CN115874817B - Tensioning integral ring structure - Google Patents
Tensioning integral ring structure Download PDFInfo
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Abstract
本发明提供一种新型的张拉整体环结构，所述结构包括3n(n≥3)个节点、2n个斜压杆、2n个稳定杆、4n个斜索和n个竖索；n个内部节点在半径为r的正多边形平面上，每个内部节点沿径向向外通过2个夹角为α的稳定杆与2个外部节点连接；2n个等长的斜压杆，两两交叉并首尾连接外部节点，形成正多边形棱台作为环形张拉整体结构的外环；每个内部节点通过4个斜索与正多边形相邻的上下外部节点连接，同一组上下2个外部节点间通过1个竖索彼此相连。本发明提供了一种新型的环形张拉整体结构，具有良好的空间对称性和稳定性，该结构可以有效地平衡环向压力来承担径向荷载，因此可作为自平衡钢环梁使用，在大跨空间结构工程中具有很高的应用价值。
The present invention provides a novel tensegrity ring structure, the structure comprising 3n (n≥3) nodes, 2n diagonal compression rods, 2n stabilizing rods, 4n oblique cables and n vertical cables; n internal nodes are on a regular polygonal plane with a radius of r, each internal node is connected to two external nodes radially outward through two stabilizing rods with an angle of α; 2n diagonal compression rods of equal length cross each other and connect the external nodes end to end to form a regular polygonal prism as the outer ring of the annular tensegrity structure; each internal node is connected to the upper and lower external nodes adjacent to the regular polygon through four oblique cables, and the upper and lower external nodes of the same group are connected to each other through one vertical cable. The present invention provides a novel annular tensegrity structure, which has good spatial symmetry and stability. The structure can effectively balance the annular pressure to bear the radial load, so it can be used as a self-balancing steel ring beam, and has a high application value in large-span space structure engineering.
Description
Technical Field
The invention relates to a tension integral structure design.
Background
A tensile overall structure is a stable self-balancing structural system consisting of a set of continuous tension members and discrete compression members, the stiffness of the structure consists of material stiffness and geometric stiffness, and the geometric shape and topological connection relationship of the structure must meet the condition of prestress self-balancing. The system has the advantages of light weight, high strength, controllable form, reasonable stress, novel shape and the like, is a novel technical material and a novel structural form in the structural field, is focused by a plurality of scholars, and is applied to a plurality of practical projects.
Common tensile overall structural forms include spherical, plate-shaped, polygonal prism-shaped and other geometric shapes, and relatively lack of research and exploration of novel annular structures. The annular stretching integral structure is used as a completely self-balanced structure with rigidity, can provide stretching action for the inner space, and has important research significance. For the tension integral ring, the compression bars are continuously crossed and distributed along the circumferential direction, and the tension integral ring belongs to a Class-k type annular tension integral structure, can more uniformly transfer load, is beneficial to balancing circumferential pressure, and has better radial rigidity. However, the existing annular stretching integral structure is relatively lack of a feasible annular stretching integral structure, and an annular stretching integral structure formed by continuously crossing compression bars is not available.
Disclosure of Invention
The invention aims to provide a tension integral ring structure which is simple and efficient, can be applied to continuous cross compression bars of practical engineering, and can be self-balanced.
The technical scheme adopted for solving the technical problems is as follows:
A tension integral ring structure comprises 3n (n is more than or equal to 3) nodes, 4n compression bar units and 5n inhaul cable units, wherein the compression bar units are connected with the inhaul cable units through the nodes;
The compression bar unit comprises 2n oblique compression bars and 2n stabilizer bars, and the inhaul cable unit comprises 4n oblique cables and n vertical cables.
Further, the 3n nodes comprise n inner nodes and 2n outer nodes, and each inner node is connected with 2 outer nodes respectively through 2 stabilizer bars with an included angle alpha along the radial outward direction on a regular polygon plane with a radius r.
Further, the 2n oblique compression bars are equal in length, and the 2n oblique compression bars are intersected in pairs and connected with external nodes end to form a regular polygon prism table serving as an outer ring of the annular tensioning integral structure.
Further, each internal node is connected with an upper external node and a lower external node which are adjacent to the regular polygon plane with the radius r through 4 diagonal ropes, and in the same group, the upper external node and the lower external node are connected with each other through 1 vertical rope;
Further, the plane of the stabilizer bar on each internal node is the normal polygon circumscribing the normal plane of the node.
Further, the regular polygon planes of all internal nodes in the stretching integral ring structure are rotationally symmetrical, and the rotation angle is 2 pi/n.
Furthermore, the joints are all hinged joints, the compression bar unit and the inhaul cable unit only bear the axial force of the joints, all compression bars in the structure have pre-compression force, all inhaul cables have pre-compression force, and the whole structure meets the self-balance of the pre-compression force.
Further, the upper and lower stabilizer bars connected to the internal nodes have different lengths (h_1, h_2) and angles (α_1, α_2) with respect to the horizontal plane, and α=α_1+α_2).
Further, the annular tensioning integral structure has 6 independent self-stress modes, the structural components are divided into six groups, 2n inclined compression rods are 1 st group components, n upper stabilizing rods are 2 nd group components, n lower stabilizing rods are 3 rd group components, 2n upper inclined ropes are 4 th group components, 2n lower inclined ropes are 5 th group components, n vertical ropes are 6 th group components, and the lengths and the prestress distribution of the same group components are the same.
The beneficial effects of the invention are as follows:
(1) The invention provides a novel self-balancing stretching integral ring structure, which has the characteristics of simplicity, high efficiency, light weight, good symmetry, large integral rigidity and the like, and enriches the design form of the annular stretching integral structure.
(2) The tension integral ring structure provided by the invention has the advantages that the continuously crossed compression bars are distributed along the circumferential direction, the circumferential pressure can be better balanced, the larger radial rigidity is provided, the internal nodes can be conveniently used as tension connection points, meanwhile, the upper surface and the lower surface of the outer ring can have different ring surface radiuses, and the geometric shape of the tension integral ring structure can be enriched, which is different from the requirement of the existing annular tension integral on the complete symmetry.
(3) The stretching integral ring structure provided by the invention is used as a completely self-balancing structure with rigidity, can effectively provide radial stretching force, can be used for replacing the fixed boundary of flexible structures such as a traditional cable dome and a cable net structure to form a completely self-balancing system, and can be used as the stretching boundary of temporary members such as a tent and a movable film surface, so that the stretching integral ring structure has important engineering practical significance.
Drawings
FIG. 1 is a top view of a tensioned unitary ring structure of the present invention.
Fig. 2 is a side view of a tensioned unitary ring structure of the present invention.
Fig. 3 is a perspective view of a tensioned unitary ring structure of the present invention.
FIG. 4 is a schematic illustration of a stabilizer bar design of a tension-type overall ring structure according to the present invention.
FIG. 5 is a node numbering schematic of a tensegrity ring structure of the present invention.
FIG. 6 is a schematic diagram of the diagonal strut cell numbering of a tension-type overall ring structure of the present invention.
FIG. 7 is a schematic representation of stabilizer bar unit numbering for a tension-type overall ring structure of the present invention.
FIG. 8 is a schematic numbered illustration of a cable unit of a tension-type overall loop structure of the present invention.
FIG. 9 is a schematic numbered illustration of a vertical rope unit of a tensioned unitary ring structure of the present invention.
Fig. 10 shows a tensile overall ring structure of example 1, where n=8, r=4,,,,Schematic plan view.
Fig. 11 shows a tensile overall ring structure of example 1 of the present invention, where n=8, r=4,,,,A schematic perspective view.
Fig. 12 shows a tensile overall ring structure of example 2, where n=10, r=4,,,,Schematic plan view.
Fig. 13 shows a tensile overall ring structure of example 2, where n=10, r=4,,,,A schematic perspective view.
Detailed Description
The present application will be described and illustrated with reference to the accompanying drawings and examples in order to make the objects, structural forms and advantages thereof more apparent. It should be understood that the specific embodiments described herein are for purposes of illustration only and are not intended to limit the scope of the application. All other embodiments, which can be made by a person of ordinary skill in the art based on the embodiments provided by the present application without making any inventive effort, are intended to fall within the scope of the present application.
As shown in figures 1,2 and 3, the invention provides a tension integral ring structure, which comprises 3n (n is more than or equal to 3) nodes, 4n compression rod units and 5n inhaul cable units, wherein all the nodes are hinged nodes between the compression rod and the inhaul cable, the compression rod units and the inhaul cable units can rotate at the nodes, each compression rod unit comprises 2n inclined compression rods and 2n stabilizer bars, each inhaul cable unit comprises 4n inclined cables and n vertical cables, n internal nodes are arranged on a regular polygon plane with the radius of r, each internal node is connected with 2 external nodes through 2 stabilizer bars with an included angle alpha outwards in the radial direction, an upper external node and a lower external node at the same internal node are a group, 2n inclined compression rods with equal length are connected with the external nodes in a head-to-tail mode, each internal node is connected with an upper external node and a lower external node adjacent to the regular polygon through 4 inclined cables, the upper external node and the lower external node are connected with each other through 1 vertical cable, each internal node is a rotation angle of n on the regular polygon, and the internal node is a rotation angle of the regular polygon is a regular polygon, and the rotation angle of the regular polygon is about the regular polygon.
The stretching integral ring structure of the invention is uniquely determined by the independent design parameters of the number n of the regular polygon nodes of the internal nodes, the radius r of the circumscribed circle of the regular polygon nodes of the internal nodes, and the lengths of the upper stabilizing rod and the lower stabilizing rodIncluded angle between upper and lower stabilizer bars and horizontal plane. The rest of the structural parameters can be calculated by the design parameters.
As shown in FIG. 4, all external nodes fall on the upper and lower polygon planes, the upper polygon radius isThe radius of the lower polygon isBy matching parameters ofAnd different values are taken, so that the tensegrity rings with different geometric shapes can be obtained.
The annular tensioning integral structure has 6 independent self-stress modes, all compression rods have pre-stress, all inhaul cables have pre-stress, and the integral structure meets the self-balance of the pre-stress. The symmetry is considered, the components in the structure are divided into six groups, 2n inclined pressure rods are 1 st group of components, n upper stabilizing rods are 2 nd group of components, n lower stabilizing rods are 3 rd group of components, 2n upper inclined ropes are 4 th group of components, 2n lower inclined ropes are 5 th group of components, n vertical ropes are 6 th group of components, and the lengths and the prestress distribution of the same group of components are the same.
All diagonal rods are equal in length, are crossed in pairs and are connected end to form a regular polygon prismatic table as an outer ring of the annular stretching integral structure, and the regular polygon prismatic table is used for bearing annular pressure to provide a structural framework of the stretching integral ring, all upper and lower diagonal ropes are respectively equal in length, all vertical ropes are equal in length, the diagonal rods are balanced in force, self-stress balance is met, the lengths of the rods are equal in number n of regular polygon nodes of internal nodes, the radius r of regular polygon circumscribed by the internal nodes, and the lengths of the upper and lower stabilizing rods are equal in lengthIncluded angle between upper and lower stabilizer bars and horizontal planeAnd (5) jointly determining. .
As shown in fig. 5, 6, 7, 8 and 9, the nodes of the structure of the present invention may be divided into n groups, each group containing 3 nodes, each group of nodes being rotationally symmetrical about the normal of the regular polygon of the internal node, and the rotation angle being 2 pi/n. The i-th group of nodes comprises nodes with node numbers of 3i-2,3i-1 and 3i, the internal node 3i is on a regular polygon, and the external nodes 3i-2 and 3i-1 are connected with the node 3i through stabilizing rods.
The coordinates to which the present invention relates are:
i=1,2,...n
i=1,2,...n
i=1,2,...n
the topology connection form of the invention is as follows:
1) Oblique compression bar
A diagonal compression bar 1 is connected between the node 2 and the node 3 n-2;
A diagonal compression bar 2 is connected between the node 1 and the node 3 n-1;
a diagonal strut 2i-1 is connected between node 3i-5 and node 3i-1, wherein i=2, 3,;
A diagonal strut 2i is connected between node 3i-4 and node 3i-2, where i=2, 3.
2) Stabilizer bar
A stabilizer bar 2i-1 is connected between the node 3i-2 and the node 3i, wherein i=1, 2,3,;
a lower stabilizer bar 2i is connected between node 3i-1 and node 3i, where i=1, 2,3,..n.
3) Inclined cable
The upper inclined rope 1 is connected between the node 3 and the node 3 n-2;
a lower inclined rope 2 is connected between the node 3 and the node 3 n-1;
an upper inclined rope 3 is connected between the node 3n and the node 1;
A lower inclined rope 4 is connected between the node 3n and the node 2;
connecting a diagonal cable 4i-3 between the node 3i and the node 3i-5, wherein i=2, 3,;
A lower diagonal 4i-2 is connected between node 3i and node 3i-4, where i=2, 3,;
Connecting a diagonal cable 4i-1 between a node 3 (i-1) and a node 3i-2, wherein i=2, 3, & gt, n;
A lower diagonal 4i is connected between node 3 (i-1) and node 3i-1, where i=2, 3.
4) Vertical rope
Vertical cables i are connected between node 3i-2 and node 3i-1, where i=1, 2,3, &.
The length of the component of the invention is as follows:
1) Stabilizer bar: ,;
2) Vertical rope: ;
3) Oblique compression bar: ;
4) A diagonal cable: ,。
examples
As shown in fig. 10, 11, the following parameters n=8, r=4,,,,As a specific example of a tensegrity ring structure, the radii of the upper and lower torus of the structure are identical and are completely symmetrical about the plane of the regular polygon in which the internal nodes are located.
Examples
As shown in fig. 12, 13, the following parameters n=10, r=4,,,,As a specific example of a tensegrity ring structure, the radii of the upper and lower torus of the structure are different and asymmetric about the plane of the regular polygon in which the internal nodes lie.
The above examples illustrate only a few embodiments of the application, which are described in detail and are not to be construed as limiting the scope of the application. Any modification, equivalent replacement, improvement, etc. made within the spirit and principles of one or more embodiments of the present disclosure should be included in the scope of the present application.
Claims (5)
1. The tension integral ring structure is characterized by comprising 3n nodes, 4n compression bar units and 5n inhaul cable units, wherein n is more than or equal to 3, and the compression bar units and the inhaul cable units are connected through the nodes;
the compression bar unit comprises 2n oblique compression bars and 2n stabilizer bars; the inhaul cable unit comprises 4n inclined cables and n vertical cables;
the 3n nodes comprise n internal nodes and 2n external nodes, the n internal nodes are on a regular polygon plane with the radius r, and each internal node is connected with 2 external nodes respectively through 2 stabilizing rods with the included angle alpha along the radial outward direction;
The 2n oblique compression bars are equal in length, the 2n oblique compression bars are intersected in pairs and connected with external nodes end to form a regular polygon terrace as an outer ring of the annular stretching integral structure;
Each internal node is connected with an upper external node and a lower external node which are adjacent to the regular polygon plane with the radius r through 4 inclined ropes, and in the same group, the upper external node and the lower external node are connected with each other through 1 vertical rope;
The tension integral ring structure is provided with 6 independent self-stress modes, the components in the structure are divided into six groups, 2n inclined compression rods are 1 st group components, n upper stabilizing rods are 2 nd group components, n lower stabilizing rods are 3 rd group components, 2n upper inclined ropes are 4 th group components, 2n lower inclined ropes are 5 th group components, n vertical ropes are 6 th group components, and the lengths and the prestress distribution of the same group components are the same.
2. A tension global ring structure as claimed in claim 1 wherein the plane of the stabilizer bar at each internal node is the normal polygon circumscribing the normal plane of the node.
3. A tensegrity ring structure according to claim 1, characterized in that the regular polygon plane in which all internal nodes in the tensegrity ring structure are located is rotationally symmetrical, with a rotation angle of 2 pi/n.
4. The tension integral ring structure of claim 1, wherein the joints are all hinged joints, the compression bar unit and the inhaul cable unit only bear the axial force of the joints, all compression bars in the structure have pre-compression, all inhaul cables have pre-compression, and the integral structure meets the self-balance of the pre-compression.
5. A tension global ring structure as recited in claim 1, wherein the upper and lower stabilizer bars connected to the inner nodes have different lengths h_1, h_2 and angles α_1, α_2 to the horizontal, and α=α_1+α_2.
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| CN114575461B (en) * | 2022-03-16 | 2023-07-14 | 中山大学 | A nested annular tensioned monolithic structure with modular splicing |
| CN121047240B (en) * | 2025-11-04 | 2026-01-27 | 上海海事大学 | A lightweight fiber marine tensioned monolithic structure node system and its application method |
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| CN203307981U (en) * | 2013-06-17 | 2013-11-27 | 东南大学 | A full-tension cable-strut roof structure system |
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| CN101649661B (en) * | 2009-09-03 | 2011-05-11 | 浙江大学 | Layer-by-layer double-ring sunflower-shaped cable dome structure and construction molding method thereof |
| CN101906816A (en) * | 2010-07-13 | 2010-12-08 | 中铁四局集团有限公司 | Irregular self-stress tension unit structure form |
| US9892213B2 (en) * | 2012-06-18 | 2018-02-13 | China Aviation Planning & Construction Development | Asymmetric cable-membrane tensegrity structure of opening type, method of constructing the same and method of designing the same |
| CN103334529B (en) * | 2013-06-17 | 2015-07-01 | 东南大学 | Full-tension cable-strut roof structural system and construction method thereof |
| CN107268792A (en) * | 2017-07-10 | 2017-10-20 | 中国建筑西南设计研究院有限公司 | A kind of rigid roofing cable dome structure supported with ring |
| CN109853726B (en) * | 2019-01-10 | 2020-08-07 | 浙江大学 | Annular stretch-draw overall structure |
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