平稳随机激励下约束阻尼结构布局优化设计

Layout Optimization of Constrained Layer Damping Structure under Stationary Random Excitation

针对平稳随机激励下约束阻尼结构布局优化问题,采用虚拟激励法对平稳随机激励下约束阻尼结构振动响应进行分析。以平稳随机激励下约束阻尼结构位移响应均方根值最小化为优化目标,约束阻尼材料体积为约束条件,建立约束阻尼结构的拓扑优化模型。提出复模态叠加法和伴随法相结合的灵敏度分析方法,以提高灵敏度计算效率。采用移动渐近线法(MMA)对建立的拓扑优化模型进行求解。通过算例分析,验证了提出的平稳随机激励下约束阻尼结构布局优化方法的正确性和有效性。

Aimed to solve the problems of optimization design of constrained layer damping(CLD)structures under stationary random excitation,the vibration response of CLD structures under stationary random excitation was analyzed by using pseudo excitation method(PEM).The topology optimization model of CLD structures was established by minimizing the root mean square value of the displacement response of the CLD structures under stationary random excitation and taking the volume of the CLD materials as the constraint condition.To circumvent the computational expensive of the sensitivity analysis,an efficient optimization procedure integrating the complex modal superposition method and the adjoint method was proposed.The topology optimization model was solved by method of moving asymptotes(MMA).The numerical examples demonstrated that the proposed optimization procedure of CLD structures under stationary random excitation was of validity and effectiveness.