ISOGEOMETRIC ANALYSIS METHOD EMPLOYING GEOMETRIC RECONSTRUCTION MODEL

摘要

An isogeometric analysis method employing a geometric reconstruction model, comprising steps of: generating a closed rule embedding domain, by means of dividing a boundary of a CAD model into triangular patches or directly according to point cloud data, and dividing the embedding domain into regular sub-domains; classifying, according to positional relationships between a triangular patch boundary/point and a unit, the unit as a clipped unit or non-clipped unit; calculating a minimum directed distance of each vertex of the clipped unit to a triangular patch near to the clipped unit; classifying, by means of the directed distance, the non-clipped unit as a real unit or a virtual unit; using the minimum directed distance as a level set function value, and reconstructing, by means of a marching tetrahedra algorithm and on the basis of the rule embedding domain, a display geometric model; and calculating, after the level set function value is obtained, a level set function value of a Gauss point in a unit. The method is directly applicable to analyzing a complex model having any geometric shape, and is also applicable to analyzing point cloud models obtained from reverse engineering and voxel models obtained from image data.