基于模态控制的结构/控制一体化优化设计

Integrated Structure and Control Optimization Based on Modal Control

先分析了结构主动控制的模态控制。从结构与控制器一体化优化设计的角度出发 ,提出了以结构的质量和控制能量最小化为优化目标、以基频和结构的动响应为约束的联合优化设计模型。并对该优化设计模型进行了一定的简化处理 ,采用改进的拓扑组方法进行结构的集成拓扑优化设计。数值算例的结果表明 ,结构 /控制一体化优化设计是可行且有效的。

The modal control of active vibration control for structures is analysed firstly. From the viewpoint of integrated structures controls design, the optimal model is composed of the objective function to minimize the structural weight as well as the control energy. The constraints imposed are first natural frequency and the dynamic response constraints at the certain degree of freedom of the structure. Some strategies are used to deal with multi objective function and control design variables so as to simplify the optimal model. A so called improved topology group method is adopted to the integrated optimization. The numerical example shows that the proposed concept of the integrated structural design and vibration suppression is feasible and effective.