Geometric structure reconstruction method of topological optimization result

Abstract

The invention relates to a geometric structure reconstruction method of a topological optimization result. The two-dimensional topological optimization result is a matrix with a logic value of 0 or 1and is visually represented as a binary image, and each matrix unit represents a point on the topological optimization result image. The method comprises the steps: obtaining a boundary matrix unit ofa topological optimization result by utilizing a contour recognition technology, converting points on the boundary matrix unit into boundary points, and storing the boundary points in a rectangular coordinate form; sorting and storing the boundary matrix units according to a clockwise sequence and an anticlockwise sequence by utilizing the chain codes; segmenting the contour boundary of the topological optimization result by using the differential chain code; calculating the sensitivity of the functional response of the boundary points of the edge contour; carrying out the B-spline curve fitting on the screened interpolation points from large to small according to the sensitivity of the boundary points, and carrying out the reconstruction of a geometric structure. The reconstruction modelobtained through the method has a smooth boundary, the machining requirement can be met, and parametric modeling can be achieved.

Description

technical field [0001] The invention relates to the technical fields of automobile research and development and computer simulation, in particular to a geometric structure reconstruction method of topology optimization results. Background technique [0002] Topology optimization is a mathematical method to optimize material distribution in a given area according to given load conditions, constraints and performance indicators. It is a type of structural optimization, in which structural optimization can be divided into Size optimization, shape optimization and topology optimization. Size optimization is to optimize the shape of the structural part or the shape of the hole, such as the shape of the transition chamfer of the boss, etc. The shape optimization is to find a new boss distribution on the existing thin plate to improve the local stiffness , topology optimization (topology optimization) takes the material distribution as the optimization object, through topology opt...

AI Technical Summary

Problems solved by technology

Due to the discreteness of the topology optimization design domain, the boundary of the topology optimization result is jagged and not machinable; and the result of topology optimization is a gray-scale concept map, which cannot be directly converted into a parametric model that can be recognized by the CAD system. Therefore, a geometric reconstruction method is needed to meet the manufacturing requirements of topology optimization results

[0010] Patent CN105528485A discloses a method for automatic contour extraction and path generation from bitmaps, but this method only extracts the contour of the image without accurate parametric expression and error analysis, and has limitations in precision manufacturing and the extraction process requires Manual intervention, not fully automated

[0011] Patent CN201310391023.5 discloses a method for geometric reconstruction of topology optimization results. This method first obtains the surface geometry structure of topology optimization results, then regularizes the contour lines, and finally uses straight lines and arcs to fit the contours to obtain a parametric model, but This method cannot reconstruct topology optimization results with complex geometric features. The reconstruction process does not analyze the functional response error of the reconstructed model, and cannot guarantee the accurate functional response of the reconstructed model.