CN105350646A - Two-dimensional tensegrity structure unit based on hexagon geometry - Google Patents
Two-dimensional tensegrity structure unit based on hexagon geometry Download PDFInfo
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- CN105350646A CN105350646A CN201510698839.1A CN201510698839A CN105350646A CN 105350646 A CN105350646 A CN 105350646A CN 201510698839 A CN201510698839 A CN 201510698839A CN 105350646 A CN105350646 A CN 105350646A
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- drag
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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
Abstract
The present invention discloses a two-dimensional tensegrity structure unit based on the hexagon geometry. The unit comprises six hinged joints, six draglines and three pressing rods, wherein the six hinged joints are disposed on six vertexes of a two-dimensional hexagon, the three pressing rods are arranged at three diagonal lines inside the hexagon, two ends of the pressing rods are connected with the three groups of opposed vertexes of the hexagon, and the six draglines intersect to form a hexagram. A pre-tension force exists in all the draglines while a pre-compression exists in all the pressing rods, and the structure unit is a self-balancing cable-bar structure system, has an excellent structural stiffness, and has a good application prospect in a pre-stressed cable-bar structure system.
Description
Technical field
The present invention is a kind of method being applied to design of building structures and modern space structure design, particularly relates to a kind of two-dimentional tension integral structure unit based on hexagon geometry.
Background technology
Tension integral structure is a kind of prestressing force self equilibrium systems by the bar of pressurized and the Suo Zucheng of tension, the rigidity of structure is provided by the balance prestressing force between tension unit and pressure receiving means, before Shi Hanzhang, structure does not almost have rigidity, but due to the existence of seif-citing rate, under specific geometry state, structure obtains that rigidity becomes can the structure of bearing load, and this is that it is different from the essential characteristic of traditional structure.Just because of this essential characteristic, make internal force and the form height correlation of tension integral structure, show very strong geometrical non-linearity and form adjustability.Tension integral structure can by changing the internal force of component and regulate or the form of control structure, this makes tension integral structure be particularly suitable for as adaptive structure and deployable structure, the former makes structural form meet certain functional requirement by the internal force initiatively changing component, and the latter becomes the structure with certain form and rigidity or the compact condition deteriorated to without rigidity by applying or discharging prestressing force completely.Tension integral structure has that quality is light, span is large, handsome in appearance, make full use of the advantages such as material, in engineering, application prospect is extensive.
Although there are at present some tension integral structures based on hexagon geometry, due to the geometric configuration of structure and the difference of structural initial pre stress, the rigidity of different structure is also different, and the application in Practical Project also exists very large difference.So development and Design has very important significance based on the two-dimentional tension integral structure unit tool of hexagon geometry.
Summary of the invention
Technical problem: the invention provides one and can expand, derive, can the two-dimentional tension integral structure unit based on hexagon geometry of efficient application in prestressed cable-strut structures system.
Technical scheme: the two-dimentional tension integral structure based on hexagon geometry of the present invention, comprise 6 hinged joints, 6 drag-lines and 3 striker member, described six hinged joints A, B, C, D, E and F lay respectively on 6 summits by sequence counterclockwise of a hexagonal geometry; Described three striker member are arranged on hexagonal three diagonal respectively, comprise the depression bar of connected node A and D, the depression bar of connected node B and E, the depression bar of connected node C and F; Described 6 drag-lines are all positioned at hexagonal inside, and interlaced composition hexagram, comprise the drag-line of connected node A and node C, the drag-line of connected node A and node E, the drag-line of connected node B and node D, the drag-line of connected node B and node F, the drag-line of connected node C and node E, the drag-line of connected node D and node F.
Further, the present invention is based in the two-dimentional tension integral structure unit of hexagon geometry, the length of three striker member is identical, is 2l; The length of described six roots of sensation drag-line is identical, is
Further, the present invention is based in the two-dimentional tension integral structure unit of hexagon geometry, under operating conditions, described tension integral structure unit maintains stable self-balancing state, and the precompression of three striker member is identical, is F
b, the pretension of described six roots of sensation drag-line is identical, is F
c, and meet
Beneficial effect: the present invention compared with prior art, has the following advantages:
In each component of conventional two-dimensional trussed construction, there is not prestressing force, material use efficiency is low, overall weight is larger, and in cable-rod structure unit of the present invention there is pretension in all drag-lines, there is precompression in all depression bars, the pretension of drag-line and the precompression of depression bar balance mutually, when external load effect, structure passes through the internal force of active accommodation component thus the effect of opposing external load, and drag-line is in tension state all the time, and depression bar is in pressured state all the time, configuration is reasonable, structure is more slim and graceful, and stock utilization is higher.In addition, existingly be positioned at hexagonal outside based on drag-line in the tension integral structure system of hexagon geometry, deriving and setting up multiple similar units, formed in extensive integrally-built process, comparatively inconvenience, and structural entity rigidity is lower, resistance capacity to deformation is more weak, and six roots of sensation drag-line in the present invention not only continuously and be arranged in hexagonal inner side, the triangle that each self-forming is more firm, hexagram is formed after being interweaved, not only modern design is attractive in appearance, can also ensure that structure has the good rigidity of structure and stress performance down in working order, be easy to build large-scale cable-rod structure.Tension integral structure unit of the present invention be different from completely the existing prestressed cable bar based on hexagon geometry (three independently depression bar be positioned at inside, outer ring continuous print six roots of sensation drag-line is positioned on hexagonal every bar side), outside the element of construction proposed, drag-line is interlaced, forms hexagram.Handsome in appearance, structural performance is better, can stablize and bear external load.
Accompanying drawing explanation
Fig. 1 is six summit schematic diagrames of hexagonal geometry.
Fig. 2 is the configuration schematic diagram of tension integral structure unit of the present invention.
In Fig. 1 and Fig. 2, fine line all represents drag-line component, and heavy line all represents striker member.In all figure, A, B, C, D, E, F represent the hinged joint being positioned at each vertex position of hexagon, and depression bar 101,102,103 all belongs to same class depression bar, and drag-line 201,202,203,204,205,206 all belongs to same class drag-line.
Detailed description of the invention
Below in conjunction with embodiment and Figure of description, the present invention is further illustrated.
1. member connection and classification.
As depicted in figs. 1 and 2, two-dimentional tension integral structure unit based on hexagon geometry of the present invention comprises 6 hinged joints, 6 drag-lines and 3 striker member, described six hinged joints A, B, C, D, E and F lay respectively on 6 summits by sequence counterclockwise of a hexagonal geometry.In Fig. 2, thick line represents striker member, totally 3 depression bars, and described three striker member are arranged on hexagonal three diagonal respectively, comprise the depression bar 101 of connected node A and D, the depression bar 102 of connected node B and E, the depression bar 103 of connected node C and F.In Fig. 2, fine rule represents drag-line, described 6 drag-lines are all positioned at hexagonal inside, and interlaced composition hexagram, comprise the drag-line 201 of connected node A and node C, the drag-line 202 of connected node A and node E, the drag-line 203 of connected node B and node D, the drag-line 204 of connected node B and node F, the drag-line 205 of connected node C and node E, the drag-line 206 of connected node D and node F.
2. the geometrical length of component.
As depicted in figs. 1 and 2, represent hexagonal length of side with l, all striker member have identical geometrical length, are 2l, and all drag-line components have identical geometrical length and are
3. prestretching (pressure) stress of component.
For ensureing that structure is being in self-balancing state without during external load effect, the size of prestretching (pressure) power of each class A of geometric unitA need meet following relation:
Wherein F
band F
cbe respectively the axle power size in striker member and drag-line component.
4. the cutting length of component.
The length when cutting length of component refers to that component machines, now component is in unstress state.The cutting length of each class A of geometric unitA is:
Wherein,
be respectively the cutting length of depression bar, drag-line component, E
b, A
bbe respectively modulus of elasticity and the section area of striker member, E
c, A
cbe respectively modulus of elasticity and the section area of drag-line component.
5. the assembling of structure.
By the component processed by cutting length, by six given hinged joints, and fit together according to the geometrical connection relation between aforementioned components, the structure finally obtained will be the two-dimentional tension integral structure unit based on hexagon geometry, and all drag-line component tensions, all striker member pressurizeds, total is in stable self-balancing state.
Above-described embodiment is only the preferred embodiment of the present invention; be noted that for those skilled in the art; under the premise without departing from the principles of the invention; some improvement and equivalent replacement can also be made; these improve the claims in the present invention and are equal to the technical scheme after replacing, and all fall into protection scope of the present invention.
Claims (3)
1. the two-dimentional tension integral structure based on hexagon geometry, it is characterized in that, this structure comprises 6 hinged joints, 6 drag-lines and 3 striker member, described six hinged joints A, B, C, D, E and F lay respectively on 6 summits by sequence counterclockwise of a hexagonal geometry; Described three striker member are arranged on hexagonal three diagonal respectively, comprise the depression bar (101) of connected node A and D, the depression bar (102) of connected node B and E, the depression bar (103) of connected node C and F; Described 6 drag-lines are all positioned at hexagonal inside, and interlaced composition hexagram, comprise the drag-line (201) of connected node A and node C, the drag-line (202) of connected node A and node E, the drag-line (203) of connected node B and node D, the drag-line (204) of connected node B and node F, the drag-line (205) of connected node C and node E, the drag-line (206) of connected node D and node F.
2. the two-dimentional tension integral structure unit based on hexagon geometry according to claim 1, it is characterized in that, the length of described three striker member is identical, is 2l; The length of described six roots of sensation drag-line is identical, is
3. the two-dimentional tension integral structure unit based on hexagon geometry according to claim 2, is characterized in that, under operating conditions, described tension integral structure unit maintains stable self-balancing state, and the precompression of three striker member is identical, is F
b, the pretension of described six roots of sensation drag-line is identical, is F
c, and meet
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Cited By (3)
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CN109162347A (en) * | 2018-10-12 | 2019-01-08 | 北京科技大学 | A kind of method that modularization builds tension integral structure |
CN110792173A (en) * | 2019-10-28 | 2020-02-14 | 中冶建筑研究总院有限公司 | Tensioning integral triangular prism structure and shape finding method |
CN111997198A (en) * | 2019-05-27 | 2020-11-27 | 浙江大学 | Novel deployable annular stretch-draw overall structure |
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GB663912A (en) * | 1946-04-30 | 1951-12-27 | Alfred Easton Poor | Improvements in building construction members |
CH656807A5 (en) * | 1984-01-31 | 1986-07-31 | Hamish Graham | Set of construction elements and construction produced with the aid of this set |
JPH02127197A (en) * | 1988-11-02 | 1990-05-15 | Nippon Telegr & Teleph Corp <Ntt> | Synchronous developing type truss structural module and construction thereof |
CN103741796A (en) * | 2013-07-30 | 2014-04-23 | 江河创建集团股份有限公司 | Self-balancing instability-prevention prestress structure |
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 |
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GB663912A (en) * | 1946-04-30 | 1951-12-27 | Alfred Easton Poor | Improvements in building construction members |
CH656807A5 (en) * | 1984-01-31 | 1986-07-31 | Hamish Graham | Set of construction elements and construction produced with the aid of this set |
JPH02127197A (en) * | 1988-11-02 | 1990-05-15 | Nippon Telegr & Teleph Corp <Ntt> | Synchronous developing type truss structural module and construction thereof |
CN103741796A (en) * | 2013-07-30 | 2014-04-23 | 江河创建集团股份有限公司 | Self-balancing instability-prevention prestress structure |
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Cited By (6)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN109162347A (en) * | 2018-10-12 | 2019-01-08 | 北京科技大学 | A kind of method that modularization builds tension integral structure |
CN109162347B (en) * | 2018-10-12 | 2023-09-26 | 北京科技大学 | Method for modularly constructing tension integral structure |
CN111997198A (en) * | 2019-05-27 | 2020-11-27 | 浙江大学 | Novel deployable annular stretch-draw overall structure |
CN111997198B (en) * | 2019-05-27 | 2021-04-27 | 浙江大学 | Can open up annular stretch-draw overall structure |
CN110792173A (en) * | 2019-10-28 | 2020-02-14 | 中冶建筑研究总院有限公司 | Tensioning integral triangular prism structure and shape finding method |
CN110792173B (en) * | 2019-10-28 | 2020-12-01 | 中冶建筑研究总院有限公司 | Tensioning integral triangular prism structure and shape finding method |
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