基于移动渐近线展开式的结构位移拓扑优化

Structure topological optimization design with displacement constraints based on the approximation of moving asymptotes

针对仅有位移约束和重量最小的结构拓扑优化问题,结合独立、连续、映射方法思路和移动渐近线方法,建立了一套适合较大设计变量变化范围的位移近似表示式.结合变位移限措施和对偶求解方法,形成了一种基于移动渐近线展开式的位移约束下的结构拓扑优化方法.算例计算结果表明,该方法求解速度较快,能够得到较清晰的最佳结构拓扑.

For the structure topological optimization problem with the objective function being the structure weight and only displacement constraints, incorporating the idea of independent, continuous, mapping and the method of moving asymptotes, a displacement approximation fitting to large design variable change quantity had been developed. Integrating the dual planning method and introducing varying displacement constraint limit measurements, a topological optimization method with the constraints of displacement is proposed. Two typical examples show that the proposed method is of validity and effectiveness.