Abstract: Aiming to solve the topology vibration reduction optimization problems of cylindrical shells with constrained damping, a topology vibration reduction model was built based on variable density RAMP interpolation model, with the minimum model loss factor as optimal objective, and MAC factor was introduced to evaluate the step states of the vibration pattern, so as to find the optimal solution of vibration reduction within the design domain of the iterative lightweight constraints. The interpolation model of the objective sensitivity was deduced, the global optimization algorithm was calculated, and the global sensitivity topological variable optimization criterion method of ∞-norm was established to avoid the partial objective sensitivity of non-convex optimization function participating in the local optimal solution and jump of optimization iteration. The topological optimization analysis for constrained damping structures in vibration control of shell components was carried out by programming. The results show that the global optimization algorithm has wide optimization domain, stable and short iteration processes, and it is easy to obtain effective damping effectiveness by laying some damping materials.

Key words: cylindrical shell constraint damping, modal loss factor, rational approximation of material property(RAMP) interpolation model, global sensitivity

摘要： 针对圆柱壳约束阻尼拓扑减振优化问题，基于变密度材料属性合理近似插值模型，构建以模态损耗因子最小为优化目标的拓扑减振模型，引入振型控制因子MAC评价振型的阶跃状态，寻优迭代轻量化约束设计域内的减振优化解。推导目标灵敏度的插值模型，演算全域优化求解算法，建立∞-范数的全域灵敏度拓扑变量优化准则，避免非凸优化函数的部分目标灵敏度参与优化迭代的局部优化解和跳跃。编程实现了壳构件约束阻尼结构的减振优化分析。结果表明：全域优化算法寻优域广，迭代历程稳定时间短、敷设部分阻尼材料易获得有效的减振效果。

关键词: 圆柱壳约束阻尼, 模态损耗因子, 材料属性合理近似插值模型, 全域灵敏度