CN111997181A - Assembled spatial structure unit based on regular tetrahedron - Google Patents

Assembled spatial structure unit based on regular tetrahedron Download PDF

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Publication number
CN111997181A
CN111997181A CN202010643352.4A CN202010643352A CN111997181A CN 111997181 A CN111997181 A CN 111997181A CN 202010643352 A CN202010643352 A CN 202010643352A CN 111997181 A CN111997181 A CN 111997181A
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China
Prior art keywords
regular tetrahedron
space structure
linear rod
structure unit
building element
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CN202010643352.4A
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Chinese (zh)
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CN111997181B (en
Inventor
杨霄
葛家琪
蒋炳丽
熊晗
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Architectural Design and Research Institute of Tsinghua University
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Architectural Design and Research Institute of Tsinghua 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
    • 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
    • E04B1/38Connections for building structures in general
    • E04B1/58Connections for building structures in general of bar-shaped building elements
    • EFIXED CONSTRUCTIONS
    • E04BUILDING
    • E04CSTRUCTURAL ELEMENTS; BUILDING MATERIALS
    • E04C3/00Structural elongated elements designed for load-supporting
    • E04C3/02Joists; Girders, trusses, or trusslike structures, e.g. prefabricated; Lintels; Transoms; Braces

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  • Engineering & Computer Science (AREA)
  • Architecture (AREA)
  • Civil Engineering (AREA)
  • Structural Engineering (AREA)
  • Physics & Mathematics (AREA)
  • Electromagnetism (AREA)
  • Joining Of Building Structures In Genera (AREA)

Abstract

The invention provides an assembled space structure unit based on a regular tetrahedron, which comprises six (groups of) linear rod pieces and four assembling surfaces, and is characterized in that: the included angle between the adjacent linear rod pieces is 60 degrees, and the included angle between the opposite linear rod pieces is 90 degrees; any assembly surface is intersected with one end of three (groups) adjacent linear rod pieces and is parallel to the plane of the other three (groups) linear rod pieces, and each assembly surface can be matched with the connecting surface of the corresponding regular tetrahedron-based space node.

Description

Assembled spatial structure unit based on regular tetrahedron
Technical Field
The invention relates to a space structure unit, in particular to an assembled space structure unit based on a regular tetrahedron.
Background
The space structure of the existing industrial and civil building usually adopts a net rack and a truss, the temporary facility usually adopts the form of a scaffold and the like, the net rack and the truss usually need to be subjected to very professional engineering design, the basic units are nodes and rods, the repetition rate is low, the number of components is large, the sizes, the lengths and other geometric dimensions of the components are various, the specifications of the nodes are also various, and the installation needs to be finished by professional workers under the guidance of professional techniques. Facilities such as interim stage, stand, ice and snow motion competition platform adopt the scaffold frame to build in a large number and form, and its bearing capacity is low, poor stability, and installation time is longer, needs further improvement, consequently urgently needed a bearing capacity height, stability is strong and the assembled spatial structure unit that installation effectiveness is high.
Disclosure of Invention
In order to provide an assembly type space structure with high bearing capacity, strong stability, high installation efficiency and flexible and changeable arrangement, the invention designs an assembly type space structure unit based on a regular tetrahedron, which has a single structural form and node specification and reasonable component stress.
The invention provides an assembled space structure unit based on a regular tetrahedron, which comprises six (groups of) linear rod pieces and four assembling surfaces, and is characterized in that: the included angle between the adjacent linear rod pieces is 60 degrees, and the included angle between the opposite linear rod pieces is 90 degrees; any assembly surface is intersected with one end of three (groups) adjacent linear rod pieces and is parallel to the plane of the other three (groups) linear rod pieces, and each assembly surface can be matched with the connecting surface of the corresponding regular tetrahedron-based space structure node.
Preferably, round steel tubes are used as linear rods of the regular tetrahedron-based fabricated space structure unit.
Preferably, angle steel is adopted as a straight rod piece of the assembled space structure unit based on the regular tetrahedron.
Preferably, the linear rod piece adopts irregular angle steel with an included angle of an outer limb surface of arccos (1/3).
Preferably, the linear rod piece adopts irregular angle steel with an included angle of arccos (1/3) on the inner limb surface.
Preferably, the mounting surface and the connecting surface are equilateral triangles of equal size and coinciding with each other.
Preferably, the four assembly faces are identical, so that each assembly face of the regular tetrahedron-based assembled spatial structure unit can be fitted with each connection face of the regular tetrahedron-based spatial structure node.
Preferably, a stiffening plate is arranged at the edge of the assembling surface and is connected with the adjacent irregular angle steel, and the outer side of the stiffening plate and the outer side limb surface of the adjacent irregular angle steel are in the same plane.
Preferably, a mounting hole connected with a regular tetrahedron-based spatial structure node or other nodes is arranged at the geometric center of the mounting surface.
Preferably, the assembling surface is made of metal material matched with the shape of the linear rod piece.
Preferably, the assembling surface is made of steel matched with the shape of the linear rod piece.
Preferably, the joint of the assembling surface and the stiffening plate or the irregular angle steel is in cambered surface transition.
Preferably, the regular tetrahedron-based fabricated space structure units are connected by regular tetrahedron-based space structure nodes, and edges and vertexes of the regular tetrahedron-based fabricated space structure units are subjected to arc surface transition.
The regular tetrahedron-based space structure node has the following characteristics that the connecting holes connected with the regular tetrahedron-based assembled space structure unit are formed in at least two connecting faces, the geometric centers of the connecting holes coincide with the geometric center of the connecting face where the connecting holes are located, and after the regular tetrahedron-based space structure node is connected with the regular tetrahedron-based assembled space structure unit, the connecting face of the space structure node is matched with the assembling face of the regular tetrahedron-based assembled space structure unit.
Preferably, the assembled space structure unit based on the regular tetrahedron is connected with the space structure node based on the regular tetrahedron by using a bolt as a connecting bolt.
Preferably, the assembled space structure unit based on the regular tetrahedron is connected with the space structure node based on the regular tetrahedron by adopting a welding connection mode.
Description of the drawings: for example 2B, 2C, 2E, 2F are adjacent linear rods of 2A, and 2A and 2D are opposite linear rods (see fig. 1), in fact, each linear rod line has four adjacent linear rods and one opposite linear rod. Since the dihedral angle of two adjacent faces of a regular tetrahedron is arccos (1/3), making an irregular angle with an included angle arccos (1/3) as a straight rod of the regular tetrahedron-based fabricated space structure unit can make the three angle outer limbs of each side of the regular tetrahedron-based fabricated space structure unit in the same plane (fig. 10, 11). The meaning of the regular tetrahedron-based in the invention is as follows: the position relation of each side of the assembled space structure unit based on the regular tetrahedron is the same as the position relation of each side of the regular tetrahedron, the position relation of each linear rod piece is the same as the position relation of each edge of the regular tetrahedron, and the position relation of each side of the space structure node based on the regular tetrahedron is the same as the position relation of each side of the regular tetrahedron.
An assembled space structure unit based on regular tetrahedron, from the stress angle, three sides of each surface of the assembled space structure unit form an equilateral triangle, and the stability is stronger than that of other structures; the force transmission mode of the assembled space structure unit based on the regular tetrahedron is single and reliable. Therefore, compared with other space structures, the assembled space structure unit based on the regular tetrahedron is more stable and reliable, and can rapidly disperse stress concentrated at the nodes.
The angle steel is adopted as the linear rod piece of the regular tetrahedron-based assembled space structure unit, so that the dead weight of the regular tetrahedron-based assembled space structure unit is reduced, and the material consumption is reduced.
Irregular angle steel with an included angle of an outer limb surface of arccos (1/3) is used as a linear rod piece of the regular tetrahedron-based fabricated space structure unit, so that the outer limb surfaces of the three angle steel on each side surface of the regular tetrahedron-based fabricated space structure unit are in the same plane, and the stability of the regular tetrahedron-based fabricated space structure unit is optimized.
The round steel tube is used as a linear rod piece of the regular tetrahedron-based assembled space structure unit, and the same optimal inertia moment of the linear rod piece in different directions is guaranteed.
By adopting the regular tetrahedron-based space structure node, all the regular tetrahedron-based assembled space structure units are easy to coincide, the connection accuracy between the regular tetrahedron-based assembled space structure units is greatly improved, and a definite force transmission path is ensured.
Drawings
FIG. 1 is a three-dimensional diagram of an assembled space structure unit based on regular tetrahedrons
FIG. 2 is a three-dimensional graph of space structure nodes based on regular tetrahedrons
FIG. 3 is a connection diagram of an assembled space structure unit and a space structure node based on regular tetrahedrons
FIG. 4 is a connection diagram of four regular tetrahedron-based fabricated space structure units and a space structure node
FIG. 5 is a schematic axial view of a regular tetrahedron-based spatial structure unit in working state
FIG. 6 is a front view of a regular tetrahedron-based spatial structure unit in a working state
FIG. 7 is a stacking diagram of spatial structure units based on regular tetrahedrons
FIG. 8 is a schematic diagram of irregular angle steel based on regular tetrahedron space structure units
FIG. 9 is a cross-sectional view of an irregular angle steel based on regular tetrahedron space structure units
FIG. 10 three-dimensional view of regular tetrahedron-based fabricated space structure units without stiffening plates
FIG. 11 is a view showing the positional relationship between the mounting surface and the irregular angle steel
The reference numbers are as follows: 1. an assembled space structure unit based on a regular tetrahedron; 2. a linear bar member; 3. an assembly surface; 4. a regular tetrahedron-based spatial structure node; 5. a connecting bolt; 6. connecting holes; 7. irregular angle steel; 8. lateral limb surface; 9. an inner limb surface; 10. a stiffening plate; 11. an assembly hole; 12. and (5) connecting the surface.
Detailed Description
The first embodiment is as follows:
an assembled space structure unit 1 based on regular tetrahedron, includes six (group) straight line member 2 and four assembly faces 3, its characterized in that: the included angle between the adjacent linear rod pieces 2 is 60 degrees, and the included angle between the opposite linear rod pieces 2 is 90 degrees; any assembly surface 3 intersects one end of three (group) adjacent linear rod pieces 2 and is parallel to the plane of the other three (group) linear rod pieces 2, and each assembly surface 3 can be matched with the connecting surface 12 of the corresponding regular tetrahedron-based spatial structure node 4 (as shown in fig. 1 and 10).
A circular steel tube or angle steel is adopted as a linear rod piece 2 of the regular tetrahedron-based assembly type space structure unit 1, and a steel plate is adopted as an assembly surface 3 of the regular tetrahedron-based assembly type space structure unit 1. A mounting hole 11 (shown in fig. 1 and 10) connected with the regular tetrahedron-based spatial structure node 4 or other nodes is arranged at the geometric center of the mounting surface 3.
By adopting the regular tetrahedron-based space structure node 4, the assembled space structure units 1 based on the regular tetrahedron are connected in a specific direction, so that the reliability of connection between the units is greatly improved, and a reasonable force transmission mode is ensured. The regular tetrahedron-based fabricated space structure units 1 are orderly connected with each other by the connecting bolts 5 through the assembly holes 11 of the regular tetrahedron-based fabricated space structure units 1 and the connecting holes 6 of the regular tetrahedron-based space structure nodes 4 (see fig. 2, 3 and 4).
The second embodiment is as follows:
an assembled space structure unit 1 based on regular tetrahedron, includes six (group) straight line member 2 and four assembly faces 3, its characterized in that: the included angle between the adjacent linear rod pieces 2 is 60 degrees, and the included angle between the opposite linear rod pieces 2 is 90 degrees; any assembly surface 3 intersects one end of three (group) adjacent linear rod pieces 2 and is parallel to the plane of the other three (group) linear rod pieces 2, and each assembly surface 3 can be matched with the connecting surface 12 of the corresponding regular tetrahedron-based spatial structure node 4 (as shown in fig. 1 and 10).
The linear rod member 2 adopts an irregular angle 7 with an included angle arccos (1/3) on the outer limb surface 8, and further, an included angle arccos (1/3) on the inner limb surface 9 of the irregular angle 7 (see fig. 8, 9 and 11). The mounting face 3 and the connecting face 12 are equilateral triangles of equal size and coinciding with each other (see fig. 3).
The third concrete implementation mode:
an assembled space structure unit 1 based on regular tetrahedron, includes six (group) straight line member 2 and four assembly faces 3, its characterized in that: the included angle between the adjacent linear rod pieces 2 is 60 degrees, and the included angle between the opposite linear rod pieces 2 is 90 degrees; any assembly surface 3 intersects one end of three (group) adjacent linear rod pieces 2 and is parallel to the plane of the other three (group) linear rod pieces 2, and each assembly surface 3 can be matched with the connecting surface 12 of the corresponding regular tetrahedron-based spatial structure node 4 (as shown in fig. 1 and 10).
Stiffening plates 10 are arranged at the edges of the mounting surface 3 and connected to the adjacent irregular steel angles 7, and the outer sides of the stiffening plates 10 and the outer side limb surfaces 8 of the adjacent irregular steel angles 7 are in the same plane (see fig. 10). A mounting hole 11 connected with the regular tetrahedron-based spatial structure node 4 or other nodes is arranged at the geometric center of the mounting surface 3. The joint of the assembling surface 3 and the stiffening plate 10 or the irregular angle steel 7 is in arc surface transition. And connecting the regular tetrahedron-based assembled space structure unit 1 with the regular tetrahedron-based space structure node 4 by using a bolt as a connecting bolt 5, or connecting the regular tetrahedron-based assembled space structure unit 1 with the regular tetrahedron-based space structure node 4 by using a welding mode. The connection mode can be arbitrarily extended according to engineering requirements, is not limited to the legend (such as fig. 4, 5 and 6) of the invention, and the regular tetrahedron-based assembled space structure unit 1 can be repeatedly used after being disassembled, is convenient to stack after being disassembled, and saves space (such as fig. 7).

Claims (10)

1. An assembled space structure unit 1 based on regular tetrahedron, includes six (group) straight line member 2 and four assembly faces 3, its characterized in that: the included angle between the adjacent linear rod pieces 2 is 60 degrees, and the included angle between the opposite linear rod pieces 2 is 90 degrees; any assembly surface 3 is intersected with one end of three (groups) of adjacent linear rod pieces 2 and is parallel to the plane of the other three (groups) of linear rod pieces 2, and each assembly surface 3 can be inosculated with the connecting surface 12 of the corresponding regular tetrahedron-based spatial structure node 4.
2. A regular tetrahedron based fabricated space building element 1 according to claim 1, wherein: round steel pipes or angle steels are adopted as linear rod pieces 2 of the prefabricated space structure unit 1 based on the regular tetrahedron.
3. A regular tetrahedron based fabricated space building element 1 according to claim 1, wherein: a steel plate is used as a mounting surface 3 of the regular tetrahedron-based fabricated space structure unit 1, and a mounting hole 11 connected with the regular tetrahedron-based space structure node 4 or other nodes is arranged at the geometric center of the mounting surface 3.
4. A regular tetrahedron based fabricated space building element 1 according to claims 1-3, wherein: the linear rod member 2 adopts irregular angle steel 7 with an included angle arccos (1/3) between the outer limb surfaces 8 and/or between the inner limb surfaces 9.
5. A regular tetrahedron based fabricated space building element 1 according to claim 1, wherein: the assembly face 3 and the connection face 12 are equilateral triangles of equal size and coinciding with each other.
6. A regular tetrahedron based fabricated space building element 1 according to claim 4, wherein: and stiffening plates 10 are arranged at the edges of the assembling surface 3 and are connected with the adjacent irregular angle steels 7, and the outer sides of the stiffening plates 10 and the outer side limb surfaces 8 of the adjacent irregular angle steels 7 are in the same plane.
7. A regular tetrahedron based fabricated space building element 1 according to claim 1, wherein: and arranging a mounting hole connected with a regular tetrahedron-based spatial structure node or other nodes at the geometric center of the mounting surface.
8. A regular tetrahedron based fabricated space building element 1 according to claim 1, wherein: and connecting the regular tetrahedron-based assembled space structure unit 1 with the regular tetrahedron-based space structure node 4 by using a bolt as a connecting bolt 5, or connecting the regular tetrahedron-based assembled space structure unit 1 with the regular tetrahedron-based space structure node 4 by using a welding mode.
9. A regular tetrahedron based fabricated space building element 1 according to claim 1, wherein: the joint of the assembling surface and the stiffening plate or the irregular angle steel is in cambered surface transition.
10. A regular tetrahedron based fabricated space building element 1 according to claim 1, wherein: the regular tetrahedron-based fabricated space structure units 1 are orderly connected by the connecting bolts 5 through the assembly holes 11 of the regular tetrahedron-based fabricated space structure units 1 and the connecting holes 6 of the regular tetrahedron-based space structure nodes 4.
CN202010643352.4A 2020-07-06 2020-07-06 Assembled spatial structure unit based on regular tetrahedron Active CN111997181B (en)

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Citations (7)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
GB1165493A (en) * 1967-02-17 1969-10-01 Pierre Nierle Construction Unit for Buildings
WO1996009447A1 (en) * 1994-09-23 1996-03-28 Iverson Jeffrey B Modular space frame
DE29702734U1 (en) * 1997-02-17 1998-06-25 Nagel, Richard, 28199 Bremen Carrier element
CN102392492A (en) * 2011-09-28 2012-03-28 江苏科技大学 Lattice steel structure node connecting device
CN104674943A (en) * 2015-02-03 2015-06-03 天津大学 Hub-cover plate composite aluminum-alloy bilayer grid structure
CN204491829U (en) * 2015-02-03 2015-07-22 天津大学 A kind of hub-cover plate Al-alloy double layer grid structure
CN108571066A (en) * 2018-05-14 2018-09-25 中国路桥工程有限责任公司 A kind of tetrahedron solid frameworks structure

Patent Citations (7)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
GB1165493A (en) * 1967-02-17 1969-10-01 Pierre Nierle Construction Unit for Buildings
WO1996009447A1 (en) * 1994-09-23 1996-03-28 Iverson Jeffrey B Modular space frame
DE29702734U1 (en) * 1997-02-17 1998-06-25 Nagel, Richard, 28199 Bremen Carrier element
CN102392492A (en) * 2011-09-28 2012-03-28 江苏科技大学 Lattice steel structure node connecting device
CN104674943A (en) * 2015-02-03 2015-06-03 天津大学 Hub-cover plate composite aluminum-alloy bilayer grid structure
CN204491829U (en) * 2015-02-03 2015-07-22 天津大学 A kind of hub-cover plate Al-alloy double layer grid structure
CN108571066A (en) * 2018-05-14 2018-09-25 中国路桥工程有限责任公司 A kind of tetrahedron solid frameworks structure

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