针对简谐力激励下约束阻尼结构的动力学拓扑优化问题,以约束阻尼结构的指定位置的稳态位移响应为优化目标,约束阻尼材料体积为约束,建立约束阻尼结构动力学拓扑优化模型.使用复模态叠加法求解约束阻尼结构的位移响应.分析直接法和伴随法的特点,提出复模态叠加法和伴随法相结合的灵敏度分析方法,有效提高灵敏度计算效率.采用移动渐近线法(MMA)对约束阻尼结构的动力学拓扑优化模型进行求解.通过算例分析,验证了提出的约束阻尼结构的动力学优化算法有效性.%For harmonic force excitation, dynamic topology optimization of constrained layer damping (CLD) structure is studied. Considering the displacement amplitude at the specified location of CLD structure as the optimization objective and the consumption of CLD material as constrained conditions, the topology optimization model of CLD structure is developed. The displacement response of CLD structure is solved by the complex mode superposition method. Through analyzing the characteristics of the direct method and the adjoint method, the combination of the complex mode superposition method and the adjoint method is proposed to improve the efficiency of sensitivity analysis. The topology optimization model is solved by Method of Moving Asymptotes (MMA).The theoretical results show the effectiveness of the proposed optimization method.
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