CN115095023A - Regular tetrahedron tensioning integral structure with rigid body - Google Patents
Regular tetrahedron tensioning integral structure with rigid body Download PDFInfo
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- 229910000831 Steel Inorganic materials 0.000 description 1
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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
- E04B1/34—Extraordinary structures, e.g. with suspended or cantilever parts supported by masts or tower-like structures enclosing elevators or stairs; Features relating to the elastic stability
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Abstract
The invention discloses a regular tetrahedron tensioning integral structure with a rigid body, and belongs to the technical field of tensioning integral structure design. The regular tetrahedron tensioning integral structure comprises a section edge cable (a first stay cable) formed by connecting same groups of nodes, a ridge cable (a second stay cable) formed by connecting different groups of nodes and rigid bodies respectively positioned on four surfaces of the regular tetrahedron; the structure takes the normal line of the plane where the same group of nodes are positioned as an axis, and after rotating 120 degrees around the axis, the structure is superposed with the original structure; providing stiffness to the structure by applying a pre-stress; the introduction of the rigid body enables the integral tensioning structure to meet more use requirements, and the structure is novel.
Description
Technical Field
The invention relates to the technical field of tensioning integral structure design, in particular to a regular tetrahedron tensioning integral structure with rigid bodies.
Background
The integral tensioning structure has reasonable stress and high structural efficiency, integrates new materials, new technologies and new processes, is widely concerned by students in the engineering fields of civil engineering, machinery, aerospace, bioengineering and the like, and is one of the directions of development of space structures in future at present.
The research on the tensioning integral structure is generally focused on a structural system which is completely composed of a guy cable bearing tension and a compression rod bearing compression, but for part of engineering structures, rigid bodies must exist in the structure, such as outer shells of bridge decks, roofs, cable domes and the like.
Disclosure of Invention
The invention aims to provide a regular tetrahedron tensioning integral structure with rigid bodies, which aims to solve the problems in the background technology.
In order to achieve the purpose, the invention provides the technical scheme that:
a regular tetrahedron tension integral structure with rigid bodies is composed of four rigid bodies respectively on each surface of regular tetrahedron and rotating around their normal lines in counter-clockwise or clockwise direction
Forming an angle, wherein the rigid bodies comprise a first rigid body, a second rigid body, a third rigid body and a fourth rigid body, and each rigid body comprises a first node, a second node and a third node which are distributed along the anticlockwise direction;
the first node of the first rigid body, the first node of the second rigid body and the first node of the third rigid body are connected through a first inhaul cable, the second node of the first rigid body, the third node of the third rigid body and the second node of the fourth rigid body are connected through a first inhaul cable, the third node of the first rigid body, the second node of the second rigid body and the first node of the fourth rigid body are connected through a first inhaul cable, and the third node of the second rigid body, the second node of the third rigid body and the third node of the fourth rigid body are connected through a first inhaul cable; the three connected nodes are divided into the same group;
the first node of the first rigid body is connected with the second node of the second rigid body through a second inhaul cable, the second node of the first rigid body is connected with the first node of the third rigid body through the second inhaul cable, the third node of the first rigid body is connected with the second node of the fourth rigid body through the second inhaul cable, the first node of the second rigid body is connected with the second node of the third rigid body through the second inhaul cable, the third node of the second rigid body is connected with the first node of the fourth rigid body through the second inhaul cable, and the third node of the third rigid body is connected with the third node of the fourth rigid body through the second inhaul cable.
Preferably, the regular tetrahedron tensioned monolithic structure is rotationally symmetric about a normal of a plane in which the nodes in the same group are located, and the rotation angle is 120 degrees.
Preferably, the first rigid body, the second rigid body, the third rigid body and the fourth rigid body have the same structure, and the rigid bodies and the nodes thereof do not collide with each other.
Preferably, the first cable and the second cable are prestressed, and the prestressing force of the same cable is the same.
Compared with the prior art, the invention has the beneficial effects that:
the invention provides a regular tetrahedron tensioning integral structure with a rigid body, which has the advantages of the traditional tensioning integral structure, the structure consists of a guy cable and the rigid body, the rigidity has the contribution of prestress, steel is saved, and the self weight of the structure is reduced; the rigid body is introduced into the integral tensioning structure, so that the use requirements of more structures can be met.
Drawings
FIG. 1 is a perspective view of a regular tetrahedron tensioned monolithic structure with rigid bodies according to an embodiment of the present invention;
FIG. 2 is a schematic diagram illustrating a rotation process of a rigid body in a regular tetrahedron tensioned monolithic structure according to an embodiment of the present invention;
FIG. 3 illustrates different rotations of rigid bodies around respective normal planes according to embodiments of the present invention
Force density schematic diagrams of two guys in a tensioning integral structure formed by an angle;
in the figure: 1-rigid body one, 101-first node of rigid body one, 102-second node of rigid body one, 103-third node of rigid body one; 2-rigid body two, 201-first node of rigid body two, 202-second node of rigid body two, 203-third node of rigid body two; 3-rigid body three, 301-first node of rigid body three, 302-second node of rigid body three, 303-third node of rigid body three; 4-rigid four, 401-first node of rigid four, 402-second node of rigid four, 403-third node of rigid four.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
As shown in fig. 1, a regular tetrahedron tensioned monolithic structure with rigid bodies in the embodiment of the present invention includes 4 rigid bodies, 12 section edge cables, 6 edge cables, and 12 nodes.
Four rigid bodies of the same structure respectively positioned on each surface of the regular tetrahedron rotate clockwise around the normal of each plane
Forming an angle, wherein four rigid bodies are respectively defined as a rigid body I1, a rigid body II 2, a rigid body III 3 and a rigid body IV 4, and three nodes in the rigid body I1 are respectively defined as a first node 101, a second node 102 and a third node 103 in a counterclockwise direction; three nodes in the rigid body two 2 are respectively defined as a first node 201, a second node 202 and a third node 203 in the counterclockwise direction; three nodes in the rigid body two 3 are respectively defined as a first node 301, a second node 302 and a third node 303 in the anticlockwise direction; three nodes in the rigid body two 4 are respectively defined as a first node 401, a second node 402, and a third node 403 in the counterclockwise direction.
In the regular tetrahedron structure shown in fig. 2 (a), the four rigid bodies are respectively located on four planes of the regular tetrahedron, the shapes and the sizes thereof are completely the same, and the nodes of each rigid body are overlapped at four vertices of the regular tetrahedron structure. Rotating four rigid bodies clockwise around respective plane normal
An angle forming a tensioned monolithic structure as shown in fig. 2 (b), in which the first node 101 of the first rigid body 1, the first node 201 of the second rigid body 2, and the first node 301 of the third rigid body 3 are connected, the second node 102 of the first rigid body 1, the third node 303 of the third rigid body 3, and the second node 301 of the fourth rigid body 4The three nodes 402 are connected, the third node 103 of the rigid body 1, the second node 202 of the rigid body two 2 and the first node 401 of the rigid body four 4 are connected, and the third node 203 of the rigid body two 2, the second node 302 of the rigid body three 3 and the third node 403 of the rigid body four 4 are connected; every three connected nodes are divided into the same group, and the three nodes of each rigid body are divided into different groups; when three nodes in each group are connected, every two nodes are connected through a section edge cable, and the total number of the section edge cables is 12.
Furthermore, the first node 101 of the first rigid body 1 is connected to the second node 202 of the second rigid body 2, the second node 102 of the first rigid body 1 is connected to the first node 301 of the third rigid body 3, the third node 103 of the first rigid body 1 is connected to the second node 402 of the fourth rigid body 4, the first node 201 of the second rigid body 2 is connected to the second node 302 of the third rigid body 3, the third node 203 of the second rigid body 2 is connected to the first node 401 of the fourth rigid body 4, and the third node 303 of the third rigid body 3 is connected to the third node 403 of the fourth rigid body 4; every two nodes are connected through ridge cables, 6 ridge cables are counted, and the ridge cables are the shortest cables connected with nodes in different groups.
The regular tetrahedron tensioned monolithic structure shown in the embodiment is rotationally symmetric about a normal of a plane where the same group of nodes are located, and the rotation angle is 120 degrees.
The four rigid bodies of the present invention have the same form, but the specific form is not limited to the triangle shown in the drawing, and may be determined according to actual requirements, but three nodes for connecting with the cable are necessarily included, and each node of the rigid body does not collide with other cables and rigid bodies.
The 12 cross-section edge cables are numbered as bs1-12, for example, in the same group of nodes formed by the first node 101 of the rigid body one 1, the first node 201 of the rigid body two 2 and the first node 301 of the rigid body three 3, the cross-section edge cables connected with every two nodes are bs1, bs2 and bs3, and the other groups are the same.
The 6 edge lines are numbered ls1-6, for example, the edge line connecting the first node 101 of the first rigid body 1 and the second node 202 of the second rigid body 2 is ls6, and the same applies to the rest.
In the embodiment, the total of the 12 cross-section edge cables and the 6 edge cables is 18 cables. When the total weight is divided into fourThe rigid bodies resting on respective faces of the regular tetrahedron rotate clockwise about the normal of the respective plane
After the angle is formed into the structure shown in fig. 2 (b), the initial length of the cable is designed to be smaller than the distance between the two corresponding nodes, for example, the initial length of the cable is alpha times of the distance between the two corresponding nodes, and is in the range of alpha e (0,1), preferably in the range of alpha e (0.7,0.9), and the initial lengths of the same cable are the same; after the guy cables are connected with the two nodes, the guy cables are stretched, and the length of each guy cable in the formed stretching integral structure shown in figure 1 is larger than the initial length of the guy cable, so that all the guy cables have prestress, and the prestress of the same guy cable is the same.
FIG. 3 shows different rotations of the rigid bodies about their respective normal to the plane
The force density diagrams of two kinds of guys in the stretching integral structure formed by the angle are that when the rigid body rotates differently
After the angle, the length of the guy cable is designed to be 0.9 times of the distance between the corresponding two nodes, the abscissa represents the force density of the edge cable (the second guy cable), and the ordinate represents the force density of the edge cable (the first guy cable) on the cross section because
The larger the value is, the larger the distance difference between the initial length of the inhaul cable and the corresponding two nodes is, and the larger the force density of the inhaul cable after forming is. The prestress of the inhaul cable can be designed according to actual requirements by a person skilled in the art, so that the regular tetrahedron tensioning integral structure has rigidity.
The foregoing lists merely illustrate specific embodiments of the invention. It is obvious that the invention is not limited to the above embodiments, but that many variations are possible. All modifications which can be derived or suggested by the person skilled in the art from the present disclosure are to be considered within the scope of the present invention.
Claims (4)
1. A stretching integral structure of regular tetrahedron with rigid bodies is characterized in that four rigid bodies respectively positioned on each surface of the regular tetrahedron rotate anticlockwise or clockwise around the normal of each plane
Forming an angle, wherein the rigid bodies comprise a first rigid body (1), a second rigid body (2), a third rigid body (3) and a fourth rigid body (4), and each rigid body comprises a first node, a second node and a third node which are distributed along the counterclockwise direction;
the first node (101) of the first rigid body, the first node (201) of the second rigid body and the first node (301) of the third rigid body are connected through a first cable, the second node (102) of the first rigid body, the third node (303) of the third rigid body and the second node (402) of the fourth rigid body are connected through the first cable, the third node (103) of the first rigid body, the second node (202) of the second rigid body and the first node (401) of the fourth rigid body are connected through the first cable, and the third node (203) of the second rigid body, the second node (302) of the third rigid body and the third node (403) of the fourth rigid body are connected through the first cable; the three connected nodes are divided into the same group;
the first node (101) of the first rigid body is connected with the second node (202) of the second rigid body through a second inhaul cable, the second node (102) of the first rigid body is connected with the first node (301) of the third rigid body through the second inhaul cable, the third node (103) of the first rigid body is connected with the second node (402) of the fourth rigid body through the second inhaul cable, the first node (201) of the second rigid body is connected with the second node (302) of the third rigid body through the second inhaul cable, the third node (203) of the second rigid body is connected with the first node (401) of the fourth rigid body through the second inhaul cable, and the third node (303) of the third rigid body is connected with the third node (403) of the fourth rigid body through the second inhaul cable.
2. A regular tetrahedron tensioned monolithic structure with rigid bodies according to claim 1 wherein said regular tetrahedron tensioned monolithic structure is rotationally symmetric about a normal to a plane containing the same set of nodes, and wherein said rotation angle is 120 °.
3. A positive tetrahedron tensioned monolithic structure with rigid bodies according to claim 1, wherein said first rigid body (1), said second rigid body (2), said third rigid body (3) and said fourth rigid body (4) have the same structure, and there is no mutual collision between the rigid bodies and their nodes.
4. A rigid body-carrying regular tetrahedron tensioned monolithic structure according to claim 1, wherein said first and second cables are prestressed and the prestressing of the same cable is the same.
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| CN202210802444.1A CN115095023A (en) | 2022-07-07 | 2022-07-07 | Regular tetrahedron tensioning integral structure with rigid body |
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Citations (9)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JPH1136505A (en) * | 1997-07-18 | 1999-02-09 | Kenichi Kawaguchi | Opening and closing roof construction and framed structure thereof |
| EP0963834A1 (en) * | 1998-06-03 | 1999-12-15 | Molecular Geodesics, Inc. | Scaffold material with a self-stabilizing structure |
| US8833000B1 (en) * | 2010-12-29 | 2014-09-16 | Gerard F. Nadeau | Continuous tension, discontinuous compression systems and methods |
| CN104746642A (en) * | 2015-03-31 | 2015-07-01 | 哈尔滨工程大学 | Tensegrity structure similar to truncated tetrahedron |
| CN104775519A (en) * | 2015-04-09 | 2015-07-15 | 哈尔滨工程大学 | Quasi-cuboctahedron tensegrity structure |
| CN208996195U (en) * | 2018-10-12 | 2019-06-18 | 北京科技大学 | A kind of tension integral structure that modularization is built |
| US20190242110A1 (en) * | 2016-10-07 | 2019-08-08 | Georgia Tech Research Corporation | Tensegrity Structures And Methods of Constructing Tensegrity Structures |
| US20190382995A1 (en) * | 2017-03-03 | 2019-12-19 | The Regents Of The University Of California | Elastic lattices for design of tensegrity structures and robots |
| CN113914470A (en) * | 2021-09-12 | 2022-01-11 | 浙江大学 | Novel cut half cube stretch-draw overall structure |
-
2022
- 2022-07-07 CN CN202210802444.1A patent/CN115095023A/en active Pending
Patent Citations (9)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JPH1136505A (en) * | 1997-07-18 | 1999-02-09 | Kenichi Kawaguchi | Opening and closing roof construction and framed structure thereof |
| EP0963834A1 (en) * | 1998-06-03 | 1999-12-15 | Molecular Geodesics, Inc. | Scaffold material with a self-stabilizing structure |
| US8833000B1 (en) * | 2010-12-29 | 2014-09-16 | Gerard F. Nadeau | Continuous tension, discontinuous compression systems and methods |
| CN104746642A (en) * | 2015-03-31 | 2015-07-01 | 哈尔滨工程大学 | Tensegrity structure similar to truncated tetrahedron |
| CN104775519A (en) * | 2015-04-09 | 2015-07-15 | 哈尔滨工程大学 | Quasi-cuboctahedron tensegrity structure |
| US20190242110A1 (en) * | 2016-10-07 | 2019-08-08 | Georgia Tech Research Corporation | Tensegrity Structures And Methods of Constructing Tensegrity Structures |
| US20190382995A1 (en) * | 2017-03-03 | 2019-12-19 | The Regents Of The University Of California | Elastic lattices for design of tensegrity structures and robots |
| CN208996195U (en) * | 2018-10-12 | 2019-06-18 | 北京科技大学 | A kind of tension integral structure that modularization is built |
| CN113914470A (en) * | 2021-09-12 | 2022-01-11 | 浙江大学 | Novel cut half cube stretch-draw overall structure |
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Application publication date: 20220923 |