压电材料在薄板振动抑制中的应用研究  

Study on vibration control of thin plate by using piezoelectric material

作　　者：王小兵[1] 陈建军[2] 刘应华[1] 

机构地区：[1]清华大学航天航空学院,北京100084 [2]西安电子科技大学机电工程学院,陕西西安710071

出　　处：《功能材料》2010年第6期1090-1092,1096,共4页Journal of Functional Materials

基　　金：国家高技术研究发展计划(863计划)资助项目(2006AA04Z402)

摘　　要：对于热机电耦合压电智能薄板结构,鉴于包含了机电耦合、热释电效应和热力耦合的完整系统的阶数往往很高而不利于控制器求解,研究了基于平衡降阶法的H∞振动控制问题。对于直接关系到振动控制能否得以顺利实施的诸多问题,如系统的不可观性、温度的不可控性、降阶后系统状态变量的物理含义、评价信号的构建方法及其权矩阵的选取方法等,细腻地研究了它们对实现控制的影响机理,并在此基础上提出了相应的解决方法或技巧。数值算例表明这些研究工作有益于H∞振动控制的顺利实施。For intelligent laminated plates,a complete piezothermoelasticity system includes electromechanical coupling,pyroelectric effect and thermo-mechanical coupling,its order is very high generally and the solving controller is difficult.Based on the balancing reduction,H∞ vibration control is studied.For some problems directly related to the realization of vibration control,such as the non-observability of system,the uncontrollability of temperature variation,the physical meaning of state variable of reduced system,the construction method of auxiliary signal and the definition of weight matrices,their effect mechanism on control is studied in detail,and the corresponding solutions or techniques are proposed respectively.Numerical example shows that these works are benefit to the realization of H∞ vibration control from the point of mechanics.

关 键 词：压电材料 热机电耦合 有限单元法 平衡降阶法 H∞控制理论 

分 类 号：TH113.1[机械工程—机械设计及理论] TP1[自动化与计算机技术—控制理论与控制工程]