Meshing method for free-form surface mesh structure

Abstract

The invention discloses a mesh generation method for a freeform surface mesh structure. U and v-direction halving is carried out on a parameter domain of the freeform surface, a rectangular lattice is formed on the surface, unfolding of the surface is equivalent to mapping unfolding of points, a space surface diagonal line corresponding to a parameter domain diagonal line serves as an unfolding baseline, and according to a basic principle that areas before and after unfolding are approximately invariant, the freeform surface is unfolded outwardly step by step from the center; then, the unfolded lattice is fit to form a two-dimensional surface, the two-dimensional surface is divided into six parts at an equal angle from the central point, a line advancing method is adopted for each part to generate a triangular mesh layer by layer, and mesh generation of the two-dimensional surface is realized; and finally, the mesh of the two-dimensional surface is mapped back to the freeform surface to form a space surface mesh according to topological invariance. The method of the invention can be applied to most surfaces, the generated mesh has uniform size and smooth line, aesthetic requirements of architectural aesthetics can be met, effects of force transmission continuity are achieved, programming can be realized, and automatic mesh generation can be quickly realized.

Description

technical field [0001] The invention relates to a grid division method for a space structure, in particular to a grid division method for a free-form surface grid structure. Background technique [0002] With the advancement of computer-aided technology, the improvement of architectural plastic arts and the change of people's aesthetic level, new free space surface structures are increasingly appearing in the public's field of vision. This type of surface structure has better visual expression, But because it is completely free, it cannot be precisely expressed analytically. The traditional member arrangement scheme is not feasible. Therefore, in order to make a reasonable member arrangement for the new free-form surface, it needs to be meshed first. At present, there is no mature and perfect method for generating the mesh of the free-form surface. How to generate The surface grid with uniform size and smooth lines is a hot and difficult point in the field of spatial struct...

AI Technical Summary

Problems solved by technology

[0003] Grid division originated in the 1960s and was initially applied in the field of finite elements. During this process, grid division methods such as wavefront method, Delaunay method, and mapping method were successively proposed and developed. However, in many cases, the existing network The grid generated by the grid division method is an unstructured grid, which cannot meet the requirements of architectural beauty, that is, uniform grid size, smooth rod lines and other aesthetic indicators.

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