CN215859351U - Fourteen-surface-body-stacked combined spatial curved surface reticulated shell structure - Google Patents
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Abstract
The utility model relates to a fourteen-surface stacked and combined spatial curved surface reticulated shell structure, which comprises a unidirectional curved surface reticulated shell structure and a positive-curvature bidirectional curved surface reticulated shell structure; 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 curved reticulated shell structure is generated by arching and curving the planar boundary cutting structure, and the planar boundary cutting structure respectively generates a unidirectional curved reticulated shell structure and a positive-curvature bidirectional curved reticulated shell structure through unidirectional bending arching and positive-curvature bidirectional bending arching. The utility model has the beneficial effects that: compared with the traditional space grid structure and the traditional reticulated shell structure, the novel space grid structure has the advantages of repeated array effect, few node connecting rod pieces, few 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 fourteen-surface-body stacked and combined spatial curved-surface reticulated shell structure.
Background
The idea of the stacking assembly comes from the bubble theory in physics, and the kelvin tetrakaidecahedron stacking assembly belongs to a typical stacking body, and can fill all spaces without gaps after three-dimensional expansion. The tetrakaidecahedron is composed of 8 regular hexagons and 6 regular quadrilaterals, and only has 1 edge length and 1 cross node type, the number of connecting rods of each node is 3, the number of connecting rods of the nodes is less, and the structure is simple.
The basic unit of the tetrakaidecahedron has repeatability in the directions of three coordinate axes of a top view, a back view and a left view, and the tetrakaidecahedron can be subjected to array replication along three orthogonal directions to generate an orthogonal array assembly, so that the whole three-dimensional space is filled, and 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 side lines of the fourteen-surface bodies 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 fourteen-surface bodies 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 fourteen-surface-body-stacked 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 a form and a design method of a fourteen-surface stacked and combined spatial curved surface latticed shell structure, so as to be suitable for designing and bearing a large-span spatial 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 fourteen-surface-body stacked and combined spatial curved surface reticulated shell structure.
The fourteen-surface stacked and combined spatial curved surface reticulated shell structure comprises a unidirectional curved surface reticulated shell structure and a positive-curvature bidirectional curved surface reticulated shell structure; the tetrakaidecahedron is a polyhedron formed by eight regular hexagons and six regular quadrilaterals; the basic unit of the tetrakaidecahedron is formed by butting two tetrakaidecahedrons along the 45-degree oblique crossing direction of a plane; the orthogonal array assembly is generated by copying a tetrakaidecahedron basic unit along three orthogonal directions, so that the whole three-dimensional space is filled, namely a space filling polyhedron; 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 reticulated shell structure is generated by arching and curving the planar boundary cutting structure, and the planar boundary cutting structure respectively generates a unidirectional curved reticulated shell structure and a positive-curvature bidirectional curved reticulated shell structure through unidirectional bending arching and positive-curvature bidirectional bending arching.
Furthermore, the curved surface latticed shell structure consists of a structure side line of a cutting surface, a surface edge of the original fourteen-surface body and an inner edge of the original fourteen-surface body and is a space beam system structure which is in rigid connection.
Furthermore, the fourteen-surface body only has one edge length and one cross node type, the number of connecting rods of each node is three, the number of connecting rods of the node is small, and the structure is simple; the basic unit of the tetrakaidecahedron is composed of two tetrakaidecahedrons which are butted in the plane oblique direction forming an angle of 45 degrees with the plane orthogonal reference axis.
Further, the tetrakaidecahedron base unit has repeatability in the directions of three orthogonal coordinate axes of top view, back view, and left view.
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 shape of the curved surface spanning to the curved surface boundary is determined according to the shape of the building boundary, and generally has a cylindrical surface shape and a spherical surface shape; the unidirectional curved surface reticulated shell structure is a cylindrical surface reticulated shell structure, the cylindrical surface is a unidirectional curved surface shape with zero Gaussian curvature, and the unidirectional curved surface reticulated shell structure is mainly suitable for unidirectional large-span space roof structures; the net shell structure with the positive curvature bidirectional curved surface is a spherical net shell structure, and the spherical surface is a bidirectional curved surface with the positive Gaussian curvature, and is mainly suitable for bidirectional large-span space roof structures.
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 reticulated shell structure is generated by adopting a curved arching mode for the planar boundary cutting structure, the curved reticulated shell structure comprises a unidirectional curved arch camber and a positive-curvature bidirectional curved arch camber, and the unidirectional curved reticulated shell structure and the positive-curvature bidirectional curved reticulated shell structure are respectively generated through a curved control line of the unidirectional curved arch camber and a curved control line of the positive-curvature bidirectional curved arch camber.
Furthermore, according to the control of the curved arch camber form, the corresponding camber building model can be realized, including the cylindrical surface shape and the spherical surface shape; the cylindrical surface is in a one-way bending arch shape, and the spherical surface is in a positive curvature two-way bending arch shape; in actual engineering, the cylindrical surface shape and the spherical surface shape are easy to realize.
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 surface reticulated shell structure and comprises a structure side line of a cutting surface and a surface edge of an original fourteen-surface body; 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 internal edges of the original fourteen-surface body; 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 spatial curved surface reticulated shell structure formed by stacking and combining the fourteen-surface bodies, the processes of combining, arraying, rotating, cutting, bending and the like of polyhedral units are required; therefore, the size of the tetrakaidecahedron, the spatial rotation axis, the rotation angle, the cutting position, the cutting boundary shape, the bending vector-span ratio and the like are important parameters influencing the geometric constitution of the whole structure, and can be properly changed according to actual requirements, and different building appearance effects and structural optimization designs can be realized.
The utility model has the beneficial effects that: the fourteen-surface-body-stacked combined spatial curved surface latticed shell structure is a novel spatial structure, has the advantages of repeated array effect, few node connecting rod pieces, few rod piece specifications, large shock resistance and ductility, attractive appearance and the like compared with the traditional spatial grid structure and latticed shell structure, can be applied to large-span spatial curved surface building modeling roofs and wall steel structures in exhibition halls, gymnasiums and the like, and has a wide prospect.
Drawings
Fig. 1 is a schematic structural diagram of an embodiment of a fourteen-surface stacked and combined spatial curved surface reticulated shell structure of the present invention (fig. 1 a-1 b are a schematic structural diagram of a unidirectional curved surface reticulated shell structure and a schematic structural diagram of a positive curvature bidirectional curved surface reticulated shell structure, respectively);
fig. 2 is a top plan view of an embodiment of the spatial curved reticulated shell structure of the present invention, i.e., a sectional view a-a in fig. 1 (fig. 2 a-2 b are a top plan view of a unidirectional curved reticulated shell structure and a top plan view of a positive curvature bidirectional curved reticulated shell structure, respectively);
FIG. 3 is a sectional front view of the embodiment of the spatial curved surface reticulated shell structure of the present invention, namely, a sectional schematic view B-B in FIG. 1 (FIGS. 3 a-3B are respectively a sectional front view of a unidirectional curved surface reticulated shell structure and a sectional front view of a positive curvature bidirectional curved surface reticulated shell structure);
FIG. 4 is a right side view of the cross section of the spatial curved surface reticulated shell structure embodiment of the present invention, i.e., a schematic view of C-C cross section in FIG. 1 (FIGS. 4 a-4 b are respectively a right side view of the cross section of the unidirectional curved surface reticulated shell structure and a right side view of the cross section of the positive curvature bidirectional curved surface reticulated shell structure);
FIGS. 5 a-5 d are schematic views of a tetradecahedron, a tetradecahedron basic unit, an orthogonal array assembly, and an array assembly rotator, 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-surface reticulated shell structure (fig. 8 a-8 d are respectively a schematic one-way curved-arch arrangement diagram, a schematic positive-curvature two-way curved-arch arrangement diagram, a schematic one-way curved-surface reticulated shell structure diagram, and a schematic positive-curvature two-way curved-surface reticulated shell structure diagram).
Description of reference numerals: 1-tetradecahedron; 2-tetradecahedron base unit; 3-a plane orthogonal reference axis; 4-plane skew 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 tetradecahedron; 15-curved control line of unidirectional bending arch; 16-a curved surface control line with positive curvature and bidirectional bending and arching; 18-unidirectional curved surface reticulated shell structure; 19-a positive curvature bidirectional curved surface reticulated shell structure; 21-surface chord; 22-inner web member; 23-inner edge of original tetradecahedron; 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 fourteen-surface stacked and combined spatial curved surface reticulated shell structure, as shown in fig. 1 a-1 b, 5 a-5 d, and 7 c-7 d. A tetrakaidecahedron (fig. 5a) is a polyhedron composed of 8 regular hexagons and 6 regular quadrilaterals; the basic unit (figure 5b) of the tetrakaidecahedron is formed by butt joint of 2 tetrakaidecahedrons along the 45-degree oblique crossing direction of a plane; the orthogonal array assembly (fig. 5c) is generated by array replication of the tetradecahedron 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 a-1 b) is generated by arching and curving of a planar 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 one-way bending arching and positive curvature two-way bending arching on a plane boundary cutting structure.
As shown in fig. 1 a-1 b, fig. 2 a-2 b, fig. 3 a-3 b, and fig. 4 a-4 b, the curved surface reticulated shell structure is composed of a structure side line 13 of a cutting surface, a surface edge 14 of an original tetradecahedron, and an inner edge 23 of the original tetradecahedron, and is a rigid-connection space beam system structure.
As shown in fig. 1 a-1 b and fig. 5 a-5 d, the tetrakaidecahedron 1 is composed of 8 regular hexagons and 6 regular tetragons, and only has 1 edge length and 1 type of crossing nodes, the number of connecting rods of each node is 3, the number of connecting rods of the node is small, and the structure is simple; the tetrakaidecahedron basic unit 2 is composed of 2 tetrakaidecahedrons 1 and is formed by butt joint along a plane oblique direction 4 which forms an angle of 45 degrees with a plane orthogonal reference axis 3.
As shown in fig. 1 a-1 b, 5 a-5 d, the tetradecahedron 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 tetradecahedron basic 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 a-1 b and fig. 7 a-7 d, the array combined rotator 6 is a polyhedron stacking body filled with dense space, and a plate-shell-shaped structure meeting building modeling and structural rigidity can be obtained by cutting through building boundaries, and is used as a building roof or a building wall surface with 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 of the span-wise curved surface boundary 9 is determined according to the building boundary shape, and generally has a cylindrical surface shape or a spherical surface shape. In this embodiment, the curved surface shape of the span-wise curved surface boundary 9 is a cylindrical surface shape, and the generated curved surface boundary cutting structure 12 is a cylindrical surface reticulated shell structure, which is most easily realized in actual engineering.
As shown in fig. 7a to 7d, the cutting of the span-wise plane boundary 8 and the span-wise curved surface boundary 9 is generally performed by a three-dimensional model cutting method and a coordinate positioning cutting method.
As shown in fig. 1 a-1 b, 8 a-8 d, the curved reticulated shell structure is generated by arching and curving a planar boundary cutting structure; 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 a-1 b, 7b, and 7d, the array combined rotator 6 is cut by using a boolean operation difference set of the curved building boundary shapes to directly generate a curved reticulated shell structure, that is, a curved boundary cutting structure 12, which belongs to the field of cutting curved surfaces.
As shown in fig. 1 a-1 b and fig. 8 a-8 d, during arching, a curved reticulated shell structure is generated by a curved arching method for a planar boundary cutting structure 11, wherein the curved reticulated shell structure includes a unidirectional curved arch and a positive-curvature bidirectional curved arch, and curved surface bending positioning is performed through a curved surface control line 15 for the unidirectional curved arch and a curved surface control line 16 for the positive-curvature bidirectional curved arch respectively, so as to generate a unidirectional curved reticulated shell structure 18 and a positive-curvature bidirectional curved reticulated shell structure 19. In this embodiment, the unidirectional curved reticulated shell structure 18 and the positive-curvature bidirectional curved reticulated shell structure 19 are respectively a cylindrical reticulated shell structure and a spherical reticulated shell structure.
As shown in fig. 8 a-8 d, according to the control of the curved arch form, the corresponding curved building shape can be realized, including the cylindrical shape and the spherical shape; the cylindrical surface is in a one-way bending arch shape, and the spherical surface is in a positive curvature two-way bending arch shape; in actual engineering, the cylindrical surface shape and the spherical surface shape are easy to realize.
As shown in fig. 1 a-1 b, 2 a-2 b, 3 a-3 b, and 4 a-4 b, the curved reticulated shell structure includes two types of members, namely a surface chord 21 and an internal web 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 side line 13 of a cutting surface and a surface edge 14 of an original fourteen-surface body; 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 fourteen-surface body; 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 a-1 b and 3 a-3 b, the curved reticulated shell structure includes two types of nodes, 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 spatial curved surface reticulated shell structure formed by stacking and combining the fourteen-surface bodies, the processes of combining, arraying, rotating, cutting, bending and the like of polyhedral units are required; therefore, the size of the tetrakaidecahedron, the spatial rotation axis, the rotation angle, the cutting position, the cutting boundary shape, the bending vector-span ratio and the like are important parameters influencing the geometric constitution of the whole structure, and can be properly changed according to actual requirements, and different building appearance effects and structural optimization designs can be realized.
Example two
The objective of example two of the present application was to form a cylindrical reticulated shell structure with a span of 40m x 40m, a thickness of 3.0m, and a sagittal ratio of 1/6, as shown in fig. 1 a. The method comprises the steps of generating a tetradecahedron basic unit 2 by obliquely connecting 2 tetradecahedron 1 by adopting units with the size of 4m (the distance between two surfaces of the tetradecahedron is the unit size), generating an orthogonal array assembly 5 by array replication along the orthogonal direction of three coordinate axes, rotating 60 degrees around a vector axis of space diagonal axes (0, 0, 0) → (1, 1, 1) to form an array assembly rotating body 6, cutting a building space according to a building boundary of 40m × 40m × 3m to obtain a plane boundary cutting structure 11, and finally generating the cylindrical reticulated shell structure according to the cross ratio of 1/6 and unidirectional bending and arching, and belongs to a unidirectional curved reticulated shell structure 18.
EXAMPLE III
The third embodiment of the present application aims to form a spherical reticulated shell structure with a span of 40m x 40m, a thickness of 3.0m and a positive curvature bilateral vector-span ratio of 1/6, as shown in fig. 1 b. The method comprises the steps of generating a tetradecahedron basic unit 2 by obliquely connecting 2 tetradecahedron 1 by adopting a unit with the size of 4m (the distance between two surfaces of the tetradecahedron is the unit size), generating an orthogonal array assembly 5 by array replication along the orthogonal direction of three coordinate axes, rotating by 60 degrees around a vector axis of space diagonal axes (0, 0, 0) → (1, 1, 1) to form an array assembly rotating body 6, cutting a building space according to a building boundary of 40m × 40m × 3m to obtain a plane boundary cutting structure 11, and finally generating the spherical reticulated shell structure according to the positive curvature bidirectional vector span bending arch of 1/6, wherein the spherical reticulated shell structure belongs to a positive curvature bidirectional curved surface reticulated shell structure 19.
Compared with the defects of the prior art, the fourteen-surface-body-stacked combined space curved surface latticed shell structure provided by the utility model is a novel space structure, 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, 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 (5)
1. A fourteen-surface stacked combined spatial curved surface reticulated shell structure is characterized in that: comprises a unidirectional curved surface reticulated shell structure (18) and a positive curvature bidirectional curved surface reticulated shell structure (19); the tetrakaidecahedron (1) is a polyhedron formed by eight regular hexagons and six regular quadrilaterals; the basic unit (2) of the tetrakaidecahedron is formed by butting two tetrakaidecahedrons along the 45-degree oblique crossing direction of a plane; the orthogonal array assembly (5) is generated by array replication of the tetrakaidecahedron 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 generated by arching and curving of the planar boundary cutting structure (11), and the planar boundary cutting structure (11) respectively generates a unidirectional curved surface reticulated shell structure (18) and a positive curvature bidirectional curved surface reticulated shell structure (19) through a unidirectional bending arched curved surface control line (15) and a positive curvature bidirectional bending arched curved surface control line (16); the one-way curved reticulated shell structure (18) is a cylindrical reticulated shell structure and is in a one-way curved zero-Gaussian curvature curved surface shape; the net shell structure (19) with the positive curvature and the bidirectional curved surface is a spherical net shell structure which is in a bidirectional curved shape with the positive Gaussian curvature.
2. The fourteen-surface stacked and combined spatial curved reticulated shell structure of claim 1, wherein: the fourteen-face body comprises an edge length and a cross node type, and the number of connecting rods of each node is three.
3. The fourteen-surface stacked and combined spatial curved reticulated shell structure of claim 1, wherein: 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).
4. The fourteen-surface stacked and combined spatial curved reticulated shell structure of claim 1, wherein: the curved reticulated shell structure comprises a surface chord (21) and an internal web member (22); the surface chord member (21) is positioned on the surface of the curved reticulated shell structure, and the surface chord member (21) comprises a structure side line (13) of a cutting surface and a surface edge (14) of an original tetrakaidecahedron; the internal web member (22) is positioned inside the curved reticulated shell structure, and the internal web member (22) consists of an internal edge (23) of the original fourteen-surface body; the surface chord member is a box-section steel member, and the inner web members are circular tube-section steel members.
5. The fourteen-surface stacked and combined spatial curved reticulated shell structure of claim 1, wherein: 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.
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