指定频带简谐激励下约束阻尼结构拓扑优化

摘要

Considering the square of vibration peak amplitude as an optimization objective,and the consumption of CLD (constrained layer damping)material as a constrained condition,a topology optimization model of constrained layer damping structures was developed to get the optimal configuration of CLD under specified-band harmonic excitations.In the optimization procedure,the sensitivity of modal damping ratio was introduced in the sensitivity formulation,making the sensitivity more accurate and reasonable.The topology optimization model was solved by ESO (evolutionary structural optimization).The optimal topology configurations in some numerical examples were obtained,and the theoretical results were verified by test ones.The results show the effectiveness of the propose doptimization model and sensitivity analysis method.%针对指定频带简谐激励下约束阻尼结构拓扑优化问题，建立以共振峰值平方最小为优化目标，约束阻尼材料用量为约束条件的约束阻尼板拓扑优化模型。优化过程中考虑约束阻尼结构改变对结构阻尼影响较大，将模态阻尼比灵敏度引入优化目标的灵敏度计算中，使优化目标灵敏度计算更准确合理。用渐进优化算法求解拓扑优化模型。给出数值算例，并实验验证优化模型及灵敏度分析方法的有效性。