface side forms a mountain fold when viewed from one surface side of the folding line forming mold.
  • a plurality of nodes which are intersections of the mountain fold line (M) and the valley fold line, are arranged at predetermined intervals and intersect at one node.
  • (F02) A folded linear molding connecting member that movably supports or connects the pair of folding line forming members between an overlapped state and an open state.
  • the pair of folding line forming members are simultaneously folded in a state where the sheet-like member is sandwiched between the pair of folding line forming members. It is possible to form the mountain fold line (M) and the valley fold line required for the G-shaped member.
  • a folding line forming method includes the following constituent features (G01) and (G02): (G OD A linear fold line that has a plurality of polygonal parts and a linear part connection part connecting the outer sides of the parts to each other, and is foldable along the linear part connection part.
  • a plurality of nodes which are intersections of the mountain fold line (M) and the valley fold line are arranged at predetermined intervals and intersect at one node.
  • the sheet in the sheet-like member holding step, the sheet can be folded between the pair of folding line forming members having the plurality of folding lines (M, V). An integrated sheet-like member is sandwiched.
  • the pair of folding line forming members sandwiching the sheet-like member are simultaneously folded along the mountain fold line (M) and the valley fold line, and the sheet-like member is folded. To form a fold line.
  • FIG. 1 is a fold line explanatory diagram showing a typical example of a fold line, which is a straight line to be folded of origami or a folding structure, and a node, which is an intersection of a plurality of fold lines.
  • FIG 2 is an illustration of the folding structure called “Miuraorai”, which was designed by Miura for deployment of space structures.
  • FIG. 3 is a diagram in which the horizontal fold lines shown in FIG. 2 are zigzag at equal angles.
  • Figure 4 shows a part (sector) of a disk formed by six sector elements with an apex angle of 2 ⁇ . It is a figure showing an example of a fold line which can be folded. '
  • Fig. 5 is a view of the horizontal fold lines shown in Fig. 2 taken at an arbitrary inclination.
  • the fold lines (7) to (9) are equal at all the nodes with respect to the fold lines (1) to (6). It is a diagram drawn with angle and symmetry.
  • FIG. 6 is a diagram showing an example of a folding line taking into account the periodicity of the folding method of FIG.
  • FIG. 7 is a diagram illustrating a one-node four-fold line method, a one-node six-fold line method, and illustrates an example of a folding method considered by the present inventors.
  • FIG. 8 is a diagram showing a folding condition of one node where six folding lines of the nodes shown in FIG. 7 intersect and six folding lines (one node and six folding lines) around the node.
  • Fig. 9 is a diagram for explaining the condition where both ends of the band plate are joined to form a cylinder when the band plate is folded along the fold line
  • Fig. 9A shows the band plate and the fold line and the fold line
  • FIG. 9B is a diagram showing a change in the orientation of the reference axis when folded along the fold line shown in FIG. 9A.
  • FIG. 10 is an explanatory view of an example in which the above expression (5) is satisfied and the folding direction is the same as the folding direction (either the mountain fold or the valley fold).
  • Figure showing the folding lines (1), (2), (3), and (4) of the strip in the folded state FIG. 10B shows the state in the middle of folding
  • FIG. 10C shows the state in the folded state
  • FIG. 11 is an explanatory view of an example in which the expression (5) is satisfied and the folding direction is a regular hexagon along a folding line in the same folding direction (either a mountain fold or a valley fold). Shows the folding lines (1), (2), (3), (4), (5), and (6) of the strip in the unfolded state
  • FIG. 11B shows the state of being folded
  • FIG. 11C is a view showing a folded state.
  • FIG. 12 is an explanatory view of an example in which the above formula (5) is satisfied and the folding direction is folded in a regular octagonal shape by a folding line having the same folding direction.
  • FIG. 12A is a folding line of the expanded strip (1). , (2),..., (8)
  • FIG. 12B is a diagram showing a state of being folded
  • FIG. 12C is a diagram showing a state of being folded.
  • FIG. 13 shows that the above formula (5) is satisfied and the folding direction is alternately reversed.
  • FIG. 13A is a diagram illustrating folding lines (1) to (12) of a strip in an unfolded state
  • FIG. FIG. 13B to FIG. 13F are views showing a state of being folded
  • FIG. 13G is a view showing a state of being folded.
  • Fig. 16A is an exploded view of the cylinder produced by the above method.
  • Fig. 16A is a developed view
  • Fig. 16 ⁇ is a half-folded state of the folded cylinder produced when the both ends of the developed view of Fig. 16 ⁇ are joined together.
  • FIG. 16C is a perspective view of the same as FIG. 16B, but viewed from a different direction.
  • Fig. 17 is a diagram in which points A and B in Fig. 14 are matched to remove the mountain fold from the horizontal fold line.
  • a diamond pattern consisting of an isosceles triangle with base angle ext / 6 in the horizontal direction (( It is a development view of 1) to (3)).
  • Figure 18 is a developed view of a deformed diamond pattern composed of scalene triangular elements.
  • FIG. 19 is an explanatory view of a pseudo-cylindrical body having a development view that is symmetrical and foldable one by one with respect to a horizontal folding line
  • FIG. 19A is a development view
  • FIG. 19C is a view showing a half-folded state of a folding cylinder manufactured when both ends of the exploded view of FIG. 9 are joined
  • FIG. 19C is a view of the same thing as FIG.
  • FIG. 20 is a view showing an example of a developed view of the folding constituted only by the folding line similar to the point B in FIG.
  • FIG. 21 is a development view of a foldable cylindrical wall having a plurality of polygonal parts (flat walls) formed by folding lines.
  • Figure 22 shows a series of triangular split plates studied by Guest et al.
  • the inventor of the present invention has shown in a development view a cylindrical structure in which the spiral (1) rises one step each time the connecting portion turns into a spiral and the circuit goes around once.
  • FIG. 24 is an explanatory view of a pseudo-cylindrical body having a development view equivalent to that of FIG. 23, FIG. 24A is a development view, and FIG. 243 is a drawing of both ends of the development views of FIG. 23 and FIG. 24A.
  • FIG. 4 is a diagram showing a half-folded state of a folding cylinder manufactured when joined.
  • FIG. 25 is an explanatory view of a pseudo-cylindrical body k having a developed view obtained by inverting FIG. 14 from above.
  • FIG. 25A is a developed view
  • FIG. 25B is both ends of the developed view of FIG. 25A.
  • FIG. 6 is a view showing a half-folded state of a folding cylinder manufactured when the two are joined.
  • FIG. 26 is an explanatory view of a pseudo-cylindrical body having a development view in which FIG. 15 is inclined by ⁇ / 6.
  • FIG. 26 2 is a development view, and FIG. 26 2 is both ends of the development view of FIG. 26 ⁇ .
  • FIG. 6 is a view showing a half-folded state of a folding cylinder manufactured when the two are joined.
  • FIG. 27 is a developed view in which FIG. 16 is inclined by ⁇ 6.
  • FIG. 28 shows the spiral type shown in FIG. 19, which is obtained by cutting along a straight line connecting points A and D in the figure.
  • the angle ( ⁇ 0.193 ⁇ ) shown in Fig. 28 indicates the angle between this cutting line and the horizontal line. In this case, the angle of the valley fold line is limited because the shape of the triangular element is given. Will be done.
  • FIG. 29 is an explanatory view of a spiral folding cylinder having a folding line that is a generalized version of FIG. 24.
  • FIG. 29 2 is an expanded view
  • FIG. 29 9 is an expanded view of FIG. 29 ⁇ . It is a figure which shows the half-folded state of the folding cylinder manufactured when both ends are joined.
  • FIG. 30 is a developed view in a case where the value of ⁇ is changed for each one of the six developed steps of FIG. 29 in three steps.
  • FIG. 31 is a development view of a repetitive spiral type obtained by reversing the spiral mountain fold line and the valley fold line of FIG. 29 step by step. This development can also be obtained by matching points ⁇ and ⁇ in Fig. 16.
  • FIG. 32 is a view showing a portion cut by two parallel straight lines AB ′, C ′ D in the developed view of the cylindrical body shown in FIG. 21, wherein A and B ′ and D and C ′ are By connecting the left and right edges of Fig. 32 so that they overlap, a foldable cylinder is obtained.
  • FIG. 32 is a view showing a portion cut by two parallel straight lines AB ′, C ′ D in the developed view of the cylindrical body shown in FIG. 21, wherein A and B ′ and D and C ′ are By connecting the left and right edges of Fig. 32 so that they overlap, a foldable cylinder is obtained.
  • Fig. 33 is an exploded view of a collapsible cylinder having arbitrary shaped quadrangular elements (parts).
  • FIG. 34 is an explanatory diagram of a method for maintaining continuity when both ends of the developed view are joined.
  • Figure 35 shows the angular relationship between the fold lines satisfying the folding condition when the valley fold line is symmetrically inserted in the case of one node and six fold lines.
  • FIG. 14 is an explanatory diagram of a folding condition in the case.
  • FIG. 36 shows the angle relationship between the folding lines satisfying the folding condition when the valley fold lines (4) and (6) are inserted alternately between the mountain fold lines (2), (3) and (5).
  • FIG. 57 is an explanatory diagram of folding conditions in the case of FIGS. 56B and 57 described later.
  • Figure 37 shows the case of one node and four fold lines. The folding condition is obtained by the same procedure as above.
  • FIG. 38 is an enlarged view of a main part of the developed view in the case where the developed view of a cone whose main fold line is parallel to the outer side of the developed view is composed of N isosceles triangles having an apex angle of 2®.
  • Fig. 39 is an explanatory diagram of a pseudo-cone wall having a development diagram of a pseudo-cone wall with a fold line obtained by using the values obtained by equation (14).
  • Fig. 39A is a development diagram
  • Fig. 39B is a development diagram.
  • FIG. 39 is a perspective view of a half-folded state of the conical wall with a fold line having the developed view of FIG. 39A.
  • FIG. 40 is an enlarged view of a main part of a development view of a conical wall with a fold line when divided into inequilateral triangular elements by a fold line.
  • FIG. 42 is an exploded view of a conical wall with a folding line when it is divided into a trapezoidal triangular element by a folding line having an angle ⁇ at the upper right and an angle ⁇ at the upper left at the point F in FIG. , a, and the values are the same as those in FIG.
  • FIG. 43 is an enlarged view of a main part of a development view of a conical wall with a fold line in the case of dividing by a trapezoidal element instead of dividing by the isosceles triangular element of FIG. 38.
  • Fig. 45 shows the development of a conical wall with a folding line consisting of N isosceles triangular elements (vertical angle 2 ⁇ ), with only one step drawn out as a curved strip.
  • FIG. 46 is a development view of a conical wall with a folding line having a simple, spiral development view composed of three isosceles triangular elements.
  • FIG. 47 is a top view when the developed view of FIG. 46 is folded.
  • FIG. 48 is an explanatory diagram of a practical model obtained by deforming the model described in FIGS. 45 and 46.
  • FIG. 48A is an explanatory diagram of the deforming method
  • FIG. 48B is a diagram of FIG. 48A.
  • FIG. 49 is a view showing a state in which the figure AB GHF E formed by the folding line of FIG. 48A is sequentially folded at folding lines AF and BF, and FIG. Fig. 49B shows the state of rectangles ABFE and BGHF (light black portion; back side). Fig. 49B shows the state shown in Fig. 49A, and the mountain was further folded at B'F (original line segment BF). It is a figure showing a state after.
  • FIG. 50 is a view showing a portion corresponding to the first-stage band plate shown in FIG. 48A and a portion corresponding to the second-stage band plate.
  • Is an explanatory view of a pseudo-cone wall having a developed view (2 ⁇ ⁇ 8) of FIG. 51, wherein FIG. 51 1 is a developed view, and FIG. 51B is a half view of a folded conical wall having the developed view of FIG. It is a perspective view in the state where it folded.
  • FIG. 53 is a developed view when the number of steps in the developed view of FIG. 51 is reduced and the value of * is increased for each step.
  • FIG. 54 is a developed view showing the same conical wall as the folded conical wall having the developed view of FIG. 53.
  • Fig. 55 shows the second valley fold line in Fig. 50 in the opposite direction to that of the first tier at an angle FIG.
  • FIG. 56 is an explanatory view of a pseudo-cone having a developed view in which FIG. 51 is made into a repetitive spiral type.
  • FIG. 56A is a developed view
  • FIG. 56B is a folding line having the developed view of FIG. It is a perspective view in the state where the attached conical wall was folded in half.
  • FIG. 58 is an explanatory view of an exploded view of a foldable conical wall having a fold line along a conformal spiral
  • FIG. 58 8 is an overall explanatory view
  • FIG. 58B is FIG. FIG.
  • FIG. 59 is an explanatory view of a development view of a conical wall with a fold line when the spiral of FIG. 58 is reversed.
  • FIG. 60 is an explanatory diagram of how to draw the development view of FIG. 44 described above.
  • FIG. 61 is an explanatory view of a pseudo-cone having an exploded view in which FIG. 44 is made into an equiangular spiral shape.
  • FIG. 61A is an exploded view
  • FIG. 6 IB is a folded view having the exploded view of FIG. 61A. It is a perspective view of the state where the conical wall with a line was folded in half.
  • FIG. 62 is a developed view of a folding conical wall with a folding line in which the circumferential spiral of FIG. 51A is raised one step at the right end.
  • FIG. 63 is an explanatory diagram of the simplest folding method for origami.
  • FIG. 64 is an explanatory view of a development view of the disc-shaped folding structure with a folding line
  • FIG. 64A is an enlarged view of a main part for explaining folding conditions
  • FIG. 64B is an overall view.
  • FIG. 65 is an enlarged view of a development view of the disc-shaped folding structure with a folding line shown in FIG. 64B.
  • FIG. 66 is a perspective view of the disk-shaped folding structure with a folding line having the development view of FIG. 65 in a half-folded state and a small amount of folding.
  • FIG. 67 is a perspective view of the disk-shaped folding structure with a folding line having the developed view of FIG. 65 in a half-folded state and a large amount of folding.
  • FIG. 68 is a perspective view showing a state in which the disk-shaped folding structure with a folding line having the developed view of FIG. 65 is completely folded.
  • FIG. 69 the swing angle of the folding line of Zig / Zag in the radial direction is increased as it approaches the center.
  • FIG. 69A is an enlarged view of a main part for explaining folding conditions
  • FIG. 69B is an overall view of the disk-shaped folding structure with folding lines.
  • FIG. 70 shows the development of a disk-shaped folding structure with a fold line when the swing angle of the fold line of ZigZZag in the radial direction is increased toward the center and the fold line in the circumferential direction is also ZigZZag.
  • FIG. 70A is an enlarged view of a main part for explaining folding conditions
  • FIG. 70B is an overall view.
  • FIG. 71 is an explanatory view of a conventionally known winding method in which the intersection of the spiral folding lines is on the Archimedes spiral.
  • FIG. 72 is a diagram showing a new folding line considered by the present inventor.
  • FIG. 72A is a diagram in FIG. 71 in which the radial folding line (1) has one bending point.
  • Fig. 72B is a diagram in which the outside of the bending point in Fig. 72A is replaced by a method of folding in the radial direction.
  • FIG. 73 is an explanatory diagram of fold lines when a circular film or a partial circular film (sector-shaped film) or the like is folded in the radial and circumferential directions along a conformal spiral.
  • FIG. 74 is an explanatory diagram of fold lines when a circular film or a partial circular film (sector-shaped film) is folded in a radial direction and a circumferential direction along a conformal spiral.
  • FIG. 75 is an enlarged view of a main part of FIG. 74.
  • FIG. 76 is an explanatory view of folding conditions when forming a fold line for folding a circular film or a partial circular film (sector-shaped film) in a radial direction and a circumferential direction along a conformal spiral.
  • FIG. 77 is an explanatory diagram of folding conditions when the main folding line is bent at an equal angle to radiation.
  • FIG. 82 is a perspective view of the disc-shaped folding structure with a folding line having the development view of FIG. 81 in a half-folded state and a small amount of folding.
  • FIG. 83 is a perspective view of the disc-shaped folding structure with a folding line having the developed view of FIG. 81, in a half-folded state and a large amount of folding.
  • FIG. 84 is a perspective view showing a state in which the disk-shaped folding structure with a folding line having the developed view of FIG. 81 is completely folded.
  • FIG. 89 is a perspective view of the disc-shaped folding structure with a folding line having the development view of FIG. 88, in a half-folded state and a small amount of folding.
  • FIG. 90 is a perspective view of the disc-shaped folding structure with a folding line having the developed view of FIG. 88, in a half-folded state and a state in which the amount of folding is large.
  • FIG. 91 is a perspective view showing a state in which the disk-shaped folding structure with a folding line having the developed view of FIG. 88 is completely folded.
  • the developed view in Figure 93 is folded, it is wrapped around the center symmetrically up and down. The one shown in FIG. 93 suggests that these fold lines are replaced by elastic deformation during winding because the sub-fold lines are fine.
  • FIG. 94 is a development view of a circular thin plate in which mountain fold lines and valley fold lines are alternately provided.
  • Fig. 95 shows a disk-shaped folding structure with fold lines in which mountain fold lines and valley fold lines are provided alternately and the circumferential lengths of the valley fold line and the left and right mountain fold lines are different on the left and right.
  • FIG. 96 is a view in which the fan-shaped portion between the adjacent mountain fold lines in FIG. 95 is removed.
  • FIG. 97 is an explanatory view of the folding condition of the sheet-like member.
  • FIG. 97 ⁇ is an expanded view before folding, and
  • FIG. 97 ⁇ is a view showing a state where the sheet-like member is folded along the folding line of FIG. 97 ⁇ .
  • FIG. 98 is an explanatory diagram of DCC (duouble corrugated core), FIG. 98A is a developed view of DCC, and FIG. 98B is an external view of the half-folded state.
  • DCC duouble corrugated core
  • FIG. 98A is a developed view of DCC
  • FIG. 98B is an external view of the half-folded state.
  • FIG. 99 is an explanatory view of zig / zag of the vertical fold line group of FIG. 98, FIG. 99A is an expanded view thereof, and FIG. 99B is an external view of the half-folded state.
  • Figure 100 is an explanatory diagram of the newly devised model of the core with a joint.
  • Figure 100A is a developed view
  • Figure 100B is a plan view of the developed view of Figure 100A in a half-folded state.
  • Figure 100C is an external view of a three-dimensional view obtained by folding the developed view of Figure OA
  • Figure 101 is an explanatory diagram of another model of a newly devised core with a joint
  • Figure 101A is a development view
  • Figure 101 is a plan view of the development view of Figure 101A in a half-folded state
  • Figure 101C is a view of the development view of Figure 101A folded. It is an external view of a three-dimensional structure.
  • FIG. 102 shows another core devised by the present inventor that satisfies another folding condition of a core having a joint.
  • FIG. 102A is a development view
  • FIG. 102B is an enlarged view of a main part of FIG. 102A.
  • FIG. 103 is an explanatory view of a core produced by folding the developed view of FIG. 102A
  • FIG. 103A is a perspective view of the folded core
  • FIG. 103B is FIG.
  • FIG. 4 is a perspective view of a core bonded to a lower surface of a core.
  • FIG. 104 is an explanatory view of a model that does not satisfy another folding condition of a core having a joint devised by the present inventors.
  • FIG. 104A is a developed view
  • FIG. 104B is a view of FIG. 104A.
  • FIG. 105 is an explanatory view of a method for manufacturing a honeycomb core from one plate
  • FIG. 105A is a developed view
  • FIG. 105B is a manufactured from a plate having the developed view of FIG. It is a figure of the honeycomb core that was done.
  • FIG. 106 is a view showing a folding mold for producing the core material shown in FIG. 103A.
  • FIG. 107 is an explanatory view of the manufactured aluminum core.
  • FIG. 107A is a perspective view
  • FIG. 107B is a developed view, which has the same shape as the developed view of the paper shown in FIG.
  • FIG. 108 is an explanatory diagram of an application example of the structure with a cylindrical folding line
  • FIG. 108A is a developed view.
  • Fig. 109 is an explanatory view of an application example of a spiral-shaped cylindrical folding line structure
  • Fig. 109A is a development view
  • Fig. 109B is configured based on Fig. 109A. It is a figure which shows a stretchable inflatable structure.
  • FIG. 110 is a plan view of a folding line forming die according to Embodiment 1 of the present invention.
  • FIG. 11 is a perspective view of a sheet-like member on which a fold line is formed using the fold line forming die of FIG.
  • FIG. 11 is an explanatory view of a folding line forming die according to a second embodiment of the present invention.
  • One of a pair of flexible molds for sandwiching both sides of a sheet-like member forming a folding line is provided. It is a perspective view of a type
  • FIG. 13 is a plan view of a folding line forming die according to Embodiment 3 of the present invention.
  • FIG. 114 is an explanatory view of the use state of the folding line forming die of FIG. 113
  • FIG. FIG. 11B is a view showing a state in which the folding line forming mold is folded in two
  • FIG. 11B is a view showing a state in which the folding line forming mold shown in FIG. 11A is folded.
  • FIG. 115 is an explanatory view of a sheet-like member in which a folding line is formed using the folding line forming mold shown in FIGS. 113 and 114, and FIG. 115A is a sheet in a half-folded state.
  • FIG. 115B is a plan view of the state member in a completely folded state.
  • FIG. 116 is an explanatory view of the folded sheet-like member shown in FIG. 115B
  • FIG. 116A is a perspective view
  • FIG. 116B is the folded sheet-like member shown in FIG.
  • FIG. 3 is a perspective view of a flat sheet-shaped member adhered to one surface (lower surface) of the member.
  • FIG. 117 is a side view of a socket as a structure with a folding line according to Example 4 of the present invention.
  • FIG. 118 is a side sectional view of the pot pot of the fourth embodiment.
  • FIG. 119 is an explanatory view of the state in which the bottle of FIG. 117 is compressed in the axial direction (semi-folded state), FIG. 119A is a view showing the half-folded state, and FIG. FIG. 4 is a side view of a state in which the opening is covered with the opening almost completely folded.
  • FIG. 120 is an explanatory view of the method of manufacturing the pot potting A, showing a state in which a mold (a mold having a folding line forming surface) is opened.
  • FIG. 12 1 is an explanatory view of a method for manufacturing the bottle A, showing a state in which the mold is closed and a tubular or bag-shaped raw tube (parison) is stretched in the mold. .
  • FIG. 122 is a view showing a state where compressed air is blown into the inside of the raw tube of FIG.
  • FIG. 123 is an explanatory view of a pet bottle as a fifth embodiment of the folded line structure of the present invention, showing a folded line structure (pet bottle) formed along a spiral.
  • FIG. 124 is an explanatory view of a pet bottle as a sixth embodiment of the folded line structure according to the present invention, showing a folded line structure (pet bottle) having a cylindrical wall formed along a spiral. It is.
  • FIG. 125 is a side view of a coffee can as a structure with a folding line according to a seventh embodiment of the present invention.
  • FIG. 126 is a side sectional view of the coffee can of the seventh embodiment.
  • FIG. 127 shows the coffee can of Fig. 126 compressed axially (semi-folded shape).
  • FIG. 127A is a side view of the half-folded state
  • FIG. 127B is a side view of the almost completely folded state.
  • FIG. 128 is an explanatory view of a method for manufacturing the coffee can A, and is an explanatory view of an inner mold (a mold having a folding line forming surface) arranged on the inner surface of a cylindrical member.
  • FIG. 128B is a cross-sectional view in which a pair of inner first dies arranged as shown in FIG. 128B are inserted inside the cylindrical member.
  • FIG. 128C is a cross-sectional plan view in which the inner second mold is inserted
  • FIG. 128C is a plan view in which a force rod is inserted into the center of the inner first and second molds in FIG. 128B.
  • Sectional view, Fig. 128D shows a state in which the inner mold is pushed outward by rotating the force rod of Fig. 128C and pushing the inner second mold outward.
  • FIG. 128D shows a state in which the inner mold is pushed outward by rotating the force rod of Fig. 128C and pushing the inner second mold outward.
  • Fig. 129 is an explanatory view of the method for manufacturing the coffee can A.
  • Fig. 129A shows an outer mold with an inner mold (a mold having a folding line forming surface) set on the inner surface of the cylindrical member.
  • FIG. 12B shows a state before K 2 is clamped, and
  • FIG. 12B shows a state where the mold is clamped from the state of FIG. 12A.
  • FIG. 130 is an explanatory view of a coffee can as a foldable structure according to the eighth embodiment of the present invention, showing a foldable structure (coffee can) having a cylindrical wall formed along a spiral. is there.
  • FIG. 13 1 is an explanatory view of another embodiment of the method for producing the coffee can A.
  • FIG. 13 is an explanatory view of a small container as a structure with a folding line according to the ninth embodiment of the present invention.
  • FIG. 13A is a perspective view of a lid of the small container, and
  • FIG. It is a perspective view of the state which carried out.
  • FIG. 13 is an explanatory view of the small container of the ninth embodiment
  • FIG. 13A is a perspective view of the folded small container
  • FIG. 13C is a sectional view in a state where the small container of FIG. 13B is covered.
  • FIG. 134 is an explanatory view of the manufacturing method of the small container B, and shows a state in which a mold (a mold having a folding line forming surface) is closed.
  • FIG. 135 is an explanatory view of a paper pack as a structure with a folding line according to the tenth embodiment of the present invention, and is a perspective view of a used state in which the paper pack is extended.
  • FIG. 136 is a view showing a state in which the paper pack of FIG. 135 is being folded.
  • FIG. 137 is a view showing a state where the paper pack of FIG. 136 is further folded.
  • FIG. 138 is a developed view of the paper pack shown in FIG. 135 to FIG.
  • FIG. 13 is an explanatory view of a paper pack as a structure with a fold line according to Example 11 of the present invention.
  • FIG. 4 is a perspective view of a used state in which the paper pack is extended.
  • FIG. 140 is a view showing a state in which the paper pack of FIG.
  • FIG. 141 shows the paper pack of FIG. 140 folded further.
  • FIG. 142 is an exploded view of the paper pack shown in FIGS.
  • FIG. 144 is an explanatory view of a paper pack as a structure with a folding line according to Embodiment 12 of the present invention.
  • FIG. 4 is a perspective view of a used state in which the paper pack is extended.
  • FIG. 144 shows a state in which the paper pack of FIG. 144 is being folded.
  • FIG. 144 is a view showing a state in which the paper pack of FIG. 144 is further folded.
  • FIG. 146 is an exploded view of the paper pack shown in FIG. 144 to FIG.
  • FIG. 147 is an explanatory diagram of a paper pack as a structure with a folding line according to Example 13 of the present invention.
  • FIG. 4 is a perspective view of a used state in which the paper pack is extended.
  • FIG. 148 is a view showing a state in which the paper pack of FIG. 147 is being folded.
  • FIG. 149 is a view showing the paper pack of FIG. 148 further folded.
  • FIG. 150 is a developed view of the paper pack shown in FIGS.
  • FIG. 151 is an explanatory view of a pump as a structure with a folding line according to Embodiment 14 of the present invention.
  • FIG. 152 is an explanatory diagram of a trash can as a structure with a folding line according to Embodiment 15 of the present invention.
  • FIG. 15A is a side view
  • FIG. FIG. 153 is an explanatory view of a pencil stand as a structure with a fold line according to Example 16 of the present invention.
  • FIG. 153A is a side view
  • FIG. 153B is a side sectional view.
  • FIG. 154 is an explanatory view of a gusset (partition member inside a box) as a structure with a folding line according to Embodiment 17 of the present invention, and is a perspective view showing a state where the gusset is housed in a paper box.
  • FIG. 155 is a perspective view of the gusset of FIG.
  • FIG. 156 is a developed view of the gusset of FIG.
  • FIG. 157 is an explanatory view of a gusset (partitioning member inside the box) as a structure with a folding line according to Example 18 of the present invention, and is a perspective view of the gusset taken out of the paper box.
  • FIG. 158 is a developed view of the gusset of FIG.
  • FIG. 159 is an explanatory view of a gusset (box inner partition member) as a structure with a fold line according to Embodiment 19 of the present invention, and is a perspective view showing a state where the gusset is housed in a paper box.
  • FIG. 160 is a perspective view of the gusset of FIG.
  • FIG. 161 is a development view of the gusset of FIG. 159.
  • FIG. 162 is an explanatory view of a gusset (a box inner partition member) as a structure with a folding line according to Embodiment 20 of the present invention, and is a perspective view showing a state where the gusset is housed in a paper box.
  • FIG. 163 is a perspective view of the gusset of FIG.
  • FIG. 164 is a developed view of the gusset of FIG.
  • FIG. 165 is an explanatory view of the gusset (partition member inside the box) as a structure with a folding line according to Embodiment 21 of the present invention, and is a perspective view showing a state where the gusset is housed in a paper box.
  • FIG. 166 is a perspective view of the gusset of FIG.
  • FIG. 167 is a developed view of the gusset of FIG.
  • FIG. 168 is an explanatory view of the foldable passage cover
  • FIG. 168A is a perspective view of a half-folded state
  • FIG. 168B is a perspective view of a completely folded state.
  • FIG. 169 is a developed view of a foldable passage cover as a structure with a folding line according to Embodiment 22 of the present invention.
  • FIG. 170 is an explanatory view of a folding passage force par having the developed view of FIG. 171
  • FIG. 170A is a perspective view of a half-folded state
  • FIG. 170B is a state of a completely folded state. It is a perspective view.
  • FIG. 171 is a developed view of a foldable passage cover as a structure with a folding line according to Embodiment 23 of the present invention.
  • FIG. 172 is an explanatory view of a lamp shade as a structure with a fold line according to the embodiment 24 of the present invention.
  • FIG. 172 is a development view of a sheet-like member which is a material for manufacturing the lamp shade.
  • FIG. 17B is a perspective view of a lamp shade formed by manufacturing a pseudo cone by joining the left and right sides of the sheet-like member of FIG.
  • FIG. 173 is an explanatory diagram of a Christmas card as a structure with a fold line of Example 25 of the present invention
  • FIG. 173A is a plan view of a folded state of the Christmas card
  • FIG. FIG. 173A is a plan view in a state where it is opened
  • FIG. 173C is a diagram viewed from obliquely above the arrow 173C in FIG. 173B.
  • FIG. 174 is an explanatory view of a hat as a structure with a fold line according to the embodiment 26 of the present invention.
  • FIG. 174A is a perspective view of the hat
  • FIG. FIG. 17C is a cross-sectional view taken along the line 1111B—1111B of FIG.
  • FIG. 175 is an explanatory view of the hat of Example 26
  • FIG. 175A is a plan view of the folded state of the hat
  • FIG. 175B is an arrow 1 1 2 of FIG. It is the figure seen from B.
  • FIG. 176 is an explanatory view of a hat as a structure with a fold line according to Example 27 of the present invention.
  • FIG. 176A is a perspective view of the hat
  • FIG. 176B is a view of FIG. 1 13 B—1 13 B line sectional view
  • FIG. 176 C is a view as seen from the arrow 1 13 C of FIG.
  • FIG. 177 is an explanatory view of the hat of Example 27, FIG. 177A is a plan view of the hat in a folded state, and FIG. 177B is an arrow 1 1 4 of FIG. 177A. It is the figure seen from B.
  • FIG. 178 is a perspective view of a wound cap as a structure with a folding line according to Embodiment 28 of the present invention.
  • FIG. 179 is a perspective view of the retractable hat of FIG. 178 in a state of being folded.
  • FIG. 180 is a perspective view of the retractable cap in a state further folded from the state of FIG. 179.
  • FIG. 181 is an explanatory view of a method of manufacturing the roll-up type hat shown in FIGS. 178 to 180
  • FIG. 18A is a development view of FIG. 1B is a developed view of the temporal region B
  • FIG. FIG. 182 is an explanatory view of another manufacturing method of the wind hat shown in FIG. 178 to FIG. '
  • FIG. 183 is a perspective view of a winding tent as a structure with a folding line according to Example 29 of the present invention.
  • FIG. 184 is a perspective view of the winding tent of FIG. 183 in a state in which the tent is being folded.
  • FIG. 185 is a perspective view of the tent further folded from the state of FIG.
  • FIG. 186 is an explanatory view of the method of manufacturing the coil-type tent shown in FIGS. 183 to 185.
  • FIG. 186A shows a parabolic curved dome shape in an extended state.
  • Fig. 186B is an expanded view of one of the parts formed when the tent is divided in the circumferential direction.
  • Fig. 186B shows the connection between the end AB and the CD of Fig. 186A.
  • FIG. 3 is a view showing a conical wall formed in FIG.
  • FIG. 187 is an explanatory view of a method of manufacturing the coil-type tent shown in FIGS. 183 to 185, and FIG. 187 shows a dome-shaped coil having a radius r1 in an extended state.
  • FIG. 188 is a diagram showing the part number (j) of FIG. 187, the shape and length Lj of the bus, and the inclination 0j.
  • Fig. 189 shows the parts (1), (2), ..., (10) shown in Figs. 187 and 188 divided into 16 parts in the circumferential direction.
  • Figure 189A shows each part (j) composed of 16 divided packets (J).
  • Fig. 189B is a diagram showing the divided parts (J) connected in the radial direction.
  • FIG. 190 is a perspective view of a take-up type tent as a structure with a folding line according to Example 30 of the present invention.
  • FIG. 191 is a perspective view of the winding tent of FIG. 190 in a state in which the tent is being folded.
  • FIG. 192 is a perspective view of the tent in a state where the tent is further folded from the state of FIG. BEST MODE FOR CARRYING OUT THE INVENTION
  • FIG. 110 is a plan view of a folding line forming die according to Embodiment 1 of the present invention.
  • the folding line forming die 1 has a pair of flexible molds 2 and 2 as a pair of foldable folding line forming members arranged axially symmetrically with respect to the opening / closing axis L.
  • the flexible mold 2 has a plurality of rhombic parts P and a craft film 3 bonded to both surfaces of each part P in a state where the outer sides of the plurality of parts P are adjacent to each other. Adjacent outer sides of each of the parts P are connected by the craft film 3, and a foldable linear fold line is formed by the craft film 3 at the connection part (part connection part).
  • Nodes which are intersections of the plurality of fold lines, are arranged at a predetermined interval, and a total of four fold lines intersect at one node.
  • the fold line has a mountain fold line that forms a mountain fold and a valley fold line that forms a valley fold on the one surface side when viewed from one surface side of a flexible mold (fold line forming member) 2, and a ridge that intersects at one node It is formed so that the difference between the number of fold lines and the number of valley fold lines is two.
  • the number of fold lines intersecting at one node is 4, and at each node, three fold lines and one valley fold line intersect, or three fold lines The line intersects one valley fold line.
  • the flexible mold 2, 2 In the state of being folded and stacked along the opening / closing axis L: the flexible mold 2, 2, the mountain fold line and the valley fold line are formed to overlap.
  • the flexible mold which is constructed by bonding a craft film to both sides of each part (each part, that is, each thin metal plate) P, will make the fold line once on the mountain fold line and the valley fold line. Can be easily folded in a mountain and a valley. Therefore, with a paper or resin sheet placed on the surface of the flexible mold on one side of the opening / closing axis L, When the folding mold is folded along the opening / closing axis L, the paper or the resin sheet or the like is sandwiched by a pair of exible molds. In this state, when the flexible mold is folded along the folding line, a folding line is formed on the sheet-shaped member S such as paper or resin sheet.
  • FIG. 11 is a perspective view of a paper or resin sheet on which a folding line is formed.
  • the use of the folding line forming mold 1 shown in FIG. 110 makes it possible to easily form a folding line on a sheet-like member S such as paper or a resin sheet.
  • FIG. 112 is an explanatory view of a folding line forming die according to a second embodiment of the present invention.
  • One of a pair of flexible molds for sandwiching both sides of a sheet-like member forming a folding line is shown. It is a perspective view of a flexible mold.
  • a flexible mold 2 forming a folding line forming mold 1 is formed by a plurality of diamond-shaped parts P, and each part P is located on the side of each part. They are rotatably connected by hinges Pa formed on the edges.
  • each part P is arranged on the same surface side of each part, and the sheet-like member is sandwiched by the surface opposite to the surface on which the hinge Pa is provided.
  • FIG. 13 is a plan view of a folding line forming die according to Embodiment 3 of the present invention.
  • FIG. 114 is an explanatory view of the use state of the folding line forming die of FIG. 113
  • FIG. 114A is a diagram showing a state in which the folding line forming mold is folded in two
  • FIG. 4 is a view showing a state in which the two-folded folding line forming mold shown in FIG.
  • the folding line forming mold 1 has a pair of flexible molds 2 and 2 as a pair of foldable folding line forming members arranged axially symmetrically with respect to the opening / closing axis L.
  • the flexible mold 2 has a plurality of square parts P 1 and a parallelogram part P 2 and both sides of each of the parts P 1 and P 2 with the outer sides of the plurality of parts PI and P 2 adjacent to each other. And a craft film 3 adhered to the substrate.
  • the smaller one of the interior angles of the parallelogram is 60 °.
  • FIG. 115 is an explanatory view of a sheet-like member in which a fold line is formed by using the fold line forming mold shown in FIGS. 113 and 114, and FIG. 115A is a half-folded state.
  • FIG. 11B is a plan view of the sheet-like member, showing a completely folded state.
  • FIG. 116 is an explanatory view of the folded sheet-like member shown in FIG. 115B
  • FIG. 116A is a perspective view
  • FIG. 116B is the folded sheet-like member shown in FIG.
  • FIG. 3 is a perspective view of a flat sheet-shaped member adhered to one surface (lower surface) of the member.
  • a strong core member By applying an adhesive to any one of the joints S1 and S2 and any one of S3 and S4 at the time of folding, a strong core member can be formed. Fig. 1 1
  • Adhering the sheet S '(see Fig. 11-16) to one side (lower surface) or both sides of the folded sheet member S shown in A can produce a plate member with large compressive stress resistance. .
  • the folding line forming mold described in the first and third embodiments uses a pair of folding line forming members (flexible molds) for sandwiching the sheet member
  • the folding line forming mold has one sheet. It is possible to form a fold line in a sheet-like member using a fold line forming member (flexible mold). In this case, a small suction port is formed in each part of the fold line forming member, the one side of the fold line forming member is set to a negative pressure, and the sheet member is attracted to the other side, and the fold line forming member ( It is possible to form a fold line on the sheet member by folding the flexible mold.
  • the pair of folding line forming members are supported by separate support members, and the other folding line forming member is mechanically moved to the close contact position with respect to one folding line forming member. It is also possible to adopt a configuration in which it is detached. (Example 4)
  • FIG. 117 is a side view of a pet bottle as a structure with a folding line according to Embodiment 4 of the present invention.
  • FIG. 118 is a side sectional view of the pet bottle of the fourth embodiment.
  • FIG. 119 is an explanatory view of the state in which the pet pot of FIG. 117 is compressed in the axial direction (semi-folded state).
  • FIG. 119A shows a half-folded state
  • FIG. FIG. 4 is a side view of a state in which the opening is covered with a completely folded state.
  • the pet pottor A has a bottom wall A0, a cylindrical wall A1, a conical wall A2, and an opening A3.
  • the cylindrical wall A 1 has a number of mountain fold lines M (see solid line in FIG. 117) having convex outer surfaces and a number of valley folds having concave valleys.
  • a line V (see the dotted line in FIG. 117) is formed.
  • the part P which is a part (enclosed) formed by the folding lines M and V, is formed in a trapezoid (square). .
  • the cylindrical wall A1 of the PET bottle A of the fourth embodiment When the cylindrical wall A1 of the PET bottle A of the fourth embodiment is compressed in the axial direction, it is folded along the folding lines M and V, and passes through the state of FIG. 119A and the state of FIG. 119B. Will be folded.
  • the folded pet bottle attempts to return to its original shape (extended shape) due to the nature, but when folded in the state shown in Fig. 119B, the opening A 3 is closed with a cap C.
  • the bottle A when air is prevented from flowing into the inside of the bottle A, the bottle A is held in a folded state (the state shown in FIG. 12B). In this folded state, the space required to accommodate the cylindrical wall A 1 can be reduced to less than 1/3 of the state shown in FIGS. 117 and 118.
  • FIG. 120 is an explanatory diagram of the method for manufacturing the pet bottle A, and shows a state in which a mold (a mold having a folding line forming surface) is opened.
  • FIG. 21 is an explanatory view of a method for manufacturing the pet bottle A, and shows a state in which the mold is closed and a tubular or bag-shaped raw tube (parison) is stretched in the mold.
  • FIG. 122 is a view showing a state where compressed air is blown into the inside of the raw tube of FIG.
  • the mold K includes a circular bottom mold K1, a middle mold K2a, K2a obtained by dividing a cylinder into two, and the intermediate molds K2a, K2a. It has an upper first mold K3a for clamping the upper end of the upper mold, and an upper second mold K3b supported on the upper surface thereof.
  • the raw tube C is arranged so as to cover the tip of the air supply pipe B, and the die is clamped and the raw tube C is stretched in the mold as shown in Fig. 121. .
  • FIG. 122 when air is blown out from the air supply pipe B, the pet bottle A is manufactured. By cooling the pet bottle A in FIG.
  • the shape of the mold cavity is transferred to the outer wall of the pet bottle A. Therefore, by forming a concave portion or a convex portion on the inner surface of the mold, a mountain fold line M or a valley fold line V can be formed on the outer wall of the pet bottle A.
  • FIG. 123 is an explanatory view of a pet bottle as a fifth embodiment of the folded line structure of the present invention, showing a folded line structure (pet bottle) formed along a spiral.
  • components corresponding to the components of the fourth embodiment are denoted by the same reference numerals, and detailed description thereof will be omitted.
  • the fifth embodiment is different from the fourth embodiment in the following points, but is configured similarly to the fourth embodiment in other points.
  • the shape of a part P, which is a portion formed (enclosed) by the folding lines M and V, of the pet bottle A of the fifth embodiment is different from that of the fourth embodiment. That is, the shape of the part P of the fifth embodiment is trapezoidal as in the fourth embodiment, but the height of the trapezoid is smaller than that of the fourth embodiment. Further, the folding lines M and V of the fifth embodiment Has a fold line formed along the helix.
  • Example 5 a cylindrical wall having a fold line along a spiral (a structure with a cylindrical fold line) A 1 is folded down when compressed in the axial direction while being twisted, and the outer shape is reduced, and the torsion is reduced. While pulling in the axial direction, it expands and the outer shape expands.
  • FIG. 124 is an explanatory view of a pet bottle as a sixth embodiment of the folded line structure of the present invention, showing a folded line structure (pet bottle) having a cylindrical wall formed along a spiral. It is.
  • the sixth embodiment is different from the fifth embodiment in the following points, but is configured similarly to the fifth embodiment in other points.
  • the shape of a part P which is a portion (enclosed) formed by the folding lines M and V is different from that of the fourth embodiment. That is, the shape of the part P of the sixth embodiment is trapezoidal as in the fifth embodiment, but the height of the trapezoid is higher than that of the fourth embodiment.
  • the fold lines M and V of the sixth embodiment have fold lines formed along the spiral as in the fifth embodiment, but the inclination of the spiral is larger than that of the embodiment.
  • the tilt angle is about 45 °.
  • a cylindrical wall (a structure with a cylindrical folding line) A1 having a folding line along a spiral with a large inclination angle is folded when it is compressed in the axial direction while being twisted, and its outer shape is changed.
  • the size is smaller than that of the fifth embodiment, but requires a slightly larger force than the fifth embodiment when folded.
  • the cylindrical wall A 1 of the PET bottle is plastically deformed, so that the cylindrical wall A 1 does not automatically return to its original shape due to elasticity. For this reason, when the PET bottle is used and compressed in the axial direction while being twisted and folded, the folded state can be maintained without the need to hook the opening A 3.
  • FIG. 125 is a side view of a coffee can as a structure with a fold line according to Embodiment 7 of the present invention. is there.
  • FIG. 126 is a side sectional view of the coffee can of the seventh embodiment.
  • FIG. 127 is an explanatory view of the state in which the coffee can of FIG. 126 is compressed in the axial direction (semi-folded state).
  • FIG. 127A is a side view of the semi-folded state, and
  • FIG. It is a side view in the state where it was almost completely folded.
  • the coffee can A has an aluminum or steel bottom wall A0, a cylindrical wall A1, and an upper wall A2. 7. It has the same shape as the cylindrical part of the pet bottle in Fig. 118. As shown in FIGS. 125 and 126, the cylindrical wall A1 has a large number of mountain fold lines M (see solid lines in FIG. 125) and a large number of concave valleys having concave outer surfaces. A fold line V (see a dotted line in FIG. 125) is formed.
  • the part P which is a portion (enclosed) formed by the folding lines M and V, is formed in a trapezoid (square).
  • a node which is the intersection of the mountain fold line M and the valley fold line V
  • a total of four fold lines of three mountain fold lines M and one valley fold line V intersect.
  • a pattern as shown in Fig. 33 is provided on the outer periphery of the central part in the axial direction, if the coffee can is twisted at the time of disposal, the folding line will extend from the pattern as a starting point. And folded.
  • FIG. 128 is an explanatory view of a method for manufacturing the coffee can A, and is an explanatory view of an inner mold (a mold having a folding line forming surface) arranged on the inner surface of a cylindrical member.
  • FIG. FIG. 128B is a cross-sectional view in which a pair of inner first dies arranged as shown is inserted inside the cylindrical member, and FIG. 128B is a pair of inner first dies of FIG. 128A.
  • Fig. 128C is a plan sectional view with the inner second mold inserted, and the force is applied to the center of the inner first and second molds in Fig. 128B.
  • Fig. 128D is a plan cross-sectional view with the mrod inserted. The cam rod shown in Fig. 128C is rotated and the inner second mold is pushed outward, and the inner first and second molds are shown.
  • FIG. 5 is a diagram showing a state in which is pushed outward.
  • Fig. 129 is an explanatory view of the method for manufacturing the coffee can A.
  • Fig. 129A shows an outer mold with an inner mold (a mold having a folding line forming surface) set on the inner surface of the cylindrical member.
  • FIG. 12B shows a state before K 2 is clamped, and
  • FIG. 12B shows a state where the mold is clamped from the state of FIG. 12A.
  • the inner mold K 1 shown in FIGS. 128 and 129 has a pair of inner first molds K la, K la arranged to face each other, and a pair of inner second molds It has a mold K lb, K lb and a cam rod K lc inserted between the inner first and second molds K la, K la, K 1b, K lb.
  • the outer mold K2 has four outer divided molds K2a formed by dividing a cylindrical mold into four equal parts, and the inner surface of each outer divided mold K2a has The uneven surface (not shown) that forms the mountain fold line M and the valley fold line V of the coffee can A shown in FIG. 125 and FIG. 126 is formed.
  • the inner first and second molds Kla, Kla, Klb, and Klb of the inner mold K1 have air vents for discharging air in recesses formed on the outer surfaces thereof. By forming a hole (not shown) between the concave portion on the outer surface and the inner surface, molding of the coffee can A can be easily performed. (Example 8)
  • FIG. 130 is an explanatory view of a coffee can as a foldable structure according to the eighth embodiment of the present invention, showing a foldable structure (coffee can) having a cylindrical wall formed along a spiral. is there.
  • the eighth embodiment differs from the seventh embodiment in the following points, but has the same configuration as the seventh embodiment in other points.
  • the coffee can A of Example 8 has a part P, which is a portion (enclosed) formed by the folding lines M and V, formed along a spiral having an inclination angle of 45 °. I have.
  • a cylindrical wall (structure with a cylindrical folding line) A1 having a fold line along a spiral having an inclination angle of 20 ° to 30 ° or more is twisted in the axial direction while twisting.
  • the cylindrical wall A 1 of the coffee can A plastically deforms, so that the cylindrical wall A 1 does not automatically return to its original shape. For this reason, when coffee can A is used, it is compressed and folded in the axial direction while being twisted, thereby maintaining a small folded state.
  • FIG. 13 1 is an explanatory view of another embodiment of the method for producing the coffee can A.
  • a state in which an inner mold K 1 is set inside a cylindrical wall A 1 having a bottom wall AO is fixed to the upper end of the liquid container V, and the cylindrical wall A 1 is accommodated in the liquid container V.
  • the tube T is connected to the upper end of the liquid container V, and the liquid is also filled inside the tube T.
  • FIG. 13 is an explanatory view of a small container as a structure with a folding line according to the ninth embodiment of the present invention.
  • FIG. 13A is a perspective view of a lid of the small container
  • FIG. It is a perspective view of the state which carried out.
  • FIG. 13 is an explanatory view of the small container of the ninth embodiment
  • FIG. 13A is a perspective view of the folded small container
  • FIG. 13C is a sectional view in a state where the small container of FIG. 13B is covered.
  • the small container B (see FIG. 13B) has a circular bottom plate 6, an upper end plate 7, and a foldable pseudo-cylindrical wall 8.
  • the upper plate 7 has a circular outer shape, and a hexagonal opening 7a is formed at the center.
  • the pseudo cylindrical wall 8 is formed with a number of mountain fold lines M having a convex outer surface and a number of valley fold lines V having a concave outer surface.
  • the pseudo-cylindrical wall 8 of the small container B of the ninth embodiment includes a plurality of parts P 1 and P 1, which are portions (enclosed) formed by the folding lines M and V. ⁇ Has P2.
  • Part P 1 is triangular and one side is foldably connected to bottom plate 6, and part P 2 is triangular and one side is foldably connected to upper end plate 7.
  • a mountain fold line M, M,... is formed at a connection portion between the bottom plate 6 and one side of each of the six parts P 1, and the mountain fold line M, M,... forms a hexagon. Connected to the address.
  • a mountain fold line M, M,... is formed at a connection portion between the upper end plate 7 and one side of each of the six parts P2, and the mountain fold lines M, M,. Connected to the endless.
  • the endlessly connected mountain fold lines M, M,... Form a continuous and closed polygon along a plane perpendicular to the axis of the pseudo cylindrical wall 8.
  • the pseudo-cylindrical wall 8 of the small container B of the ninth embodiment When the pseudo-cylindrical wall 8 of the small container B of the ninth embodiment is compressed in the axial direction while being twisted, the pseudo-cylindrical wall 8 is folded along the folding lines M and V to obtain the state shown in FIGS. 13A and 13B. Become.
  • a lid 9 (see FIGS. 13A and 13C) for opening and closing the hexagonal opening 7a at the upper end of the small container B is provided on the circular upper plate 9a and the outer periphery of the upper plate 9a.
  • a short cylindrical wall 9b provided, a pair of protruding portions 9c, 9c extending downward from a lower end of the cylindrical wall 9b, and a lower end locking portion which is provided at a lower end of the protruding portions 9c, 9c and protrudes inward. It has a portion 9d and an upper locking portion 9e that projects slightly on the inner surface of the cylindrical wall 9b above the projections 9c, 9c.
  • the small container B When the small container B is used, when the small container B is extended (see FIG. 13B) and the cylindrical wall 9 b of the lid 9 is fitted to the upper end plate 7 of the small container B, the locking portion 9 e and 9 e are locked to the lower surface of the upper end plate 7. In this state, the lid 9 is held at the upper end of the small container B while closing the opening 7a of the elongated small container B. Therefore, the objects contained in the small container B can be shielded from the outside air to protect the contents contained therein.
  • FIG. 134 is an explanatory view of the manufacturing method of the small container B, and shows a state in which a mold (a mold having a folding line forming surface) is closed.
  • the mold 11 is divided into an upper mold 11a, lib and a lower mold 11c.
  • the upper molds 11a and 11b are formed along the dividing lines L1 and L2 formed along the mountain fold lines M and M arranged at positions facing each other in Fig. 13B. Divided type.
  • a resin is injected into the captivity 12 formed in the mold 11 and cured to form a small container B, and then the upper molds 11a and 11b are opened. Thereafter, when the small container B formed on the lower mold 11 c is pulled upward while being twisted, the formed small container B can be easily taken out from the lower mold 11 C.
  • FIG. 135 is an explanatory view of a paper pack as a structure with a folding line according to Example 10 of the present invention.
  • FIG. 4 is a perspective view of a used state in which the paper pack is extended.
  • FIG. 136 is a view showing a state in which the paper pack of FIG. 135 is being folded.
  • FIG. 137 is a view showing a state in which the paper pack of FIG.
  • FIG. 138 is a developed view of the paper pack shown in FIG. 135 to FIG.
  • FIG. 138 is an expanded view of a paper pack that is folded in two steps by a folding line that satisfies the folding conditions, and the dashed line in the vertical direction is the mountain fold line in the state of FIG. Fig. 1 3 8
  • the left and right side edges are glued together to form a cylinder, and then folded along the vertical mountain fold line M and the valley fold line V to obtain the paper pack shown in Fig. 135. Packs).
  • FIG. 139 is an explanatory diagram of a paper pack as a structure with a folding line according to Embodiment 11 of the present invention, and is a perspective view of a used state in which the paper pack is extended.
  • FIG. 140 is a view showing a state in which the paper pack of FIG.
  • FIG. 141 shows a state in which the paper pack of FIG. 140 is further folded.
  • FIG. 142 is an exploded view of the paper pack shown in FIGS.
  • Fig. 142 is an expanded view of a paper pack that is folded in four steps along a folding line that satisfies the folding conditions, which is different from the expanded view of Fig. 138 that is folded in two steps.
  • the one-dot chain line in the vertical direction in FIG. 142 is the mountain fold line in the state of H139.
  • the left and right side edges of Fig. 14 2 are glued together to form a cylinder, and then folded along the horizontal mountain fold line M and valley fold line V to obtain the paper shown in Fig. 13 9
  • Packs paper packs in use
  • Other configurations and operations are the same as those in the tenth embodiment.
  • FIG. 144 is an explanatory view of a paper pack as a structure with a folding line according to Embodiment 12 of the present invention, and is a perspective view of a used state in which the paper pack is extended.
  • FIG. 144 shows a state in which the paper pack of FIG. 144 is being folded.
  • FIG. 144 is a view showing a state in which the paper pack of FIG. 144 is further folded.
  • FIG. 146 is an exploded view of the paper pack shown in FIG. 144 to FIG.
  • FIG. 146 is an exploded view of a paper pack that is folded in four steps by a folding line that satisfies the folding condition, in which vertical mountain fold lines M are formed alternately inclined.
  • the left and right side edges of Fig. 144 are glued together to form a tube, and then folded along the mountain fold line M and the valley fold line V to obtain the paper pack shown in Fig. 144 (the paper pack in use). ) Can be.
  • Other configurations and operations are the same as those of the above-described embodiment 11. (Example 13)
  • FIG. 147 is an explanatory diagram of a paper pack as a structure with a folding line according to Embodiment 13 of the present invention, and is a perspective view of a used state in which the paper pack is extended.
  • FIG. 148 is a view showing a state in which the paper pack of FIG. 147 is being folded.
  • FIG. 149 is a view showing a state where the paper pack of FIG. 148 is further folded.
  • FIG. 150 is a developed view of the paper pack shown in FIGS.
  • FIG. 150 is an exploded view of a paper pack that is folded in four steps along a folding line that satisfies the folding condition.
  • a vertical mountain fold line M is formed to be inclined in the same direction.
  • the left and right side edges of Fig. 150 are glued to form a cylinder, and then folded along the mountain fold line M and the valley fold line V to obtain the paper pack (Fig. Paper pack).
  • Fig. Paper pack As can be seen from Fig. 147, the paper pack is twisted in a certain direction from the upper end to the lower end.By changing the direction in which the paper pack is twisted, it can be easily extended or folded into the use state. it can.
  • Other configurations and operations are the same as those of the embodiment 12.
  • FIG. 151 is an explanatory view of a pump as a structure with a folding line according to Embodiment 14 of the present invention.
  • the pump chamber A is configured similarly to the pet bottle A of the fifth embodiment, and the opening at the upper end is opened and closed by a cap C.
  • the upper end of the fluid tube T is connected to the lower end of the pump chamber A.
  • the fluid tube T has a suction tube T1 and a discharge tube T2.
  • the suction tube T 1 is provided with a suction valve V 1
  • the discharge tube T 2 is provided with a discharge valve V 2.
  • V 1 is closed and V 2 is opened, and the fluid in the pump chamber A is discharged from the discharge tube T 2.
  • VI opens and V2 closes, and fluid flows into the pump chamber A from the suction tube T1.
  • the pump of the fourth embodiment can be used for refueling kerosene, inflating a bicycle, and the like.
  • FIG. 152 is an explanatory diagram of a trash can as a structure with a folding line according to Embodiment 15 of the present invention.
  • FIG. 15A is a side view, and FIG.
  • the trash can A is formed of a cylinder with a folding line made of the paper or resin, and has a bottom wall A0, a cylindrical wall A1, and an upper wall A2. are doing.
  • An opening A2a for introducing refuse is formed in the upper wall A2.
  • the cylindrical wall A1 of the trash can A is formed of a plurality of trapezoidal traps P which are inclined by a mountain fold line M and a valley fold line V. Since the part P is formed along an inclined spiral of about 45 °, the extended trash can A can maintain its state (shape).
  • FIG. 153 is an explanatory view of a pencil stand as a structure with a folding line according to Example 16 of the present invention.
  • FIG. 153A is a side view
  • FIG. 153B is a side sectional view.
  • the brush stand A is composed of a cylindrical body with a folding line made of the paper or resin, and the bottom wall A 0, the cylindrical wall A 1, and the upper wall A 2 Yes.
  • An opening A2a for inserting a writing implement such as a pencil is formed in the upper wall A2.
  • the cylindrical wall A 1 of the brush stand A is formed by a plurality of oblique trapezoidal parts P formed by a mountain fold line M and a valley fold line V. The part? Is formed along the spiral of about 45 °, so that the brush stand A in the extended state can maintain its shape.
  • FIG. 154 is an explanatory view of a gusset (partition member inside a box) as a structure with a folding line according to Embodiment 17 of the present invention, and is a perspective view showing a state where the gusset is housed in a paper box.
  • FIG. 155 is a perspective view of the gusset of FIG.
  • FIG. 156 is a developed view of the gusset of FIG.
  • the paper box C contains the guesses G. Guess G is produced by folding along the mountain fold line M and the valley fold line V in the developed view shown in Figure 156.
  • the gusset G of Example 17 has two rows of rising walls G 1 formed therein, and the rising walls G 1 are formed as partition walls.
  • the storage item support surface G2 formed between the rising walls G1 is a surface for supporting storage items such as buns and crockies, and is inclined in the seventeenth embodiment.
  • Guess G is made of one piece of paper, the time required for setting work is shortened as compared to the case where a Guess composed of multiple sheets of paper is set in paper box C. be able to.
  • FIG. 157 is an explanatory view of a gusset (partitioning member inside the box) as a structure with a folding line according to Example 18 of the present invention, and is a perspective view of the gusset taken out of the paper box.
  • FIG. 158 is a developed view of the gusset of FIG.
  • the gusset G in FIG. 157 and FIG. 158 has a wall G1 that rises up on both sides of the gusset G in Example 17 described above. Since the rising walls G 1 on both sides of the gusset G are supported by the side walls of the paper box C when housed in the paper box C (not shown), the position of the guess G in the paper box C is stabilized, and Reinforce the rigidity of the Guess's containment support surface G2.
  • FIG. 159 is an explanatory view of a gusset (box inner partition member) as a structure with a fold line according to Embodiment 19 of the present invention, and is a perspective view showing a state where the gusset is housed in a paper box.
  • FIG. 160 is a perspective view of the gusset of FIG.
  • FIG. 161 is a developed view of the guess of FIG. 159.
  • the paper box C contains the guesses G.
  • the storage material support surface G2 formed between the rising wall G1 of the guess G is a surface for supporting storage items such as buns and cookies. (Parallel to the bottom surface).
  • This embodiment 19 has a configuration in which the rising portion extends in a direction perpendicular to the rising wall G 1.
  • a gall wall G 3 is provided.
  • the storage item support surface G2 is formed so as to be surrounded by the rising walls Gl and G2.
  • the guesses G in Example 19 are made of one sheet of paper, the guesses G composed of a plurality of papers are required for setting work in comparison with the case of setting the gussets in a paper box C. Time can be shortened.
  • FIG. 162 is an explanatory view of a gusset (a box inner partition member) as a structure with a folding line according to Embodiment 20 of the present invention, and is a perspective view showing a state where the gusset is housed in a paper box.
  • FIG. 163 is a perspective view of the gusset of FIG.
  • FIG. 164 is a developed view of the gusset of FIG.
  • the paper box C contains a guess G.
  • the rising walls G1 and G3 of the gusset G are formed so as to extend in directions perpendicular to each other, and a stored article support surface G2 is formed between the rising walls G1 and G3.
  • the storage item support surface G2 is a surface that supports storage items such as buns and cookies, and the embodiment 20 is formed horizontally (parallel to the bottom surface of the paper box C).
  • FIG. 165 is an explanatory view of the gusset (partition member inside the box) as a structure with a folding line according to Embodiment 21 of the present invention, and is a perspective view showing a state where the gusset is housed in a paper box.
  • FIG. 166 is a perspective view of the gusset of FIG.
  • FIG. 167 is a developed view of the gusset of FIG.
  • a paper box C contains a guess G.
  • the rising walls G 1 and G 3 of the gusset G are formed so as to extend in directions perpendicular to each other, and a stored article support surface G 2 is formed between the rising walls G 1 and G 3.
  • the storage object support surface G2 is a surface for supporting storage items such as buns and woodpeckers. (Parallel to the bottom of paper box C).
  • the gusset G of the embodiment 21 is formed by bending a single square sheet of paper along a diagonal fold line M and a valley fold line V. Since this embodiment 21 is also made of one sheet of paper, the time required for the setting work is shortened as compared with the case where a guess made of a plurality of sheets is set in the paper box C. can do.
  • FIG. 168 is an explanatory view of the folding passage force par
  • FIG. 168A is a perspective view in a half-folded state
  • FIG. 168B is a perspective view in a completely folded state.
  • FIG. 169 is a developed view of a foldable passage cover as a structure with a folding line according to Embodiment 22 of the present invention.
  • the folding passage force par 16 shown in Fig. 168 is a member that is used to cover the upper and lower sides of the passage through which people pass, and is especially used between railway cars. Suitable for use in places where there is no fixed distance between the structures at both ends of the passage, such as the passage at the connecting part of the building or the passage between the terminal pledge at the airport and the entrance to the aircraft. Is done.
  • the foldable passage cover 16 is a member formed by attaching a fold line to an elastic and flexible sheet-like member, and is foldable at the fold line portion. In the half-folded state, the foldable passage cover 16 has the shape shown in Fig. 168, and is arranged along the passage so as to cover the upper part of the passage and the left and right sides. Fixed to In the exploded view of the foldable passage cover 16 shown in FIG. 169, the foldable passage cover 16 has many mountain fold lines M and ⁇ A number of concave valley fold lines V are formed.
  • the folding line pattern of the foldable passage cover 16 of the embodiment 22 is one section.
  • Point 4 is the folding line.
  • the foldable passage cover 16 of the embodiment 22 has a plurality of parts P 1, P 2, and P 3 that are parts (enclosed) formed by the fold lines M and V. ing.
  • Part P1 is triangular
  • part P2 is equilateral trapezoid
  • part P3 is trapezoidal.
  • the foldable passage force par 16 is folded into a state in which the outer shape is reduced as shown in FIG. 168 during storage or transportation.
  • FIG. 170 is an explanatory view of a folding passage force par having the developed view of FIG. 171
  • FIG. 170A is a perspective view of a half-folded state
  • FIG. 170B is a state of a completely folded state. It is a perspective view.
  • FIG. 171 is a developed view of a foldable passage cover as a structure with a folding line according to Embodiment 23 of the present invention.
  • Example 23 differs from Example 22 in the following points, but has the same configuration as Example 22 in other points.
  • the foldable passage force par 16 shown in FIG. 170 is similar to the embodiment 22 in that the passage portion at the connection between the railway vehicles, the passage between the end of the terminal bridge at the airport and the entrance to the aircraft, etc. It is suitable for use in places where the distance between structures at both ends of the passage is not fixed.
  • the foldable aisle cover 16 shown in FIG. 17 1 has the outer shape excluding the center of the fan shape in the developed view.
  • the foldable passage cover 16 is formed with a number of mountain fold lines M having a convex outer surface and a number of valley fold lines V having a concave shape when used in a half-folded state. It is a folding line. Each node satisfies the folding condition.
  • the foldable passage cover 16 of the embodiment 23 includes a plurality of parts PI, P 2, P 3, which are parts (enclosed) formed by the fold lines M, V. Has P4.
  • the part PI is a triangle, and the parts P2 to P4 are all quadrilaterals.
  • the foldable passage force par 16 of the embodiment 23 is folded in a state where the outer shape is reduced as shown in FIG. It is.
  • FIG. 172 is an explanatory view of a lampshade as a structure with a fold line according to Embodiment 24 of the present invention.
  • FIG. 172A is a development view of a sheet-like member which is a material for manufacturing a lampshade.
  • FIG. 17B is a perspective view of a half-folded lamp shade formed by joining the left and right sides of the sheet-like member of FIG. 17A to form a pseudo cone.
  • a lamp seed 17 shown in a half-folded state shown in 2B is a member used as a lamp umbrella in an extended state, and is made of a sheet-like resin.
  • 17B has a shape excluding the center of the sector. I have.
  • An adhesive margin 17a for bonding is provided on one of both sides of the resin sheet to be joined to each other.
  • a fold line is formed on the resin sheet in the unfolded state using the same member as the fold line forming die shown in the first or third embodiment, and then the elasticity at the time of curing is applied to the adhesive margin 17a.
  • An adhesive having a property is applied and adhered to the other of the two sides. At this time, a foldable pseudo-conical wall can be manufactured using the transparent resin sheet.
  • the foldable pseudo-cylindrical wall of the transparent resin sheet has a large number of mountain fold lines M having a convex outer surface and a number of concave valley fold lines V having a concave shape in a half-folded state.
  • the foldable pseudo-conical wall of the embodiment 24 includes a plurality of parts P la, P 1b, P 2a, which are (enclosed) portions formed by the fold lines M and V. P 2 b,.
  • the shapes of the parts PIa, P2a, ... are similar triangles having different sizes, and the shapes of the parts ⁇ ⁇ ⁇ 2a, P2b, ... are similar triangles having different sizes.
  • Attached to the parts P 1 a, P 1 b, P 2 a, etc. is a transparent cellulosic paper or a normal colored paper with a favorite color such as red, blue, yellow, etc. It is configured.
  • the lampshade 17 is folded into a small external shape when it is stored or transported, and is expanded into a pseudo cone having a large external shape when used.
  • FIG. 173 is an explanatory view of a Christmas card as a structure with a fold line of Example 25 of the present invention
  • FIG. 173A is a plan view of a folded Christmas card
  • FIG. FIG. 173A is a plan view of the opened state
  • FIG. 173C is a diagram of the arrow 173C of FIG. 173B viewed obliquely from above.
  • the christ mask C has a bridging portion C 1 to which the Christmas tree T is bonded and a tree pressing portion C 2 for pressing down the Christmas tree.
  • the Christmas tree T is formed by a conical wall with a folding line made of a colored sheet that satisfies the folding conditions.
  • the Christmas card T is held in a folded state.
  • the above-mentioned Christmas card C is opened as shown in FIG. T expands due to elasticity, resulting in the three-dimensional shape shown in Fig. 17C when viewed from diagonally above. Therefore, the person who receives the Christmas card C can feel unusual and enjoyable.
  • FIG. 174 is an explanatory view of a hat as a structure with a folding line according to Example 26 of the present invention.
  • 17 A is a perspective view of the hat
  • FIG. 17 B is a cross-sectional view of the above-described FIG. 17 A taken along a line 17 4 B— 17 4 B
  • FIG. 17 C is an arrow of the above FIG. It is the figure seen from 1 7 4 C.
  • FIG. 175 is an explanatory view of the hat of Example 26.
  • FIG. 175A is a plan view of the hat in a folded state
  • FIG. 175B is an arrow 175 of FIG. It is the figure seen from B.
  • the hat C (see Fig. 174) has a donut-shaped collar 13 and a foldable crown 14 provided on the upper surface of the center of the collar 13. are doing.
  • the crown 14 has a hexagonal upper surface portion 14a and a side portion (pseudo-conical wall) 14b formed by twisting a hexagonal pyramid.
  • the fold line pattern of the side surface portion (pseudo-cone wall) 14b of the ninth embodiment is a one-node four-fold line.
  • the temporal portion 14b of the hat C of the embodiment 26 has a plurality of parts P 1 which are (enclosed) portions formed by the polygonal lines M and V. And P 2.
  • the part P 1 is triangular and one side thereof is foldably connected to the brim 13
  • the part P 2 is triangular and one side thereof is foldably connected to the upper surface 14 a.
  • a mountain fold line M, M,... is formed at a connection portion between the collar 13 and one side of each of the six parts P 1, and the mountain fold line M, M,... forms a hexagon. So endlessly connected.
  • a mountain fold line M, M,... is formed at a connection portion between the upper surface member 14 a and one side of each of the six parts P 2, and the mountain fold line M, M,... has a hexagonal shape. Connected to the address to form.
  • Each of the mountain fold lines M, M,... Connected endlessly has the side part (pseudo-conical wall) 14 b in the state where the side part (pseudo-conical wall) 14 b is extended and folded. Form a closed polygon in a plane perpendicular to the axis of.
  • the side part 14 b of the cap C of the embodiment 26 is compressed in the axial direction while being twisted. Then, it is folded along the folding lines M and V, resulting in the state of FIG. 175A and FIG. 175B.
  • the angle formed by the mountain fold line M and the valley fold line V formed at the connection portion between the collar 13 and one side of the part P1 is set to an angle larger than 45 °. For this reason, even if the rigidity of the temporal part 14b is small, it is easy to maintain the extended state due to the rigidity when it is extended once.
  • the space required for accommodating the hat C can be reduced by folding the hat C as shown in Fig. 175B.
  • FIG. 176 is an explanatory view of a hat as a structure with a fold line according to Example 27 of the present invention.
  • FIG. 176A is a perspective view of the hat
  • FIG. 176B is a view of FIG. 1 13 B—1 13 B line sectional view
  • FIG. 176 C is a view as seen from the arrow 1 13 C of FIG.
  • FIG. 177 is an explanatory view of the hat of Example 27,
  • FIG. 177A is a plan view of the hat in a folded state, and
  • FIG. 177B is an arrow 1 1 4 of FIG. 177A. It is the figure seen from B.
  • the same reference numerals are given to the components corresponding to the components of the embodiment 26, and the detailed description thereof will be omitted.
  • This embodiment 27 is different from the above-mentioned embodiment 26 in the following points, but is configured similarly to the above-mentioned embodiment 26 in other points.
  • a plurality of equiped trapezoidal parts P1 to P5 are formed on the temporal part (pseudoconical wall) 14b by a large number of one-node four-fold lines.
  • Each fold line is formed by joining and stitching the ends of the fabric.
  • the mountain fold and the valley fold of the fold line are determined by the joining state of the ends of the fabric.
  • a mountain fold line M is formed, and when the end protrudes inward, the valley fold line is formed.
  • Form V The parts P1 to P5 of the equilateral trapezoid have smaller sizes in order from the part P1 arranged at the bottom to the part P5 arranged at the top.
  • Each of the equi-legged parts P1 has one bottom side foldably connected to the collar 13 and the part P5 has one bottom side foldably connected to the upper surface part 14a.
  • a mountain fold line M and a valley fold line V are formed so as to be connected alternately, and are connected alternately.
  • the three mountain fold lines M and the three valley fold lines V are connected endlessly to form a hexagon.
  • Three mountain fold lines M and three valley fold lines V are alternately connected to a connection portion between the upper surface member 14a and one side of each of the six parts P5, and a total of six fold lines M are provided.
  • the fold lines are connected endlessly to form a hexagon.
  • the three mountain fold lines M and the three valley fold lines V connected alternately and to the endless are in a state in which the temporal portion (pseudoconical wall) 14 b is extended and in a folded state.
  • a closed polygon is formed in a plane perpendicular to the axis of the temporal region (pseudoconical wall) 14 b.
  • FIG. 178 is a perspective view of a wound cap as a structure with a folding line according to Embodiment 28 of the present invention.
  • FIG. 179 is a perspective view of the retractable hat of FIG. 178 in the process of being folded.
  • FIG. 180 is a retractable hat of the retractable hat further folded from the state of FIG. 179. It is a perspective view.
  • the rewindable cap H is composed of a flange A, a temporal part B, and a top part C.
  • a mountain fold line is shown. It can be wound while folding along M and valley fold line V.
  • FIG. 181 is an explanatory view of the method of manufacturing the winding cap shown in FIG. 178 to FIG. 180.
  • FIG. 18A is a development view of FIG. 1 B is a development of the temporal region B
  • Fig. 1 8 1 C is a developed view of the crown C.
  • an inner radius RAi (“i” means in) is drawn on a sector with a central angle of ⁇ 1 (outer radius RAo: “oj” means “out”), and the outer circumference is divided into N (even numbers).
  • the temporal part B is made of a curved strip-shaped element cut out from a fan shape.
  • the vertex angle ⁇ 2 which is extremely smaller than the central angle 11, of the flange is used.
  • FIG. 182 is an explanatory view of another manufacturing method of the wind hat shown in FIG. 178 to FIG. In Fig. 18 2, three elements are divided into an even number of small elements ( Figure 18 1A, Fig. 18 1 B, and Fig.
  • FIG. 183 is a perspective view of a retractable tent as a structure with a folding line according to Example 29 of the present invention.
  • FIG. 184 is a perspective view of the winding tent of FIG. 183 in a state in which the tent is being folded.
  • FIG. 185 is a perspective view of the tent further folded from the state of FIG.
  • the winding-type tent H has a mountain fold line M and a valley fold line V formed along an equiangular spiral (Bernilly spiral).
  • the shaped fan-shaped parts can be wound up while folding along the folding lines M and V.
  • the tent H has a dome shape in the extended state, and ring-shaped flexible tubes H 1 and H 2 extending in the circumferential direction are fixed to the outer peripheral portion of the outer surface and a radially central portion thereof, respectively. .
  • the tent H is maintained in the extended state shown in FIG. 183 by inflating the flexible tubes HI and H2 by supplying air thereto.
  • Fig. 186 is an explanatory view of the method of manufacturing the winding type tension shown in Figs. 183 to 185, and Fig. 186A shows a parabolic curved dome-shaped winding in an extended state.
  • Fig. 186B is an expanded view of one of the parts formed when the tent is divided in the circumferential direction.
  • Fig. 186B shows the connection between the end AB and the CD of Fig. 186A.
  • FIG. 3 is a view showing a conical wall formed in FIG.
  • FIG. 187 is an explanatory view of the method of manufacturing the roll-up tent shown in FIGS. 183 to 185, and FIG. 187 is a roll-up tent having a dome shape with a radius r1 in an extended state.
  • FIG. 6 is a diagram showing the shape of a part (conical wall) (j) formed when divided into 10 parts by a circle having a radius of).
  • FIG. 188 is a diagram showing the part number (j) of FIG. 187, the shape and length Lj of the bus, and the inclination 0j.
  • Fig. 189 shows the parts (1), (2), ..., (10) shown in Fig. 187 and Fig. 188 divided by 16 in the circumferential direction.
  • Fig. 189A shows that each part (j) is composed of 16 divided parts (J).
  • Fig. 189B is a diagram showing the divided parts (J) connected in the radial direction. '
  • a truncated cone as shown in Fig. 186B is obtained. Assuming that the radius of the bottom of this truncated cone is' and the apex angle of the conical shell obtained by extending this truncated cone is 20, the outer circumference of the bottom of the truncated cone is equal to the outer circumference of the strip, and
  • n frustoconical elements are named sequentially (1), (2), (3),..., and when these are cut open and expanded, the angles corresponding to the ® values in Figure 1886 A are sequentially determined. 1, ⁇ 2, ⁇ 3, ...

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  • Ceramic Engineering (AREA)
  • Architecture (AREA)
  • Manufacturing & Machinery (AREA)
  • Physics & Mathematics (AREA)
  • Aviation & Aerospace Engineering (AREA)
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  • Civil Engineering (AREA)
  • Structural Engineering (AREA)
  • Instructional Devices (AREA)
  • Containers Having Bodies Formed In One Piece (AREA)

Abstract

L'invention concerne une structure (A), telle qu'une bouteille en PET, munie de lignes de pliage et possédant plusieurs parties polygonales (P) et des connecteurs de parties linéaires destinés à l'imbrication des côtés extérieurs des parties respectives (P), avec des lignes de pliage linéaires (M, V) situées le long desdits connecteurs linéaires. Ces lignes de pliage linéaires (M, V) sont constituées de plusieurs lignes de pliages nervurées (M) pliées le long des nervures sur une surface de la structure lorsqu'on regarde à partir de ladite surface, et plusieurs lignes de pliage cannelées (V), les lignes de pliage respectives répondant aux nécessités du pliage. L'invention concerne également un procédé de pliage selon lequel la structure en forme de paroi est divisée en parties planes polygonales (P) par de nombreuses lignes de pliage, les lignes de pliage (M, V) aux parties limites entre les parties planes respectives pouvant être pliées, ainsi qu'un nouveau moule de formation de lignes de pliage et un procédé de formation de lignes de pliage.
PCT/JP2000/007348 2000-04-20 2000-10-20 Structure pourvue de lignes de pliage, moule de formation de lignes de pliage et procede de formation de lignes de pliage WO2001081821A1 (fr)

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Cited By (19)

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WO2002024531A1 (fr) * 2000-09-25 2002-03-28 Merler Ferruccio & Co. Sas-Kg Conteneurs et emballages compactables
WO2003059759A1 (fr) * 2001-12-28 2003-07-24 Daniela Bianchi Receptacle pliable rigide
FR2873353A1 (fr) * 2004-07-22 2006-01-27 Steve Gustave Technique de reduction de volume
JP2006256264A (ja) * 2005-03-18 2006-09-28 Shoji Tougeda 機能性クラフト
US7730925B1 (en) 2007-05-09 2010-06-08 Pereira Carlos E Collapsable screen and design method
EP2272761A1 (fr) * 2009-06-18 2011-01-12 Astrium Limited Structure extensible
DE202013004500U1 (de) * 2013-05-15 2013-06-05 Panther Packaging Gmbh & Co. Kg Einteiliger Zuschnitt für individuelle Verpackungen und Displays
JP2015110438A (ja) * 2013-12-06 2015-06-18 ザ コカ・コーラ カンパニーＴｈｅ Ｃｏｃａ‐Ｃｏｌａ Ｃｏｍｐａｎｙ プラスチックボトル
CN106542168A (zh) * 2017-01-24 2017-03-29 邬惠林 一种折叠水瓶
EP3136896A4 (fr) * 2014-04-28 2017-12-13 Hansen, Mads Jeppe Composant polymère
JP2018065622A (ja) * 2018-01-31 2018-04-26 ザ コカ・コーラ カンパニーＴｈｅ Ｃｏｃａ‐Ｃｏｌａ Ｃｏｍｐａｎｙ プラスチックボトル
JP2019177883A (ja) * 2018-03-30 2019-10-17 大日本印刷株式会社 プラスチックボトル
JP2019177882A (ja) * 2018-03-30 2019-10-17 大日本印刷株式会社 プラスチックボトル
USD871221S1 (en) 2018-01-18 2019-12-31 Graham Packaging Company, L.P. Container
WO2020018861A1 (fr) * 2018-07-19 2020-01-23 Graham Packaging Company, L.P. Récipient doté de nervures résistant au vide
WO2020153919A1 (fr) * 2019-01-22 2020-07-30 Kartonstand Ambalaj Tasarim Uygulama İmalat Reklamcilik Sanayi̇ Ve Ti̇caret Li̇mi̇ted Şi̇rketi̇ Objet publicitaire tridimensionnel auto-pliable sous forme de produit et procédé de pliage
JPWO2021161910A1 (fr) * 2020-02-10 2021-08-19
WO2021241483A1 (fr) * 2020-05-25 2021-12-02 国立大学法人九州大学 Procédé de conception de ligne de pliage, dispositif de conception et programme
DE102004047268B4 (de) 2003-09-26 2022-10-20 Konrad Franke Offene und rundum geschlossene Faltgefäße - ohne Stauchungen, ohne Knautschungen

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JP4625878B1 (ja) * 2010-08-18 2011-02-02 株式会社三宅デザイン事務所 衣服
US11814214B2 (en) * 2017-05-03 2023-11-14 Difold Inc. Collapsible article comprising combinations and multiplications of foldable sections
CN111232372B (zh) * 2020-01-20 2020-10-02 鹿啄泉矿泉水有限公司 可压缩的饮用水桶
CN112524471B (zh) * 2020-11-12 2022-03-22 汕头大学 一种带间隙的周期性结构

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Cited By (23)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
WO2002024531A1 (fr) * 2000-09-25 2002-03-28 Merler Ferruccio & Co. Sas-Kg Conteneurs et emballages compactables
WO2003059759A1 (fr) * 2001-12-28 2003-07-24 Daniela Bianchi Receptacle pliable rigide
DE102004047268B4 (de) 2003-09-26 2022-10-20 Konrad Franke Offene und rundum geschlossene Faltgefäße - ohne Stauchungen, ohne Knautschungen
FR2873353A1 (fr) * 2004-07-22 2006-01-27 Steve Gustave Technique de reduction de volume
JP2006256264A (ja) * 2005-03-18 2006-09-28 Shoji Tougeda 機能性クラフト
US7730925B1 (en) 2007-05-09 2010-06-08 Pereira Carlos E Collapsable screen and design method
EP2272761A1 (fr) * 2009-06-18 2011-01-12 Astrium Limited Structure extensible
US9714519B2 (en) 2009-06-18 2017-07-25 Astrium Limited Extendable structure
DE202013004500U1 (de) * 2013-05-15 2013-06-05 Panther Packaging Gmbh & Co. Kg Einteiliger Zuschnitt für individuelle Verpackungen und Displays
JP2015110438A (ja) * 2013-12-06 2015-06-18 ザ コカ・コーラ カンパニーＴｈｅ Ｃｏｃａ‐Ｃｏｌａ Ｃｏｍｐａｎｙ プラスチックボトル
EP3136896A4 (fr) * 2014-04-28 2017-12-13 Hansen, Mads Jeppe Composant polymère
CN106542168A (zh) * 2017-01-24 2017-03-29 邬惠林 一种折叠水瓶
USD871221S1 (en) 2018-01-18 2019-12-31 Graham Packaging Company, L.P. Container
JP2018065622A (ja) * 2018-01-31 2018-04-26 ザ コカ・コーラ カンパニーＴｈｅ Ｃｏｃａ‐Ｃｏｌａ Ｃｏｍｐａｎｙ プラスチックボトル
JP2019177883A (ja) * 2018-03-30 2019-10-17 大日本印刷株式会社 プラスチックボトル
JP2019177882A (ja) * 2018-03-30 2019-10-17 大日本印刷株式会社 プラスチックボトル
JP7446051B2 (ja) 2018-03-30 2024-03-08 大日本印刷株式会社 プラスチックボトル
JP7462379B2 (ja) 2018-03-30 2024-04-05 大日本印刷株式会社 プラスチックボトル
WO2020018861A1 (fr) * 2018-07-19 2020-01-23 Graham Packaging Company, L.P. Récipient doté de nervures résistant au vide
US11136159B2 (en) 2018-07-19 2021-10-05 Graham Packaging Company, L.P. Container with vacuum resistant ribs
WO2020153919A1 (fr) * 2019-01-22 2020-07-30 Kartonstand Ambalaj Tasarim Uygulama İmalat Reklamcilik Sanayi̇ Ve Ti̇caret Li̇mi̇ted Şi̇rketi̇ Objet publicitaire tridimensionnel auto-pliable sous forme de produit et procédé de pliage
JPWO2021161910A1 (fr) * 2020-02-10 2021-08-19
WO2021241483A1 (fr) * 2020-05-25 2021-12-02 国立大学法人九州大学 Procédé de conception de ligne de pliage, dispositif de conception et programme

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JPWO2001081821A1 (ja) 2004-01-08
JP3824540B2 (ja) 2006-09-20

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