CN102619281B - Spherical reticulated shell composed of connected quadrilateral-planed six-rod tetrahedron units - Google Patents

Spherical reticulated shell composed of connected quadrilateral-planed six-rod tetrahedron units Download PDF

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CN102619281B
CN102619281B CN201210079062.7A CN201210079062A CN102619281B CN 102619281 B CN102619281 B CN 102619281B CN 201210079062 A CN201210079062 A CN 201210079062A CN 102619281 B CN102619281 B CN 102619281B
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warp
wise
chord
hoop
adopt
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CN102619281A (en
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董石麟
郑晓清
白光波
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Zhejiang University ZJU
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Zhejiang University ZJU
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Abstract

The invention discloses a spherical reticulated shell composed of connected quadrilateral-planed six-rod tetrahedron units. In the structure of the prior art, the number of node concurrent rod pieces is large, which leads the installation and the construction to be difficult. The quadrilateral-planed six-rod tetrahedron unit comprises an upper chord, a lower chord and four web members. The upper chord and the lower chord are in space quadrature arrangement at the center of the rod pieces; the four web members are respectively connected with the upper chord and the lower chord; the spherical reticulated shell is formed by radially and toroidally extending quadrilateral-planed six-rod tetrahedron unit along the open-mouthed spherical shell; among the basic units, the nodes of the upper chords are connected and the nodes of the lower chords are connected; when the quadrilateral-planed six-rod tetrahedron units radially extend, the radial rod pieces of each unit are the same in length, the toroidal rod pieces of each unit have linear variation in length, and a circle of rod pieces are added in the inner ring of the structure from the opening edge to the bottom edge of the shell body. The spherical reticulated shell has stable structure, fewer node concurrent rod pieces and simple and beautiful shape.

Description

A kind of sphere net case that is connected combination by quadrangular plan six bar tetrahedron elements
Technical field
The present invention relates to building field, relate in particular to a kind of sphere net case that is connected combination by quadrangular plan six bar tetrahedron elements.
Background technology
Pyrometric cone unit, quadrangular pyramid units and six cube-corner elements are basic composition unit of current rack and latticed shell structure.Pyrometric cone unit is made up of 6 rod members, is a kind of structure elementary cell of geometrical stability, make its composition latticed shell structure need to be between elementary cell extension connecting rod.Pyrometric cone net shell is the basic composition unit taking inverted pyrometric cone as net shell, and along with the different laying modes in pyrometric cone unit, upper lower edge grid can be triangle or hexagon, thus the different pyrometric cone net shell of the form of the composition.Quadrangular pyramid units is made up of 8 rod members, is a kind of how much unsettled structure elementary cells, make its composition latticed shell structure need to be between elementary cell extension connecting rod.Lower edge plane grid quadrangularly on the latticed shell structure being made up of this elementary cell, according to the different laying modes of quadrangular pyramid units, can obtain various forms of quadrangular pyramid net shells.Six cube-corner elements are made up of 12 rod members, are a kind of how much unsettled structure elementary cells, make its composition latticed shell structure need to be between elementary cell extension connecting rod.On the latticed shell structure being made up of this elementary cell, lower edge plane grid becomes hexagon or triangle, can obtain hexagonal cone net shell.The elementary cell of above three kinds of existing structures to form latticed shell structure all need to be between elementary cell the extra connecting rod of extension, node junction rod member quantity is more, wherein quadrangular pyramid units and six cube-corner elements itself are how much unstable structures, and this installation and construction for structure brings certain difficulty.
Summary of the invention
The present invention is directed to the deficiencies in the prior art, proposed a kind of sphere net case that is connected combination by quadrangular plan six bar tetrahedron elements.
Quadrangular plan six bar tetrahedron elements are made up of a upper chord, a lower chord and four web members, the upper chord of this elementary cell and lower chord are that orthogonal space is arranged in rod member center, four web members connect respectively lower-chord panel point, form warp-wise hoop lower edge quadrangular plan six bar tetrahedron elementary cells or the hoop warp-wise lower edge quadrangular plan six bar tetrahedron elementary cells of winding up of winding up.
Can form according to the difference of unit installation position the wind up two-way fold-line-shaped Reticulated Dome Structures of hoop lower edge warp-wise and the two-way fold-line-shaped Reticulated Dome Structures of warp-wise lower edge hoop that winds up.
The two-way fold-line-shaped Reticulated Dome Structures of hoop lower edge warp-wise that winds up winds up hoop lower edge quadrangular plan six bar tetrahedron elementary cells along opening spherical shell to warp-wise by warp-wise and hoop expansion forms, the node that wherein winds up between each elementary cell is connected with the node that winds up, lower-chord panel point is connected with lower-chord panel point, warp-wise wind up hoop lower edge quadrangular plan six bar tetrahedron elementary cells while expanding to warp-wise from opening edge to housing base, it is isometric that each unit warp-wise rod member keeps, hoop rod member length linear change, increases by a ring to rod member at the structure inner ring node that winds up.
The two-way fold-line-shaped Reticulated Dome Structures of warp-wise lower edge hoop that winds up winds up warp-wise lower edge quadrangular plan six bar tetrahedron elementary cells along opening spherical shell to warp-wise by hoop and hoop expansion forms, the node that wherein winds up between each elementary cell is connected with the node that winds up, lower-chord panel point is connected with lower-chord panel point, hoop wind up warp-wise lower edge quadrangular plan six bar tetrahedron elementary cells while expanding to warp-wise from opening edge to housing base, it is isometric that each unit warp-wise rod member keeps, hoop rod member length linear change, increases by a ring to rod member at structure inner ring lower-chord panel point.
Can obtain respectively four kinds of structures to two kinds of fold-line-shaped Reticulated Dome Structures according to the upper and lower string joint structure of difference and different beam, bar unit laying.Warp-wise chord member, hoop chord member and web member all adopt beam element, and all nodes all adopt rigid joint; Warp-wise chord member and hoop chord member adopt beam element, and web member adopts bar unit, and all nodes all adopt semi-rigid joint half hinged joint, between chord member, connect to adopt to rigidly connect connection, is connected employing and is articulated and connected between web member and chord member; Warp-wise chord member adopts beam element, hoop chord member and web member adopt bar unit, and warp-wise chord member intermediate node adopts semi-rigid joint half hinged joint, between warp-wise chord member, connect to adopt to rigidly connect connection, between web member and warp-wise chord member, be connected to adopt and be articulated and connected, all the other nodes all adopt and are articulated and connected; Warp-wise chord member, hoop chord member and web member all adopt bar unit, and all nodes all adopt hinged joint.
Two kinds of fold-line-shaped Reticulated Dome Structures respectively corresponding four kinds of specific constructive form peripheries all can be set to unmoved hinged seating.
The beneficial effect that the present invention has:
1. quadrangular plan six bar tetrahedron element geometrical stabilities, node junction rod member is few
Plane quadrilateral six bar tetrahedron elements are similar to pyrometric cone unit, itself are exactly a stable geometry unchanged body.In the Reticulated Dome Structures that elementary cell forms thus, the rod member that meets at the node that winds up has the six roots of sensation, and the rod member that meets at lower-chord panel point also has the six roots of sensation.Conventional having in all kinds of latticed shell structures of top-bottom chord, the rod member number of this structural system is relative with nodes is minimum.
2. can connect into double-deck effect, simply constructed sphere net case
Quadrangular plan six bar tetrahedron elements, just can connect and combine Reticulated Dome Structures without setting up separately in leverage situation, and it is unique therefore to have advantages of with respect to elementary cells such as at present conventional pyrometric cones.Because quadrangular plan six bar tetrahedron elements have upper and lower chord member, so also can be played to a certain extent the effect of two-grid structure by the structure of this unit connection combination, be conducive to structural entity stressed.
3. architectural image is succinct, attractive in appearance, Space is strong
The Reticulated Dome Structures of existing elementary cell composition, architectural image is single and Space is not strong.But the upper and lower surface of the Reticulated Dome Structures being made up of quadrangular plan six bar tetrahedron elementary cells has different architectural images, wherein hoop fold-line-shaped surface is both as a petal in full bloom, again as a umbrella strutting, radially fold-line-shaped surface is again just as an organ of playing, graceful unique, there is strong Space.
4. need to select multiple different structural concept according to different engineering practices
It is the emphasis of Spatial Lattice Shells design that bar element type is chosen with design of node, based on structural entity force request, bar element type can be chosen respectively bar unit and beam element, and connected node can adopt the form of architecture joints such as rigid joint, semi-rigid joint half hinged joint and hinged joint.Therefore this latticed shell structure exists multiple different structural concept to be conducive to carry out as the case may be multi-scheme in Practical Project relatively to select.
5. be convenient to lifting, transport, standardization, suitability for industrialized production
This is more single as a stable geometry unchanged body and its rod member and node for quadrangular plan six bar tetrahedron elements, size is little, storage, transport, handling, install all more conveniently, adopt small machine equipment common laborer just can carry out the assembled work of net shell.The rod member of elementary cell and node are convenient to batch production, standardization is made, and can produce in batches in factory, are conducive to improve machining accuracy, reduce site operation workload, accelerating construction progress, reduction material consumption and construction costs.All various various structural members and joint forms of processing and fabricating specification in batch of most of steel work manufacturing enterprise, can accept user and order goods.
Brief description of the drawings:
Fig. 1 (a) is the hoop lower edge quadrangular plan six bar tetrahedron basic cell structure figure that wind up of warp-wise in the present invention;
Fig. 1 (b) is the warp-wise lower edge quadrangular plan six bar tetrahedron basic cell structure figure that wind up of hoop in the present invention;
Fig. 2 (a) is the two-way fold-line-shaped Reticulated Dome Structures of the hoop lower edge warp-wise figure that winds up in the present invention;
Fig. 2 (b) is the two-way fold-line-shaped Reticulated Dome Structures of the warp-wise lower edge hoop figure that winds up in the present invention;
Four kinds of concrete structure figure that Fig. 3 (a) and (b), (c), (d) are the two-way fold-line-shaped Reticulated Dome Structures of hoop lower edge warp-wise that winds up;
Four kinds of concrete structure figure that Fig. 4 (a) and (b), (c), (d) are the two-way fold-line-shaped Reticulated Dome Structures of warp-wise lower edge hoop that winds up.
Detailed description of the invention
The present invention is directed to the deficiencies in the prior art, proposed a kind of sphere net case that is connected combination by quadrangular plan six bar tetrahedron elements.
As shown in Figure 1 (a), (b) shows, quadrangular plan six bar tetrahedron elements are made up of a upper chord 1, lower chord 3 and web member 2, upper chord 1 and the lower chord 3 of this elementary cell is that orthogonal space is arranged in rod member center, four web members connect respectively lower-chord panel point, form warp-wise hoop lower edge quadrangular plan six bar tetrahedron elementary cells or the hoop warp-wise lower edge quadrangular plan six bar tetrahedron elementary cells of winding up of winding up.
Can form according to the difference of unit installation position the wind up two-way fold-line-shaped Reticulated Dome Structures of hoop lower edge warp-wise or the two-way fold-line-shaped Reticulated Dome Structures of warp-wise lower edge hoop that winds up.
As shown in Figure 2 (a) shows, the two-way fold-line-shaped Reticulated Dome Structures of hoop lower edge warp-wise that winds up winds up hoop lower edge quadrangular plan six bar tetrahedron elementary cells along opening spherical shell to warp-wise by warp-wise and hoop expansion forms, the node that wherein winds up between each elementary cell is connected with the node that winds up, lower-chord panel point is connected with lower-chord panel point, warp-wise wind up hoop lower edge quadrangular plan six bar tetrahedron elementary cells while expanding to warp-wise from opening edge to housing base, it is isometric that each unit warp-wise rod member keeps, hoop rod member length linear change.In order to meet structure sealing requirement, increase by a ring to rod member at the structure inner ring node that winds up.
As shown in Fig. 2 (b), the two-way fold-line-shaped Reticulated Dome Structures of warp-wise lower edge hoop that winds up winds up warp-wise lower edge quadrangular plan six bar tetrahedron elementary cells along opening spherical shell to warp-wise by hoop and hoop expansion forms, the node that wherein winds up between each elementary cell is connected with the node that winds up, lower-chord panel point is connected with lower-chord panel point, hoop wind up warp-wise lower edge quadrangular plan six bar tetrahedron elementary cells while expanding to warp-wise from opening edge to housing base, it is isometric that each unit warp-wise rod member keeps, hoop rod member length linear change.In order to meet structure sealing requirement, increase by a ring to rod member at structure inner ring lower-chord panel point.
Can obtain respectively four kinds of structures to two kinds of fold-line-shaped Reticulated Dome Structures according to the upper and lower string joint structure of difference and different beam, bar unit laying.
As shown in Fig. 3 (a), Fig. 4 (a), warp-wise chord member, hoop chord member and web member all adopt beam element, and all nodes all adopt rigid joint; As shown in Fig. 3 (b), Fig. 4 (b), warp-wise chord member and hoop chord member adopt beam element, and web member adopts bar unit, and all nodes all adopt semi-rigid joint half hinged joint, between chord member, connect to adopt to rigidly connect connection, is connected employing and is articulated and connected between web member and chord member; As shown in Fig. 3 (c), Fig. 4 (c), warp-wise chord member adopts beam element, hoop chord member and web member adopt bar unit, warp-wise chord member intermediate node adopts semi-rigid joint half hinged joint, be between warp-wise chord member, to connect to adopt to rigidly connect connection, between web member and warp-wise chord member, be connected to adopt and be articulated and connected, all the other nodes all adopt and are articulated and connected; As shown in Fig. 3 (d), Fig. 4 (d), warp-wise chord member, hoop chord member and web member all adopt bar unit, and all nodes all adopt hinged joint.
Two kinds of fold-line-shaped Reticulated Dome Structures respectively corresponding four kinds of specific constructive form peripheries all can be set to unmoved hinged seating.

Claims (1)

1. one kind is connected the sphere net case of combination by quadrangular plan six bar tetrahedron elements, it is characterized in that: quadrangular plan six bar tetrahedron elements are made up of a upper chord, a lower chord and four web members, the upper chord of this elementary cell and lower chord are that orthogonal space is arranged in rod member center, four web members connect respectively lower-chord panel point, form warp-wise hoop lower edge quadrangular plan six bar tetrahedron elementary cells or the hoop warp-wise lower edge quadrangular plan six bar tetrahedron elementary cells of winding up of winding up;
Can form according to the difference of unit installation position the wind up two-way fold-line-shaped Reticulated Dome Structures of hoop lower edge warp-wise and the two-way fold-line-shaped Reticulated Dome Structures of warp-wise lower edge hoop that winds up;
The two-way fold-line-shaped Reticulated Dome Structures of hoop lower edge warp-wise that winds up winds up hoop lower edge quadrangular plan six bar tetrahedron elementary cells along opening spherical shell to warp-wise by warp-wise and hoop expansion forms, the node that wherein winds up between each elementary cell is connected with the node that winds up, lower-chord panel point is connected with lower-chord panel point, warp-wise wind up hoop lower edge quadrangular plan six bar tetrahedron elementary cells while expanding to warp-wise from opening edge to housing base, it is isometric that each unit warp-wise rod member keeps, hoop rod member length linear change, increases by a ring to rod member at the structure inner ring node that winds up;
The two-way fold-line-shaped Reticulated Dome Structures of warp-wise lower edge hoop that winds up winds up warp-wise lower edge quadrangular plan six bar tetrahedron elementary cells along opening spherical shell to warp-wise by hoop and hoop expansion forms, the node that wherein winds up between each elementary cell is connected with the node that winds up, lower-chord panel point is connected with lower-chord panel point, hoop wind up warp-wise lower edge quadrangular plan six bar tetrahedron elementary cells while expanding to warp-wise from opening edge to housing base, it is isometric that each unit warp-wise rod member keeps, hoop rod member length linear change, increases by a ring to rod member at structure inner ring lower-chord panel point;
Can obtain respectively four kinds of structures to two kinds of fold-line-shaped Reticulated Dome Structures according to the upper and lower string joint structure of difference and different beam, bar unit laying, warp-wise chord member, hoop chord member and web member all adopt beam element, and all nodes all adopt rigid joint; Warp-wise chord member and hoop chord member adopt beam element, and web member adopts bar unit, and all nodes all adopt semi-rigid joint half hinged joint, between chord member, connect to adopt to rigidly connect connection, is connected employing and is articulated and connected between web member and chord member; Warp-wise chord member adopts beam element, hoop chord member and web member adopt bar unit, and warp-wise chord member intermediate node adopts semi-rigid joint half hinged joint, between warp-wise chord member, connect to adopt to rigidly connect connection, between web member and warp-wise chord member, be connected to adopt and be articulated and connected, all the other nodes all adopt and are articulated and connected; Warp-wise chord member, hoop chord member and web member all adopt bar unit, and all nodes all adopt hinged joint;
Two kinds of fold-line-shaped Reticulated Dome Structures respectively corresponding four kinds of specific constructive form peripheries all can be set to unmoved hinged seating.
CN201210079062.7A 2012-03-23 2012-03-23 Spherical reticulated shell composed of connected quadrilateral-planed six-rod tetrahedron units Active CN102619281B (en)

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CN102912853B (en) * 2012-10-18 2014-06-25 东南大学 Regular hexahedral symmetrical deployable mechanism unit
CN102953558A (en) * 2012-11-14 2013-03-06 中冶天工集团有限公司 Splitting method of basic unit of honeycomb-shaped triangular conical mesh shell structure
CN102953547B (en) * 2012-11-14 2015-10-28 中冶天工集团有限公司 Honeycomb type net shell pyrometric cone unit splicing method
CN104631684B (en) * 2014-12-26 2017-06-27 江苏沪宁钢机股份有限公司 Single-layer lattice shell steel house plane system and its assemble method based on concrete construction
CN105971328B (en) * 2016-06-29 2018-11-27 北京市建筑设计研究院有限公司 A kind of assembling type steel structure cooling tower being made of six bar tetrahedron elements
CN106894506B (en) * 2017-04-01 2022-05-20 江南大学 Large-span breathable structure system

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CN202509624U (en) * 2012-03-23 2012-10-31 浙江大学 Spherical surface latticed shell formed by connection and combination of quadrangle planar six-bar tetrahedron units

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