Method for constructing spherical grid structure

Abstract

The invention discloses a method for constructing a spherical grid structure, which comprises the steps that an icosidodecahedron and a variant of the icosidodecahedron are constructed and combined; new hexagonal planar primitives are established; regular polygon configuration and subdivision are performed on the new hexagonal planar primitives; planar topology expansion primitives are formed; a Hanaor method is replaced by a planar primitive topology expansion and node chord plane angle sum mapping transformation method for performing spherical mapping transformation and constructing a spherical polyhedron structure; and the spherical grid structure is constructed based on the spherical polyhedron. Compared with the current Hanaor geodesic projection method for designing and constructing a spherical polyhedron grid structure, the spherical polyhedron constructed with the method is simplified obviously in hexagon configuration category, the number of node types and the number of rod length categories; relative relationship among nodes, polygonal surfaces and side lengths of the obtained spherical polyhedron grid structure is simpler and fixed; all polygons meet the planar no-distortion condition; and mounting and implementation are further facilitated.

Description

technical field [0001] The invention belongs to the category of civil engineering structure design, and is a novel spherical polyhedron network frame design method established based on topology chord plane angle and theory. Background technique [0002] Spherical grids are generally constructed by the meridian and latitude method of quadrilateral or triangular configuration. The disadvantages are that there are many components and the stability of the quadrilateral structure is poor. At present, the spherical grid structure and grid structure method established by the Israeli scholar Hanaor using the geodesic projection method is widely used. This method is based on the subdivision topology on the spherical surface for grid structure design. Such as Picture 1-1 Shown is a schematic diagram of the rib ring spherical dome grid constructed according to the Hanaor method, Figure 1-2 is a schematic diagram of a hinged reticulated shell constructed by the Hanaor method, Figur...

AI Technical Summary

Problems solved by technology

[0002] Spherical grids are generally constructed by the method of longitude and latitude in quadrilateral or triangular configurations. The disadvantages are that there are many components and the stability of the quadrilateral structure is poor.

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