关键词: 拓扑优化, B样条, 形状优化, 几何引擎, 有限元分析

Abstract: An integration approach was presented to support topology optimization, shape optimization, finite element analysis and Computer Aided Design (CAD). Optimization design models were constructed. By using the geometric reconstruction technique mathematically, sound and error bounded for creating solid models of the topologically optimized structures with smooth geometric boundary. The control point movements of the Bspline curves or surfaces were defined as design variables in shape optimization. Method of velocity field computations was established for the boundary nodes. The design velocity field managed the movement of the structural material points due to design changes. Corresponding algorithm and the computation expression were also proposed. Seeking the quick search direction, the shape became the best by the reasonable velocity distribution. Rationality of the model and the effectiveness of the method were illustrated by an example.

Key words: topology optimization, B-spline, shape optimization, geometric engine, finite element analysis