为电流变夹层板设计了半主动的变刚度控制算法，并对其进行了夹层结构的拓扑优化。首先，建立了电流变夹层结构的动力学模型，基于开关控制策略发展了适用于 ER 夹层板的模态控制算法。随后，构造了电流变夹层结构的单阶模态和综合模态的频率变化率为优化目标函数，再采用粒子群优化方法，以这两个函数为目标，对结构进行了拓扑优化，并且得到了一定材料使用率限制下相应的拓扑布置构形。最后，采用变刚度控制的等效阻尼比和多种激励下的时域响应对比两种手段对拓扑优化的结果进行了验证，数值算例证实了该拓扑优化结果以及变刚度控制的有效性。%The semi-active variable stiffness control algorithm for an electrorheological (ER)sandwich plate was designed and the topology optimization was performed for this sandwich structure.Firstly,the dynamic model for the ER sandwich plate was built.The modal control algorithm for this ER plate was developed based on the on-off control strategy.Then,the modal frequency rates for a single mode and multi-mode of the ER sandwith structure,respectively were taken as the optimization objectives,the ER structure was optimized topologically with the particle swarm optimization (PSO)method.The corresponding topological configuration of the ER structure under the contraint of a certain amount of material used were obtained.At last,the equivalent damping ratio of variable stiffness control and the time-domain responses of the ER structure under multi-excitation were adopted to validate the topological optimization results for the ER sandwich plate.Numerical examples showed that the topological optimization results are correct and the variable stiffness control method is effective.
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