CN110761470B - Kaiwait type saddle surface cable dome structure - Google Patents

Kaiwait type saddle surface cable dome structure Download PDF

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Publication number
CN110761470B
CN110761470B CN201910971968.1A CN201910971968A CN110761470B CN 110761470 B CN110761470 B CN 110761470B CN 201910971968 A CN201910971968 A CN 201910971968A CN 110761470 B CN110761470 B CN 110761470B
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vertical rod
ring
end point
common vertical
cable
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CN110761470A (en
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袁行飞
冯越
艾科热木江·塞米
余杰
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Zhejiang University ZJU
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Zhejiang University ZJU
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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
    • E04B7/08—Vaulted roofs
    • E04B7/10—Shell structures, e.g. of hyperbolic-parabolic shape; Grid-like formations acting as shell structures; Folded structures
    • E04B7/105—Grid-like structures
    • 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

Abstract

The invention provides a Kaiwait saddle surface cable dome structure which comprises radial cables, annular cables and vertical rods, wherein N pieces of M rings can be arranged. Among them, there are (NM)2+2) nodes, NM2Root radial cables, NM (M-1)/2 circumferential cables, NM (M-1)/2 common vertical rods and 1 central vertical rod. The structure composition of each lobe is the same, the projection topological relation in the Z-axis direction is the same, and the included angle is 2 pi/N. The upper layer nodes and the lower layer nodes are distributed in a saddle shape, and the Z-direction projection distribution is in a circular ring shape. The upper end or the lower end of the vertical rod is connected with the lower end or the upper end of the vertical rod which is arranged adjacently on the adjacent ring through a radial cable, the upper end or the lower end of the vertical rod is connected with the lower end or the upper end of the vertical rod which is arranged adjacently on the same ring through a circumferential cable, the outermost ring of the radial cable is fixed on the support, the upper end and the lower end of the central vertical rod are respectively connected with 2 cables, and the upper end and the lower end of other vertical rods are. The Z-direction projection of the invention is Kaiwait, the whole structure is saddle surface, the structural efficiency is high, and the invention can be applied to the roof structure of large-span buildings.

Description

Kaiwait type saddle surface cable dome structure
Technical Field
The invention relates to the technical field of cable dome structures, in particular to a Kaiwait saddle surface cable dome structure.
Technical Field
With the development of human science and technology and the abundance of social activities, the demands of large-span buildings such as gymnasiums, exhibition halls and waiting halls are increasing day by day, and the development of large-span spatial structures is greatly promoted. As a novel tension-like structure in a large-span space structure, a cable dome structure also enters a rapid development period.
The cable dome structure has large span, light dead weight and high structural efficiency, is the hot content of the current large-span space structure research, and has various forms such as a ribbed ring type, a sunflower type, a connected square shape, a honeycomb shape and the like at present. The saddle shape is an efficient and attractive structural form, is applied to an orthogonal cable net structure and is an efficient curved surface form. However, due to the particularity of the cable dome topological structure, and meanwhile, the cable dome structures in other curved surface shapes cannot completely guarantee the stability of the structure, most cable dome structures always use spherical curved surfaces as basic structural surfaces, and related cases of efficient combination of saddle-shaped curved surfaces and the basic forms of circular cable domes do not exist until now.
Disclosure of Invention
The invention aims to provide a Kaiwait saddle-shaped cable dome structure.
The technical scheme adopted by the invention is as follows: a Kaiwait type saddle surface cable dome structure is characterized in that: is composed of N petals and M rings, wherein N and M are natural numbers, N is more than or equal to 4, and M is more than or equal to 3. Structural tundishScratch NM2Root radial cables, NM (M-1)/2 circumferential cables, NM (M-1)/2 common vertical rods and 1 central vertical rod; each petal structure comprises M (M +1) radial cables, M (M-1)/2 circumferential cables and NM (M +1)/2-1 common vertical rods; the mth ring in each petal structure is composed of (M +1) common vertical bars, wherein M belongs to [1, M ]](ii) a In the N lobe structure, when the number of the lobes is odd, N is the number satisfying N E [1, N]When the number of the vertical rods is odd, the lower end point of the ith common vertical rod of the mth ring is connected with the upper end point of the ith common vertical rod of the (m +1) th ring through a radial cable; the upper end point of the ith common vertical rod of the mth ring is connected with the lower end point of the (i +1) th common vertical rod of the (m +1) th ring through a radial cable; i is an element of [1, m +1 ]]；
When the number of the lobes is even, namely N is an even number which meets the requirement that N belongs to [1, N ], the upper end point of the ith common vertical rod of the mth ring is connected with the lower end point of the ith common vertical rod of the (m +1) th ring through a radial cable; the lower end point of the ith common vertical rod of the mth ring is connected with the upper end point of the (i +1) th common vertical rod of the (m +1) th ring through a radial cable.
The radial cable connected from the common vertical rod of the (M-1) th ring is fixed on the support; the petals are connected with the petals in sequence, the positions of the common vertical rods at the connecting positions are overlapped, and the circumferential cables are connected with the upper end and the lower end of the common vertical rods adjacent to the same ring and are arranged in a closed manner along the circumferential direction; the lower end point of the central vertical rod is connected with the upper end point of the 1 st common vertical rod of the 1 st ring of odd petals through a radial cable, and the upper end point of the central vertical rod is connected with the lower end point of the 1 st common vertical rod of the 1 st ring of even petals through a radial cable; the coordinates of the upper end point and the lower end point of the central vertical rod and the common vertical rod meet the saddle surface curved surface formula.
Furthermore, the radial cables and the circumferential cables are connected with the vertical rods in a hinged mode, and the vertical rods and the cables can rotate relatively.
Compared with the prior art, the invention has the following advantages:
the invention fully utilizes the compression resistance of the vertical rod in the basic structure of the cable dome and the tensile resistance of the cable, combines the saddle-shaped structure applied to practical engineering, forms the saddle-shaped cable dome structure applicable to a circular roof, breaks through the current situation that the saddle is only applied to a cable net structure, improves the practicability and the aesthetic degree of the cable dome structure, and has higher practical engineering application value and economic value.
Drawings
Figure 1 is a perspective view of a kaiwait-type saddle surface cable dome structure of the present invention.
Figure 2 is a top view of a kaiwait-type saddle surface cable dome structure of the present invention.
Figure 3 is an elevation view of a kaiwait-type saddle surface cable dome structure of the present invention.
Figure 4 is a side view of a kaiwait-type saddle surface cable dome structure of the present invention.
FIG. 5 is a top view of a node distribution of a Kaiwait-type saddle surface cable dome structure of the present invention.
Figure 6 is a top view of one lobe of a Kaiwait-type saddle surface cable dome structure of the present invention.
FIG. 7 is a schematic view of a vertical rod numbering of a Kaiwait type saddle surface cable dome structure of the present invention.
Figure 8 is a perspective view of a 6-lobe 8-ring embodiment of a kaiwait-type saddle surface cable dome structure of the present invention.
Figure 9 is a top view of an embodiment of a kaiwatt-type saddle surface cable dome structure 6-segment 8 ring of the present invention.
Detailed Description
The following further describes the practice of the present invention in conjunction with the accompanying drawings.
As shown in figures 1 and 2, the Kaiwait saddle surface cable dome structure of the invention is composed of N pieces of M rings, wherein N and M are natural numbers, N is more than or equal to 4, and M is more than or equal to 3. Structure including NM2Root radial cables, NM (M-1)/2 circumferential cables, NM (M-1)/2 common vertical rods and 1 central vertical rod; each petal structure comprises M (M +1) radial cables, M (M-1)/2 circumferential cables and NM (M +1)/2-1 common vertical rods; the mth ring in each petal structure is composed of (M +1) common vertical bars, wherein M belongs to [1, M ]](ii) a In the N lobe structure, when the number of the lobes is odd, N is the number satisfying N E [1, N]When the number of the vertical rods is odd, the lower end point of the ith common vertical rod of the mth ring is connected with the upper end point of the ith common vertical rod of the (m +1) th ring through a radial cable; the upper end point of the ith common vertical rod of the mth ring is connected with the lower end point of the (i +1) th common vertical rod of the (m +1) th ring through a radial cable; i is an element of [1, m +1 ]]；
When the number of the lobes is even, namely N is an even number which meets the requirement that N belongs to [1, N ], the upper end point of the ith common vertical rod of the mth ring is connected with the lower end point of the ith common vertical rod of the (m +1) th ring through a radial cable; the lower end point of the ith common vertical rod of the mth ring is connected with the upper end point of the (i +1) th common vertical rod of the (m +1) th ring through a radial cable.
The radial cable connected from the common vertical rod of the (M-1) th ring is fixed on the support; the petals are connected with the petals in sequence, common vertical rods at the connecting positions are overlapped, and circumferential cables are connected with the upper ends and the lower ends of the common vertical rods adjacent to the same ring and are arranged in a closed manner along the circumferential direction; the lower end point of the central vertical rod is connected with the upper end point of the 1 st common vertical rod of the 1 st ring of odd petals through a radial cable, and the upper end point of the central vertical rod is connected with the lower end point of the 1 st common vertical rod of the 1 st ring of even petals through a radial cable; the coordinates of the upper end point and the lower end point of the central vertical rod and the common vertical rod meet the saddle surface curved surface formula. The overall structure is distributed in a saddle surface in the overall shape, the projections of the upper end point and the lower end point of each vertical rod in the Z direction are overlapped, namely the vertical rod direction is along the Z-axis direction, and the projection of the overall structure in the Z-axis direction is circular.
The vertical rod is provided with pre-stress, the radial cable and the annular cable are provided with pre-stress, and the structural pre-stress is self-balanced. The pretension stress of the radial cables and the circumferential cables is different along with the position change.
As shown in FIGS. 3, 4 and 5, the structures of each lobe have the same composition, the topological relation of projection in the Z-axis direction is the same, and the included angle is 2 pi/N. For convenience of understanding, the nodes are used for illustration, and are divided into upper nodes and lower nodes which are respectively upper end points and lower end points of the vertical rods. The outermost upper node is a support node which is fixed on the support through a radial cable connected from a (M-1) th common vertical rod, wherein the number of the upper nodes is { NM (M +1)/2+1}, the number of the lower nodes is { NM (M-1)/2+1}, each lower node corresponds to the lower node of one vertical rod, the Z-direction projection distribution is circular, the outermost ring of the radial cable is fixed on the support, and the fixed point on the support also meets the saddle surface curved surface formula.
FIG. 6 and FIG. 7 are top views of a certain lobe of the N-lobe M-ring Kaiwait type saddle surface cable dome structure, wherein a node P0,tRepresenting nodes on the center, P0,bRepresenting a central lower node, Pn,m,i,tThe nth lobe mth ring of the structure is represented and the ith upper node, P, is counted counterclockwisen,m,i,bThe nth lobe mth ring representing the structure counts the ith lower level node counterclockwise. The upper layer node and the lower layer node respectively satisfy a saddle surface curved surface formula.
The coordinates related to the nth lobe structure node in the invention are expressed by a cylindrical coordinate system as follows:
P0,t(0,0,0)
P0,b(0,0,-h0)
Pn,m,i,t(mrm,2π/N((i-1)/m+n-1),z)
Pn,m,i,b(mrm,2π/N((i-1)/m+n-1),z-hm)
the nth lobe of the structure represents the nth lobe structure counted counterclockwise with the first quadrant structure coincident with the X-axis in the XOY plane being the 1 st lobe.
Wherein N is equal to [1, N ∈]，m∈[1,M]，i∈[1,m+1]，h0Length of central vertical rod, hmIs the length of the m-th ring vertical rod rmThe z value is the horizontal distance between the mth ring node and the central point and accords with the saddle-shaped surface formula. P0,t，P0,bUpper and lower nodes, P, of a central vertical bar, respectivelyn,m,i,t，Pn,m,i,bThe upper node and the lower node are respectively an nth lobe and an mth ring vertical rod of the saddle-shaped cable dome. Due to the repetitiveness of the structure, Pn,m,m+1,tAnd Pn+1,m,1,tCoincidence, Pn,m,m+1,bAnd Pn+1,m,1,bCoincidence, namely: the last node of each ring of the nth lobe structure is superposed with the first node of each ring of the (N +1) th lobe structure, and the last node of each ring of the nth lobe structure is superposed with the first node of each ring of the 1 st lobe structure.
The topological relation of the invention is as follows:
1) vertical rod
Center vertical rod with P0,tIs an upper node, with P0,bIs a lower node; the m-th ring vertical rod is represented by Pn,m,i,tIs an upper node, with Pn,m,i,bIs the lower node. Wherein the vertical rods are distributed with (m-1) rings in total.
2) Radial cable
The upper node of the vertical rod is connected with the lower node of the vertical rod at the adjacent position on the adjacent ring through a radial cable, the lower node of the vertical rod is connected with the upper node of the vertical rod at the other adjacent position on the adjacent ring through a radial cable, the connection rule of the upper node and the lower node of the vertical rod is opposite, and the upper end and the lower end of the upper node and the lower node are not connected with the adjacent vertical rod at the same time, and the concrete expression is as follows:
in the 1 st lobe configuration:
central vertical rod H0Lower node P of0,bAnd the 1 st vertical rod H of the 1 st ring1,1,1Upper node P of1,1,1,tBy means of radial cables J1,1,1Connecting;
central vertical rod H0Upper node P of0,tAnd the 2 nd vertical rod H of the 1 st ring1,1,2Lower node P of1,1,1,bBy means of radial cables J1,1,2Connecting;
according to the rule of times, the ith vertical rod H of the mth ring1,m,iLower node P of1,m,I,bWith the ith (m +1) th vertical rod H1,m+1,iUpper node P of1,m+1,i,tBy means of radial cables J1,m+1,iConnecting;
ith vertical rod H of mth ring1,m,iUpper node P of1,m,i,tAnd the (i +1) th vertical rod H of the (m +1) th ring1,m+1,i+1Lower node P of1,m+1,i+1,bBy means of radial cables J1,m+1,i+1And (4) connecting.
In the nth lobe configuration:
when n is odd number, the lower node P of the ith vertical rod Hn, m, i of the mth ringn,m,i,bWith the ith (m +1) th vertical rod Hn,m+1,iUpper node P ofn,m+1,i,tBy means of radial cables Jn,m+1,iConnecting;
ith vertical rod H of mth ringn,m,iUpper node P ofn,m,i,tAnd the (i +1) th vertical rod H of the (m +1) th ring1,m+1,i+1Lower node P ofn,m+1,i+1,bBy means of radial cables Jn,m+1,i+1Connecting;
when n is even number, the m ring is the upper node P of the ith vertical rod Hn, m, in,m,i,tWith the ith (m +1) th vertical rod Hn,m+1,iLower node P ofn,m+1,i,bBy means of radial cables Jn,m+1,iConnecting;
ith vertical rod H of mth ringn,m,iLower node P ofn,m,i,bAnd the (i +1) th vertical rod H of the (m +1) th ring1,m+1,i+1Upper node P ofn,m+1,i+1,tBy means of radial cables Jn,m+1,i+1And (4) connecting.
And the (M-1) th ring radial cable is fixed at the outermost node and is fixed at the support.
3) Annular cable
The upper node of the vertical rod is connected with the lower node of the adjacent vertical rod on the same ring through a circumferential cable, the lower node of the vertical rod is connected with the upper node of the vertical rod on the other adjacent position on the same ring through a radial cable, the connection rule of the upper node and the lower node of the vertical rod is opposite, and the upper end and the lower end of the upper node and the lower node of the vertical rod are not connected with the adjacent vertical rod at the same time, and the concrete expression is as:
when the number of lobes is odd, i.e. n is odd, the ith vertical rod H of the mth ringn,m,iUpper node P ofn,m,i,tWith the (i +1) th vertical rod H of the mth ringn,m,i+1Lower node P ofn,m,i+1,bBy means of circumferential cables Rn,m,iConnecting;
when the number of lobes is even, i.e. n is even, the ith vertical rod H of the mth ringn,m,iLower node P ofn,m,i,bWith the (i +1) th vertical rod H of the mth ringn,m,i+1Upper node P ofn,m,i+1,tBy means of circumferential cables Rn,m,iAnd (4) connecting.
After the petals are connected with the petals in sequence, the positions of the common vertical rods at the connecting positions are overlapped, and the annular ropes are integrally connected with the upper ends and the lower ends of the common vertical rods adjacent to the same ring and are arranged in a closed manner along the annular direction;
6-petal 8-Ring embodiment
Fig. 8, 9 is a 6-petal 8-ring embodiment with N being 6 and M being 8, wherein there are 386 nodes, 384 radial cables, 168 circumferential cables, 169 common vertical rods and 1 central vertical rod, and the 6-petal 8-ring kaiwait saddle surface cable dome structure is formed.
The invention fully utilizes the compression resistance of the vertical rod in the basic structure of the cable dome and the tensile resistance of the cable, combines the saddle-shaped structure applied to practical engineering, forms the saddle-shaped cable dome structure applicable to a circular roof, breaks through the current situation that the saddle is only applied to a cable net structure, improves the practicability and the aesthetic degree of the cable dome structure, and has higher practical engineering application value and economic value.
The foregoing is only a preferred embodiment of the present invention, and it should be noted that, for those skilled in the art, various modifications and decorations can be made without departing from the concept of the present invention, and these modifications and decorations should be regarded as being within the protection scope of the present invention.

Claims (2)

1. A Kaiwait type saddle surface cable dome structure is characterized in that: the device consists of N petals and M rings, wherein N and M are natural numbers, N is more than or equal to 4, and M is more than or equal to 3; structure including NM2Root radial cables, NM (M-1)/2 circumferential cables, NM (M-1)/2 common vertical rods and 1 central vertical rod; each petal structure comprises M (M +1) radial cables, M (M-1)/2 circumferential cables and NM (M +1)/2-1 common vertical rods; the mth ring in each petal structure is composed of (M +1) common vertical bars, wherein M belongs to [1, M ]](ii) a In the N lobe structure, when the number of the lobes is odd, N is the number satisfying N E [1, N]When the number of the vertical rods is odd, the lower end point of the ith common vertical rod of the mth ring is connected with the upper end point of the ith common vertical rod of the (m +1) th ring through a radial cable; the upper end point of the ith common vertical rod of the mth ring is connected with the lower end point of the (i +1) th common vertical rod of the (m +1) th ring through a radial cable; i is an element of [1, m +1 ]]；
When the number of the lobes is even, namely N is an even number which meets the requirement that N belongs to [1, N ], the upper end point of the ith common vertical rod of the mth ring is connected with the lower end point of the ith common vertical rod of the (m +1) th ring through a radial cable; the lower end point of the ith common vertical rod of the mth ring is connected with the upper end point of the (i +1) th common vertical rod of the (m +1) th ring through a radial cable;
the radial cable connected from the common vertical rod of the (M-1) th ring is fixed on the support; the petals are connected with the petals in sequence, the positions of the common vertical rods at the connecting positions are overlapped, and the circumferential cables are connected with the upper end and the lower end of the common vertical rods adjacent to the same ring and are arranged in a closed manner along the circumferential direction; the lower end point of the central vertical rod is connected with the upper end point of the 1 st common vertical rod of the 1 st ring of odd petals through a radial cable, and the upper end point of the central vertical rod is connected with the lower end point of the 1 st common vertical rod of the 1 st ring of even petals through a radial cable; the coordinates of the upper end point and the lower end point of the central vertical rod and the common vertical rod meet the saddle surface curved surface formula.
2. The kaiwait-type saddle surface cable dome structure of claim 1, wherein: the radial cable and the circumferential cable are hinged with the vertical rod.
CN201910971968.1A 2019-10-14 2019-10-14 Kaiwait type saddle surface cable dome structure Active CN110761470B (en)

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US4901483A (en) * 1986-05-02 1990-02-20 Huegy Charles W Spiral helix tensegrity dome
US4757650A (en) * 1986-09-30 1988-07-19 Berger Horst L Cable dome system with main cables oriented along chords
CN103255944B (en) * 2013-05-17 2015-04-08 合肥通用机械研究院 Local double-layer spherical reticulated shell storage tank vault structure
CN104631620B (en) * 2015-01-20 2016-09-28 上海海事大学 A kind of negative Gaussian curvature Cable dome
CN104975670B (en) * 2015-06-25 2017-03-15 天津大学建筑设计研究院 A kind of not contour elliptic plane combined type cable dome structure in border

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