CN113107091B - Elastic structure - Google Patents
Elastic structure Download PDFInfo
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- CN113107091B CN113107091B CN202110409862.XA CN202110409862A CN113107091B CN 113107091 B CN113107091 B CN 113107091B CN 202110409862 A CN202110409862 A CN 202110409862A CN 113107091 B CN113107091 B CN 113107091B
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- 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
- E04B1/32—Arched structures; Vaulted structures; Folded structures
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- 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
- E04B1/32—Arched structures; Vaulted structures; Folded structures
- E04B1/3211—Structures with a vertical rotation axis or the like, e.g. semi-spherical structures
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- 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
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- E—FIXED CONSTRUCTIONS
- E04—BUILDING
- E04B—GENERAL BUILDING CONSTRUCTIONS; WALLS, e.g. PARTITIONS; ROOFS; FLOORS; CEILINGS; INSULATION OR OTHER PROTECTION OF BUILDINGS
- E04B7/00—Roofs; Roof construction with regard to insulation
- E04B7/14—Suspended roofs
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- 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
- E04B1/32—Arched structures; Vaulted structures; Folded structures
- E04B2001/3235—Arched structures; Vaulted structures; Folded structures having a grid frame
Abstract
The invention discloses an elastic structure, which comprises X first lines extending along a first direction and Y second lines extending along a second direction, wherein the first lines and the second lines are provided with cross points, a first included angle is formed between the first direction and the vertical direction, the first included angle is larger than 0 degree, and the second direction is the horizontal direction; y is a positive integer greater than 2, and X is a positive integer greater than or equal to 3; at the location of the intersection point, the second line comprises a first point and a second point between which the hollow helix is formed, the second line passing through the hollow helix; in the elastic structure of the present invention, the first and second threads do not have separate elasticity, but when they are woven together, the elasticity occurs by means of weaving, which is a constant angle spiral, and the entire structure can move in a vertical direction due to the constant angle spiral having the same characteristics as a spring, having elasticity.
Description
Technical Field
The invention relates to the field of building materials, in particular to an elastic structure.
Background
The spiral shape is popular in nature, and the spiral shape can solve the basic problem of spiral growth, which allows the growth pattern of animals and plants to be expanded without changing the basic shape. In this way, the organism can develop in harmony, for example, all the sprouts can enjoy the sun all day long due to the equiangular spiral arrangement of the branches and leaves. As described by darcy thoxpson (D' Arcy ThoXpsoY), the formation of different organisms in nature is due to different growth rates caused by accumulation, and the logarithmic growth pattern (equidistant helical pattern) is the simplest method for plants or animals. Thus, as the organism grows, a series of successive fragments will be displayed and the entire growth process will be completed by repeating these fragments. Therefore, animals and plants maintain a constant shape in nature. Based on this sequential similarity of equiangular helical growth, stress remains constant in different directions as the organism grows, so that offspring can inherit the largest characteristics.
However, the prior art does not apply the equiangular spiral structure to the production life, so it is highly desirable to provide a resilient structure formed by using the equiangular spiral pattern.
Disclosure of Invention
In view of the above, the present invention provides an elastic structure, including X first lines extending along a first direction and Y second lines extending along a second direction, where the first lines and the second lines have intersections, the first direction and a vertical direction have a first included angle, the first included angle is greater than 0 °, and the second direction is a horizontal direction;
wherein Y is a positive integer greater than 2, and X is a positive integer greater than or equal to 3;
at the location of the intersection point, the second line comprises a first point and a second point between which a hollow spiral is formed, the second line passing through the hollow spiral;
the orthographic projection of each second line on the horizontal plane is annular, the perimeter of the 1 st second line is different from the perimeter of the Y th second line, and the distance between every two adjacent second lines is larger than 0 in the vertical direction;
the first line is arc-shaped;
the intersection point of the 1 st first line and the 1 st second line is A1, the intersection point of the 2 nd first line and the 2 nd second line is A2, …, the intersection point of the X-th first line and the Y-th second line is AX, and connecting lines of A1, A2, … and AX form a logarithmic spiral;
the intersection point of the 2 nd first line and the 1 st second line is B1, the intersection point of the 3 rd first line and the 2 nd second line is B2, …, the intersection point of the 1 st first line and the Y th second line is BX, and the connecting lines of the B1, the B2, the … and the BX form a logarithmic spiral;
…
the crossing point of the X-th first line and the first second line is X1, the crossing point of the 1 st first line and the 2 second lines is X2, …, the crossing point of the X-1 st first line and the Y second lines is XX, and the connecting lines of X1, X2, … and XX form a logarithmic spiral.
Optionally, when the second thread is woven, the first point is placed close to the first thread, and the first thread is rotated counterclockwise to form the hollow spiral portion.
Optionally, the first line includes a metal line, and the second line includes a nylon line.
Optionally, the second thread comprises a single nylon thread, or a plurality of nylon threads.
Alternatively, when the second wire includes a plurality of nylon wires, each of the nylon wires is wound in a spiral shape at a predetermined lead angle and pitch to constitute the second wire.
Optionally, X is between 3 and 16.
Optionally, the outer surface of the first and/or second wire is coated with a titanium dioxide coating. .
The present invention can explain the flexibility of the structure for two reasons. One is because each fiber is connected by a spiral braid and the other is because the connection between the two wires will spiral, which when put together will give rise to elasticity.
Compared with the prior art, the elastic structure provided by the invention at least realizes the following beneficial effects:
in the elastic structure of the present invention, the first and second threads do not have separate elasticity, but when they are woven together, the elasticity occurs by means of weaving, which is an equiangular spiral, and the entire structure can move in a vertical direction due to the equiangular spiral having the same characteristics as a spring, with elasticity, and the structure can be used in the field of construction and the like.
Of course, it is not necessary for any product in which the invention is practiced to achieve all of the above-described technical effects simultaneously.
Other features of the present invention and advantages thereof will become apparent from the following detailed description of exemplary embodiments of the invention, which proceeds with reference to the accompanying drawings.
Drawings
The accompanying drawings, which are incorporated in and constitute a part of this specification, illustrate embodiments of the invention and together with the description, serve to explain the principles of the invention.
FIG. 1 is a schematic view of an elastic structure provided by the present invention;
FIG. 2 is an enlarged view of a portion of FIG. 1;
FIG. 3 is a top view of FIG. 1;
FIG. 4 is a schematic illustration of the 1 st second line, the Yth second line, and one of the first lines of FIG. 1;
FIG. 5 is a schematic view of yet another alternative resilient structure provided by the present invention;
FIGS. 6 and 7 are schematic views of the invention forming a hollow helix;
fig. 8 to 15 are schematic views of still another elastic structure provided by the present invention.
Detailed Description
Various exemplary embodiments of the present invention will now be described in detail with reference to the accompanying drawings. It should be noted that: the relative arrangement of the components and steps, the numerical expressions and numerical values set forth in these embodiments do not limit the scope of the present invention unless it is specifically stated otherwise.
The following description of at least one exemplary embodiment is merely illustrative in nature and is in no way intended to limit the invention, its application, or uses.
Techniques, methods, and apparatus known to one of ordinary skill in the relevant art may not be discussed in detail but are intended to be part of the specification where appropriate.
In all examples shown and discussed herein, any particular value should be construed as exemplary only and not as limiting. Thus, other examples of the exemplary embodiments may have different values.
It should be noted that: like reference numbers and letters refer to like items in the following figures, and thus, once an item is defined in one figure, it need not be discussed further in subsequent figures.
Referring to fig. 1, fig. 1 is a schematic diagram of an elastic structure provided by the present invention, in fig. 1, there are X first lines extending along a first direction and Y second lines extending along a second direction, the first lines and the second lines have intersections, the first direction and the vertical direction have a first included angle, the first included angle is greater than 0 °, and the second direction is a horizontal direction;
wherein Y is a positive integer greater than 2, and X is a positive integer greater than 3;
at the location of the intersection point, the second line comprises a first point and a second point, between which the hollow helix is formed, the second line passing through the hollow helix;
the orthographic projection of each second line on the horizontal plane is circular, the perimeter of the 1 st second line is different from the perimeter of the Y-th second line, and the distance between every two adjacent second lines is larger than 0 in the vertical direction;
the first line is arc-shaped;
the intersection point of the 1 st first line and the 1 st second line is A1, the intersection point of the 2 nd first line and the 2 nd second line is A2, and so on until the intersection point of the Xth first line and the Xth second line is AX, and the connecting lines of A1, A2, … and AX form a logarithmic spiral;
the intersection point of the 2 nd first line and the 1 st second line is B1, the intersection point of the 3 rd first line and the 2 nd second line is B2, and the like, until the intersection point of the 1 st first line and the X +1 th second line is BX, and the connecting lines of B1, B2, … and BX form a logarithmic spiral;
and the like until the intersection point of the X-th first line and the first second line is X1, the intersection point of the 1-th first line and the 2 second lines is X2, and the like until the intersection point of the X-1-th first line and the Y second lines is XX, and the connecting lines of the X1, the X2, the … and the XX form a logarithmic spiral line.
The number of the first lines and the second lines in fig. 1 is only schematically illustrated and is not particularly limited herein.
Referring to fig. 2, fig. 2 is a partial enlarged view of fig. 1, and a vertical line of the plane MNP1 is drawn through a point P2, and the intersection point is a point M defined as
Referring to fig. 3, in this 3D model, the distance between two circles is the same, and thus the angleAndare the same.
According to the characteristics of a logarithmic spiral, the angle between the tangent at point P and the radial lineIs constant. The path of the braiding thus conforms to the logarithmic spiral formula: r ═ ae bθ
In this formula: r is the distance to the origin (point o), θ is the angle to the x-axis, and a and b are arbitrary constants.
Step 1: calculating a rotation angle:
a first line is selected from fig. 3, illustrated by way of example as line AB, in which case there are 16 points on the two circles.
With reference to fig. 4, point C is defined as the intersection of small circles.
Rac AC=3/16×2π=3/8π,∴∠θ=67.5°。
And 2, step: calculating an angle between the first line and the bottom space
Referring to fig. 5, point M is the center of the small circle, point M and point B are connected, a vertical line of the bottom space is drawn through point M, the intersection point is point M, point P is the highest point of the curve AB, and point a and point B are connected to obtain two planes: the MAB plane, the APB plane, is tangent to a curve AB, also passing through point P. The vertical line of the bottom space is drawn through point P, the intersection point being point P'. The method is characterized by defining the angle PBP', the angle ABA, the angle MBM and the angle gamma.
And step 3: finding relationships between angles
When the number of the first wires is 16, the tension is approximately 0.2N. When ═ θ is 67.5 °, the ABC plane and the APB plane are the same.
Vertical line AA' is 10 cm,
the small circle radius MA is 2.5cm M 'A',
the large circle radius BM' is 7.5 cm.
When the first and second threads are woven together in the present invention, the weave is an equiangular spiral, and since the equiangular spiral has the same characteristics as a spring, the entire structure can move in a vertical direction, having elasticity.
In some alternative embodiments, referring to fig. 6 and 7 in combination with fig. 1, fig. 6 and 7 are diagrams of hollow helix structures formed upon braiding. When the second thread is woven, the first point is placed close to the first thread, and the first thread is rotated counterclockwise to form a hollow spiral portion.
In the invention, the first line and the second line are crossed by winding in a counterclockwise direction during weaving.
In some alternative embodiments, with continued reference to fig. 1, the first wire comprises a metal wire and the second wire comprises a nylon wire.
The metal material has strength and toughness and can be used as a framework for supporting the elastic structure, so the metal wire is used as the first wire, and the nylon has good comprehensive properties including mechanical property, heat resistance, abrasion resistance, chemical resistance and self-lubricating property, so the nylon wire is used as the second wire, and the elastic structure is firmer by using the excellent mechanical property.
In some alternative embodiments, with continued reference to fig. 1, the second thread comprises a single nylon thread, or a plurality of nylon threads.
The second line in the invention can be a single line or a plurality of lines, and because the nylon line has excellent mechanical property, the elastic structure of the second line is stronger when a plurality of nylon lines are adopted.
In some alternative embodiments, when the second wire includes a plurality of nylon wires, each of the nylon wires is wound in a spiral shape at a prescribed lead angle and pitch to constitute the second wire.
In the embodiment, a plurality of nylon wires are woven by adopting a weaving means in the prior art, so that the elastic structure is firmer.
In some alternative embodiments, the outer surface of the first and/or second wire is coated with a titanium dioxide coating.
The embodiment can also coat titanium dioxide on the outer surface of the first line, the second line or the first line and the second line, and can degrade toxic and harmful pollutants such as nitrogen oxide (NOx) and Volatile Organic Compounds (VOC) under the irradiation of external light, so that the toxic and harmful gas is prevented from entering the room, and the aim of effectively isolating the toxic and harmful gas is achieved.
In some alternative embodiments, referring to fig. 1 and to fig. 8-15, X is between 3 and 16.
The number of first lines is shown in fig. 8 to 15 as 3, 4, 5, 6, 7, 8, 9, 10, respectively. Of course, the greater the number of first threads, the more elastic the resulting elastic structure is.
Compared with the prior art, the elastic structure provided by the invention at least realizes the following beneficial effects:
in the elastic structure of the present invention, the first and second threads do not have separate elasticity, but when they are woven together, the elasticity occurs by means of weaving, which is an equiangular spiral, and the entire structure can move in a vertical direction due to the equiangular spiral having the same characteristics as a spring, with elasticity, which can be used in the field of construction and the like.
Although some specific embodiments of the present invention have been described in detail by way of examples, it should be understood by those skilled in the art that the above examples are for illustrative purposes only and are not intended to limit the scope of the present invention. It will be appreciated by those skilled in the art that modifications may be made to the above embodiments without departing from the scope and spirit of the invention. The scope of the invention is defined by the appended claims.
Claims (6)
1. An elastic structure is characterized by comprising X first lines extending along a first direction and Y second lines extending along a second direction, wherein the first lines and the second lines are provided with cross points, a first included angle is formed between the first direction and the vertical direction, the first included angle is larger than 0 degree, and the second direction is the horizontal direction;
wherein Y is a positive integer greater than 2, and X is a positive integer greater than or equal to 3;
at the location of the intersection point, the second line comprises a first point and a second point between which a hollow spiral is formed, the second line passing through the hollow spiral;
the orthographic projection of each second line on the horizontal plane is annular, the perimeter of the 1 st second line is different from the perimeter of the Y th second line, and the distance between every two adjacent second lines is larger than 0 in the vertical direction;
the first line is arc-shaped;
the intersection point of the 1 st first line and the 1 st second line is A1, the intersection point of the 2 nd first line and the 2 nd second line is A2, …, the intersection point of the X-th first line and the Y-th second line is AX, and connecting lines of the A1, the A2, the … and the AX form a logarithmic spiral;
the intersection point of the 2 nd first line and the 1 st second line is B1, the intersection point of the 3 rd first line and the 2 nd second line is B2, …, the intersection point of the 1 st first line and the Y th second line is BX, and the connecting lines of the B1, the B2, the … and the BX form a logarithmic spiral;
…
the crossing point of the X-th first line and the first second line is X1, the crossing point of the 1 st first line and the 2 second lines is X2, …, the crossing point of the X-1 st first line and the Y second lines is XX, and the connecting lines of X1, X2, … and XX form a logarithmic spiral;
any two adjacent first lines do not intersect;
the outer surface of the first wire and/or the second wire is coated with a titanium dioxide coating.
2. The elastic structure according to claim 1, wherein when said second thread is knitted, said first point is placed at a position close to said first thread, and said first thread is rotated counterclockwise to form said hollow spiral portion.
3. The elastic structure of claim 1, wherein the first strand comprises a metal strand and the second strand comprises a nylon strand.
4. The elastic structure of claim 3, wherein the second strand comprises a single nylon strand, or a plurality of nylon strands.
5. The elastic structure according to claim 4, wherein when the second thread comprises a plurality of nylon threads, each nylon thread is wound in a spiral shape at a prescribed lead angle and pitch to constitute the second thread.
6. Elastic structure according to claim 1, characterized in that X is between 3 and 16.
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CN202110409862.XA CN113107091B (en) | 2021-04-16 | 2021-04-16 | Elastic structure |
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Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US4901483A (en) * | 1986-05-02 | 1990-02-20 | Huegy Charles W | Spiral helix tensegrity dome |
JPH0830362B2 (en) * | 1990-02-16 | 1996-03-27 | 公男 斎藤 | Arch dome reinforced with tension material and its construction method |
US5524396A (en) * | 1993-06-10 | 1996-06-11 | Lalvani; Haresh | Space structures with non-periodic subdivisions of polygonal faces |
US6064352A (en) * | 1998-04-01 | 2000-05-16 | Trw Inc. | Composite isogrid structures for parabolic surfaces |
KR100831492B1 (en) * | 2000-07-28 | 2008-05-22 | 브라이엄 영 유니버시티 | Iso truss structure |
RU2011120047A (en) * | 2011-05-19 | 2012-11-27 | Георгий Евгеньевич Красавин | ARCHITECTURAL STRUCTURE OF A CURVED LINE FORM |
US9234351B1 (en) * | 2014-12-17 | 2016-01-12 | United Launch Alliance, L.L.C. | Polar-oriented lattice isogrid for circular structures |
CN105888065A (en) * | 2016-04-12 | 2016-08-24 | 东南大学 | Straining beam cable rod dome structure and construction method thereof |
BG67015B1 (en) * | 2016-07-20 | 2020-01-31 | "Ай-Си-Ди-Софт" Еоод | Self supporting tensile structure and method and device for its construction |
CN106760559B (en) * | 2017-01-25 | 2019-06-14 | 上海二十冶建设有限公司 | The installation method of hemispherical spherical crown reticulated shell |
CN106836494A (en) * | 2017-03-13 | 2017-06-13 | 杭州秀沃农业科技有限公司 | Dome type frame structure building |
CN109024893A (en) * | 2018-07-24 | 2018-12-18 | 清华大学 | A kind of self forming elastic bar space curved surface braiding structure system and its construction method |
CN110552428B (en) * | 2019-08-12 | 2020-10-02 | 浙江大学 | Spiral stretch-draw overall structure |
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