多工况下结构拓扑优化设计

考虑单元删除和增加对结构应力约束的影响,提出了一种新的多工况下结构的双方向渐进优化方法．首先,基于在结构孔洞或边界周围附加人工材料的思路,建立了结构优化模型和应力灵敏度公式．然后,结合结构应力和应力灵敏度,给出了多工况静力载荷下考虑静应力约束的结构优化准则和算法．开展了结构仿真设计,结果表明给出的方法是正确和有效的,并具有较好的工程应用价值．

TOPOLOGY OPTIMIZATION OF STRUCTURES UNDER MULTIPLE LOADS

The evolutionary structural optimizationmethod has been under continuous development since1992. Recently a bi-direction evolutionary structural op-timization method is developed whereby material can beadded and removed. In order to consider the effects of ele-ment removing or adding on structural stress constraints,in this paper, a new bi-direction evolutionary structuraloptimization method is proposed for structures under mul-tiple loads. First, based on an idea that artificial materialis added around optimal structural cavities and bound-aries, a structural optimization model and a set of stresssensitivity formula are built. Then combining structural stresses and its sensitivities, a set of criteria, for addingand removing finite elements for the topology optimiza-tion problem of structures under multiple loads, is estab-lished, and a kind of new topology optimization proce-dure is obtained. Several simulation examples show thatthe proposed method is valid and effective for structuraltopology optimization.