多工况下结构拓扑优化设计

TOPOLOGY OPTIMIZATION OF STRUCTURES UNDER MULTIPLE LOADS

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向效的,并具有较好的工程应用价值。

The evolutionary structural optimization method has been under continuous development since 1992. Recently a bi-direction evolutionary structural op- timization method is developed whereby material can be added 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 structural optimization method is proposed for structures under mul- tiple loads. First, based on an idea that artificial material is added around optimal structural cavities and bound- aries, a structural optimization model and a set of stress sensitivity formula are built. Then combining structural stresses and its sensitivities, a set of criteria, for adding and 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 that the proposed method is valid and effective for structural topology optimization.