CN105350644B - A kind of tension integral structure unit based on hexahedron geometry - Google Patents

A kind of tension integral structure unit based on hexahedron geometry Download PDF

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Publication number
CN105350644B
CN105350644B CN201510695070.8A CN201510695070A CN105350644B CN 105350644 B CN105350644 B CN 105350644B CN 201510695070 A CN201510695070 A CN 201510695070A CN 105350644 B CN105350644 B CN 105350644B
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node
drag
line
hexahedron
connecting node
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CN105350644A (en
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陈耀
冯健
孙求知
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Southeast University
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Southeast University
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    • EFIXED CONSTRUCTIONS
    • E04BUILDING
    • E04BGENERAL BUILDING CONSTRUCTIONS; WALLS, e.g. PARTITIONS; ROOFS; FLOORS; CEILINGS; INSULATION OR OTHER PROTECTION OF BUILDINGS
    • E04B1/00Constructions in general; Structures which are not restricted either to walls, e.g. partitions, or floors or ceilings or roofs
    • E04B1/34Extraordinary 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

Abstract

The invention discloses a kind of tension integral structure unit based on hexahedron geometry, by 8 hinged joints, 4 depression bars and 12 drag-line compositions, 8 hinged joints are located at 8 apexes of hexahedron geometry respectively, 4 depression bars are located at hexahedral inside and overlapped respectively with hexahedral 4 body diagonals, and the two ends of 12 drag-lines are connected with two groups of opposed apexes of the quadrangle in each face of hexahedron respectively.A depression bar and three drag-lines are all connected with each hinged joint.There is pretension in all drag-lines, all depression bars have precompression, and the construction unit is stable self-balancing cable-strut system, with the preferable rigidity of structure, have good application prospect in large-sized prestress cable-rod structure system is set up.

Description

A kind of tension integral structure unit based on hexahedron geometry
Technical field
The present invention is a kind of method designed applied to Architectural Structure Design and modern space structure, more particularly to a kind of Tension integral structure unit based on hexahedron geometry.
Background technology
Tension integral structure is a kind of prestressing force self equilibrium systemses being made up of the striker member and the drag-line of tension that are pressurized, The structural initial pre stress of the main mutual balance between tension unit and pressure receiving means of the rigidity of structure is provided, apply prestressing force it Before, structure is almost without rigidity, but be due to the presence of seif-citing rate, under specific geometry state, and structure, which obtains rigidity, to be turned into Can bearing load structure, this is that it is different from the essential characteristic of traditional structure.Just because of this essential characteristic so that tensioning Integrally-built internal force and form height correlation, show very strong geometrical non-linearity and form adjustability.Tension integral structure Can be adjusted by changing the internal force of component or control structure form, this causes tension integral structure to be particularly well suited as Adaptive structure and deployable structure, the former makes structural form meet certain functional requirement by actively changing the internal force of component, By application or completely, release prestressing force becomes the structure with certain form and rigidity or deteriorates to no rigidity the latter Compact condition.Tension integral structure has the advantages that light weight, span are big, handsome in appearance, makes full use of material, should in engineering It is extensive with prospect.But different from traditional structural design method, the design of large-scale, complicated tension integral structure is complex, one As need to be expanded according to existing tension integral structure unit, it is derivative, and according to certain rule so as to setting up out large-scale Modern prestressed structural systems.
It is due to structure although having occurred in that some tension integral structure units based on hexahedron geometry at present The difference of geometric configuration and structural initial pre stress, the rigidity of different structure is also different, and there is also very in practical engineering application Big difference.Therefore, tension integral structure unit of the exploitation design based on hexahedron geometry is significant.
The content of the invention
Technical problem:The present invention provides one kind and can expand, derive, and energy efficient application is in prestressed cable-strut structures system Tension integral structure unit based on hexahedron geometry.
Technical scheme:The tension integral structure unit based on hexahedron geometry of the present invention, including 8 hinged joints, 4 Striker member and 12 drag-lines, eight described hinged joints A, B, C, D, E, F, G and H are located at 8 of hexahedron geometry respectively Apex, node A, B, C, D are located at a plane and arranged counterclockwise, and node E, F, G and H are located at a plane and pressed Sequence counter-clockwise is arranged, and AE, BF, CG, DH are to be all connected with a depression bar at four seamed edges of hexahedron geometry, each hinged joint Component and three drag-lines;
Four described striker members are located at hexahedral inside, and are overlapped respectively with hexahedral four body diagonals, Include connecting node A and G depression bar, connecting node B and H depression bar, connecting node C and E depression bar, connecting node D and F pressure Bar;12 drag-lines are separately positioned on each face of hexahedron between the opposed apexes of quadrangle, and constitute two mutually Tetrahedron configuration staggeredly, specifically includes the drag-line of connecting node A and node C drag-line, connecting node A and node F, connection section Point A and node H drag-line, connecting node B and node D drag-line, connecting node B and node E drag-line, connecting node B and section Point G drag-line, connecting node C and node F drag-line, connecting node C and node H drag-line, connecting node D and node E drawing Rope, connecting node D and node G drag-line, connecting node E and node G drag-line, connecting node F and node H drag-line.
Further, in the tension integral structure unit of the invention based on hexahedron geometry, hexahedron geometry is positive six face Body, the length of four striker members is identical, isWherein l is the seamed edge length of side of hexahedron geometry;12 drag-lines Length it is identical, be
Further, under the tension integral structure unit based on hexahedron geometry of the invention, working condition, it is described based on The tension integral structure unit of hexahedron geometry maintains stable self-balancing state, and the precompression of four striker members is identical, For Fb;The pretension of 12 drag-lines is identical, is Fc, and meet
Beneficial effect:The present invention compared with prior art, with advantages below:
In each component of conventional two-dimensional truss structure, in the absence of prestressing force, material use efficiency is low, and overall weight is larger, And all drag-lines have pretension in hexahedron tension integral structure unit of the present invention, there is precompression in all depression bars, The pretension of drag-line and the precompression of depression bar are mutually balanced, when external load is acted on, the internal force that structure passes through active accommodation component So as to resist the effect of external load, and drag-line is in tension state all the time, and depression bar is in pressured state all the time, and configuration is reasonable, knot Structure is more slim and graceful, and stock utilization is higher.In addition, all in the existing tension integral structure system based on hexahedron geometry draw Rope is located on hexahedral each bar seamed edge, and the six quadrangular plans resistance lateral load ability constituted is more not enough, institute's structure The integrally-built rigidity built is relatively low, and resistance capacity to deformation is weaker.And the tension integral structure unit of the present invention is totally different from 12 drag-lines in the existing tension integral structure based on hexahedron geometry, the present invention are not only continuous and hand over two-by-two respectively Inner side that is wrong, being arranged in six planes, be integrally formed two it is staggered, while also more solid and reliable tetrahedron configuration, Not only modern design is attractive in appearance, moreover it is possible to ensure that structure has the good rigidity of structure and stress performance in the operating condition, it is easy to structure Build large-scale cable-rod structure.
Brief description of the drawings
Fig. 1 is eight summit schematic diagrames of hexahedron geometry.
Fig. 2 is the configuration schematic diagram of the tension integral structure unit based on hexahedron geometry of the present invention.
In Fig. 2, fine line represents drag-line, and heavy line represents striker member.A, B, C, D, E, F, G, H table in all figures Show the hinged joint positioned at eight vertex positions of hexahedron, depression bar 101,102,103,104 belongs to same class striker member, draw Rope 201,202,203,204,205,206,207,208,209,210,211,212 belongs to same class drag-line.
Embodiment
With reference to embodiment and Figure of description, the present invention is further illustrated.
1. member connection and classification.
As depicted in figs. 1 and 2, the tension integral structure unit of the invention based on hexahedron geometry includes 8 hinged segments Point, 4 striker members and 12 drag-lines, eight described hinged joints A, B, C, D, E, F, G and H are located at hexahedron geometry respectively 8 apexes, node A, B, C, D are located at a plane and to be arranged counterclockwise, node E, F, G and H be located at one it is flat Face is simultaneously arranged counterclockwise, and AE, BF, CG, DH are to be all connected with one at four seamed edges of hexahedron geometry, each hinged joint Root striker member and three drag-lines.
Thick line represents striker member in Fig. 2, totally four striker members, and four depression bars are located at hexahedral inside, and Overlapped respectively with hexahedral four body diagonals, include connecting node A and G depression bar 101, connecting node B and H depression bar 102, connecting node C and E depression bar 103, connecting node D and F depression bar 104.Fine rule represents drag-line in Fig. 2, totally ten two drawings Rope, 12 drag-lines are separately positioned on each face of hexahedron between the opposed apexes of quadrangle, and constitute two mutually Tetrahedron configuration staggeredly, specifically includes the drag-line 202 of connecting node A and node C drag-line 201, connecting node A and node F, Connecting node A and node H drag-line 203, connecting node B and node D drag-line 204, connecting node B and node E drag-line 205, connecting node B and node G drag-line 206, connecting node C and node F drag-line 207, connecting node C and node H drawing Rope 208, connecting node D and node E drag-line 209, connecting node D and node G drag-line 210, connecting node E and node G's Drag-line 211, connecting node F and node H drag-line 212.
2. the geometrical length of component.
As depicted in figs. 1 and 2, a seamed edge AE of the hexahedron geometry length of side is represented with l, all striker members have phase Same geometrical length, beAll drag-lines have identical geometrical length, are
3. prestretching (pressure) stress of component.
To ensure that structure is in self-balancing state when being acted on without external load, the size of prestretching (pressure) power of all kinds of components is needed Meet following relation:
Wherein FbAnd FcAxle power value respectively in striker member and drag-line.
4. the cutting length of component.
The cutting length of component refers to length when component is machined, and now component is in unstress state.All kinds of structures The cutting length of part is:
Wherein,The respectively cutting length of striker member, drag-line.Eb、AbThe respectively modulus of elasticity of striker member And area of section, Ec、AcThe respectively modulus of elasticity and area of section of drag-line.
5. the assembling of structure.
By by blanking length processing good striker member and drag-line, by eight given hinged joints, and according to foregoing Geometrical connection relation between component is fitted together, and the structure finally given will be that the tensioning based on hexahedron geometry is integrally tied Structure unit, and all drag-line tensions, all striker members are pressurized, and total is in stable self-balancing state.
Above-described embodiment is only the preferred embodiment of the present invention, it should be pointed out that:For the ordinary skill of the art For personnel, under the premise without departing from the principles of the invention, some improvement and equivalent substitution can also be made, these are to the present invention Claim be improved with the technical scheme after equivalent substitution, each fall within protection scope of the present invention.

Claims (3)

1. a kind of tension integral structure unit based on hexahedron geometry, it is characterised in that the construction unit includes 8 hinged segments Point, 4 striker members and 12 drag-lines, eight described hinged joints A, B, C, D, E, F, G and H are located at hexahedron geometry respectively 8 apexes, node A, B, C, D are located at a plane and to be arranged counterclockwise, node E, F, G and H be located at one it is flat Face is simultaneously arranged counterclockwise, and AE, BF, CG, DH are to be all connected with one at four seamed edges of hexahedron geometry, each hinged joint Root striker member and three drag-lines;
Four described striker members are located at hexahedral inside, and are overlapped respectively with hexahedral four body diagonals, including Connecting node A and G depression bar (101), connecting node B and H depression bar (102), connecting node C and E depression bar (103), connection Node D and F depression bar (104);12 drag-lines be separately positioned on quadrangle on each face of hexahedron opposed apexes it Between, and two interlaced tetrahedron configurations are constituted, specifically include connecting node A and node C drag-line (201), connection section Point A and node F drag-line (202), connecting node A and node H drag-line (203), connecting node B and node D drag-line (204), connecting node B and node E drag-line (205), connecting node B and node G drag-line (206), connecting node C and node F drag-line (207), connecting node C and node H drag-line (208), connecting node D and node E drag-line (209), connecting node D and node G drag-line (210), connecting node E and node G drag-line (211), connecting node F and node H drag-line (212).
2. the tension integral structure unit according to claim 1 based on hexahedron geometry, it is characterised in that six face Body geometry is regular hexahedron, and the length of four striker members is identical, isWherein l is the seamed edge length of side of hexahedron geometry; The length of 12 drag-lines is identical, is
3. the tension integral structure unit based on hexahedron geometry according to claim 2, it is characterised in that under operating conditions, The described tension integral structure unit based on hexahedron geometry maintains stable self-balancing state, the precompressed of four striker members Power is identical, is Fb;The pretension of 12 drag-lines is identical, is Fc, and meet <mrow> <msub> <mi>F</mi> <mi>b</mi> </msub> <mo>=</mo> <msqrt> <mn>6</mn> </msqrt> <msub> <mi>F</mi> <mi>c</mi> </msub> <mo>.</mo> </mrow> 1
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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
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
CN108035612B (en) * 2018-01-03 2023-10-10 北京科技大学 Portable functional tent with quadrangular-shaped stretching integral structure
CN109162347B (en) * 2018-10-12 2023-09-26 北京科技大学 Method for modularly constructing tension integral structure
CN109572987A (en) * 2018-12-17 2019-04-05 贵州理工学院 A kind of multi-rotor unmanned aerial vehicle based on four compression bar integral tension structures
CN109811891B (en) * 2019-03-20 2024-04-05 同济大学建筑设计研究院(集团)有限公司 Flexible full-tension structure system, pretension design method and construction method
CN110130498B (en) * 2019-04-23 2020-01-10 中冶建筑研究总院有限公司 Annular stretch-draw overall structure
CN110705024B (en) * 2019-09-03 2023-12-19 上海交通大学 Method for determining balance form of tension integral structure

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CH690927A5 (en) * 1996-04-12 2001-02-28 Mauro Pedretti Base module for spatial structure comprises six rigid bars with tips linked by pre-tensioned cables to form polyhedron with triangular faces
CN103397694B (en) * 2013-08-09 2015-05-13 常州工学院 Three-dimensional compression members of tension structure
CN104746642A (en) * 2015-03-31 2015-07-01 哈尔滨工程大学 Tensegrity structure similar to truncated tetrahedron
CN104775519A (en) * 2015-04-09 2015-07-15 哈尔滨工程大学 Quasi-cuboctahedron tensegrity structure

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