CN105350646B - A kind of two-dimentional tension integral structure unit based on hexagon geometry - Google Patents
A kind of two-dimentional tension integral structure unit based on hexagon geometry Download PDFInfo
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- CN105350646B CN105350646B CN201510698839.1A CN201510698839A CN105350646B CN 105350646 B CN105350646 B CN 105350646B CN 201510698839 A CN201510698839 A CN 201510698839A CN 105350646 B CN105350646 B CN 105350646B
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- 238000010276 construction Methods 0.000 abstract 1
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- 238000012986 modification Methods 0.000 description 2
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Classifications
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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 kind of tension integral structure configuration based on hexagon geometry, including 6 hinged joints, 6 drag-lines and 3 striker members.6 hinged joints are respectively on 6 vertex of hexagonal geometry, and 3 compression bars are respectively arranged on the diagonal of the inside of hexagon three, and both ends are connected with three groups of opposed apexes of hexagon, 6 drag-lines, one hexagram of interlaced composition.There are pretension in drag-line, there are precompression in compression bar, and the construction unit is self-balancing cable-strut system, has the preferable rigidity of structure, has good application prospect in prestressed cable-strut structures system.
Description
Technical Field
The invention relates to a method applied to building structure design and modern space structure design, in particular to a two-dimensional tensioning integral structure unit based on hexagon geometry.
Background
The tensegrity structure is a prestress self-balancing system consisting of compressed rods and tensioned cables, the structural rigidity is provided by the balance prestress between the tension units and the compression units, the structure has almost no rigidity before the prestress is applied, but due to the existence of self-stress, under a specific geometric state, the structure obtains rigidity to become a structure capable of bearing load, which is the essential characteristic different from the traditional structure. Due to the essential characteristic, the internal force and the form of the integral tensioning structure are highly correlated, and strong geometric nonlinearity and form adjustability are shown. The tensegrity structure can adjust or control the structure form by changing the internal force of the component, which makes the tensegrity structure especially suitable for being used as a self-adaptive structure and a deployable structure, wherein the former can make the structure form meet certain functional requirements by actively changing the internal force of the component, and the latter can make the tensegrity structure become a structure with certain form and rigidity or degenerate into a compact state without rigidity by applying or completely releasing prestress. The integral tensioning structure has the advantages of light weight, large span, attractive appearance, full utilization of materials and the like, and has wide application prospect in engineering.
Although some tensegrity structures based on hexagonal geometry have appeared, the rigidity of different structures is different due to the difference of the geometrical configuration and initial prestress of the structures, and the application in practical engineering is also greatly different. Therefore, the development and design of the two-dimensional tensioning integral structural unit based on the hexagonal geometry have important significance.
Disclosure of Invention
The technical problem is as follows: the invention provides a two-dimensional tensioning integral structural unit based on hexagon geometry, which can be expanded and derived and can be efficiently applied to a prestressed cable-pole structural system.
The technical scheme is as follows: the two-dimensional tensioning integral structure based on the hexagonal geometry comprises 6 hinged nodes, 6 inhaul cables and 3 pressure rod members, wherein the six hinged nodes A, B, C, D, E and F are respectively positioned on 6 vertexes of the two-dimensional hexagonal geometry which are ordered according to a reverse clock; the three pressure bar components are respectively arranged on three diagonal lines of the hexagon and comprise pressure bars for connecting nodes A and D, pressure bars for connecting nodes B and E and pressure bars for connecting nodes C and F; the 6 inhaul cables are all located inside the hexagon and are mutually staggered to form a hexagonal star shape, and the inhaul cables comprise a connecting node A, a connecting node C, a connecting node A, a connecting node E, a connecting node B, a connecting node D, a connecting node B, a connecting node F, a connecting node C, a connecting node E and a connecting node D.
Furthermore, in the two-dimensional tensioning integral structure unit based on the hexagonal geometry, the three compression bar components are the same in length and are all 2 l; the six inhaul cables are the same in length and are all
Furthermore, in the two-dimensional tensioning integral structure unit based on the hexagonal geometry, the tensioning integral structure unit maintains a stable self-balancing state in a working state, and the pre-pressures of the three pressure rod components are the same and are all FbThe pretension forces of the six inhaul cables are the same and are all FcAnd satisfy
Has the advantages that: compared with the prior art, the invention has the following advantages:
the cable rod structure unit has the advantages that all the inhaul cables in the cable rod structure unit have pretension, all the pressure rods have preload, the pretension of the inhaul cables and the preload of the pressure rods are balanced mutually, when an external load acts, the structure resists the action of the external load by actively adjusting the internal force of the members, the inhaul cables are always in a tension state, the pressure rods are always in a compression state, the configuration is reasonable, the structure is lighter, and the material utilization rate is higher. In addition, in the existing stretching integral structure system based on the hexagon geometry, the stay cables are positioned at the outer side of the hexagon, and a plurality of similar units are derived and built, so that the process of forming a large-scale integral structure is inconvenient, the integral rigidity of the structure is low, and the deformation resistance is weak. The integral tensioning structural unit is completely different from the existing prestressed cable bar based on hexagonal geometry (three independent pressure bars are positioned inside, six continuous inhaul cables on the outer ring are positioned on each side edge of a hexagon), and the inhaul cables on the outer side of the proposed structural unit are mutually staggered to form a hexagonal star shape. The structure has beautiful appearance and better structural performance, and can stably bear external load.
Drawings
Fig. 1 is a schematic diagram of six vertices of a two-dimensional hexagonal geometry.
FIG. 2 is a schematic view of the configuration of a tensioned monolithic structural unit of the present invention.
In fig. 1 and 2, thin solid lines each indicate a cable member, and thick solid lines each indicate a strut member. A, B, C, D, E, F in all figures indicates the hinge joint at each vertex of the hexagon, the compression rods 101, 102 and 103 all belong to the same compression rod type, and the cables 201, 202, 203, 204, 205 and 206 all belong to the same cable type.
Detailed Description
The invention is further described with reference to the following examples and the accompanying drawings.
1. And connecting and classifying the components.
As shown in fig. 1 and 2, the two-dimensional tensegrity structural unit based on hexagonal geometry of the present invention includes 6 hinge nodes, 6 pulling cables and 3 presser bar members, and the six hinge nodes A, B, C, D, E and F are respectively located on 6 vertexes of a two-dimensional hexagonal geometry in a counterclockwise order. The thick lines in fig. 2 represent strut members, for a total of 3 struts, which are respectively arranged on three diagonal lines of a hexagon, including struts 101 connecting nodes a and D, struts 102 connecting nodes B and E, and struts 103 connecting nodes C and F. The thin lines in fig. 2 represent cables, the 6 cables are all located inside the hexagon and are staggered with each other to form a hexagonal star, and the cables include a cable 201 connecting the node a and the node C, a cable 202 connecting the node a and the node E, a cable 203 connecting the node B and the node D, a cable 204 connecting the node B and the node F, a cable 205 connecting the node C and the node E, and a cable 206 connecting the node D and the node F.
2. The geometric length of the member.
As shown in figures 1 and 2, the side length of the hexagon is represented by l, all the pressure lever members have the same geometric length which is 2l, and all the stay cable members have the same geometric length which is 2l
3. Pretension (compressive) stress of the member.
In order to ensure that the structure is in a self-balancing state when no external load acts on the structure, the magnitude of the pretensioning (pressing) force of each component needs to satisfy the following relation:
wherein FbAnd FcThe axial force in the pressure lever component and the inhaul cable component are respectively.
4. The blanking length of the member.
The blanking length of the component is the length of the component when the processing is finished, and the component is in an unstressed state. The blanking length of each component is as follows:
wherein,the blanking lengths of the compression bar and the stay cable component respectively, Eb、AbModulus of elasticity and cross-sectional area, respectively, of the strut memberc、AcThe modulus of elasticity and the cross-sectional area of the cable member, respectively.
5. And (5) assembling the structure.
The members processed according to the length of the blanking are assembled together through six given hinged joints according to the geometric connection relationship among the members, the finally obtained structure is a two-dimensional tensioning integral structure unit based on hexagonal geometry, all the inhaul cable members are tensioned, all the compression rod members are compressed, and the whole structure is in a stable self-balancing state.
The above examples are only preferred embodiments of the present invention, it should be noted that: it will be apparent to those skilled in the art that various modifications and equivalents can be made without departing from the spirit of the invention, and it is intended that all such modifications and equivalents fall within the scope of the invention as defined in the claims.
Claims (3)
1. A two-dimensional tensioning integral structure based on hexagonal geometry is characterized by comprising 6 hinge nodes, 6 pull cables and 3 pressure rod members, wherein the six hinge nodes A, B, C, D, E and F are respectively positioned on 6 vertexes of the two-dimensional hexagonal geometry in a counterclockwise sequence; the three pressure lever components are respectively arranged on three diagonal lines of the hexagon and comprise pressure levers (101) for connecting nodes A and D, pressure levers (102) for connecting nodes B and E and pressure levers (103) for connecting nodes C and F; the 6 inhaul cables are all located inside the hexagon and are mutually staggered to form a hexagon star shape, and the inhaul cable comprises an inhaul cable (201) connecting a node A and a node C, an inhaul cable (202) connecting the node A and the node E, an inhaul cable (203) connecting the node B and the node D, an inhaul cable (204) connecting the node B and the node F, an inhaul cable (205) connecting the node C and the node E, and an inhaul cable (206) connecting the node D and the node F.
2. A two-dimensional tensegrity structural unit based on hexagonal geometry, according to claim 1, characterized in that said three strut members are of the same length, all 2 l; the six inhaul cables are the same in length and are all
3. A two-dimensional tensegrity structural unit according to claim 2, wherein in operation, said tensegrity structural unit maintains a stable self-balancing state, and the pre-stresses of the three strut members are the same and all FbThe pretension forces of the six inhaul cables are the same and are all FcAnd satisfy
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| Application Number | Priority Date | Filing Date | Title |
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| CN201510698839.1A CN105350646B (en) | 2015-10-23 | 2015-10-23 | A kind of two-dimentional tension integral structure unit based on hexagon geometry |
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| CN201510698839.1A CN105350646B (en) | 2015-10-23 | 2015-10-23 | A kind of two-dimentional tension integral structure unit based on hexagon geometry |
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| CN105350646B true CN105350646B (en) | 2018-05-15 |
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| CN109162347B (en) * | 2018-10-12 | 2023-09-26 | 北京科技大学 | Method for modularly constructing tension integral structure |
| CN111997198B (en) * | 2019-05-27 | 2021-04-27 | 浙江大学 | Can open up annular stretch-draw overall structure |
| 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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| Publication number | Priority date | Publication date | Assignee | Title |
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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 |
| JP2579676B2 (en) * | 1988-11-02 | 1997-02-05 | 日本電信電話株式会社 | Synchronous deployable truss structure module and synchronous deployable truss structure |
| CN103741796B (en) * | 2013-07-30 | 2016-02-17 | 江河创建集团股份有限公司 | The anti-unstability prestressed structure of self-balancing |
| 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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