CN110552428B - Spiral stretch-draw overall structure - Google Patents
Spiral stretch-draw overall structure Download PDFInfo
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- CN110552428B CN110552428B CN201910739786.1A CN201910739786A CN110552428B CN 110552428 B CN110552428 B CN 110552428B CN 201910739786 A CN201910739786 A CN 201910739786A CN 110552428 B CN110552428 B CN 110552428B
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- 239000010410 layer Substances 0.000 claims abstract description 56
- 239000002344 surface layer Substances 0.000 claims abstract description 23
- 239000000178 monomer Substances 0.000 claims abstract description 21
- 230000006835 compression Effects 0.000 claims description 7
- 238000007906 compression Methods 0.000 claims description 7
- 239000000463 material Substances 0.000 description 3
- 238000005452 bending Methods 0.000 description 1
- 230000009286 beneficial effect Effects 0.000 description 1
- 238000007596 consolidation process Methods 0.000 description 1
- 230000007547 defect Effects 0.000 description 1
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- 238000005457 optimization Methods 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 spiral tensioning integral structure which comprises m monomers connected end to end, wherein each monomer is provided with three bottom surface layers, the joint of the two monomers shares one bottom surface layer, the central axis of the structure passes through the center of each bottom surface layer, and each bottom surface layer is vertical to the central axis of the structure; the spiral tensioning integral structure is composed of nodes, arc-shaped rods, straight rods, layer cables and stay cables. Each bottom surface layer is provided with n nodes, and a regular n-polygon is formed on the bottom surface. The structural rod pieces are connected end to form a pressed whole, and a cylindrical space is supported in the structure; the layer cables and the stay cables of the structure are connected with each other, and a continuous tension area is formed on the outer layer of the structure. The repeatable single body forms an integral structure with a spiral appearance, the structure is attractive in appearance, good in rigidity, simple and efficient, and the integral structure is a practical stretching integral structure.
Description
Technical Field
The invention relates to a tensioning integral structure, in particular to a tensioning integral structure with arc-shaped rods and interconnected rod pieces, and belongs to the technical field of prestressed cable-rod structures.
Background
A tensegrity is a stable, self-balancing structure formed by the inclusion of a number of discrete compression structures in a continuous set of tension members. The integral tension structure has the advantages of good permeability, high material utilization rate, beautiful shape and the like, and is widely concerned by the academic and engineering fields.
In the past decades, researchers have made great progress in the design, shape finding, optimization, etc. of tensioned monolithic structures. However, in the field of actual building engineering, the figure of the whole tensioning application is rarely seen. One of the main reasons for this is that the conventional tensegrity structure often has a problem of low overall rigidity of the structure. Previous studies have shown that the use of continuous rods as a compression member can increase the stiffness and efficiency of the structure. At present, a spiral tensioning integral structure adopting an arc rod piece is not available. The structure system can be applied to the fields of walking bridges, building galleries, building devices, sculptures and the like.
Disclosure of Invention
The invention aims to make up the defect that the practical available form of a tensioning integral structure is limited, and provides a spiral tensioning integral structure which is provided with arc-shaped rod pieces and is connected with the rod pieces.
The purpose of the invention is realized by the following technical scheme: a spiral tensioning integral structure comprises m single bodies which are connected end to end, each single body is provided with three bottom surface layers, the joint of the two single bodies shares one bottom surface layer, the central axis of the structure passes through the center of each bottom surface layer and is vertical to the bottom surface layer, and all the bottom surface layers are arranged at equal intervals along the central axis;
the spiral tensioning integral structure consists of nodes, arc-shaped rods, straight rods, layer cables and stay cables;
each bottom surface layer is provided with n nodes and forms a regular n-polygon, wherein n is an integer greater than or equal to 3; along the direction of the central axis of the structure, the rear regular n-polygon rotates by pi/n clockwise compared with the front regular n-polygon;
the straight rod is connected with nodes between two adjacent layers along the central axis of the structure in a clockwise direction, and the rotation angle of a connecting line of the nodes at two ends of the single straight rod and the central point of each regular n-polygon on a projection plane vertical to the central axis of the structure is 3 pi/n;
the arc-shaped rod is sequentially connected with three nodes positioned on three adjacent bottom surface layers along the central axis of the structure in an anticlockwise direction, and the rotating angle of a connecting line of the three nodes and the central point of each positioned regular n-polygon on a projection plane vertical to the central axis of the structure is pi/n; all the arc-shaped rods extend spirally and are connected with all the nodes on the path;
from the first bottom layer, connecting n nodes on the same layer into a regular n-polygon in series by using a layer cable at every other layer, wherein each monomer has two layer cables, and the two connected monomers share one layer cable; the stay cable connects two adjacent nodes of two adjacent layers clockwise;
the helical tensioned monolithic structure is uniquely defined by the following parameters: the curve equation gamma of the structural central axis, the number m of the monomers, the number n of nodes of each bottom surface layer and the radius R of the circumscribed circle of the regular n-polygon.
Further, the total number of nodes of the structure is determined by the number m of the structural monomers and the number n of the nodes of each bottom layer, and the total number of the nodes is 2mn if the structure is ring-shaped, and the total number of the nodes is (2m +1) n if the structure is not ring-shaped.
Furthermore, the structure has 3mn rod pieces, wherein the arc rods have mn and the straight rods have 2 mn; the straight rods are connected end to end and are hinged; the arc-shaped rods on the same spiral line are connected end to end and fixedly connected; the arc-shaped rod is arranged outside the straight rod, the arc-shaped rod and the straight rod are mutually interwoven, and the whole spiral tensioning integral structure is filled in a spiral net structure form to form a pressed whole; this particular form of rod connection supports a cylindrical space in the centre of the structure.
Further, when the spiral tensioning integral structure is annular, the total number of the spiral tensioning integral structure is 2mn + m cables, wherein m cables are arranged at the layer, 2mn cables are arranged at the inclined stay cables, and when the spiral tensioning integral structure is not annular, the total number of the spiral tensioning integral structure is 2mn + m +1 cables, wherein m +1 cables are arranged at the layer, and 2mn cables are arranged at the inclined stay cables; the layer cables and the stay cables form a continuous tension area which is positioned at the outermost layer of the whole structure, and the arc-shaped rods and the straight rods are wrapped in the structure; a compression whole body formed by an arc-shaped rod and a straight rod and a layer cable and a stay cable positioned on the outer layer of the structure form a spiral tension whole structure together.
Further, the form of the spiral tensioning integral structure is changed along with the curve equation gamma of the central axis of the structure; along the structure central axis, the whole structure can be deconstructed into m monomers.
Further, when the curve equation gamma of the central axis is a straight line or a special curve such as a circle, the structure can be decomposed into m repeatable monomers.
The invention has the beneficial effects that: the compression components in the spiral tension integral structure are not limited to general discrete straight rods, but arc-shaped rods are adopted, the rod pieces are connected with each other, and the arc-shaped rods and the straight rods jointly form a complete compression integral body. The introduction of curved bars provides more possibilities for the presentation of the tensegrity structure, while the interconnected rods provide the structure with a better stiffness than tensegrity structures that typically employ discrete rods. The invention provides a new feasibility for the realization of the integral tensioning structure in practical engineering.
Drawings
FIG. 1 is a schematic drawing in line;
FIG. 2 is a front view in line;
FIG. 3 is a straight left side view;
FIG. 4 is a schematic representation of a repeatable monomer in structure;
FIG. 5 is a schematic view of a node;
FIG. 6 is a schematic view of an arcuate rod;
FIG. 7 is a straight bar schematic view;
FIG. 8 is a schematic of a layer cable;
FIG. 9 is a schematic of a stay cable;
FIG. 10 is a schematic view of the torus type;
fig. 11 is an arbitrary curve type schematic diagram.
Detailed Description
As shown in fig. 1-11, the spiral tensioned monolithic structure of the present invention is embodied as follows:
the spiral tension integral structure is formed by connecting m single bodies end to end, as shown in figure 4. When the structure is not annular, the structure consists of (2m +1) n nodes, mn arc-shaped rods, 2mn straight rods, m +1 layer cables and 2mn stay cables, the structure has 2m +1 bottom layer, each bottom layer has n nodes and forms a regular n-edge shape, and n is any integer greater than or equal to 3. The axis of structure passes through the center of positive n polygon on each bottom surface layer, and every bottom surface layer all is perpendicular to the axis of structure. The total number of nodes of the spiral tension monolithic structure is determined by the number m of structural monomers and the number n of regular polygon edges selected on the bottom surface of each layer.
As shown in fig. 5, the nodes are arranged at equal intervals along the central axis of the structure with the regular n-polygon on the bottom layer as a unit. And along the direction of the central axis of the structure, the rear regular n-shaped polygon rotates by pi/n clockwise compared with the front regular n-shaped polygon. Each monomer occupies three layers of nodes, and the joint of the two monomers shares one layer of nodes.
As shown in fig. 7, the straight rod is connected with the nodes between two adjacent layers along the central axis of the structure in a clockwise direction, and the rotation angle of the connecting line of the nodes at two ends of a single rod and the central point of the regular n-polygon where the nodes are located on the projection plane is 3 pi/n; as shown in fig. 6, the arc-shaped rods are sequentially connected with three nodes located on three adjacent bottom layers along the central axis of the structure in the counterclockwise direction, the rotation angle of a connecting line of the three nodes and the central point of each regular n-polygon on a projection plane perpendicular to the central axis of the structure is pi/n, and the arc-shaped rods extend spirally and are connected with all the nodes on the path. The straight rods are connected end to end, and the nodes are hinged. The arc-shaped rods on the same spiral line are connected end to end, and the joints adopt a consolidation form. The arc-shaped rods and the straight rods are mutually interwoven, and the whole structure is filled in a spiral net structure form to form a pressed whole. This particular form of rod connection supports a cylindrical space in the centre of the structure.
As shown in fig. 8, from the first floor layer, n nodes on the same layer are connected in series into a regular n-polygon by using a layer cable on every other layer, each monomer has two layer cables, and one layer cable is shared between two connected monomers. As shown in fig. 9, the stay cables connect two adjacent nodes of two adjacent layers in a clockwise direction. The layer cables and the stay cables form a continuous tension area which is positioned at the outermost layer of the whole structure, and the arc-shaped rods and the straight rods are wrapped inside the structure. A compression whole body formed by the arc-shaped rods and the straight rods and a layer cable and a stay cable which are positioned on the outer layer of the structure form a spiral tension whole structure with good bending rigidity.
The whole spiral tension monolithic structure is uniquely determined by the following parameters: the curve equation gamma of the central axis of the structure, the number m of the monomers, the number n of nodes of the bottom surface of each layer and the radius R of the circumscribed circle of the bottom surface of the regular n-sided polygon. The form of the spiral tension integral structure can be changed along with the curve equation gamma of the central axis of the structure, such as a straight line type shown in figures 1-3, a circular ring type shown in figure 10, an arbitrary curve type shown in figure 11 and the like. When the form of the spiral tensioning integral structure is annular, each structure of the spiral tensioning integral structure has 2mn nodes, mn arc-shaped rods, 2mn straight rods, m layer cables and 2mn stay cables. Along the central axis of the spiral stretching integral structure, the integral structure can be deconstructed into m monomers. Particularly, when the curve equation gamma of the central axis of the spiral tension integral structure is a straight line, a circle and other special curves, the structure can be decomposed into m repeatable single bodies.
The spiral tensioning integral structure can be applied to occasions such as corridors, landscape bridges, sculptures and the like. For example, when the equation of the curve of the central axis is a straight line, it can be used as a corridor between buildings. The extremely high material utilization rate and the structural efficiency of this structure can the at utmost reduce vestibule dead weight and material consumption, and the constitution form of assembled can reduce the site operation degree of difficulty to a very great extent.
Claims (6)
1. A spiral tensioning integral structure is characterized by comprising m single bodies which are connected end to end, wherein each single body is provided with three bottom surface layers, the joint of the two single bodies shares one bottom surface layer, a central axis of the structure passes through the center of each bottom surface layer and is vertical to the bottom surface layer, and all the bottom surface layers are arranged at equal intervals along the central axis;
the spiral tensioning integral structure consists of nodes, arc-shaped rods, straight rods, layer cables and stay cables;
each bottom surface layer is provided with n nodes and forms a regular n-polygon, wherein n is an integer greater than or equal to 3; along the direction of the central axis of the structure, the rear regular n-polygon rotates by pi/n clockwise compared with the front regular n-polygon;
the straight rod is connected with nodes between two adjacent layers along the central axis of the structure in a clockwise direction, and the rotation angle of a connecting line of the nodes at two ends of the single straight rod and the central point of each regular n-polygon on a projection plane vertical to the central axis of the structure is 3 pi/n;
the arc-shaped rod is sequentially connected with three nodes positioned on three adjacent bottom surface layers along the central axis of the structure in an anticlockwise direction, and the rotating angle of a connecting line of the three nodes and the central point of each positioned regular n-polygon on a projection plane vertical to the central axis of the structure is pi/n; all the arc-shaped rods extend spirally and are connected with all the nodes on the path;
from the first bottom layer, connecting n nodes on the same layer into a regular n-polygon in series by using a layer cable at every other layer, wherein each monomer has two layer cables, and the two connected monomers share one layer cable; the stay cable connects two adjacent nodes of two adjacent layers clockwise;
the helical tensioned monolithic structure is uniquely defined by the following parameters: the curve equation gamma of the structural central axis, the number m of the monomers, the number n of nodes of each bottom surface layer and the radius R of the circumscribed circle of the regular n-polygon.
2. A spiral tensioned monolithic structure according to claim 1 wherein the total number of nodes of the structure is determined by the number m of structural elements and the number n of nodes per floor layer, and wherein there are 2mn nodes if the structure is circular and (2m +1) n nodes if the structure is not circular.
3. The helical tensegrity structure of claim 1, having a total of 3mn bars, with mn arc bars and 2mn straight bars; the straight rods are connected end to end and are hinged; the arc-shaped rods on the same spiral line are connected end to end and fixedly connected; the arc-shaped rod is arranged outside the straight rod, the arc-shaped rod and the straight rod are mutually interwoven, and the whole spiral tensioning integral structure is filled in a spiral net structure form to form a pressed whole; this particular form of rod connection supports a cylindrical space in the centre of the structure.
4. The spiral tensioned monolithic structure according to claim 1 wherein the spiral tensioned monolithic structure has a total of 2mn + m cables, wherein m cables are laid, and 2mn cables are stayed, and a total of 2mn + m +1 cables, wherein m +1 cables are laid, and 2mn cables are stayed, when the structure is not circular; the layer cables and the stay cables form a continuous tension area which is positioned at the outermost layer of the whole structure, and the arc-shaped rods and the straight rods are wrapped in the structure; a compression whole body formed by an arc-shaped rod and a straight rod and a layer cable and a stay cable positioned on the outer layer of the structure form a spiral tension whole structure together.
5. The helical tensegrity structure of claim 1, wherein the form of said helical tensegrity structure varies according to the curvilinear equation γ of the central axis of the structure; along the structure central axis, the whole structure can be deconstructed into m monomers.
6. A helical tensegrity structure according to claim 5, wherein when the equation γ for the curve of the central axis is a special curve such as a straight line or a circle, the structure is deconstructable into m repeatable single bodies.
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| CN111395534B (en) * | 2020-03-25 | 2021-03-23 | 浙江大学 | 30-rod spherical tensioning integral movable structure |
| CN113107091B (en) * | 2021-04-16 | 2022-08-30 | 孟艳 | Elastic structure |
| CN114228929B (en) * | 2021-12-31 | 2022-12-23 | 上海刊宝科技有限公司 | Tension leg ocean platform for offshore photovoltaic power generation |
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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 |
| DE102010005461A1 (en) * | 2010-01-21 | 2011-07-28 | Universität Kassel, 34125 | Connection and front team node for tensegrity structures, has hollow cylindrical terminal element, which is open at end and is provided with detour ring |
| 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 |
| CN103790233A (en) * | 2014-01-21 | 2014-05-14 | 浙江大学 | Stretching and drawing integral structure in shape similar to frustum of regular hexagonal prism |
| CN106021930B (en) * | 2016-05-23 | 2018-10-19 | 哈尔滨工业大学 | Minimum mass tension integral structure design method under torsional moment effect |
| CN106522368B (en) * | 2016-10-12 | 2018-10-26 | 浙江大学 | Circular ring shape tension integral structure |
| CN106703199B (en) * | 2017-02-13 | 2022-04-05 | 北京科技大学 | Combined type tensioning integral structure capable of being expanded in three dimensions |
| CN108060720B (en) * | 2017-12-12 | 2019-07-09 | 北京科技大学 | A kind of heart tension integral structure |
| CN108824646A (en) * | 2018-07-12 | 2018-11-16 | 悉地国际设计顾问（深圳）有限公司 | A kind of reverse taper spiral building structure with high torsional property |
| CN109812022B (en) * | 2019-01-28 | 2021-04-09 | 中国五冶集团有限公司 | Construction method of cable net structure with double oblique arches and double parabolic surfaces |
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