具有动应力和动位移约束的离散变量结构形状优化设计方法

A design method for shape optimization of structures with discrete variables under dynamic stress and displacement constraints

讨论了动应力、动位移约束下离散变量形状优化设计问题。首先用拟静力算法 ,将结构惯性力极值作为静载荷施加到结构上 ,求得结构的动位移和动内力 ,然后将考虑动应力约束和动位移约束的离散变量结构优化设计问题化为静应力和静位移约束的优化问题。在求解过程中 ,将单元内力作了一阶近似 ,并将多约束问题转化为单约束问题 。

In this paper, a method for shape optimization with discrete variables under dynamic stress and displacement constraints is presented. By using the quasi static method, the structure optimization problem under dynamic stress and displacement constraints are converted into one under static stress and displacement constraints. In the procedure of shape optimization, by utilizing structural analysis based on the first order Taylor series expansion with respect to the member forces and Mohr Formula, the nonlinear model are converted into linear one. The comprehensive algorithm for shape optimization of structure with discrete variables is used to obtain optimum solution.