CN215859352U - Rhombic dodecahedron stacked and combined space hyperboloid latticed shell structure - Google Patents
Rhombic dodecahedron stacked and combined space hyperboloid latticed shell structure Download PDFInfo
- Publication number
- CN215859352U CN215859352U CN202122485224.4U CN202122485224U CN215859352U CN 215859352 U CN215859352 U CN 215859352U CN 202122485224 U CN202122485224 U CN 202122485224U CN 215859352 U CN215859352 U CN 215859352U
- Authority
- CN
- China
- Prior art keywords
- shell structure
- reticulated shell
- curved
- curved surface
- boundary
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Active
Links
- QNRATNLHPGXHMA-XZHTYLCXSA-N (r)-(6-ethoxyquinolin-4-yl)-[(2s,4s,5r)-5-ethyl-1-azabicyclo[2.2.2]octan-2-yl]methanol;hydrochloride Chemical compound Cl.C([C@H]([C@H](C1)CC)C2)CN1[C@@H]2[C@H](O)C1=CC=NC2=CC=C(OCC)C=C21 QNRATNLHPGXHMA-XZHTYLCXSA-N 0.000 title claims abstract description 52
- 230000002457 bidirectional effect Effects 0.000 claims abstract description 28
- 238000005452 bending Methods 0.000 claims abstract description 14
- 229910000831 Steel Inorganic materials 0.000 claims description 10
- 239000010959 steel Substances 0.000 claims description 10
- 230000001154 acute effect Effects 0.000 claims description 3
- 230000000694 effects Effects 0.000 abstract description 5
- 230000009286 beneficial effect Effects 0.000 abstract description 2
- 238000010586 diagram Methods 0.000 description 10
- 238000000034 method Methods 0.000 description 7
- 230000010076 replication Effects 0.000 description 4
- 230000015572 biosynthetic process Effects 0.000 description 3
- 230000007547 defect Effects 0.000 description 2
- 238000012986 modification Methods 0.000 description 2
- 230000004048 modification Effects 0.000 description 2
- 238000005457 optimization Methods 0.000 description 2
- 230000035939 shock Effects 0.000 description 2
- 238000009825 accumulation Methods 0.000 description 1
- 238000003491 array Methods 0.000 description 1
- 230000002146 bilateral effect Effects 0.000 description 1
- 230000006835 compression Effects 0.000 description 1
- 238000007906 compression Methods 0.000 description 1
- 210000001503 joint Anatomy 0.000 description 1
Images
Landscapes
- Buildings Adapted To Withstand Abnormal External Influences (AREA)
Abstract
The utility model relates to a rhombic dodecahedron stacked and combined space hyperboloid latticed shell structure, which comprises a negative-curvature bidirectional curved surface latticed shell structure; the basic unit of the dodecahedron is formed by butting four rhombic dodecahedrons in a bidirectional oblique mode along a plane; the orthogonal array assembly is generated by copying the dodecahedron basic unit along three orthogonal directions; the array combination rotating body is generated by rotating the orthogonal array combination body around a space rotating shaft by a certain angle; the boundary cutting structure is generated by cutting the array combined rotating body from a span to a plane boundary or from a span to a curved surface boundary; the plane boundary cutting structure generates a negative curvature bidirectional curved surface reticulated shell structure through negative curvature bidirectional bending arching. The utility model has the beneficial effects that: the utility model is a novel space structure form, compared with the traditional space grid structure and the traditional reticulated shell structure, the utility model has the advantages of repeated array effect, less node connecting rod pieces, less rod piece specifications, large earthquake-resistant ductility, attractive appearance and the like.
Description
Technical Field
The utility model belongs to the technical field of structural engineering, and relates to a rhombic dodecahedron stacked and combined space hyperboloid latticed shell structure.
Background
The idea of the stacking assembly comes from the bubble theory in physics, and the rhombic dodecahedron stacking assembly belongs to a typical stacking body, and can fill all spaces without gaps after three-dimensional expansion. The rhombic dodecahedron is composed of 12 identical rhombuses, only has 1 edge length and 2 crossed node types, the number of node connecting rod pieces corresponding to the 2 crossed nodes is 3 and 4 respectively, and the structure is simple.
The basic unit of the rhombic dodecahedron has repeatability in the directions of three coordinate axes of a top view, a rear view and a left view, and can be subjected to array replication along three orthogonal directions to generate an orthogonal array assembly so as to fill the whole three-dimensional space, wherein the polyhedron is a space filling polyhedron. The space polyhedron can obtain a plane rigid frame structure or a curved reticulated shell structure meeting the requirements of building modeling and structural rigidity after being cut by a building boundary.
The span of the plane rigid frame structure is easily limited by larger vertical deformation deflection, thereby causing larger thickness of the plane rigid frame. In order to improve the bearing performance, increase the structural rigidity and increase the space span, the curved surface reticulated shell structure is often adopted in the actual engineering to fully utilize the arc axial compression stress mode of the curved surface structure, which is an effective solution. The curved reticulated shell mainly has the forms of a cylindrical reticulated shell, a spherical reticulated shell, a dome reticulated shell, a hyperboloid reticulated shell and the like.
The borderlines of the rhombic dodecahedron cut on the cutting surface of the building respectively form an upper chord and a lower chord of the roof structure, and the edges of the original rhombic dodecahedron reserved inside the cutting surface form web members inside the structure. There are two effective solutions to the formation of a curved reticulated shell structure: one is to directly perform curved surface cutting on a space filling polyhedron to form a curved surface reticulated shell structure; and the other method is to generate a plane rigid frame structure by plane cutting and then perform one-way or two-way bending and arching to form a curved reticulated shell structure. The number, the length and the included angle of the rod pieces connected with the nodes of the former are not changed, but the grids can be messy after cutting, and the cutting position and the cutting curved surface are limited to a certain extent; the length and the included angle of the rod pieces connected with the nodes of the latter are changed, but the grids are relatively regular; both have certain application ranges.
Compared with the traditional space grid structure and the traditional reticulated shell structure, the rhombic dodecahedron stacked and combined curved reticulated shell structure has the advantages of small quantity of node-connected rods, small length specification, simple node form, good bearing rigidity and the like, and has wide application prospect in the field of building structures such as large-span space structure roofs and wall surfaces.
In conclusion, it is necessary to research the form and design method of a rhombic dodecahedron stacked and combined space hyperboloid latticed shell structure to be suitable for designing and bearing a large-span space curved surface building modeling roof and wall surface structure system which requires simple node structure, few rod piece specifications, large earthquake resistance and ductility and attractive appearance.
SUMMERY OF THE UTILITY MODEL
The utility model aims to overcome the defects in the prior art and provide a rhombic dodecahedron stacked and combined space hyperboloid latticed shell structure.
The rhombic dodecahedron stacked and combined space hyperboloid latticed shell structure comprises a negative-curvature bidirectional curved surface latticed shell structure; the rhombic dodecahedron is a polyhedron formed by twelve congruent rhombuses; the basic unit of the dodecahedron is formed by butting four rhombic dodecahedrons in a bidirectional oblique mode along a plane; the orthogonal array assembly is generated by copying the dodecahedron basic unit along three orthogonal directions; the array combination rotating body is generated by rotating the orthogonal array combination body around a space rotating shaft by a certain angle; the boundary cutting structure is generated by cutting the array combined rotating body from a span to a plane boundary or from a span to a curved surface boundary and comprises a plane boundary cutting structure and a curved surface boundary cutting structure (the array combined rotating body adopts a curved surface reticulated shell structure generated by cutting from the span to the curved surface boundary, which belongs to the cutting curved surface, and the generated curved surface reticulated shell structure is the curved surface boundary cutting structure); the curved surface reticulated shell structure is generated by arching and curving the planar boundary cutting structure, and the planar boundary cutting structure generates a negative curvature bidirectional curved surface reticulated shell structure through negative curvature bidirectional bending arching.
Furthermore, the curved surface reticulated shell structure consists of a structural side line of a cutting surface, a surface edge of the original rhombic dodecahedron and an inner edge of the original rhombic dodecahedron and is a rigid connection space beam system structure.
Furthermore, the rhombic dodecahedron consists of twelve identical rhombuses, only has one edge length and two types of crossed nodes, the number of connecting rods of each node is three or four corresponding to the two types of crossed nodes, the number of connecting rods of the nodes is small, and the structure is simple; the basic unit of the dodecahedron consists of four rhombic dodecahedrons which are butted along a first plane oblique crossing direction and a second plane oblique crossing direction which form an acute angle.
Further, the dodecahedron base unit has repeatability in the directions of three orthogonal coordinate axes of top view, rear view, and left view.
Further, the orthogonal array combination is generated by array replication of the dodecahedron basic unit along three orthogonal directions, so that the whole three-dimensional space is filled, namely the space filling polyhedron.
Further, the orthogonal array combination can rotate around any spatial axis to generate an array combination rotating body; in order to make the array combined rotating body after rotation have good regularity in cutting, the array combined rotating body generally rotates around an X axis, a Y axis, a Z axis or a space diagonal axis as a space rotating axis.
Furthermore, the array combined rotator is a polyhedral accumulation body filled with compact spaces, and a plate-shell-shaped structure meeting building modeling and structural rigidity can be obtained by cutting building boundaries and is used as a building roof or a building wall surface of a large-span space.
Furthermore, the boundary cutting structure is formed by combining building boundary cutting arrays with rotating bodies, and is generally cut into a thin two-dimensional plate shell structure form in order to meet the reasonable requirements of large span space and steel; correspondingly generating a plane boundary cutting structure and a curved surface boundary cutting structure according to the cutting boundary form comprising a span-to-plane boundary and a span-to-curved surface boundary; the cut boundary in the thickness direction of the plate shell structure is also generally a planar cut boundary, i.e. a thickness-to-planar boundary.
Further, the array combined rotating body cuts towards the plane boundary through the span to generate a plane boundary cutting structure, namely the plane rigid frame structure; when the space span is not more than 50 meters, the plane rigid frame structure can be directly applied to a roof structure of a large-span space.
Further, the array combined rotating body cuts the curved surface boundary through the span to generate a curved surface boundary cutting structure, namely a curved surface reticulated shell structure; the curved surface shape of the span-wise curved surface boundary is determined according to the building boundary shape and can be a hyperboloid shape; the net shell structure with the negative curvature bidirectional curved surface is a double-curved-surface net shell structure, the double-curved-surface shape is a double-curved-surface negative Gaussian curvature curved surface shape which is bent in two directions, the stability is good, and the net shell structure is mainly suitable for a complex building modeling roof structure with the negative curvature curved surface shape.
Furthermore, the curved surface reticulated shell structure makes full use of the arc axis pressure stress mode of the curved surface structure, and compared with a plane rigid frame structure, the curved surface reticulated shell structure effectively improves the bearing performance, increases the structural rigidity and increases the space span.
Further, when the array combined rotating body is cut to be curved, a curved reticulated shell structure, namely a curved boundary cutting structure, is directly generated by cutting the array combined rotating body by using a Boolean operation difference set of the curved building boundary shape.
Further, when the arch camber is curved, a curved surface reticulated shell structure is generated by adopting a curved arch camber mode for the planar boundary cutting structure, negative curvature bidirectional curved arch camber is adopted, curved surface curved positioning is carried out through a curved surface control line of the negative curvature bidirectional curved arch camber, and the negative curvature bidirectional curved surface reticulated shell structure is generated.
Furthermore, according to the control of the curved arch camber form, the corresponding curved building model can be realized, and the curved surface shape is adopted; the hyperboloid shape is a negative curvature bi-directional bending arch.
Furthermore, the curved reticulated shell structure comprises two types of structural members, namely a surface chord member and an internal web member, which are all bent beam units; the surface chord member is positioned on the surface of the curved reticulated shell structure and comprises a structural sideline for cutting the surface and a surface edge of an original rhombic dodecahedron; the structural sideline of the cutting surface is a structural sideline newly generated by the cutting surface passing through the surface of the tetrakaidecahedron, and the surface edge of the original tetrakaidecahedron is the original structural sideline when the cutting surface passes through the edge of the tetrakaidecahedron; the internal web member is positioned inside the curved reticulated shell structure and only consists of the internal edges of the original rhombic dodecahedron; the surface chord member is generally a box section steel member, and the inner web member is generally a circular tube section steel member.
Furthermore, the curved reticulated shell structure comprises two node forms, namely an internal node connected between internal web members and a surface node connected between surface chords, and the two node forms are rigid connection nodes; the internal node is positioned inside the curved surface reticulated shell structure and is a welded hollow sphere node; the surface node is positioned on the surface of the curved surface reticulated shell structure and is a welded hollow sphere node or a drum node.
For the formation of the space curved surface reticulated shell structure formed by stacking and combining the rhombic dodecahedron, the processes of combining, arraying, rotating, cutting, bending and the like of polyhedral units are required; therefore, the size of the rhombic dodecahedron, the spatial rotation axis, the rotation angle, the cutting position, the cutting boundary shape, the bending vector-span ratio and the like are all important parameters influencing the geometric constitution of the whole structure, can be properly changed according to actual requirements, and realize different architectural appearance effects and structural optimization designs.
The utility model has the beneficial effects that: the utility model provides a rhombic dodecahedron stacked and combined space hyperboloid latticed shell structure which is a novel space structure form, has the advantages of repeated array effect, less node connecting rod pieces, less rod piece specifications, large shock resistance and ductility, attractive appearance and the like compared with the traditional space grid structure and latticed shell structure, can be applied to large-span space curved surface building modeling roofs and wall steel structures in exhibition halls, gymnasiums and the like, and has wide prospect.
Drawings
FIG. 1 is a schematic structural diagram of an embodiment of a rhombic dodecahedron stacking combined space hyperboloid reticulated shell structure of the utility model;
FIG. 2 is a top plan view of an embodiment of the hyperboloid reticulated shell structure of the present invention, shown cut A-A in FIG. 1;
FIG. 3 is a sectional front view of an embodiment of the hyperboloid reticulated shell structure of the present invention, namely, a sectional view B-B in FIG. 1;
FIG. 4 is a right side view, in section, of an embodiment of the hyperboloid reticulated shell structure of the present invention, shown in FIG. 1 as a schematic view in section C-C;
FIGS. 5 a-5 d are schematic diagrams of a rhombic dodecahedron, a rhombic dodecahedron basic unit, an orthogonal array assembly and an array assembly rotating body, respectively;
FIG. 6 is a schematic view of the positioning of the spatial diagonal axis of the orthogonal array arrangement as the spatial rotation axis;
FIG. 7 is a schematic structural diagram of a curved reticulated shell structure generated by boundary cutting (FIGS. 7a to 7d are respectively a schematic layout diagram of planar boundary cutting, a schematic layout diagram of curved boundary cutting, a schematic diagram of planar boundary cutting, and a schematic diagram of curved boundary cutting);
FIG. 8 is a schematic structural diagram of a curved arch generating curved reticulated shell structure (FIGS. 8 a-8 b are respectively a schematic arrangement diagram of a negative curvature bi-directional curved arch, a schematic structural diagram of a negative curvature bi-directional curved reticulated shell structure);
description of reference numerals: 1-a rhombohedral dodecahedron; 2-dodecahedral base unit; 3-first plane skew direction; 4-second plane diagonal direction; 5-orthogonal array assembly; 6-array combined rotating body; 7-spatial rotation axis; 8-span to plane boundaries; 9-span to curved surface boundary; 10-thickness to plane boundaries; 11-planar boundary cutting structures; 12-curved boundary cutting structure; 13-structural edge lines of the cut surface; 14-surface edge of original rhombohedral; 17-a negative curvature bi-directionally curved arching surface control line; 20-negative curvature bidirectional curved surface reticulated shell structure; 21-surface chord; 22-inner web member; 23-internal edge of original rhombohedral; 24-internal nodes; 25-surface node.
Detailed Description
The present invention will be further described with reference to the following examples. The following examples are set forth merely to aid in the understanding of the utility model. It should be noted that, for those skilled in the art, it is possible to make various improvements and modifications to the present invention without departing from the principle of the present invention, and those improvements and modifications also fall within the scope of the claims of the present invention.
Example one
The first embodiment of the present application provides a rhombic dodecahedron stacked and combined space hyperboloid reticulated shell structure, as shown in fig. 1, 5a to 5d, and 7c to 7 d. A rhombohedral dodecahedron (fig. 5a) is a polyhedron made up of 12 congruent rhombuses; the basic unit of the dodecahedron (figure 5b) is formed by the two-way oblique crossing and butt joint of 4 rhombic dodecahedrons along the plane; the orthogonal array assembly (fig. 5c) is generated by array replication of the dodecahedron basic unit along three orthogonal directions; the array combination rotator (fig. 5d) is generated by rotating the orthogonal array combination around a space rotating shaft by a certain angle; the boundary cutting structure (fig. 7 c-7 d) is generated by a building boundary cutting array combined rotating body and comprises a plane boundary cutting structure and a curved surface boundary cutting structure (a curved surface reticulated shell structure generated by cutting the array combined rotating body from a span direction to a curved surface boundary belongs to cutting curved surface, and the generated curved surface reticulated shell structure is the curved surface boundary cutting structure); the curved reticulated shell structure (fig. 1) is generated by the curved surface of the boundary cutting structure; the cutting and curving process is to adopt a curved surface reticulated shell structure generated by cutting a curved surface building boundary to the array combined rotating body, namely a curved surface boundary cutting structure; the arching and curving is a curved reticulated shell structure generated by adopting negative curvature bidirectional bending arching on a planar boundary cutting structure.
As shown in fig. 1, 2, 3 and 4, the curved reticulated shell structure is composed of a structural side line 13 of a cut surface, a surface edge 14 of an original rhombic dodecahedron, and an inner edge 23 of the original rhombic dodecahedron, and is a rigid-connection space beam system structure.
As shown in fig. 1 and fig. 5a to 5d, the rhombic dodecahedron 1 is composed of 12 identical rhombuses, and has only 1 edge length and 2 types of crossing nodes, the number of connecting rods of each node is 3 and 4 corresponding to 2 types of crossing nodes, and the number of connecting rods of the node is small, so that the structure is simple; the dodecahedron basic unit 2 is composed of 4 rhombic dodecahedrons 1 and formed by butting along a first plane oblique crossing direction 3 and a second plane oblique crossing direction 4 which form acute angles.
As shown in fig. 1, 5 a-5 d, the dodecahedron base unit 2 has repeatability in the directions of the three orthogonal coordinate axes of the top, rear, and left views.
As shown in fig. 5 a-5 d, the orthogonal array assembly 5 is generated by array replication of the dodecahedron base unit 2 along three orthogonal directions, so as to fill the whole three-dimensional space, i.e. a space-filling polyhedron.
As shown in fig. 5 a-5 d and fig. 6, the orthogonal array assembly 5 can rotate around any spatial axis to generate an array assembly rotator 6; in order to provide the rotated array rotor 6 with good regularity in cutting, the array rotor is generally rotated around a spatial rotation axis 7 which is an X axis, a Y axis, a Z axis, or a spatial diagonal axis. In this embodiment, the spatial rotation axis 7 is a spatial diagonal axis, and the orthogonal array assembly 5 is rotated by 60 ° around the spatial diagonal axis to generate the array assembly rotator 6.
As shown in fig. 1 and fig. 7a to 7d, the array combined rotator 6 is a polyhedron stacked body filled with dense space, and a plate-shell-shaped structure meeting building modeling and structural rigidity can be obtained by cutting building boundaries, and is used as a building roof or a building wall surface of a large-span space.
As shown in fig. 7 a-7 d, the boundary cutting structure is formed by building a boundary cutting array combined rotating body 6, and is generally cut into a thin two-dimensional plate shell structure form in order to meet the reasonable requirements of large span space and steel; the cutting boundary form comprises a span-wise plane boundary 8 and a span-wise curved surface boundary 9, and a plane boundary cutting structure 11 and a curved surface boundary cutting structure 12 are correspondingly generated; the cut boundary in the thickness direction of the plate-shell structure is also generally a planar cut boundary, i.e. the thickness-direction planar boundary 10.
As shown in fig. 7 a-7 d, the array combined rotating body 6 is cut across the planar boundary 8 to generate a planar boundary cutting structure 11, i.e. a planar rigid frame structure; when the space span is not more than 50 meters, the plane rigid frame structure can be directly applied to a roof structure of a large-span space.
As shown in fig. 7a to 7d, the array combined rotating body 6 is cut in a span direction to the curved boundary 9 to generate a curved boundary cutting structure 12, i.e. a curved reticulated shell structure; the curved surface shape spanning the curved surface boundary 9 is determined by the shape of the building boundary, and may be a hyperboloid shape.
As shown in fig. 1, 8 a-8 b, the curved reticulated shell structure is generated by curving of the boundary cutting structure, including cutting curving and arching curving; the curved surface reticulated shell structure makes full use of the arc axial pressure stress mode of the curved surface structure, and effectively improves the bearing performance, increases the structural rigidity and increases the space span relative to a plane rigid frame structure.
As shown in fig. 1, 7b, and 7d, when the array combined rotating body 6 is curved, a curved reticulated shell structure, that is, a curved boundary cutting structure 12 is directly generated by performing boolean operation difference set cutting of the curved building boundary shape on the array combined rotating body 6.
As shown in fig. 1 and fig. 8a to 8b, when the planar boundary cutting structure 11 is curved, a curved reticulated shell structure is generated by adopting a curved arching method, a negative-curvature bidirectional curved arching is adopted, and curved surface bending positioning is performed through a curved surface control line 17 of the negative-curvature bidirectional curved arching, so as to generate a negative-curvature bidirectional curved reticulated shell structure 20. In this embodiment, the negative curvature bidirectional curved surface reticulated shell structure 20 is a hyperboloid reticulated shell structure.
As shown in fig. 8 a-8 b, according to the control of the curved arch camber form, a corresponding curved building shape can be realized, taking a hyperboloid shape; the hyperbolic shape is a negative curvature bidirectional bending arch.
As shown in fig. 1, 2, 3 and 4, the curved reticulated shell structure includes two types of structural members, namely a surface chord member 21 and an internal web member 22, which are both flexural beam units; the surface chord member 21 is positioned on the surface of the curved surface reticulated shell structure and comprises a structure sideline 13 of a cutting surface and a surface edge 14 of an original rhombic dodecahedron; the structure sideline 13 of the cutting surface is a structure sideline newly generated by the cutting surface passing through the surface of the tetrakaidecahedron 1, and the surface edge 14 of the original tetrakaidecahedron is the original structure sideline when the cutting surface passes through the edge of the tetrakaidecahedron 1; the internal web member 22 is positioned inside the curved reticulated shell structure and only consists of the internal edge 23 of the original rhombic dodecahedron; the surface chord 21 is typically a box section steel member and the inner web 22 is typically a round tube section steel member.
As shown in fig. 1 and 3, the curved reticulated shell structure includes two types of node forms, namely an internal node 24 connected between the internal web members 22 and a surface node 25 connected between the surface chords 21, which are rigid connection nodes; the internal node 24 is positioned inside the curved reticulated shell structure and is a welded hollow sphere node; the surface nodes 25 are positioned on the surface of the curved reticulated shell structure and are welded hollow sphere nodes or drum nodes.
For the formation of the space curved surface reticulated shell structure formed by stacking and combining the rhombic dodecahedron, the processes of combining, arraying, rotating, cutting, bending and the like of polyhedral units are required; therefore, the size of the rhombic dodecahedron, the spatial rotation axis, the rotation angle, the cutting position, the cutting boundary shape, the bending vector-span ratio and the like are all important parameters influencing the geometric constitution of the whole structure, can be properly changed according to actual requirements, and realize different architectural appearance effects and structural optimization designs.
Example two
The second embodiment of the present application aims to form a hyperboloid reticulated shell structure with a span of 40m × 40m, a thickness of 3.0m and a negative curvature bilateral vector-span ratio of 1/6, as shown in fig. 1. The method comprises the steps of generating a dodecahedron basic unit 2 by connecting 4 units (the distance between two surfaces of the rhombic dodecahedron is the unit size) of a size of 4m in a bidirectional oblique mode through 4 rhombic dodecahedron 1, then generating an orthogonal array assembly 5 by array copying along the orthogonal direction of three coordinate axes, further rotating 60 degrees around a vector axis of space diagonal axes (0, 0, 0) → (1, 1, 1) to form an array combination rotating body 6, cutting a building space according to a building boundary of 40m multiplied by 3m to obtain a plane boundary cutting structure 11, and finally bending and arching according to a negative curvature bidirectional span ratio of 1/6 to generate the hyperboloid latticed shell structure, wherein the hyperboloid latticed shell structure belongs to a negative curvature bidirectional curved latticed shell structure 20.
Compared with the defects of the prior art, the rhombic dodecahedron stacked and combined space hyperboloid latticed shell structure provided by the utility model is a novel space structure form, has the advantages of repeated array effect, less node connecting rod pieces, less rod piece specifications, large shock resistance ductility, attractive appearance and the like, can be applied to large-span space curved surface building modeling roofs and wall steel structures in exhibition halls, gymnasiums and the like, and has a wide prospect.
Claims (6)
1. A rhombohedral dodecahedron stacked and combined space hyperboloid reticulated shell structure is characterized in that: comprises a negative curvature bidirectional curved surface reticulated shell structure (20); the rhombic dodecahedron (1) is a polyhedron formed by twelve congruent rhombuses; the dodecahedron basic unit (2) is formed by butting four rhombic dodecahedrons in a bidirectional oblique mode along a plane; the orthogonal array assembly (5) is generated by array copying of the dodecahedron basic unit (2) along three orthogonal directions; the array combined rotating body (6) is generated by rotating the orthogonal array combined body (5) around a space rotating shaft (7) by a certain angle; the boundary cutting structure is generated by cutting the array combined rotating body (6) from a span-to-plane boundary (8) or a span-to-curved boundary (9) and comprises a plane boundary cutting structure (11) and a curved boundary cutting structure (12); the curved surface reticulated shell structure is formed by arching and curving of the plane boundary cutting structure (11), the plane boundary cutting structure (11) generates a negative curvature bidirectional curved surface reticulated shell structure (20) through a curved surface control line (17) of negative curvature bidirectional bending arching, and the negative curvature bidirectional curved surface reticulated shell structure (20) is a hyperboloid reticulated shell structure which is in a bidirectional bending negative Gaussian curvature curved surface shape.
2. The rhombic dodecahedron piled combined space hyperboloid reticulated shell structure according to claim 1, characterized in that: the rhombic dodecahedron comprises an edge length and two types of cross nodes, and the number of connecting rods of each node is three or four corresponding to the two types of cross nodes.
3. The rhombic dodecahedron piled combined space hyperboloid reticulated shell structure according to claim 1, characterized in that: the basic unit of the dodecahedron consists of four rhombic dodecahedrons which are butted along a first plane oblique crossing direction (3) and a second plane oblique crossing direction (4) which form an acute angle.
4. The rhombic dodecahedron piled combined space hyperboloid reticulated shell structure according to claim 1, characterized in that: the array combined rotating body (6) cuts towards the plane boundary (8) through span to generate a plane boundary cutting structure (11); the array combined rotating body (6) cuts the curved surface boundary (9) through the span to generate a curved surface boundary cutting structure (12).
5. The rhombic dodecahedron piled combined space hyperboloid reticulated shell structure according to claim 1, characterized in that: the curved reticulated shell structure comprises a surface chord (21) and an internal web member (22); the surface chord member is positioned on the surface of the curved surface reticulated shell structure and comprises a structure side line (13) of a cutting surface and a surface edge (14) of an original rhombic dodecahedron; the internal web member is positioned inside the curved reticulated shell structure and consists of an internal edge (23) of the original rhombic dodecahedron; the surface chord member is a box-section steel member, and the inner web members are circular tube-section steel members.
6. The rhombic dodecahedron piled combined space hyperboloid reticulated shell structure according to claim 1, characterized in that: the curved reticulated shell structure comprises internal nodes (24) connected between the internal web members (22) and surface nodes (25) connected between the surface chords (21), and the internal nodes and the surface nodes are rigid connection nodes; the internal node is positioned inside the curved surface reticulated shell structure and is a welded hollow sphere node; the surface node is positioned on the surface of the curved surface reticulated shell structure and is a welded hollow sphere node or a drum node.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202122485224.4U CN215859352U (en) | 2021-10-14 | 2021-10-14 | Rhombic dodecahedron stacked and combined space hyperboloid latticed shell structure |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202122485224.4U CN215859352U (en) | 2021-10-14 | 2021-10-14 | Rhombic dodecahedron stacked and combined space hyperboloid latticed shell structure |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| CN215859352U true CN215859352U (en) | 2022-02-18 |
Family
ID=80260640
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN202122485224.4U Active CN215859352U (en) | 2021-10-14 | 2021-10-14 | Rhombic dodecahedron stacked and combined space hyperboloid latticed shell structure |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN215859352U (en) |
-
2021
- 2021-10-14 CN CN202122485224.4U patent/CN215859352U/en active Active
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| CN113737944B (en) | Rhombic dodecahedron stacked and combined spatial curved surface reticulated shell structure and forming method | |
| Stephan et al. | Reticulated structures on free-form surfaces | |
| US9765547B2 (en) | Node structures for lattice frames | |
| KR20110022468A (en) | Three dimensional lattice truss structures composed of helical wires, and the manufacturing method of the same | |
| Schober | Transparent shells: Form, topology, structure | |
| US20100162637A1 (en) | Supporting Structure for Freeform Surfaces in Buildings | |
| JP2011170350A (en) | Spherical surface display, and method of filling spherical surface of rectangle display panel | |
| KR20110139543A (en) | Three dimensional lattice truss structures and manufacturing method of the same | |
| CN106703199A (en) | Three-dimensional overall modular expansion structure | |
| CN215859352U (en) | Rhombic dodecahedron stacked and combined space hyperboloid latticed shell structure | |
| CN215859350U (en) | Rhombic dodecahedron stacked and combined space spherical reticulated shell structure | |
| CN215802275U (en) | Rhombic dodecahedron stacked and combined spatial cylindrical surface reticulated shell structure | |
| CN215926270U (en) | Fourteen-surface-body-stacked combined space hyperboloid latticed shell structure | |
| CN215859351U (en) | Fourteen-surface-body-stacked combined spatial curved surface reticulated shell structure | |
| US20020166294A1 (en) | Spherical and polyhedral shells with improved segmentation | |
| CN113756432B (en) | Fourteen-surface-body-stacked combined spatial curved surface reticulated shell structure and forming method | |
| CN117587919A (en) | Ribbon-shaped bending combined steel pipe component and processing and manufacturing method thereof | |
| CN111287503A (en) | Modular building structure unit and building | |
| Brancart et al. | Bending-active reciprocal structures based on equilateral polyhedral geometries | |
| CN214463072U (en) | Fourteen-surface body stacked and combined cambered surface space rigid frame structure | |
| CN211899903U (en) | Modular building structure unit and building | |
| Rizzuto et al. | Polyhedric space structures using reciprocally supported elements of various cross-sections | |
| JP4730850B2 (en) | Domed structure | |
| CN113026951A (en) | Bidirectional folded plate cylindrical surface latticed shell structure and construction method thereof | |
| CN112627435A (en) | Rigid paper folding structure with same shape inside and outside |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| GR01 | Patent grant | ||
| GR01 | Patent grant |