CN115874817A - Novel stretch-draw integral ring structure - Google Patents
Novel stretch-draw integral ring structure Download PDFInfo
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Abstract
The invention provides a novel tensioning integral ring structure, which comprises 3n (n is more than or equal to 3) nodes, 2n oblique compression bars, 2n stabilization bars, 4n oblique cables and n vertical cables; n internal nodes are arranged on a regular polygon plane with the radius of r, and each internal node is outwards connected with 2 external nodes through 2 stabilizer bars with included angles alpha along the radial direction; the two oblique compression rods are crossed pairwise and connected with external nodes end to form a regular polygon terrace serving as an outer ring of the annular tensioning integral structure; each internal node is connected with the adjacent upper and lower external nodes of the regular polygon through 4 oblique cables, and the upper and lower external nodes of the same group are connected with each other through 1 vertical cable. The invention provides a novel annular tensioning integral structure which has good space symmetry and stability, and the structure can effectively balance annular pressure to bear radial load, so that the novel annular tensioning integral structure can be used as a self-balancing steel ring beam and has high application value in large-span space structural engineering.
Description
Technical Field
The invention relates to a tension integral structure design.
Background
The tension integral structure is a stable self-balancing structure system consisting of a group of continuous tension members and discrete compression members, the rigidity of the structure consists of material rigidity and geometric rigidity, and meanwhile, the geometric shape and topological connection relation of the structure must meet the condition of self-balancing of prestress. The system has the advantages of light weight, high strength, controllable form, reasonable stress, novel shape and the like, is the embodiment of new technical materials and structural forms in the structural field, receives the attention of a plurality of scholars, and is specifically applied to a plurality of practical projects.
Common tensegrity structural forms include spherical, flat plate, polygonal and other geometric shapes, and research and exploration on novel annular structures are relatively lacked. The annular tensioning integral structure is a completely self-balancing structure with rigidity, and can provide a tensioning effect for an inner space, so that the annular tensioning integral structure has important research significance. For the tension integral ring, the form that the compression bars are continuously crossed and distributed along the annular direction belongs to a Class-k type annular tension integral structure, can more uniformly transfer load, is beneficial to balancing annular pressure, and has better radial rigidity. However, a feasible annular tensioning integral structure form is relatively lacked, and an annular tensioning integral structure formed by continuous crossing of compression bars is not provided.
Disclosure of Invention
The invention aims to provide a novel tensioning integral ring structure which is simple and efficient, can be applied to a continuous cross compression bar of actual engineering and can realize self-balance.
The technical scheme adopted by the invention for solving the technical problem is as follows:
a novel tensioning integral ring structure comprises 3n (n is more than or equal to 3) nodes, 4n pressure lever units and 5n inhaul cable units, wherein the pressure lever units are connected with the inhaul cable units through the nodes;
the compression bar unit comprises 2n inclined compression bars and 2n stabilization bars; the inhaul cable unit comprises 4n oblique cables and n vertical cables.
Further, the 3n nodes include n inner nodes and 2n outer nodes, and on a regular polygon plane with a radius r, each inner node is connected with the 2 outer nodes respectively through 2 stabilizer bars with an included angle α radially outwards.
Furthermore, the 2n oblique pressing rods are equal in length, the 2n oblique pressing rods are crossed in pairs and connected with external nodes end to end, and a regular polygon prism table is formed and serves as an outer ring of the annular tensioning integral structure.
Furthermore, 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 of r through 4 oblique cables, and in the same group, the upper external node and the lower external node are connected with each other through 1 vertical cable;
further, the plane of the stabilizer bar on each internal node is a normal plane which is formed by a regular polygon circumscribed by a circle and passes through the node.
Furthermore, the regular polygon plane where all the internal nodes in the tensioning integral ring structure are located is rotationally symmetrical, and the rotation angle is 2 pi/n.
Furthermore, the nodes are all hinged nodes, and the pressure lever unit and the inhaul cable unit are only subjected to axial force of the nodes; all compression bars in the structure have pre-pressure, all guys have pre-tension, and the overall structure meets the self-balance of pre-stress.
Further, the upper and lower stabilizer bars connected to the inner node have different lengths (h _1, h _ 2) and angles (α _1, α _2, and α = α _1+ α _ 2) with the horizontal plane.
Further, the annular tension integral structure has 6 independent self-stress modes, the structural components are divided into six groups, 2n inclined pressure rods are members in the 1 st group, n upper stabilizing rods are members in the 2 nd group, n lower stabilizing rods are members in the 3 rd group, 2n upper inclined cables are members in the 4 th group, 2n lower inclined cables are members in the 5 th group, and n vertical cables are members in the 6 th group; the length and the distribution of the prestress of the same group of components are the same.
The invention has the beneficial effects that:
(1) The invention provides a novel self-balancing tensioning 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 forms of the annular tensioning integral structure.
(2) The tension integral ring structure 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 requirement on the complete symmetry of the existing annular tension integral is different, 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.
(3) The tension integral ring structure provided by the invention is used as a completely self-balancing and rigid structure, can effectively provide radial tension force, can be used for replacing fixed boundaries of traditional cable dome, cable net structures and other flexible structures to form a completely self-balancing system, and can be used as a tension boundary of temporary members such as tents, movable membrane surfaces and the like, so that the tension integral ring structure has important engineering practical significance.
Drawings
Figure 1 is a top plan view of a novel tensioned monolithic ring structure of the present invention.
Figure 2 is a side view of a novel tensioned monolithic ring structure of the present invention.
Figure 3 is a perspective view of a novel tensioned monolithic ring structure of the present invention.
Fig. 4 is a schematic view of a stabilizer bar design of a novel tensegrity structure according to the present invention.
Fig. 5 is a schematic node numbering diagram of the novel tensegrity ring structure of the present invention.
FIG. 6 is a schematic diagram of the numbering of the diagonal compression bar units of the novel tensegrity structure of the present invention.
Fig. 7 is a schematic number diagram of a stabilizer bar unit of a novel tensegrity structure according to the present invention.
Fig. 8 is a schematic view of the numbering of the stay units of a novel tensegrity ring structure of the present invention.
Fig. 9 is a schematic view of the numbering of the vertical cable units of a novel tensioned monolithic ring structure of the present invention.
FIG. 10 shows a novel tensegrity loop configuration of example 1 of the present invention, where n =8, r =4, h 1 ＝1，h 2 ＝1，α 1 ＝45°，α 2 Schematic plan view at =45 °.
Fig. 11 shows that in the embodiment 1 of the novel tensegrity ring structure, n =8,r =4,h 1 ＝1，h 2 ＝1，α 1 ＝45°，α 2 Schematic perspective view at 45 °.
FIG. 12 shows a novel tensegrity loop configuration in example 2 of the present invention, where n =10,r =4,h 1 ＝0.8，h 2 ＝1.5，α 1 ＝45°，α 2 Schematic plan view at =30 °.
FIG. 13 shows a novel tensegrity loop configuration in example 2 of the present invention, where n =10,r =4,h 1 ＝0.8，h 2 ＝1.5，α 1 ＝45°，α 2 Schematic perspective view at =30 °.
Detailed Description
For the purpose of making the object, construction and advantages of the present application more apparent, the present application will be described and illustrated with reference to the accompanying drawings and examples. It should be understood that the specific embodiments described herein are merely illustrative of the present application and are not intended to limit the present application. All other embodiments obtained by a person of ordinary skill in the art based on the embodiments provided in the present application without any inventive step are within the scope of protection of the present application.
As shown in fig. 1,2 and 3, the invention provides a novel tension integral ring structure, which comprises 3n (n is more than or equal to 3) nodes, 4n pressure lever units and 5n inhaul cable units, wherein the pressure levers are connected with the inhaul cables through the nodes, all the nodes are hinged nodes, the pressure lever units and the inhaul cable units can rotate at the nodes, each pressure lever unit comprises 2n inclined pressure levers and 2n stabilizing bars, and 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 outwards along the radial direction through 2 stabilizer bars with included angles of alpha, and an upper external node and a lower external node at the same internal node form a group; the 2n equal-length inclined pressing rods are crossed pairwise and connected with external nodes end to form a regular polygonal frustum pyramid serving as an outer ring of the annular tensioning integral structure; each internal node is connected with the adjacent upper and lower external nodes of the regular polygon through 4 oblique cables, and the upper and lower 2 external nodes of the same group are connected with each other through 1 vertical cable; the plane of the stabilizer bar on each internal node is a normal plane which is formed by a regular polygon circumscribed circle passing through the node; the tension integral ring structure is in rotational symmetry with respect to a regular polygon plane where the internal nodes are located, and the rotation angle is 2 pi/n.
The tensioned monolithic ring structure of the invention is uniquely defined by the following independent design parameters: number n of regular polygonal nodes of internal node, internal nodeThe radius r of the circumscribed circle of the point regular polygon and the length h of the upper and lower stabilizing rods 1 、h 2 Angle alpha between upper and lower stabilizing bars and horizontal plane 1 、α 2 . 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 having a radius R 1 ＝r+h 1 cosα 1 Lower polygon radius of R 2 ＝r+h 2 cosα 2 By setting the parameter h 1 、h 2 、α 1 、α 2 By taking different values, the tensioned integral rings with different geometric shapes can be obtained.
The annular tensioning integral structure has 6 independent self-stress modes, pre-stress exists in all the pressure rods, pre-stress exists in all the inhaul cables, and the integral structure meets the self-balance of the pre-stress. In consideration of symmetry, the structural members are divided into six groups, wherein 2n inclined pressure rods are used as a 1 st group of members, n upper stabilizing rods are used as a 2 nd group of members, n lower stabilizing rods are used as a 3 rd group of members, 2n upper inclined cables are used as a 4 th group of members, 2n lower inclined cables are used as a 5 th group of members, and n vertical cables are used as a 6 th group of members; the length and the distribution of the prestress of the same group of components are the same.
All the oblique pressure rods are equal in length and are crossed in pairs and connected end to form a regular polygonal frustum pyramid as an outer ring of the annular tensioning integral structure, the function is to bear the circumferential pressure and provide a structural framework for stretching the integral ring; the lengths of all the upper oblique cables and the lower oblique cables are respectively and correspondingly equal, and the lengths of all the vertical cables are equal, so that the compression bar force is balanced, and the self-stress balance is met; the length of the rod piece is defined by the number n of regular polygon nodes of the internal node, the radius r of the external circle of the regular polygon of the internal node, and the length h of the upper and lower stabilizing rods 1 、h 2 Angle alpha between upper and lower stabilizing bars and horizontal plane 1 、α 2 And (4) jointly determining. .
As shown in fig. 5, 6, 7, 8 and 9, the nodes of the structure of the invention can be divided into n groups, each group comprises 3 nodes, each group of nodes is rotationally symmetrical about the normal of the regular polygon of the internal nodes, and the rotation angle is 2 pi/n. The ith group of nodes comprises nodes with the node numbers of 3i-2,3i-1 and 3i, an internal node 3i is on a regular polygon, and external nodes 3i-2 and 3i-1 are connected with the node 3i through stabilizing bars.
The coordinates involved in the invention are:
the topological connection form of the invention is as follows:
1) Oblique depression bar
An inclined pressure rod 1 is connected between the node 2 and the node 3 n-2;
an inclined pressing rod 2 is connected between the node 1 and the node 3 n-1;
an oblique compression bar 2i-1 is connected between the node 3i-5 and the node 3i-1, wherein i =2,3, \ 8230;
a diagonal pressure rod 2i is connected between the node 3i-4 and the node 3i-2, wherein i =2,3, \ 8230;, n.
2) Stabilizer bar
A stabilizer bar 2i-1 is connected between the node 3i-2 and the node 3i, wherein i =1,2,3, \ 8230;, n;
and a lower stabilizing rod 2i is connected between the node 3i-1 and the node 3i, wherein i =1,2,3, \ 8230;, n.
3) Oblique cable
An inclined cable 1 is connected between the node 3 and the node 3 n-2;
a lower oblique cable 2 is connected between the node 3 and the node 3 n-1;
an upper oblique cable 3 is connected between the node 3n and the node 1;
a lower oblique cable 4 is connected between the node 3n and the node 2;
an upper oblique cable 4i-3 is connected between the node 3i and the node 3i-5, wherein i =2,3, \ 8230;, n;
a lower oblique cable 4i-2 is connected between the node 3i and the node 3i-4, wherein i =2,3, \ 8230;
an upper oblique cable 4i-1 is connected between the node 3 (i-1) and the node 3i-2, wherein i =2,3, \8230;, n;
a lower oblique cable 4i is connected between the node 3 (i-1) and the node 3i-1, wherein i =2,3, \ 8230;, n.
4) Vertical cable
A vertical cable i is connected between the node 3i-2 and the node 3i-1, wherein i =1,2,3, \ 8230;, n.
The length of the member of the invention is as follows:
1) Stabilizer bar: l Upper stabilizer bar ＝h 1 ，l Lower stabilizer bar ＝h 2 ；
2) Vertical cable:
3) Oblique depression bar:
4) An inclined cable:
example 1
As shown in fig. 10 and 11, the following parameters n =8, r =4, h are selected 1 ＝1，h 2 ＝1，α 1 ＝45°，α 2 =45 ° as a specific example of a tensioned monolithic ring structure having an upper and a lower ring surface of the same radius and being completely symmetrical with respect to the plane of the regular polygon in which the internal nodes lie.
Example 2
As shown in fig. 12 and 13, the following parameters n =10, r =4, h are selected 1 ＝0.8，h 2 ＝1.5，α 1 ＝45°，α 2 =30 ° as a specific example of a tensioned monolithic ring structure with upper and lower torus radii that are different and asymmetric about the plane of the regular polygon in which the internal nodes lie.
The above-mentioned embodiments only express several embodiments of the present application, and the description thereof is more specific and detailed, but not construed as limiting the scope of the invention. Any modification, equivalent replacement, improvement, etc. made within the spirit and principle of one or more embodiments of the present disclosure should be included in the protection scope of the present application.
Claims (9)
1. A novel tensioning integral ring structure is characterized by comprising 3n (n is more than or equal to 3) nodes, 4n pressure lever units and 5n inhaul cable units, wherein the pressure lever units are connected with the inhaul cable units through the nodes;
the compression bar unit comprises 2n inclined compression bars and 2n stabilization bars; the inhaul cable unit comprises 4n oblique cables and n vertical cables.
2. A novel tensegrity structure according to claim 1, wherein said 3n nodes include n internal nodes and 2n external nodes, each internal node being connected radially outwards to 2 external nodes respectively by 2 stabilizer bars having an included angle α in a regular polygonal plane having a radius r.
3. A novel tensegrity structure according to claim 1, wherein said 2n oblique pressing rods are equal in length, and said 2n oblique pressing rods are crossed two by two and connected end to end with external nodes to form a regular polygon prism table as an outer ring of the annular tensegrity structure.
4. A novel tensegrity ring structure according to claim 2, wherein each internal node is connected to two external nodes adjacent to the regular polygon plane with radius r by 4 oblique cables, and in the same group, the 2 external nodes are connected to each other by 1 vertical cable.
5. A novel tensegrity structure according to claim 4, characterized in that the stabilizer bar of each internal node is in the plane of a normal polygon circumscribing the node.
6. The novel tensegrity structure of claim 4, wherein the regular polygonal plane in which all internal nodes are located is rotationally symmetric with a rotation angle of 2 pi/n.
7. A novel class of tensegrity structures, according to claim 1, characterized by: the nodes are hinged nodes, and the pressure lever unit and the inhaul cable unit are only subjected to axial force of the nodes; all compression bars in the structure have pre-pressure, all guys have pre-tension, and the overall structure meets the self-balance of pre-stress.
8. A novel class of tensegrity structures, according to claim 1, characterized by: the upper and lower stabilizer bars connected to the inner node have different lengths (h _1, h _ 2) and angles (α _1, α _2, and α = α _1+ α _ 2) to the horizontal plane.
9. A novel class of tensegrity structures, according to claim 1, characterized by: the annular tensioning integral structure has 6 independent self-stress modes, the structural components in the structure are divided into six groups, 2n inclined compression rods are 1 group of components, n upper stabilizing rods are 2 group of components, n lower stabilizing rods are 3 group of components, 2n upper inclined cables are 4 group of components, 2n lower inclined cables are 5 group of components, and n vertical cables are 6 group of components; the length and the prestress distribution of the same group of components are the same.
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Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN114575461A (en) * | 2022-03-16 | 2022-06-03 | 中山大学 | Nested annular tensioning integral structure spliced in modularization mode |
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Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
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| CN114575461A (en) * | 2022-03-16 | 2022-06-03 | 中山大学 | Nested annular tensioning integral structure spliced in modularization mode |
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