基于位移和应力灵敏度的结构拓扑优化设计

针对仅有应力约束以及含位移和应力约束的重量最小结构拓扑优化问题, 基于ICM(独立、连续、映射)方法和渐进结构优化方法的思路, 提出了一种结构拓扑优化方法. 在优化迭代循环的每一轮子循环迭代求解开始时,通过形成和 引进新的位移和应力约束限, 自动构建设计变量移动限. 将结构应力约束归并为几个最可能的有效应力约束,大大减少了应力灵敏度的分析量. 另外, 建立了单元删除阈值和几轮迭代循环的单元删除策略. 为了确保优化迭代中结构非奇异和方 法具有增添单元的功能,在结构孔洞和边界周围引入了一层人工材料单元, 构建了其等效的优化模型. 结合位移和应力灵敏度分析, 形成了一种新的连续体结构的拓扑优化方法. 给出的算例验证了该方法的正确性和有效性.

STRUCTURAL TOPOLOGICAL OPTIMIZATION BASED ON DISPLACEMENT AND STRESS SENSITIVITY ANALYSES

Stress constrained topology optimization problem has not been paid the same attention as the minimum compliance problem in the literatures.The traditional minimum compliance formulations offer some obvious advantages to avoid dealing with a large number of highly non-linear constraints.This could be considered crucial,if one takes into account the large number of design variables,i.e.inherent to topology optimization.However,one can also argue that this gives rise to several important drawbacks since no con...