Spatial rigid frame combined by regular polyhedrons

Abstract

The invention discloses a spatial rigid frame combined by regular polyhedrons comprising a truncated octahedron, a cuboctahedron and a truncated tetrahedron. A square surface of the cuboctahedron fits to a square surface of the truncated octahedron; a regular hexagonal surface of the truncated octahedron fits to a regular hexagonal surface of the truncated tetrahedron; a regular triangular surface of the truncated octahedron fits to a regular triangular surface of the cuboctahedron; and a basic unit is formed by fitting the truncated octahedron, the cuboctahedron and the truncated tetrahedron to each other. An array is formed by the basic unit along three orthogonal directions. An array rotating body is formed by rotating a spatial array around any spatial axis by any angle, thereby cutting out a building space based on boundary ridges of a building. A spatial rod system structure is formed concurrently by the finally formed ridges and the ridges of the truncated octahedron, the ridges of the cuboctahedron, and the ridges of the truncated tetrahedron. The spatial rigid frame combined by the regular polyhedrons is strong in anti-seismic property, high in repeatability, small in building difficulty, substantially short in both the working hour and the construction period, accordingly the spatial rigid frame combined by the regular polyhedrons can be applied to spatial structure buildings of small and medium spans.

Description

technical field [0001] The invention belongs to the technical field of structural engineering, and in particular relates to a space rigid frame composed of regular polyhedrons. Background technique [0002] At present, there are very few space rigid frame structures based on space-filling polyhedrons. The one that has been successfully applied to practical engineering is the National Swimming Center "Water Cube", which pioneered a polyhedron space rigid frame structure based on the bubble theory, consisting of dodecahedron and decahedron. Tetrahedrons combine into basic units to form bulky polyhedral stacks of Weaire-Phelan polyhedrons. It has a complex structure, with 4 types of pole lengths and 3 types of nodes. It is difficult to build, time-consuming, and has a long construction period. It is suitable for super-long-span space structure buildings. [0003] The structure of the Weaire-Phelan polyhedral space rigid frame is complex, requiring 4 types of rod lengths and 3 ...

AI Technical Summary

Problems solved by technology

It has a complex structure, with 4 kinds of pole lengths and 3 kinds of joints. It is difficult to build, time-consuming, and has a long construction period. It is suitable for super-large-span space structure buildings.

[0003] The structure of the Weaire-Phelan polyhedral space rigid frame is complex, requiring 4 types of rod lengths and 3 types of nodes, which is difficult to construct, labor-intensive, and has a long construction period. Luxurious and wasteful”

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