基于ESO的约束阻尼板拓扑优化设计研究

Study on topological optimization design of constrained damping plate based on evolutionary structural optimization

基于渐进结构拓扑优化方法(Evolution Structural Optimization,ESO),以阻尼材料用量为约束条件、模态损耗因子最大化为目标函数,研究了约束阻尼板结构的拓扑优化设计问题,推导了灵敏度分析公式,给出了阻尼结构拓扑优化设计方法,得到了在一定阻尼材料用量下约束阻尼板结构的模态损耗因子最大的拓扑构形。该方法对于阻尼结构的优化设计有一定的意义,具有较强的工程实用性。

On the basis of topological Evolutionary Structural Optimization method （ESO） and taking the needed amount of damping material as the constraint condition, and the maximization of loss factor of modality as the target function, the problem of topological optimization design for constraint damping plate structure was studied. The formula of sensitivity analysis was derived; the topological optimization designing method of damping structure was presented, and the topological configuration of maximum modality loss factor of the constraint damping plate structure under certain needed amount of damping material was obtained. This method has certain significance on the optimization design of damping structure, and has comparatively strong practicality in engineering.