CN112609899A - Rigid paper folding structure with special shape inside and outside - Google Patents

Rigid paper folding structure with special shape inside and outside Download PDF

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CN112609899A
CN112609899A CN202011426508.XA CN202011426508A CN112609899A CN 112609899 A CN112609899 A CN 112609899A CN 202011426508 A CN202011426508 A CN 202011426508A CN 112609899 A CN112609899 A CN 112609899A
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paper
paper folding
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CN112609899B (en
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白涌滔
王书宏
牟犇
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Chongqing University
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    • E—FIXED CONSTRUCTIONS
    • E04—BUILDING
    • E04C—STRUCTURAL ELEMENTS; BUILDING MATERIALS
    • E04C3/00—Structural elongated elements designed for load-supporting
    • E04C3/30—Columns; Pillars; Struts
    • E04C3/36—Columns; Pillars; Struts of materials not covered by groups E04C3/32 or E04C3/34; of a combination of two or more materials
    • 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
    • E04B1/62—Insulation or other protection; Elements or use of specified material therefor
    • E04B1/92—Protection against other undesired influences or dangers
    • E04B1/98—Protection against other undesired influences or dangers against vibrations or shocks; against mechanical destruction, e.g. by air-raids
    • E—FIXED CONSTRUCTIONS
    • E04—BUILDING
    • E04H—BUILDINGS OR LIKE STRUCTURES FOR PARTICULAR PURPOSES; SWIMMING OR SPLASH BATHS OR POOLS; MASTS; FENCING; TENTS OR CANOPIES, IN GENERAL
    • E04H9/00—Buildings, groups of buildings or shelters adapted to withstand or provide protection against abnormal external influences, e.g. war-like action, earthquake or extreme climate
    • E04H9/02—Buildings, groups of buildings or shelters adapted to withstand or provide protection against abnormal external influences, e.g. war-like action, earthquake or extreme climate withstanding earthquake or sinking of ground
    • E04H9/021—Bearing, supporting or connecting constructions specially adapted for such buildings

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  • Architecture (AREA)
  • Environmental & Geological Engineering (AREA)
  • Civil Engineering (AREA)
  • Structural Engineering (AREA)
  • Business, Economics & Management (AREA)
  • Emergency Management (AREA)
  • Physics & Mathematics (AREA)
  • Electromagnetism (AREA)
  • Folding Of Thin Sheet-Like Materials, Special Discharging Devices, And Others (AREA)

Abstract

The invention relates to the field of building structures, in particular to an internal and external special-shaped rigid paper folding structure. Including the inlayer sleeve, the intermediate level, outer paper tube, inlayer sleeve and outer paper tube all are axial confined tube-shape, inlayer sleeve and the coaxial setting of outer paper tube that rolls over, outer paper tube and the telescopic cross sectional shape of inlayer are different, the intermediate level is located between inlayer sleeve and the outer paper tube that rolls over, the intermediate level is the paper support layer that rolls over that forms by the folding paper of several rigidity paper rolls over, the inboard and the telescopic surface fixed connection of inlayer of paper support layer, the outside and the outer fixed surface who rolls over the paper tube of paper support layer are connected, the rigidity paper roll-over of paper support layer forms the basic unit that the cross-section is triangle-shaped between inlayer sleeve and outer paper tube that rolls over. When the building is subjected to an earthquake, the main structure is destroyed before the building is damaged, so that more earthquake energy is absorbed, and the main structure is protected; simple structure, the production preparation of being convenient for has shortened construction cycle greatly.

Description

Rigid paper folding structure with special shape inside and outside
Technical Field
The invention relates to the field of building structures, in particular to an internal and external special-shaped rigid paper folding structure.
Background
With the rapid development of economy in China in recent years, a large number of industrial buildings or civil buildings need to be built, so that a large number of traditional building materials need to be consumed, the construction cost is high, the construction period is long, and the construction process is complex.
The paper folding structure is a novel space structure developed in recent decades and has great development potential, and in recent years, the structure based on rigid paper folding is also widely applied to engineering and building design processes. The folded paper structure based on the rigid folded paper can be used as a support system of a main body structure in a building, and is damaged before the main body structure when the building encounters a strong earthquake, so that more earthquake energy is absorbed, the main body structure is protected from being damaged, and the building in a high-intensity earthquake area has stronger earthquake resistance.
With the increasing shortage of global resources in recent years, human beings face increasingly serious survival problems. Thus, the topic of immigration mars or other stars has also increased in recent years. In recent years, countries compete to launch more and more outer space exploration projects. And the folded paper structure based on the rigid folded paper also provides better prospect for building living house facilities of human beings in the foreign planet.
Disclosure of Invention
The invention aims to overcome the defects in the prior art, and provides an internal and external special-shaped rigid paper folding structure which can be used as a support system of a main body structure in a building, wherein the main body structure is damaged before the building encounters an earthquake, so that more earthquake energy is absorbed, and the main body structure is protected; and the structure is simple, the production and the manufacture are convenient, and the construction period is greatly shortened.
The technical scheme of the invention is as follows: the inner-outer special-shaped rigid paper folding structure comprises an inner-layer sleeve, a middle layer and an outer-layer paper folding cylinder, wherein the inner-layer sleeve and the outer-layer paper folding cylinder are both in a cylinder shape which is axially closed, the inner-layer sleeve is positioned in the outer-layer paper folding cylinder, the inner-layer sleeve and the outer-layer paper folding cylinder are coaxially arranged, the cross section shapes of the outer-layer paper folding cylinder and the inner-layer sleeve are different, the middle layer is positioned between the inner-layer sleeve and the outer-layer paper folding cylinder, the middle layer is a paper folding supporting layer formed by folding a plurality of rigid paper folding papers, the paper folding supporting layer is arranged along the axial height of the whole paper folding structure, the inner side of the paper folding supporting layer is fixedly connected with the outer surface of the inner-layer sleeve, the outer side of the paper folding supporting layer is fixedly connected with the inner surface of the outer-layer paper folding cylinder, two side edges of each rectangular paper folding working surface of the rigid paper folding of the paper folding supporting layer are respectively connected with the outer wall of the inner-layer;
the outer-layer paper folding cylinder is formed by folding rigid paper folds, and the two side edges of the rigid paper folds along the axial direction are fixedly connected.
When the paper folding supporting layer is fixedly connected with the inner sleeve and the outer paper folding cylinder in a welding mode, a plurality of welding seams are formed at the connecting parts of the paper folding supporting layer and the inner sleeve and the outer paper folding cylinder, and the welding seams are arranged along the axial height of the whole paper folding structure.
The inner layer sleeve can adopt a paper folding cylinder or a steel pipe column, and when the inner layer sleeve adopts the paper folding cylinder, the concrete is filled in the inner layer paper folding cylinder.
When the section of the inner sleeve is circular and the section of the outer paper folding cylinder is square, the paper folding supporting layer is formed by folding four rectangular rigid paper folds, after each rigid paper fold is folded, the rigid paper folds are uniformly and symmetrically arranged between each side face of the outer paper folding cylinder and the inner sleeve, the two sides of the rigid paper fold of the paper folding supporting layer along the axial direction are respectively connected with the side edges of the outer paper folding cylinder, two congruent rectangular rigid paper folding working faces which are tightly attached are arranged between each side edge of the outer paper folding cylinder and the inner sleeve, the rigid paper folds are sequentially folded forwards and backwards five times along the axial direction, five axial creases are formed on the rigid paper folds, the rigid paper folds are divided into six sections along the length direction, and the folded rigid paper folds are symmetrically arranged;
let the radius of the circular cross section of the inner sleeve be r1The side length of the square section of the outer folded paper cylinder is s1The end point a of one side of the section of the paper folding supporting layer is positioned at the vertex of the square section of the paper folding cylinder at the outer layer, and the first crease point b of the section of the paper folding supporting layer closest to the point a is positioned on the diagonal line of the square section of the paper folding cylinder at the outer layer and the circle of the sleeve at the inner layerLength L between points a and b at intersection of the cross-sectionsabComprises the following steps:
Figure BDA0002825094720000021
the connecting line of a second folding point c and a point b from the point a end is vertical to the side edge of the square section of the outer layer paper folding cylinder, and the length L between the point b and the point cbcComprises the following steps:
Figure BDA0002825094720000022
a third fold point d from the point a is positioned at a quadrant point of the circular section of the inner sleeve, the point d is opposite to a midpoint e of the side edge of the square section of the outer paper folding sleeve, and the length L between the point d and the point edeComprises the following steps:
Figure BDA0002825094720000023
length L between point c and point eceComprises the following steps:
Figure BDA0002825094720000024
length L between point c and point dcdComprises the following steps:
Figure BDA0002825094720000025
the length L of each rigid folded paper of the folding support layer is as follows:
L＝2Lab+2Lbc+2Lcd。
when the section of the inner sleeve is square and the section of the outer paper folding cylinder is circular, the paper folding supporting layer is formed by folding four rectangular rigid paper folds, each rigid paper fold is uniformly and symmetrically arranged between the outer paper folding cylinder and each side surface of the inner sleeve after being folded, two congruent rectangular rigid paper folding working surfaces which are tightly attached are arranged between each side edge of the inner sleeve and the outer paper folding cylinder, the rigid paper folds are sequentially folded forwards and backwards for seven times along the axial direction, seven axial creases are formed on the rigid paper folds, the rigid paper folds are divided into eight sections along the length direction, and the folded rigid paper folds are symmetrically arranged;
the radius of the circular section of the outer layer paper folding cylinder is r2The side length of the square section of the inner sleeve is s2The middle point of the side edge of the square section of the inner sleeve is a point f, the crease point g in the middle of the section of the paper folding supporting layer is positioned at the quadrant point of the circular section of the outer paper folding cylinder, the point g is opposite to the point f, and the length L between the point f and the point gfgComprises the following steps:
Figure BDA0002825094720000031
the end point of one side of the section of the paper folding supporting layer is a point k, the point k is positioned at the intersection point of the diagonal line of the square section of the inner layer sleeve and the circular section of the outer layer paper folding sleeve, the first folding point j of the section of the paper folding supporting layer closest to the point k is positioned at the vertex of the square section of the inner layer sleeve, the third folding point h of the section of the paper folding supporting layer closest to the point k is positioned at the middle point of the connection line of fj, and the length L between the point g and the point hghComprises the following steps:
Figure BDA0002825094720000032
a second fold point i point away from the k point end is positioned at the intersection point of the extension line of the side edge of the square section of the inner layer sleeve and the circular section of the outer layer paper folding sleeve, the midpoint of the side edge of the square section of the inner layer sleeve is a point L, and the length L between the point L and the point iliComprises the following steps:
Figure BDA0002825094720000033
length L between j and i pointsjiComprises the following steps:
Figure BDA0002825094720000034
length L between h and ihiComprises the following steps:
Figure BDA0002825094720000035
length L between j and kjkComprises the following steps:
Figure BDA0002825094720000036
the length L of each rigid folded paper of the folded paper supporting layer is as follows:
L＝2Lgh+2Lhi+2Lij+2Ljk。
when the section of the inner sleeve is regular triangle and the section of the outer paper folding cylinder is circular, the paper folding supporting layer is formed by folding three rectangular rigid paper folds, after each rigid paper fold is uniformly and symmetrically arranged between the side faces of the outer paper folding cylinder and the inner sleeve, the rigid paper folds are sequentially folded forwards and backwards for nine times along the axial direction, nine axial creases are formed on the rigid paper folds, the rigid paper folds are divided into ten sections along the length direction, and the folded rigid paper folds are symmetrically arranged;
the radius of the circular section of the outer layer paper folding cylinder is r3The side length of the regular triangle section of the inner sleeve is s3The crease m point at the middle part of the section of the paper folding supporting layer is positioned at the side middle point of the regular triangle section of the inner sleeve, the end point at one side of the section of the paper folding supporting layer is a point r, the first crease point q point of the section of the paper folding supporting layer closest to the point r is positioned at the top point of the regular triangle section of the inner sleeve, the third crease point y point at the end of the point r is positioned at the middle point of the mq connecting line, the fourth crease point n point at the end of the point r is positioned on the circular edge of the circular section of the outer paper folding cylinder, the n point is opposite to the middle point t point of the my connecting line, the second crease point p point at the end of the point r is positioned at the middle point t of the circular section of the outerOn the side, point p is opposite to the midpoint v of the yq connecting line, a straight line ox is a horizontal axis of the circular section of the outer-layer folded paper cylinder, point u is the intersection point of the extension line of a straight line nt and the straight line ox, point w is the intersection point of the extension line of a straight line pv and the straight line ox, and the length L of straight lines ut and wvutAnd LwvComprises the following steps:
Figure BDA0002825094720000041
length L between u point and n pointunComprises the following steps:
Figure BDA0002825094720000042
length L between point t and point ntnComprises the following steps:
Figure BDA0002825094720000043
the length of line mn is equal to that of line ny, LmnAnd LnyComprises the following steps:
Figure BDA0002825094720000044
length L between point w and point pwpComprises the following steps:
Figure BDA0002825094720000045
length L between v-point and p-pointvpComprises the following steps:
Figure BDA0002825094720000046
the length of the straight line yp is equal to that of the straight line pq, LypAnd LpqComprises the following steps:
Figure BDA0002825094720000047
the r point is positioned at the intersection point of the extension line of the regular triangle section side of the inner sleeve and the circular section of the outer paper folding sleeve, the s point is the middle point of the regular triangle section side of the inner sleeve, and the length L between the s point and the r pointsrComprises the following steps:
Figure BDA0002825094720000051
length L between point q and point rqrComprises the following steps:
Figure BDA0002825094720000052
the length L of each rigid folded paper of the folded paper supporting layer is as follows:
L＝2Lmn+2Lny+2Lyp+2Lpq+2Lqr。
the invention has the beneficial effects that:
(1) the construction period is shortened: all components in the paper folding structure are prefabricated in factories, the production and the manufacture are simple, the paper folding structure can be widely applied to an assembled building structure, the construction is simple, and the forming is convenient;
(2) and the construction cost is reduced: the paper folding structure is mainly formed by folding rigid paper folds, the price of the rigid paper folds is low, and the use of a large amount of traditional building materials is reduced.
(3) The earthquake resistance of the building is improved: the paper folding structure can be used as a support system of a main body structure in a building, and is damaged before the main body structure is damaged when the building encounters a strong earthquake, so that the main body structure is protected from being damaged, and the earthquake resistance of the building in a high-intensity earthquake area is improved.
Drawings
FIG. 1 is a perspective view of an inner and outer profile folding structure in example 1;
FIG. 2(a) is a plan view of the inner and outer contour folding structure in example 1;
FIG. 2(b) is a schematic cross-sectional view of a basic unit of a paper folding support layer of the inner and outer profile paper folding structure in example 1;
FIG. 3 is an expanded view of each rigid sheet of the folding support layer of example 1;
FIG. 4 is an expanded view of the inner-layer folding cylinder in embodiment 1;
FIG. 5 is an expanded view of the outer-layer folding paper tube in example 1;
FIG. 6 is a perspective view of an inner and outer profile folding structure in example 2;
FIG. 7(a) is a plan view of an inner and outer profile folding structure in example 2;
FIG. 7(b) is a schematic cross-sectional view of a basic unit of a paper folding support layer of the inner and outer profile paper folding structure in example 2;
FIG. 8 is an expanded view of each rigid sheet of the folding support layer of example 2;
FIG. 9 is an expanded view of the inner sheet folding cylinder in embodiment 2;
FIG. 10 is an expanded view of the outer-layer folding paper tube in embodiment 2;
FIG. 11 is a perspective view of an inner and outer irregularly shaped paper folding structure in example 3;
FIG. 12(a) is a plan view of an inner and outer contour folding structure in example 3;
FIG. 12(b) is a schematic cross-sectional view showing a basic unit of a paper folding support layer of the inner and outer profile paper folding structure in example 3;
FIG. 13 is an expanded view of each rigid sheet of the folding support layer of example 3;
FIG. 14 is an expanded view of the inner-layer folding cylinder in embodiment 3;
FIG. 15 is an expanded view of the outer-layer folding paper tube in example 3;
FIG. 16 is a perspective view of an inner and outer contour fold structure in example 4;
FIG. 17 is a perspective view of an inner-layer steel pipe column having a circular cross section in example 4;
FIG. 18 is a perspective view of an inner and outer contour fold structure in example 5;
FIG. 19 is a perspective view of an inner-layer steel pipe column having a square cross section in example 5;
FIG. 20 is a perspective view of an inner and outer contour fold structure in example 6;
fig. 21 is a perspective view of an inner-layer steel pipe column having a regular triangular cross section in example 6.
In the figure: 1, folding a paper tube on the inner layer; 2, folding paper supporting layer; 3, folding the paper tube on the outer layer; 4, concrete; 5 inner layer steel pipe column.
Detailed Description
In order to make the aforementioned objects, features and advantages of the present invention comprehensible, embodiments accompanied with figures are described in detail below.
In the following description, specific details are set forth in order to provide a thorough understanding of the present invention. The invention can be implemented in a number of ways different from those described herein and similar generalizations can be made by those skilled in the art without departing from the spirit of the invention. Therefore, the present invention is not limited to the specific embodiments disclosed below.
The internal and external special-shaped rigid paper folding structure comprises an inner layer sleeve, a middle layer and an outer layer paper folding cylinder, wherein the inner layer sleeve and the outer layer paper folding cylinder are both in axially closed cylinder shapes, the inner layer sleeve is positioned in the outer layer paper folding cylinder, and the inner layer sleeve and the outer layer paper folding cylinder are coaxially arranged, so that the cross section of the whole paper folding structure can be ensured to be symmetrical due to the coaxial arrangement, the stress is facilitated, and the construction is also facilitated. The intermediate level is located between inlayer sleeve and the outer paper folding section of thick bamboo that rolls over, and the intermediate level is based on the folding paper supporting layer that forms of rigidity paper folding, and the paper folding supporting layer leads to highly arranging along the axial height of whole paper folding structure, and the inboard and the telescopic surface fixed connection of inlayer of paper folding supporting layer, the outside and the outer internal surface fixed connection who rolls over the paper section of thick bamboo of paper folding supporting layer. Two side edges of each rectangular paper folding working surface of the rigid paper folding of the paper folding supporting layer are respectively connected with the outer wall of the inner-layer sleeve and the inner wall of the outer-layer paper folding cylinder.
The paper folding supporting layer is formed by folding at least one piece of rigid paper folding, preferably rectangular rigid paper folding, and is simple to produce and easy to construct. Because the triangle has stable property, the rigid paper folding of the paper folding supporting layer forms a basic unit with a triangular section between the inner layer sleeve and the outer layer paper folding cylinder, and the stability of the rigid paper folding structure is ensured. When the paper folding supporting layer is fixedly connected with the inner sleeve and the outer paper folding cylinder in a welding mode, a plurality of welding seams are formed at the connecting part of the paper folding supporting layer and the inner sleeve and the outer paper folding cylinder, and the welding seams are arranged along the axial height of the whole paper folding structure.
The outer-layer paper folding cylinder is formed by folding a rectangular rigid paper folding sheet, and two sides of the outer-layer paper folding cylinder along the axial direction are fixedly connected in a welding mode. In the invention, the section shapes of the outer layer paper folding cylinder and the inner layer sleeve are different. When the internal and external special-shaped rigid paper folding structures bear loads, because the cross section forms of the internal sleeve and the external paper folding cylinder are different, and the deformation capacities and deformation modes of the internal sleeve and the external paper folding cylinder are different, the internal sleeve and the external paper folding cylinder can generate non-cooperative deformation, so that the internal and external special-shaped rigid paper folding structures and the internal and external special-shaped rigid paper folding structures can buckle before the internal and external special-shaped rigid paper folding structures under the same stress condition, and the bearing capacity is lost. Therefore, the internal and external special-shaped rigid folded paper structure is generally applied to common building structures, and has important significance and wide application prospect in a plurality of fields such as aerospace and the like.
Example 1
As shown in fig. 1 to 5, the internal and external deformed rigid paper folding structure in this embodiment includes an inner layer paper folding cylinder 1, an outer layer paper folding cylinder 3, and a paper folding support layer 2 located between the inner layer paper folding cylinder and the outer layer paper folding cylinder, the inner layer paper folding cylinder 1 has a circular cross section, the outer layer paper folding cylinder 3 has a square cross section, and the inner layer paper folding cylinder 1 is filled with concrete 4. Therefore, the inner layer paper folding cylinder 1, the paper folding support layer 2 and the outer layer paper folding cylinder 3 in the embodiment are all formed by folding rigid paper folding. In the invention, the inner-layer paper folding cylinder 1 and the paper folding support layer 2 and the outer-layer paper folding cylinder 3 and the paper folding support layer 2 are fixedly connected in a welding mode, so that the fixed connection position of the inner-layer paper folding cylinder 1 and the paper folding support layer 2 and the fixed connection position of the outer-layer paper folding cylinder 3 and the paper folding support layer 2 are welding seams.
As shown in fig. 2(a), the axis of the inner layer paper folding cylinder 1 coincides with the axis of the outer layer paper folding cylinder 3, i.e. the center of the circular section of the inner layer paper folding cylinder 1 coincides with the center of the square section of the outer layer paper folding cylinder 3. The rigid folded paper of the folded paper supporting layer 2 forms a basic unit with a triangular section between the inner folded paper cylinder 1 and the outer folded paper cylinder 3. The paper folding supporting layer 2 of this embodiment is formed by folding the rigidity paper folding of four rectangles, and each rigidity paper folding is folded back and is evenly symmetrical arrangement between each side and the inlayer paper folding section of thick bamboo of outer paper folding section of thick bamboo respectively, every rigidity paper folding of paper folding supporting layer is connected with the side edge of outer paper folding section of thick bamboo respectively along axial both sides limit, every side edge and the inlayer paper folding section of thick bamboo of outer paper folding section of thick bamboo all are equipped with the rectangle rigidity paper folding working face of two congruent inseparable laminatings between, need not to connect between the working face of two laminatings. In this embodiment, each piece of rigid paper is folded in the manner shown in fig. 3, the rigid paper is folded in the axial direction sequentially in the forward and reverse directions five times, five axial creases are formed on the rigid paper, the rigid paper is divided into six sections along the length direction, and two side edges of the rigid paper are respectively connected with the side edges of the outer paper folding cylinder 3 along the axial direction. Since the folded rigid folded paper is symmetrically arranged, the lengths of the respective sections of the rigid folded paper are calculated by taking half of the rigid folded paper as an example, as shown in fig. 2 (b).
Let the radius of the circular section of the inner-layer paper folding cylinder 1 be r1The side length of the square section of the outer folded paper tube 3 is s1. The point a of the section of the paper folding supporting layer 2 is positioned at the vertex of the square section of the outer paper folding cylinder 3, the point b of the section of the paper folding supporting layer 2 is positioned at the intersection point of the diagonal line of the square section of the outer paper folding cylinder 3 and the circular section of the inner paper folding cylinder 1, and the length L between the point a and the point b is known from the geometrical relationshipabComprises the following steps:
Figure BDA0002825094720000071
the connecting line of the point c and the point b of the section of the paper folding supporting layer 2 is vertical to the side edge of the square section of the outer layer paper folding cylinder 3. From the geometrical relationship, the length L between the point b and the point cbcComprises the following steps:
Figure BDA0002825094720000081
the point d of the cross section of the paper folding supporting layer is positioned at the quadrant point of the circular cross section of the inner paper folding cylinder 1, and the point d is opposite to the point e of the middle point of the side edge of the square cross section of the outer paper folding cylinder 3. According to the geometric relationship, the length L between the point d and the point edeComprises the following steps:
Figure BDA0002825094720000082
length L between point c and point eceComprises the following steps:
Figure BDA0002825094720000083
length L between point c and point dcdComprises the following steps:
Figure BDA0002825094720000084
the cross section of the whole paper folding supporting layer is in a symmetrical state according to Lab、LbcAnd LcdThe lengths of other sections of rigid folded paper of the folded paper supporting layer can be obtained.
As described above, the paper folding support layer in this embodiment is formed by folding four rectangular rigid paper folds, the height of each rectangular rigid paper fold is equal to the height of the outer layer paper folding cylinder and the inner layer paper folding cylinder, and the length L of each rigid paper fold is:
L＝2Lab+2Lbc+2Lcd (6)
the inner layer paper folding cylinder 1 is formed by folding a rectangular rigid paper folding as shown in fig. 4, two sides of the rectangular rigid paper folding along the axial direction are fixedly connected in a welding mode, and the length of the rectangular rigid paper folding is 2 pi r1。
The outer layer folding cylinder 3 is formed by folding a rectangular rigid folding paper as shown in fig. 5, and the rectangular rigid folding paper is divided into four segments in equal halves along the length direction, whereinThe broken line represents a crease, two sides of the rectangular rigid folded paper along the axial direction are fixedly connected by welding, and the length of the rectangular rigid folded paper is 4s1。
In the invention, the folding structures of the paper folding support layers 2 are different, which causes the number of triangular units formed by the cross sections of the paper folding support layers 2 between the inner-layer paper folding cylinder 1 and the outer-layer paper folding cylinder 3 to be different, so that the folding structures of the paper folding support layers 2 are not limited to the folding structures disclosed in the embodiment, and can also be determined according to actual construction requirements. The more the number of the triangular units contained in the cross section of the paper folding support layer 2 between the inner paper folding cylinder 1 and the outer paper folding cylinder 3 is, the higher the rigid paper folding density between the inner paper folding cylinder 1 and the outer paper folding cylinder 3 is, and the better the overall bearing capacity of the paper folding structure is.
The rigid paper folding structure has simple processing method, and the length is 2 pi r1The rectangular rigid paper folding is folded into an inner layer paper folding cylinder 1 with a circular section, and two side edges of the inner layer paper folding cylinder are connected through welding seams; then, the paper folding supporting layer 2 is welded and fixed on the outer side wall of the inner paper folding cylinder 1 in sequence, and welding is carried out according to the preset welding seam position in the welding process; secondly, welding and fixing the outer-layer paper folding cylinder 3 and the paper folding support layer 2 in sequence, and welding according to a preset welding seam position in the welding process; and finally, pouring concrete in the inner-layer paper folding cylinder 1.
Example 2
As shown in fig. 6 to 10, unlike embodiment 1, first, the section of the inner layer paper folding cylinder 1 in this embodiment is square, and the section of the outer layer paper folding cylinder 3 is circular, but the inner layer paper folding cylinder 1 and the outer layer paper folding cylinder 3 are coaxially arranged although the section shapes are different; next, the folding structure of the paper folding support layer 2 in this embodiment is different from that in embodiment 1. As shown in fig. 7(a), the axis of the inner layer folding cylinder 1 coincides with the axis of the outer layer folding cylinder 3, and the paper folding support layer 2 forms a basic unit with a triangular cross section between the inner layer folding cylinder 1 and the outer layer folding cylinder 3. In this embodiment, the paper folding supporting layer 2 is also formed by folding four rectangular rigid paper folds, each rigid paper fold is uniformly and symmetrically arranged between each side of the outer paper folding cylinder and each side of the inner paper folding cylinder after being folded, two congruent rectangular rigid paper folding working faces tightly attached are arranged between each side edge of the inner paper folding cylinder and the outer paper folding cylinder, and the two attached working faces do not need to be connected. Each piece of rigid folded paper is folded in a manner of being reversed and folded seven times in sequence along the axial direction as shown in fig. 8, seven axial creases are formed on the rigid folded paper, and the rigid folded paper is divided into eight sections along the length direction. Since the folded rigid folded paper is symmetrically arranged, the lengths of the respective sections of the rigid folded paper are calculated by taking half of the rigid folded paper as an example, as shown in fig. 7 (b).
The side length of the square section of the inner layer paper folding cylinder 1 is s2The radius of the circular section of the outer layer paper folding cylinder 3 is r2. The point f is the middle point of the side edge of the square section of the inner paper folding cylinder, the point g of the section of the paper folding supporting layer 2 is positioned at the quadrant point of the circular section of the outer paper folding cylinder 3, the point g is opposite to the point f, and the length L between the point f and the point g is known from the geometrical relationshipfgComprises the following steps:
Figure BDA0002825094720000091
the point j of the section of the paper folding supporting layer is positioned at the vertex of the square section of the inner paper folding cylinder, the point h of the section of the paper folding supporting layer is positioned at the midpoint of the fj connecting line, and the length L between the point g and the point h is known from the geometrical relationshipghComprises the following steps:
Figure BDA0002825094720000092
the point i of the cross section of the paper folding supporting layer is positioned at the intersection point of the extension line of the square cross section side of the inner paper folding cylinder and the circular cross section of the outer paper folding cylinder, namely the ij connecting line is positioned on the extension line of the square cross section side of the inner paper folding cylinder, the point L is the middle point of the square cross section side of the inner paper folding cylinder, and the length L between the point L and the point i is known from the geometric relationshipliComprises the following steps:
Figure BDA0002825094720000093
thus the length L between the j point and the i pointjiComprises the following steps:
Figure BDA0002825094720000101
therefore, the length L between the h point and the i point can be known from the geometrical relationshiphiComprises the following steps:
Figure BDA0002825094720000102
the point k of the cross section of the paper folding supporting layer is positioned at the intersection point of the diagonal line of the square cross section of the paper folding cylinder at the inner layer and the circular cross section of the paper folding cylinder at the outer layer, and the length L between the point j and the point k is known from the geometrical relationshipjkComprises the following steps:
Figure BDA0002825094720000103
since the cross section of the entire paper folding support layer is in a symmetrical state, according to Lgh、Lhi、LijAnd LjkThe lengths of other sections of rigid folded paper of the folded paper supporting layer can be obtained.
As described above, the paper folding support layer in this embodiment is formed by folding four rectangular rigid paper folds, the height of each rectangular rigid paper fold is equal to the height of the outer layer paper folding cylinder and the inner layer paper folding cylinder, and the length L of each rigid paper fold is:
L＝2Lgh+2Lhi+2Lij+2Ljk (13)
the inner-layer paper folding cylinder 1 is formed by folding rectangular rigid paper folding as shown in fig. 9, the rectangular rigid paper folding is equally divided into four sections along the length direction, two axial side edges of the rectangular rigid paper folding are fixedly connected in a welding mode, and the length of the rectangular rigid paper folding is 4s2。
The outer folded paper tube 3 is formed by folding a rectangular rigid folded paper as shown in fig. 10The two sides of the rectangular rigid folded paper along the axial direction are fixedly connected in a welding mode, and the length of the rectangular rigid folded paper is 2 pi r2。
The rest is the same as example 1.
Example 3
As shown in fig. 11 to 15, the sectional form of the inner layer paper folding cylinder 1 in the present embodiment is regular triangle, the sectional form of the outer layer paper folding cylinder 3 is circular, and the inner layer paper folding cylinder 1 and the outer layer paper folding cylinder 3 are still coaxially arranged. As shown in fig. 12(a), the axis of the inner-layer folding cylinder 1 coincides with the axis of the outer-layer folding cylinder 3, and the folding supporting layer 2 forms a basic unit with a triangular cross section between the inner-layer folding cylinder 1 and the outer-layer folding cylinder 3. In this embodiment, the paper folding support layer 2 is formed by folding three rectangular rigid paper folds, and after each rigid paper fold is folded, the rigid paper folds are respectively and uniformly and symmetrically arranged between the side surfaces of the outer layer paper folding cylinder and the inner layer paper folding cylinder. Each piece of rigid folded paper is folded in a manner shown in fig. 13, the rigid folded paper is sequentially folded in a positive and negative direction for nine times along the axial direction, nine axial creases are formed on the rigid folded paper, and the rigid folded paper is divided into ten sections along the length direction. Since the folded rigid folded paper is symmetrically arranged, the lengths of the respective sections of the rigid folded paper are calculated by taking half of the rigid folded paper as an example, as shown in fig. 12 (b).
The side length of the regular triangle section of the inner layer paper folding cylinder 1 is s3The radius of the circular section of the outer layer paper folding cylinder 3 is r3. The m point of the section of the paper folding supporting layer is positioned at the middle point of the side edge of the regular triangle section of the inner paper folding cylinder; the q point of the section of the paper folding supporting layer is positioned at the vertex of the regular triangle section of the inner paper folding cylinder; the y point of the paper folding supporting layer is positioned at the midpoint of the mq connecting line; the n point of the section of the paper folding supporting layer is positioned on the circular edge of the circular section of the outer paper folding cylinder, and the n point is opposite to the t point of the midpoint of the my connecting line; the point p of the section of the paper folding supporting layer is positioned on the circular side of the circular section of the outer paper folding cylinder, the point p is opposite to the point v of the midpoint of the yq connecting line, the straight line ox is the horizontal axis of the circular section of the outer paper folding cylinder, the point u is the intersection point of the extension line of the straight line nt and the straight line ox, and the point w is the intersection point of the extension line of the straight line pv and the straight line ox.
According to the geometric relationship, the center o point of the section of the whole paper folding structure is connected with the right three points of the inner layer paper folding cylinderThe perpendicular distance of the sides of the angular section, i.e. the length L of the straight lines ut and wvutAnd LwvComprises the following steps:
Figure BDA0002825094720000111
according to the geometrical relationship, the length L between the u point and the n pointunComprises the following steps:
Figure BDA0002825094720000112
from the geometrical relationship, the length L between the t point and the n pointtnComprises the following steps:
Figure BDA0002825094720000113
from the geometric relationship, the length of line mn is equal to that of line ny, LmnAnd LnyComprises the following steps:
Figure BDA0002825094720000114
from the geometrical relationship, the length L between point w and point pwpComprises the following steps:
Figure BDA0002825094720000115
from the geometrical relationship, the length L between the v-point and the p-pointvpComprises the following steps:
Figure BDA0002825094720000116
as can be seen from the geometric relationship, the length of the straight line yp is equal to that of the straight line pq, and LypAnd LpqComprises the following steps:
Figure BDA0002825094720000117
the point r of the section of the paper folding supporting layer is positioned at the intersection point of the extension line of the regular triangle section side of the inner paper folding cylinder and the circular section of the outer paper folding cylinder, namely the point q and the point r are both positioned on the extension line of the regular triangle section side of the inner paper folding cylinder, the point s is the middle point of the regular triangle section side of the inner paper folding cylinder, and the length L between the point s and the point r is known from the geometric relationshipsrComprises the following steps:
Figure BDA0002825094720000121
thus the length L between the q point and the r pointqrComprises the following steps:
Figure BDA0002825094720000122
since the cross section of the entire paper folding support layer is in a symmetrical state, according to Lmn、Lny、Lyp、LpqAnd LqrThe lengths of other sections of rigid folded paper of the folded paper supporting layer can be obtained.
As described above, the paper folding support layer in this embodiment is formed by folding three rectangular rigid paper folds, the height of each rectangular rigid paper fold is equal to the height of the outer layer paper folding cylinder and the inner layer paper folding cylinder, and the length L of each rigid paper fold is:
L＝2Lmn+2Lny+2Lyp+2Lpq+2Lqr (23)
the inner-layer paper folding cylinder 1 is formed by folding rectangular rigid paper folding as shown in fig. 14, the rectangular rigid paper folding is equally divided into three sections along the length direction, two axial side edges of the rectangular rigid paper folding are fixedly connected in a welding mode, and the length of the rectangular rigid paper folding is 3s3。
The outer-layer folded paper tube 3 is formed by folding a rectangular rigid folded paper as shown in fig. 15, the two sides of the rectangular rigid folded paper along the axial direction are fixedly connected by welding, and the rectangular rigid folded paper is rectangularThe length of the rigid folded paper is 2 pi r3。
The rest is the same as example 1.
Example 4
As shown in fig. 16 and 17, unlike example 1, in this example, an inner-layer steel pipe column 5 was used instead of the inner-layer paper folding tube in example 1, and a thin-walled steel pipe was used as the inner-layer steel pipe column 5.
When the inner-layer paper folding cylinder is adopted, concrete needs to be poured in the inner-layer paper folding cylinder. When the inner-layer paper folding cylinder is adopted and concrete is poured, the hooping effect of the inner-layer paper folding cylinder on the concrete in the stress process of the whole paper folding structure enables the concrete to be in a multidirectional pressed state, so that the ultimate strength of the concrete is improved, and the plasticity and the toughness are greatly improved; meanwhile, the supporting effect of the concrete can avoid or delay the local buckling of the paper folding cylinder, and the performance of the paper folding cylinder can be fully exerted. The paper folding cylinder and the concrete are mutually constrained and work together, the overall performance of the member is improved, and the steel plate has the advantages of high bearing capacity, good ductility and good anti-seismic performance and the like. When the inner-layer steel pipe column is adopted, the overall performance of the paper folding structure is relatively poorer than that of the paper folding structure adopting the inner-layer paper folding cylinder and pouring concrete.
From the above, no matter bearing capacity, ductility or anti-seismic performance, the paper folding structure adopting the inner-layer paper folding cylinder and pouring concrete is superior to the paper folding structure adopting the inner-layer steel pipe column. Therefore, the paper folding structure adopting the inner layer paper folding cylinder and pouring concrete can be applied to high-rise buildings or super high-rise buildings and large-span building structures, and the paper folding structure adopting the inner layer steel pipe column is generally applied to common building structures.
The rest is the same as example 1.
Example 5
As shown in fig. 18 and 19, unlike example 2, in this example, an inner-layer steel pipe column 5 was used instead of the inner-layer paper folding tube in example 2, and a thin-walled steel pipe was used as the inner-layer steel pipe column 5.
When the inner-layer paper folding cylinder is adopted, concrete needs to be poured in the inner-layer paper folding cylinder. When the inner-layer paper folding cylinder is adopted and concrete is poured, the hooping effect of the inner-layer paper folding cylinder on the concrete in the stress process of the whole paper folding structure enables the concrete to be in a multidirectional pressed state, so that the ultimate strength of the concrete is improved, and the plasticity and the toughness are greatly improved; meanwhile, the supporting effect of the concrete can avoid or delay the local buckling of the paper folding cylinder, and the performance of the paper folding cylinder can be fully exerted. The paper folding cylinder and the concrete are mutually constrained and work together, the overall performance of the member is improved, and the steel plate has the advantages of high bearing capacity, good ductility and good anti-seismic performance and the like. When the inner-layer steel pipe column is adopted, the overall performance of the paper folding structure is relatively poorer than that of the paper folding structure adopting the inner-layer paper folding cylinder and pouring concrete.
From the above, no matter bearing capacity, ductility or anti-seismic performance, the paper folding structure adopting the inner-layer paper folding cylinder and pouring concrete is superior to the paper folding structure adopting the inner-layer steel pipe column. Therefore, the paper folding structure adopting the inner layer paper folding cylinder and pouring concrete can be applied to high-rise buildings or super high-rise buildings and large-span building structures, and the paper folding structure adopting the inner layer steel pipe column is generally applied to common building structures.
The rest is the same as example 2.
Example 6
As shown in fig. 20 and 21, unlike example 3, in this example, an inner-layer steel pipe column 5 was used instead of the inner-layer paper folding tube in example 3, and a thin-walled steel pipe was used as the inner-layer steel pipe column 5.
When the inner-layer paper folding cylinder is adopted, concrete needs to be poured in the inner-layer paper folding cylinder. When the inner-layer paper folding cylinder is adopted and concrete is poured, the hooping effect of the inner-layer paper folding cylinder on the concrete in the stress process of the whole paper folding structure enables the concrete to be in a multidirectional pressed state, so that the ultimate strength of the concrete is improved, and the plasticity and the toughness are greatly improved; meanwhile, the supporting effect of the concrete can avoid or delay the local buckling of the paper folding cylinder, and the performance of the paper folding cylinder can be fully exerted. The paper folding cylinder and the concrete are mutually constrained and work together, the overall performance of the member is improved, and the steel plate has the advantages of high bearing capacity, good ductility and good anti-seismic performance and the like. When the inner-layer steel pipe column is adopted, the overall performance of the paper folding structure is relatively poorer than that of the paper folding structure adopting the inner-layer paper folding cylinder and pouring concrete.
From the above, no matter bearing capacity, ductility or anti-seismic performance, the paper folding structure adopting the inner-layer paper folding cylinder and pouring concrete is superior to the paper folding structure adopting the inner-layer steel pipe column. Therefore, the paper folding structure adopting the inner layer paper folding cylinder and pouring concrete can be applied to high-rise buildings or super high-rise buildings and large-span building structures, and the paper folding structure adopting the inner layer steel pipe column is generally applied to common building structures.
The rest is the same as example 3.
In the present invention, the cross-sectional shape of the outer layer paper folding tube is not limited to the circular or square shape in the above embodiments, and the cross-sectional shape of the inner layer sleeve is not limited to the circular, square or regular triangle shape in the above embodiments, as long as the cross-sectional shapes of the outer layer paper folding tube and the inner layer sleeve are different. In actual work, the folding mode of the rigid folded paper of the folded paper supporting layer is designed according to work requirements, the size of each rectangular folded paper working face of the folded rigid folded paper can be obtained according to the sizes of the outer folded paper cylinder and the inner sleeve and the folding mode of the rigid folded paper of the folded paper supporting layer, the rigid folded paper is accurately folded according to the size and the designed folding mode, then the folded rigid folded paper is accurately connected with a preset designed specified position, and the integral installation of the folded paper structure can be realized.
The rigid paper folding structure with the inner and outer special shapes provided by the invention is described in detail above. The principles and embodiments of the present invention are explained herein using specific examples, which are presented only to assist in understanding the method and its core concepts. It should be noted that, for those skilled in the art, it is possible to make various improvements and modifications to the present invention without departing from the principle of the present invention, and those improvements and modifications also fall within the scope of the claims of the present invention. The previous description of the disclosed embodiments is provided to enable any person skilled in the art to make or use the present invention. Various modifications to these embodiments will be readily apparent to those skilled in the art, and the generic principles defined herein may be applied to other embodiments without departing from the spirit or scope of the invention. Thus, the present invention is not intended to be limited to the embodiments shown herein but is to be accorded the widest scope consistent with the principles and novel features disclosed herein.

Claims (6)

1. The utility model provides an inside and outside dysmorphism rigidity paper folding structure which characterized in that: comprises an inner layer sleeve and an intermediate layer, the paper folding device comprises an outer layer paper folding cylinder, an inner layer sleeve and an outer layer paper folding cylinder, wherein the inner layer sleeve and the outer layer paper folding cylinder are both in a cylinder shape which is axially closed, the inner layer sleeve is positioned in the outer layer paper folding cylinder, the inner layer sleeve and the outer layer paper folding cylinder are coaxially arranged, the cross section shapes of the outer layer paper folding cylinder and the inner layer sleeve are different, a middle layer is positioned between the inner layer sleeve and the outer layer paper folding cylinder, the middle layer is a paper folding supporting layer formed by folding a plurality of rigid folded papers, the paper folding supporting layer is arranged along the axial height of the whole paper folding structure in a high-through mode, the inner side of the paper folding supporting layer is fixedly connected with the outer surface of the inner layer sleeve, the outer side of the paper folding supporting layer is fixedly connected with the inner surface of the outer layer paper folding cylinder, two side edges of each rectangular paper folding working surface of the rigid folded paper folding of the paper folding supporting layer are respectively connected with the outer wall;
the outer-layer paper folding cylinder is formed by folding rigid paper folds, and the two side edges of the rigid paper folds along the axial direction are fixedly connected.
2. The inside and outside profile rigid paper folding structure according to claim 1, characterized in that: when the paper folding supporting layer is fixedly connected with the inner sleeve and the outer paper folding cylinder in a welding mode, a plurality of welding seams are formed at the connecting parts of the paper folding supporting layer and the inner sleeve and the outer paper folding cylinder, and the welding seams are arranged along the axial height of the whole paper folding structure.
3. The inside and outside profile rigid paper folding structure according to claim 1, characterized in that: the inner-layer sleeve is a folded paper tube or a steel pipe column, and when the inner-layer sleeve is the folded paper tube, concrete is filled in the inner-layer folded paper tube.
4. The inside and outside profile rigid paper folding structure according to claim 1, characterized in that: when the section of the inner sleeve is circular and the section of the outer paper folding cylinder is square, the paper folding supporting layer is formed by folding four rectangular rigid paper folds, after each rigid paper fold is folded, the rigid paper folds are uniformly and symmetrically arranged between each side face of the outer paper folding cylinder and the inner sleeve, two axial side edges of the rigid paper folds of the paper folding supporting layer are respectively connected with the side edges of the outer paper folding cylinder, two congruent rectangular rigid paper folding working faces which are tightly attached are arranged between each side edge of the outer paper folding cylinder and the inner sleeve, the rigid paper folds are sequentially folded forwards and backwards five times along the axial direction, five axial creases are formed on the rigid paper folds, the rigid paper folds are divided into six sections along the length direction, and the folded rigid paper folds are symmetrically arranged;
let the radius of the circular cross section of the inner sleeve be r1The side length of the square section of the outer folded paper cylinder is s1The end point a of one side of the section of the paper folding supporting layer is positioned at the vertex of the square section of the outer paper folding cylinder, the first crease point b of the section of the paper folding supporting layer closest to the point a is positioned at the intersection point of the diagonal line of the square section of the outer paper folding cylinder and the circular edge of the circular section of the inner sleeve, and the length L between the point a and the point babComprises the following steps:
Figure FDA0002825094710000011
the connecting line of a second folding point c and a point b from the point a end is vertical to the side edge of the square section of the outer layer paper folding cylinder, and the length L between the point b and the point cbcComprises the following steps:
Figure FDA0002825094710000012
a third fold point d from the point a is positioned at a quadrant point of the circular section of the inner sleeve, the point d is opposite to a midpoint e of the side edge of the square section of the outer paper folding sleeve, and a position between the point d and the point eLength LdeComprises the following steps:
Figure FDA0002825094710000021
length L between point c and point eceComprises the following steps:
Figure FDA0002825094710000022
length L between point c and point dcdComprises the following steps:
Figure FDA0002825094710000023
the length L of each rigid folded paper of the folding support layer is as follows:
L＝2Lab+2Lbc+2Lcd。
5. the inside and outside profile rigid paper folding structure according to claim 1, characterized in that: when the section of the inner sleeve is square and the section of the outer paper folding cylinder is circular, the paper folding supporting layer is formed by folding four rectangular rigid paper folds, each rigid paper fold is uniformly and symmetrically arranged between the outer paper folding cylinder and each side surface of the inner sleeve after being folded, two congruent rectangular rigid paper folding working surfaces which are tightly attached are arranged between each side edge of the inner sleeve and the outer paper folding cylinder, the rigid paper folds are sequentially folded forwards and backwards for seven times along the axial direction, seven axial creases are formed on the rigid paper folds, the rigid paper folds are divided into eight sections along the length direction, and the folded rigid paper folds are symmetrically arranged;
the radius of the circular section of the outer layer paper folding cylinder is r2The side length of the square section of the inner sleeve is s2The middle point of the side edge of the square section of the inner sleeve is a point f, the crease point g in the middle of the section of the paper folding supporting layer is positioned at the quadrant point of the circular section of the outer paper folding cylinder, the point g is opposite to the point f, and the point f and the point g are positioned between the pointsLength LfgComprises the following steps:
Figure FDA0002825094710000024
the end point of one side of the section of the paper folding supporting layer is a point k, the point k is positioned at the intersection point of the diagonal line of the square section of the inner layer sleeve and the circular edge of the circular section of the outer layer paper folding sleeve, the first folding point j of the section of the paper folding supporting layer closest to the point k is positioned at the vertex of the square section of the inner layer sleeve, the third folding point h of the section of the paper folding supporting layer closest to the point k is positioned at the midpoint of the fj connecting line, and the length L between the point g and the point hghComprises the following steps:
Figure FDA0002825094710000025
a second fold point i point away from the k point end is positioned at the intersection point of the extension line of the side edge of the square section of the inner layer sleeve and the circular section of the outer layer paper folding sleeve, the midpoint of the side edge of the square section of the inner layer sleeve is a point L, and the length L between the point L and the point iliComprises the following steps:
Figure FDA0002825094710000031
length L between j and i pointsjiComprises the following steps:
Figure FDA0002825094710000032
length L between h and ihiComprises the following steps:
Figure FDA0002825094710000033
length L between j and kjkComprises the following steps:
Figure FDA0002825094710000034
the length L of each rigid folded paper of the folded paper supporting layer is as follows:
L＝2Lgh+2Lhi+2Lij+2Ljk。
6. the inside and outside profile rigid paper folding structure according to claim 1, characterized in that: when the section of the inner sleeve is regular triangle and the section of the outer paper folding cylinder is circular, the paper folding supporting layer is formed by folding three rectangular rigid paper folds, after each rigid paper fold is uniformly and symmetrically arranged between the side faces of the outer paper folding cylinder and the inner sleeve, the rigid paper folds are sequentially folded forwards and backwards for nine times along the axial direction, nine axial creases are formed on the rigid paper folds, the rigid paper folds are divided into ten sections along the length direction, and the folded rigid paper folds are symmetrically arranged;
the radius of the circular section of the outer layer paper folding cylinder is r3The side length of the regular triangle section of the inner sleeve is s3The m point of a crease mark positioned in the middle of the section of the paper folding supporting layer is positioned at the middle point of the side edge of the regular triangle section of the inner sleeve, the end point of one side of the section of the paper folding supporting layer is a point r, the q point of a first crease mark of the section of the paper folding supporting layer closest to the point r is positioned at the top point of the regular triangle section of the inner sleeve, the y point of a third crease mark at the end of the point r is positioned at the middle point of the mq connecting line, the n point of a fourth crease mark at the end of the point r is positioned on the circular side of the circular section of the paper folding cylinder, the point n is opposite to the point t of the middle point of the my connecting line, the point p of a second folding point at the end of the point r is positioned on the circular edge of the circular section of the outer layer paper folding cylinder, and point p is opposite to the midpoint v of the yq connecting line, a straight line ox is a horizontal axis of the circular section of the outer-layer folded paper cylinder, point u is an intersection point of an extension line of a straight line nt and the straight line ox, point w is an intersection point of an extension line of a straight line pv and the straight line ox, and the lengths L of the straight lines ut and wv are obtained.utAnd LwvComprises the following steps:
Figure FDA0002825094710000035
length L between u point and n pointunComprises the following steps:
Figure FDA0002825094710000036
length L between point t and point ntnComprises the following steps:
Figure FDA0002825094710000041
the length of line mn is equal to that of line ny, LmnAnd LnyComprises the following steps:
Figure FDA0002825094710000042
length L between point w and point pwpComprises the following steps:
Figure FDA0002825094710000043
length L between v-point and p-pointvpComprises the following steps:
Figure FDA0002825094710000044
the length of the straight line yp is equal to that of the straight line pq, LypAnd LpqComprises the following steps:
Figure FDA0002825094710000045
the r point is positioned at the intersection point of the extension line of the regular triangle section side of the inner sleeve and the circular section of the outer paper folding sleeve, the s point is the middle point of the regular triangle section side of the inner sleeve, and the s point and the r point areLength L ofsrComprises the following steps:
Figure FDA0002825094710000046
length L between point q and point rqrComprises the following steps:
Figure FDA0002825094710000047
the length L of each rigid folded paper of the folded paper supporting layer is as follows:
L＝2Lmn+2Lny+2Lyp+2Lpq+2Lqr。
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