空间范数在压电柔性结构振动控制中的应用研究  

RESEARCH ON VIBRATION CONTROL OF PIEZOELECTRIC FLEXIBLE STRUCTURES BASED ON SPATIAL NORMS

作　　者：徐亚兰[1] 陈建军[1] 

机构地区：[1]西安电子科技大学机电工程学院,西安710071

出　　处：《工程力学》2013年第10期1-4,13,共5页Engineering Mechanics

基　　金：中央高校基本科研业务费专项资金项目(JY10000904012);国防预研基金项目(51421060505DZ0155)

摘　　要：在空间范数定义的基础上,推导出了结构模态空间范数的计算公式。考虑压电柔性结构振动控制中作动器分布对结构建模与控制性能的影响,利用模态空间范数度量各个模态对结构动力响应的贡献,并对结构进行了模态选择与模型降阶。利用所建立的降阶模型,设计了一个对受外部干扰结构进行振动抑制的动态输出反馈H振动控制器,并与传统的直接截断方法进行了比较。结果表明,模态对系统动力响应的贡献意味着作动器对模态的控制能力,在此基础上设计的结构振动控制器性能明显提高。Using the definition of a spatial norm, the calculation formulas of modal spatial norms for structures are derived. In order to investigate the influence of the location of piezoelectric actuators on modeling dynamic equations and designing controllers for piezoelectric flexible structures, modal spatial norms, which serve as the measure of the contribution of modes to the dynamic response of a system varying with the location of piezoelectric actuators, are used to pick up the modes included in the reduction model. Based on the reduction model and compared with the traditional direct modes-truncation method, a dynamic output feedback H-infinity control law is designed to suppress the vibration due to external disturbances. Simulation results show that the contribution of vibration modes to the dynamic response of a system means the ability of actuators to control vibration modes, based on which the performance of a controller is improved.

关 键 词：柔性结构 振动控制 模态空间范数 压电材料 降阶模型 

分 类 号：TH113[机械工程—机械设计及理论]