CN113914471A - Novel large-oblique-square-cut half-cube tensioning integral structure - Google Patents
Novel large-oblique-square-cut half-cube tensioning integral structure Download PDFInfo
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- E—FIXED CONSTRUCTIONS
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- E04B—GENERAL BUILDING CONSTRUCTIONS; WALLS, e.g. PARTITIONS; ROOFS; FLOORS; CEILINGS; INSULATION OR OTHER PROTECTION OF BUILDINGS
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- E04B—GENERAL BUILDING CONSTRUCTIONS; WALLS, e.g. PARTITIONS; ROOFS; FLOORS; CEILINGS; INSULATION OR OTHER PROTECTION OF BUILDINGS
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Abstract
The invention discloses a novel twenty-four-rod large-oblique-square-section semi-cube spherical tensioning integral structure with the surface formed by alternatively splicing a square plane, a regular hexagon plane and a regular octagon plane, and at present, no twenty-four-rod large-oblique-square-section semi-cube spherical tensioning integral structure with the spherical surface formed by alternatively splicing the square plane, the regular hexagon plane and the regular octagon plane exists. The large-oblique-square-section half-cube tensioning integral structure is provided with 48 nodes, is respectively positioned on 48 vertexes of the large-oblique-square-section half cube, and consists of an internal pressure rod and an external inhaul cable, wherein the inhaul cable has five internal force values, and the pressure rod only has one internal force value. All the nodes are hinged nodes, all the inhaul cables have pretension, all the pressure rods have pretension, and the pretension of the inhaul cables and the pretension of the pressure rods are balanced. According to different arrangement forms of the compression bars, the novel large-oblique-square-truncated half cube tensioning whole has three basic structural forms I-III.
Description
Technical Field
The invention relates to the technical field of tensioning integral structure design, in particular to a novel large-oblique-square-truncated semi-cube tensioning integral structure.
Background
The concept of "tension ensemble" was first proposed by the american famous architect fullerene, which refers to the condensation of "tension" (tensile) and "ensemble" (integration). The structure is a prestress self-balancing structure system consisting of a pressure lever bearing axial force and a pull cable. The system has the characteristics of beautiful shape, light weight, reasonable stress, controllable shape, novel form and the like, is one of the development directions of space structures in the future at present, and is the centralized embodiment of high and new technologies such as new structures, new materials, new processes and the like in the field of structural engineering.
In the research field of spherical tension entirety, a system with symmetrical structure and uniform and self-balanced internal force is often desired to be sought. Currently, the tensioning integral structure of 3 compression bars, 4 compression bars, 6 compression bars, 12 compression bars, 14 compression bars and 30 compression bars is seen. So far, a spherical tensioning integral structure with 24 pressure rods, the outer surface of which is a square plane, a regular hexagonal plane and a regular octagonal plane and is connected by inhaul cables, has not been provided.
Disclosure of Invention
The invention aims to overcome the defects of the prior art and provide a novel large-oblique-square-section half-cube tensioning integral structure, and the structure forms a self-balancing spherical tensioning integral structure by presetting the tension-compression property of a member and introducing prestress into the member, so that the problem that the existing spherical tensioning integral structure is not provided with a 24-compression-bar spherical tensioning integral structure of which the outer surface is a square plane, a regular hexagon plane and a regular octagon plane and is connected by inhaul cables is solved.
The embodiment of the invention provides a novel large-oblique-square-truncated semi-cube tensioning integral structure, which comprises the following components:
48 nodes which are respectively positioned on 48 vertexes of the large oblique square truncated half cube in the large oblique square truncated half cube tensioning integral structure;
24 compression bars;
132 inhaul cables and the 24 press rods are intersected at the 48 nodes;
the 132 cables, the 24 compression bars and the 48 nodes are connected together to form a sphere-like polyhedron, and the sphere-like polyhedron is a square plane, a regular hexagon plane and a regular octagon plane prestressed cable net formed by connecting the cables.
In one or more embodiments, all of the pressure rods, the cables and the pressure rods and the cables are not crossed on the members, but are only hinged at the node positions.
In one or more embodiments, the planes of the outer surface of the spheroidal polyhedron are each composed of the ripcords, the outer surface of the spheroidal polyhedron includes 12 square planes, 8 regular hexagonal planes, and 6 regular octagonal planes, and each of the square planes, the regular hexagonal planes, and the regular octagonal planes of the spheroidal polyhedron has only one compositional form.
In one or more embodiments, the four sides of the square in each square plane of the spheroidal polyhedron are made up of 4 of the ripcords, and there are 1 diagonal ripcord;
six sides of a regular hexagon in the regular hexagon plane of the sphere-like polyhedron are composed of 6 guys, wherein 3 vertexes which are not adjacent to each other are connected by the guys to form a regular triangle;
eight sides of the regular octagon in the regular octagon plane of the sphere-like polyhedron are composed of 8 guys, wherein 4 vertexes which are not adjacent to each other are connected by the guys to form a square.
In one or more embodiments, the large rhombus-cut half cube is tensioned to form a whole-I, II type square plane diagonal bracing cable and a regular hexagon plane regular triangle common node; the diagonal stay cable of the large-oblique-square-section half cube tensioning integral-III type square plane and the square top angle of the regular octagonal plane share a node;
after the arrangement of the pressure rods is determined, the large-oblique-square-truncated-half-cube tensioning integral structure can be uniquely determined.
In one or more embodiments, the large-oblique-square-section half-cube tensioning integral structure is designed into different structural forms according to different arrangements of internal compression bars, lengths of the compression bars and prestress compositions of the compression bars and the inhaul cables.
In one or more embodiments, the numerical ratio of the prestress of the stay and the compression bar at each position in the spheroidal polyhedron is Fc1：Fc2：Fc3：Fc4：Fc5：Fc6：Fs＝0.596:0.422:0.298:0.844:0.244:0.551:-1.000；
Wherein, the common cable pretension force value of all adjacent regular hexagonal planes and regular octagonal planes in the sphere-like polyhedron is Fc1(ii) a The common inhaul cable prestress numerical value of all the square planes and the regular octagonal planes in the sphere-like polyhedron is Fc2(ii) a The common inhaul cable prestress numerical value of all the square planes and the regular hexagonal planes in the sphere-like polyhedron is Fc3(ii) a The prestress numerical value of all the diagonal cables of the square planes in the sphere-like polyhedron is Fc4(ii) a The prestress numerical value of the guy cable of which all three vertexes of the sphere-like polyhedron which are not adjacent to each other are connected to form a regular triangle is Fc5(ii) a Four vertexes of all regular octagon planes in the sphere-like polyhedron which are not adjacent to each other are connected to form a square inhaul cable prestress numerical value Fc6，FsPrestressing force is applied to the compression bar;
the length ratio of each inhaul cable to each compression bar is Lc1：Lc2：Lc3：Lc4：Ls＝1:1.414:1.732:1.848:3.353；
Wherein the side lengths of all squares, regular hexagons and regular octagons in the spheroidal polyhedron are Lc1(ii) a The side length of diagonal guy cables of all square planes in the sphere-like polyhedron is Lc2(ii) a The side length of a regular triangle formed by connecting three non-adjacent vertexes of all regular hexagonal planes in the sphere-like polyhedron is Lc3(ii) a Four non-adjacent vertexes of all regular octagon planes in the sphere-like polyhedron are connected to form a square with the side length Lc4The length of the pressing rod in the spheroidal polyhedron is Ls。
In one or more embodiments, each bit in the spheroidal polyhedronThe numerical ratio of the prestress of the stay cable and the pressure lever is Fc1：Fc2：Fc3：Fc4：Fc5：Fc6：Fs＝1.143:0.404:0.572:0.404:0.233:0.373:-1.000；
Wherein, the common cable pretension force value of all adjacent regular hexagonal planes and regular octagonal planes in the sphere-like polyhedron is Fc1(ii) a The common inhaul cable prestress numerical value of all the square planes and the regular octagonal planes in the sphere-like polyhedron is Fc2(ii) a The common inhaul cable prestress numerical value of all the square planes and the regular hexagonal planes in the sphere-like polyhedron is Fc3(ii) a The prestress numerical value of all the diagonal cables of the square planes in the sphere-like polyhedron is Fc4(ii) a The prestress numerical value of the guy cable of which all three vertexes of the sphere-like polyhedron which are not adjacent to each other are connected to form a regular triangle is Fc5(ii) a Four vertexes of all regular octagon planes in the sphere-like polyhedron which are not adjacent to each other are connected to form a square inhaul cable prestress numerical value Fc6，FsPrestressing force is applied to the compression bar;
the length ratio of each inhaul cable to each compression bar is Lc1：Lc2：Lc3：Lc4：Ls＝1:1.414:1.732:1.848:3.499；
Wherein the side lengths of all squares, regular hexagons and regular octagons in the spheroidal polyhedron are Lc1(ii) a The side length of diagonal guy cables of all square planes in the sphere-like polyhedron is Lc2(ii) a The side length of a regular triangle formed by connecting three non-adjacent vertexes of all regular hexagonal planes in the sphere-like polyhedron is Lc3(ii) a Four non-adjacent vertexes of all regular octagon planes in the sphere-like polyhedron are connected to form a square with the side length Lc4The length of the pressing rod in the spheroidal polyhedron is Ls。
In one or more embodiments, the numerical ratio of the prestress of the stay and the compression bar at each position in the spheroidal polyhedron is Fc1：Fc2：Fc3：Fc4：Fc5：Fc6：Fs＝1.082:0.924:0.159:0.541:0.442:0.207:-1.000；
Wherein, the common cable pretension force value of all adjacent regular hexagonal planes and regular octagonal planes in the sphere-like polyhedron is Fc1(ii) a The common inhaul cable prestress numerical value of all the square planes and the regular octagonal planes in the sphere-like polyhedron is Fc2(ii) a The common inhaul cable prestress numerical value of all the square planes and the regular hexagonal planes in the sphere-like polyhedron is Fc3(ii) a The prestress numerical value of all the diagonal cables of the square planes in the sphere-like polyhedron is Fc4(ii) a The prestress numerical value of the guy cable of which all three vertexes of the sphere-like polyhedron which are not adjacent to each other are connected to form a regular triangle is Fc5(ii) a Four vertexes of all regular octagon planes in the sphere-like polyhedron which are not adjacent to each other are connected to form a square inhaul cable prestress numerical value Fc6，FsPrestressing force is applied to the compression bar;
the length ratio of each inhaul cable to each compression bar is Lc1：Lc2：Lc3：Lc4：Ls＝1:1.414:1.732:1.848:3.696；
Wherein the side lengths of all squares, regular hexagons and regular octagons in the spheroidal polyhedron are Lc1(ii) a The side length of diagonal guy cables of all square planes in the sphere-like polyhedron is Lc2(ii) a The side length of a regular triangle formed by connecting three non-adjacent vertexes of all regular hexagonal planes in the sphere-like polyhedron is Lc3(ii) a Four non-adjacent vertexes of all regular octagon planes in the sphere-like polyhedron are connected to form a square with the side length Lc4The length of the pressing rod in the spheroidal polyhedron is Ls。
The novel large-oblique-square-truncated-half-cube tensioning integral structure in the embodiment of the invention provides a brand-new structural form for the field of spherical tensioning integral design, and a self-balancing spherical tensioning integral structure is formed by presetting the tension-compression property of a component and introducing prestress into the component, and the beneficial effects are mainly embodied in the following aspects:
(1) the novel large-oblique-square-section semi-cube tensioning integral structure provided by the invention fills the blank of the traditional regular twenty-four-bar spherical tensioning integral structure, and provides a new structural form for structural design. The structural form has more types of external planes compared with the traditional 3, 6, 12 and 14-rod tension block, has lighter structural mass compared with the traditional 30-rod tension block, and is a structural form with more comprehensive performance.
(2) The length of all square planes, regular hexagonal planes, regular octagonal planes and pressing rods on the whole outer surface of the novel large-oblique-square-section semi-cube tensioning machine is only one, and the structure is favorably processed and manufactured.
(3) A plurality of inhaul cables are arranged on each surface of the novel large-oblique-square-section half-cube tensioning integral structure, so that good support can be provided for structure surface coating, and an internal structure is effectively protected.
(4) The novel large-oblique-square-truncated semi-cube tensioning integral structure is symmetrical and attractive in structure and has good modeling capability.
(5) The novel large-oblique-square-section semi-cube tensioning integral structure solves the problem that a spherical tensioning integral structure with 24 pressure rods, the outer surfaces of which are square planes, regular hexagonal planes and regular octagonal planes and are connected by inhaul cables, does not exist in the conventional spherical tensioning integral structure.
Drawings
The accompanying drawings, which are included to provide a further understanding of the invention and are incorporated in and constitute a part of this specification, illustrate embodiments of the invention and together with the description serve to explain the principles of the invention and not to limit the invention. In the drawings:
in the following drawings, a thick line represents a pressure lever, and a thin line represents a cable;
FIG. 1 is a perspective view of a large rhombus cut-away half cube;
FIG. 2 is a perspective view of a large oblique-square-sectioned half cube tensioned whole-type I;
FIG. 3 is a schematic top projection view of a large oblique-square-section half-cube tensegrity-type I;
FIG. 4 is a schematic view of a type II solid view of a large oblique-square-sectioned half cube tensioned whole;
FIG. 5 is a schematic view of a top projection of a large oblique truncated half cube tensegrity type II;
FIG. 6 is a perspective view of a large rhombus cut-off half cube tensioned monolithic-III;
FIG. 7 is a schematic top projection view of a large truncated cube tensegrity-type III;
FIG. 8 is a drawing of a large oblique-square-section half-cube tensioned integral square plane cable projection;
FIG. 9 is a plan cable projection view of a stretched integral regular hexagon of a large oblique square section half cube;
FIG. 10 is a plan cable projection view of a tensioned integral regular octagon with a large oblique square section and a half cube;
FIG. 11 is a schematic view showing a planar development of a large-oblique-square-section semi-cube tensegrity type I and type II parts and distribution of internal forces;
FIG. 12 is a schematic view of a planar development of a large-oblique-square-section half-cube tensegrity-type-III section and the distribution of internal forces.
Detailed Description
For better understanding of the technical solutions of the present application, the following detailed descriptions of the embodiments of the present application are provided with reference to the accompanying drawings.
It should be understood that the embodiments described are only a few embodiments of the present application, and not all embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present application.
The terminology used in the embodiments of the present application is for the purpose of describing particular embodiments only and is not intended to be limiting of the application. As used in the examples of this application and the appended claims, the singular forms "a", "an", and "the" are intended to include the plural forms as well, unless the context clearly indicates otherwise.
As shown in fig. 1 to 7, an embodiment of the present invention provides a novel large-oblique-square-truncated half-cube tensioned monolithic structure, including: 48 nodes, 24 pressure rods and 132 stay cables.
The 48 nodes are respectively positioned on 48 vertexes of a large-oblique-square-cut half cube in a novel large-oblique-square-cut half cube tensioning integral structure;
the 132 cables and 24 hold-down bars intersect at 48 nodes, for example, in one embodiment, the 132 cables and 24 hold-down bars are hingedly fixed at 48 nodes.
The 132 draglines, the 24 compression bars and the 48 nodes are connected together to form a sphere-like polyhedron. Firstly, determining the node coordinates of a sphere, wherein the relative relationship of the node coordinates is consistent with the node coordinates of a large-rhombus truncated half cube in an Archimedes polyhedron. The sphere-like polyhedron is a prestressed cable net with square plane, regular hexagonal plane and regular octagonal plane formed by connecting inhaul cables.
The novel large-oblique-square-truncated-half-cube tensioning integral structure in the embodiment of the invention provides a brand-new structural form for the field of spherical tensioning integral design, and a self-balancing spherical tensioning integral structure is formed by presetting the tension-compression property of a component and introducing prestress into the component, and the beneficial effects are mainly embodied in the following aspects:
(1) the novel large-oblique-square-section semi-cube tensioning integral structure provided by the invention fills the blank of the traditional regular twenty-four-bar spherical tensioning integral structure, and provides a new structural form for structural design. The structural form has more types of external planes compared with the traditional 3, 6, 12 and 14-rod tension block, has lighter structural mass compared with the traditional 30-rod tension block, and is a structural form with more comprehensive performance.
(2) The length of all square planes, regular hexagonal planes, regular octagonal planes and pressing rods on the whole outer surface of the novel large-oblique-square-section semi-cube tensioning machine is only one, and the structure is favorably processed and manufactured.
(3) A plurality of inhaul cables are arranged on each surface of the novel large-oblique-square-section half-cube tensioning integral structure, so that good support can be provided for structure surface coating, and an internal structure is effectively protected.
(4) The novel large-oblique-square-truncated semi-cube tensioning integral structure is symmetrical and attractive in structure and has good modeling capability.
(5) The novel large-oblique-square-section semi-cube tensioning integral structure solves the problem that a spherical tensioning integral structure with 24 pressure rods, the outer surfaces of which are square planes, regular hexagonal planes and regular octagonal planes and are connected by inhaul cables, does not exist in the conventional spherical tensioning integral structure.
In one embodiment, all of the strut-strut, cable-strut and cable-strut are not connected in a structural relationship but are only connected in an articulated manner at node points, as shown in fig. 1-7.
In one embodiment, as shown in fig. 8-12, the planes of the outer surface of the spheroidal polyhedron are each composed of guy wires, the outer surface of the spheroidal polyhedron includes 12 square planes, 8 regular hexagonal planes and 6 regular octagonal planes, and each of the square planes, the regular hexagonal planes and the regular octagonal planes of the spheroidal polyhedron has only one composition.
8-12, in one embodiment, the four sides of the square in each square plane of the spheroidal polyhedron are made up of 4 ripcords, and there are 1 diagonal ripcords;
six sides of a regular hexagon in a regular hexagon plane of the sphere-like polyhedron consist of 6 guys, wherein 3 vertexes which are not adjacent to each other are connected by the guys to form a regular triangle;
eight sides of the regular octagon in the regular octagon plane of the sphere-like polyhedron are composed of 8 guys, wherein 4 vertexes which are not adjacent to each other are connected by the guys to form a square.
8-12, in one embodiment, the novel class of large rhombus truncated half cube tensioned monoliths-common nodes for diagonal cables of type I, type II square planes and regular triangles of regular hexagonal planes; the diagonal guy cable of the novel large-oblique-square-section semi-cube tensioning integral-III type square plane and the square top angle of the regular octagonal plane share a node; when the arrangement of the pressure bars is determined, the novel large-oblique-square-truncated half-cube tensioning integral structure can be uniquely determined.
In one embodiment, as shown in fig. 8-12, a novel large-oblique-square-section half-cube tensioning integral structure is designed into different structural forms according to the arrangement of internal compression bars, the length of the compression bars and the prestress composition of the compression bars and cables.
Fig. 8-12 show the case where the cable has four length values and the strut has only one length value.
In one embodiment, for a large-rhombus-truncated semi-cube tensioning integral structure, type I, the numerical ratio of the prestress of the stay cable and the compression rod at each position in the spheroidal polyhedron is Fc1：Fc2：Fc3：Fc4：Fc5：Fc6：Fs＝0.596:0.422:0.298:0.844:0.244:0.551:-1.000；
Wherein, the common cable pretension force value of all adjacent regular hexagonal planes and regular octagonal planes in the sphere-like polyhedron is Fc1(ii) a The common inhaul cable prestress numerical value of all the square planes and the regular octagonal planes in the sphere-like polyhedron is Fc2(ii) a The common inhaul cable prestress numerical value of all the square planes and the regular hexagonal planes in the sphere-like polyhedron is Fc3(ii) a The prestress value of all the diagonal cables of the square planes in the sphere-like polyhedron is Fc4(ii) a The prestress numerical value of the guy cable of which all three vertexes of the regular hexagonal planes in the sphere-like polyhedron are not adjacent to each other are connected to form a regular triangle is Fc5(ii) a The prestress numerical value of the stay cable is F, wherein four vertexes of all regular octagonal planes in the sphere-like polyhedron which are not adjacent to each other are connected to form a squarec6，FsPrestressing force is applied to the compression bar;
the length ratio of each inhaul cable to each compression bar is Lc1：Lc2：Lc3：Lc4：Ls1:1.414:1.732:1.848: 3.353; for example, in one embodiment, the cables each have a length Lc1＝L、Lc2＝1.414L、Lc3＝1.732L、Lc41.848L and a strut length of Ls＝3.353L。
Wherein the side lengths of all squares, regular hexagons and regular octagons in the spheroidal polyhedron are Lc1(ii) a The side length of diagonal guy cables of all square planes in the sphere-like polyhedron is Lc2(ii) a All regular hexagonal planes in the spheroidal polyhedron are not adjacent to each otherThe side length of the regular triangle formed by connecting the three vertexes is Lc3(ii) a All four non-adjacent vertexes of the regular octagon plane in the sphere-like polyhedron are connected to form a square with the side length Lc4The length of the middle pressure bar of the sphere-like polyhedron is Ls。
In one embodiment, for a large-rhombus-truncated-half-cube tensioning integral structure type II, the numerical ratio of the prestress of the stay cable at each position in the spheroidal polyhedron is Fc1：Fc2：Fc3：Fc4：Fc5：Fc6：Fs＝1.143:0.404:0.572:0.404:0.233:0.373:-1.000；
Wherein, the common cable pretension force value of all adjacent regular hexagonal planes and regular octagonal planes in the sphere-like polyhedron is Fc1(ii) a The common inhaul cable prestress numerical value of all the square planes and the regular octagonal planes in the sphere-like polyhedron is Fc2(ii) a The common inhaul cable prestress numerical value of all the square planes and the regular hexagonal planes in the sphere-like polyhedron is Fc3(ii) a The prestress value of all the diagonal cables of the square planes in the sphere-like polyhedron is Fc4(ii) a The prestress numerical value of the guy cable of which all three vertexes of the regular hexagonal planes in the sphere-like polyhedron are not adjacent to each other are connected to form a regular triangle is Fc5(ii) a The prestress numerical value of the stay cable is F, wherein four vertexes of all regular octagonal planes in the sphere-like polyhedron which are not adjacent to each other are connected to form a squarec6，FsPrestressing force is applied to the compression bar;
the length ratio of each inhaul cable to each compression bar is Lc1：Lc2：Lc3：Lc4：Ls1:1.414:1.732:1.848: 3.499; for example, in one embodiment, the cables each have a length Lc1＝L、Lc2＝1.414L、Lc3＝1.732L、Lc41.848L, the length of the compression bar is Ls＝3.499L。
Wherein the side lengths of all squares, regular hexagons and regular octagons in the spheroidal polyhedron are Lc1(ii) a The side length of diagonal guy cables of all square planes in the sphere-like polyhedron is Lc2(ii) a Three vertexes of all regular hexagon planes in the sphere-like polyhedron which are not adjacent to each otherThe side length of the connected regular triangle is Lc3(ii) a All four non-adjacent vertexes of the regular octagon plane in the sphere-like polyhedron are connected to form a square with the side length Lc4The length of the middle pressure bar of the sphere-like polyhedron is Ls。
In one embodiment, for a large rhombic truncated semi-cubic tension monolithic structure type III, the numerical ratio of the prestress of the stay cable and the compression rod at each position in the spheroidal polyhedron is Fc1：Fc2：Fc3：Fc4：Fc5：Fc6：Fs＝1.082:0.924:0.159:0.541:0.442:0.207:-1.000；
Wherein, the common cable pretension force value of all adjacent regular hexagonal planes and regular octagonal planes in the sphere-like polyhedron is Fc1(ii) a The common inhaul cable prestress numerical value of all the square planes and the regular octagonal planes in the sphere-like polyhedron is Fc2(ii) a The common inhaul cable prestress numerical value of all the square planes and the regular hexagonal planes in the sphere-like polyhedron is Fc3(ii) a The prestress value of all the diagonal cables of the square planes in the sphere-like polyhedron is Fc4(ii) a The prestress numerical value of the guy cable of which all three vertexes of the regular hexagonal planes in the sphere-like polyhedron are not adjacent to each other are connected to form a regular triangle is Fc5(ii) a The prestress numerical value of the stay cable is F, wherein four vertexes of all regular octagonal planes in the sphere-like polyhedron which are not adjacent to each other are connected to form a squarec6，FsPrestressing force is applied to the compression bar;
the length ratio of each inhaul cable to each compression bar is Lc1：Lc2：Lc3：Lc4：Ls1:1.414:1.732:1.848: 3.696; for example, in one embodiment, the cables each have a length Lc1＝L、Lc2＝1.414L、Lc3＝1.732L、Lc41.848L, the length of the compression bar is Ls＝3.696L。
Wherein the side lengths of all squares, regular hexagons and regular octagons in the spheroidal polyhedron are Lc1(ii) a The side length of diagonal guy cables of all square planes in the sphere-like polyhedron is Lc2(ii) a All three vertexes of the sphere-like polyhedron which are not adjacent to each otherThe side length of the formed regular triangle is Lc3(ii) a All four non-adjacent vertexes of the regular octagon plane in the sphere-like polyhedron are connected to form a square with the side length Lc4The length of the middle pressure bar of the sphere-like polyhedron is Ls。
In the above embodiments, the thick line in the drawings represents a pressure lever, and the thin line represents a cable.
For a large-oblique-square-section half-cube tensioning integral structure, prestress is manually applied according to a certain proportion to form the large-oblique-square-section half-cube tensioning integral structure, namely, prepressing force is applied to a pressure rod, and pretensioning force is applied to a pull cable. The inhaul cable has six internal force values, and the pressure lever only has one internal force value.
The blanking length is the length of the member after finishing the process, and the member is in an unstressed state. The blanking length of each component is as follows:
wherein the content of the first and second substances,
the length of the pull cable and the length of the press rod respectively, Ec、AcModulus of elasticity and cross-sectional area, respectively, of the stays、AsThe modulus of elasticity and the cross-sectional area of the compression bar are respectively.
Regarding the assembly of the structure: and (3) assembling the members with processed blanking lengths together through the connection relation of the hinged nodes, applying prestress, and finally obtaining a large-oblique-square-section half-cube tensioning integral structure, wherein the integral structure is in a self-stress balance state.
The above description is only for the purpose of illustrating the preferred embodiments of the one or more embodiments of the present disclosure, and is not intended to limit the scope of the one or more embodiments of the present disclosure, and any modifications, equivalent substitutions, improvements, etc. made within the spirit and principle of the one or more embodiments of the present disclosure should be included in the scope of the one or more embodiments of the present disclosure.
Claims (9)
1. A kind of novel large oblique square cuts half cube stretch-draw overall structure, its characterized in that includes:
48 nodes which are respectively positioned on 48 vertexes of the large oblique square truncated half cube in the large oblique square truncated half cube tensioning integral structure;
24 compression bars;
132 inhaul cables and the 24 press rods are intersected at the 48 nodes;
the 132 cables, the 24 compression bars and the 48 nodes are connected together to form a sphere-like polyhedron, and the sphere-like polyhedron is a square plane, a regular hexagon plane and a regular octagon plane prestressed cable net formed by connecting the cables.
2. The novel large-oblique-square-truncated semi-cube tensioned monolithic structure as claimed in claim 1, wherein: all the pressure rods, the inhaul cables and the pressure rods and the inhaul cables are not intersected on a component but are only hinged and connected at the node position.
3. The novel large-oblique-square-truncated semi-cube tensioned monolithic structure as claimed in claim 1, wherein: the plane of the outer surface of the sphere-like polyhedron consists of the inhaul cable, the outer surface of the sphere-like polyhedron comprises 12 square planes, 8 regular hexagonal planes and 6 regular octagonal planes, and the square planes, the regular hexagonal planes and the regular octagonal planes of the sphere-like polyhedron are all only one type of composition.
4. The novel large-oblique-square-truncated semi-cube tensioned monolithic structure as claimed in claim 1, wherein: four sides of a square in each square plane of the spheroidal polyhedron are composed of 4 guys, and 1 diagonal guy exists;
six sides of a regular hexagon in the regular hexagon plane of the sphere-like polyhedron are composed of 6 guys, wherein 3 vertexes which are not adjacent to each other are connected by the guys to form a regular triangle;
eight sides of the regular octagon in the regular octagon plane of the sphere-like polyhedron are composed of 8 guys, wherein 4 vertexes which are not adjacent to each other are connected by the guys to form a square.
5. The novel large-oblique-square-truncated semi-cube tensioned monolithic structure as claimed in claim 1, wherein: the diagonal cables of the I-type square plane and the II-type square plane of the large-oblique-square-section half cube tensioning whole body and the regular triangle of the regular hexagon plane share a node; the diagonal stay cable of the large-oblique-square-section half cube tensioning integral-III type square plane and the square top angle of the regular octagonal plane share a node;
and after the arrangement of the pressure lever is determined, the large-oblique-square-truncated-half-cube tensioning integral structure can be uniquely determined.
6. A novel large-oblique-square-truncated semi-cube tensioned monolithic structure according to any one of claims 1-5, characterized in that: the large-oblique-square-section half-cube tensioning integral structure is designed into different structural forms according to the arrangement of internal compression bars, the length of the compression bars, the prestress composition of the compression bars and the inhaul cables.
7. The novel large rhombus truncated semi-cube tensioning monolithic structure as claimed in claim 6, wherein: the numerical value ratio of the prestress of the inhaul cable and the pressure rod at each position in the sphere-like polyhedron is Fc1：Fc2：Fc3：Fc4：Fc5：Fc6：Fs＝0.596:0.422:0.298:0.844:0.244:0.551:-1.000；
Wherein, the common cable pretension force value of all adjacent regular hexagonal planes and regular octagonal planes in the sphere-like polyhedron is Fc1(ii) a All square planes and regular octagons in the spheroidal polyhedronThe prestress value of the inhaul cable shared by the shape planes is Fc2(ii) a The common inhaul cable prestress numerical value of all the square planes and the regular hexagonal planes in the sphere-like polyhedron is Fc3(ii) a The prestress numerical value of all the diagonal cables of the square planes in the sphere-like polyhedron is Fc4(ii) a The prestress numerical value of the guy cable of which all three vertexes of the sphere-like polyhedron which are not adjacent to each other are connected to form a regular triangle is Fc5(ii) a Four vertexes of all regular octagon planes in the sphere-like polyhedron which are not adjacent to each other are connected to form a square inhaul cable prestress numerical value Fc6，FsPrestressing force is applied to the compression bar;
the length ratio of each inhaul cable to each compression bar is Lc1：Lc2：Lc3：Lc4：Ls＝1:1.414:1.732:1.848:3.353；
Wherein the side lengths of all squares, regular hexagons and regular octagons in the spheroidal polyhedron are Lc1(ii) a The side length of diagonal guy cables of all square planes in the sphere-like polyhedron is Lc2(ii) a The side length of a regular triangle formed by connecting three non-adjacent vertexes of all regular hexagonal planes in the sphere-like polyhedron is Lc3(ii) a Four non-adjacent vertexes of all regular octagon planes in the sphere-like polyhedron are connected to form a square with the side length Lc4The length of the pressing rod in the spheroidal polyhedron is Ls。
8. The novel large rhombus truncated semi-cube tensioning monolithic structure as claimed in claim 6, wherein: the numerical value ratio of the prestress of the inhaul cable and the pressure rod at each position in the sphere-like polyhedron is Fc1：Fc2：Fc3：Fc4：Fc5：Fc6：Fs＝1.143:0.404:0.572:0.404:0.233:0.373:-1.000；
Wherein, the common cable pretension force value of all adjacent regular hexagonal planes and regular octagonal planes in the sphere-like polyhedron is Fc1(ii) a The common inhaul cable prestress numerical value of all the square planes and the regular octagonal planes in the sphere-like polyhedron is Fc2(ii) a The common inhaul cable prestress numerical value of all the square planes and the regular hexagonal planes in the sphere-like polyhedron is Fc3(ii) a The prestress numerical value of all the diagonal cables of the square planes in the sphere-like polyhedron is Fc4(ii) a The prestress numerical value of the guy cable of which all three vertexes of the sphere-like polyhedron which are not adjacent to each other are connected to form a regular triangle is Fc5(ii) a Four vertexes of all regular octagon planes in the sphere-like polyhedron which are not adjacent to each other are connected to form a square inhaul cable prestress numerical value Fc6，FsPrestressing force is applied to the compression bar;
the length ratio of each inhaul cable to each compression bar is Lc1：Lc2：Lc3：Lc4：Ls＝1:1.414:1.732:1.848:3.499；
Wherein the side lengths of all squares, regular hexagons and regular octagons in the spheroidal polyhedron are Lc1(ii) a The side length of diagonal guy cables of all square planes in the sphere-like polyhedron is Lc2(ii) a The side length of a regular triangle formed by connecting three non-adjacent vertexes of all regular hexagonal planes in the sphere-like polyhedron is Lc3(ii) a Four non-adjacent vertexes of all regular octagon planes in the sphere-like polyhedron are connected to form a square with the side length Lc4The length of the pressing rod in the spheroidal polyhedron is Ls。
9. The novel large rhombus truncated semi-cube tensioning monolithic structure as claimed in claim 6, wherein: the numerical value ratio of the prestress of the inhaul cable and the pressure rod at each position in the sphere-like polyhedron is Fc1：Fc2：Fc3：Fc4：Fc5：Fc6：Fs＝1.082:0.924:0.159:0.541:0.442:0.207:-1.000；
Wherein, the common cable pretension force value of all adjacent regular hexagonal planes and regular octagonal planes in the sphere-like polyhedron is Fc1(ii) a The common inhaul cable prestress numerical value of all the square planes and the regular octagonal planes in the sphere-like polyhedron is Fc2(ii) a All square planes in the spheroidal polyhedronThe prestress value of the stay cable shared with the regular hexagonal plane is Fc3(ii) a The prestress numerical value of all the diagonal cables of the square planes in the sphere-like polyhedron is Fc4(ii) a The prestress numerical value of the guy cable of which all three vertexes of the sphere-like polyhedron which are not adjacent to each other are connected to form a regular triangle is Fc5(ii) a Four vertexes of all regular octagon planes in the sphere-like polyhedron which are not adjacent to each other are connected to form a square inhaul cable prestress numerical value Fc6，FsPrestressing force is applied to the compression bar;
the length ratio of each inhaul cable to each compression bar is Lc1：Lc2：Lc3：Lc4：Ls＝1:1.414:1.732:1.848:3.696；
Wherein the side lengths of all squares, regular hexagons and regular octagons in the spheroidal polyhedron are Lc1(ii) a The side length of diagonal guy cables of all square planes in the sphere-like polyhedron is Lc2(ii) a The side length of a regular triangle formed by connecting three non-adjacent vertexes of all regular hexagonal planes in the sphere-like polyhedron is Lc3(ii) a Four non-adjacent vertexes of all regular octagon planes in the sphere-like polyhedron are connected to form a square with the side length Lc4The length of the pressing rod in the spheroidal polyhedron is Ls。
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