基于模型降阶的压电柔性结构动力响应分析  

THE DYNAMICAL RESPONSE ANALYSIS OF PIEZOELECTRIC FLEXIBLE STRUCTURES BASED ON MODEL REDUCTION

作　　者：张京军[1] 何丽丽[1] 高瑞贞[1] 

机构地区：[1]河北工程大学土木工程系,河北邯郸056038

出　　处：《工程力学》2009年第7期22-27,共6页Engineering Mechanics

基　　金：河北省自然科学基金项目(E2008000731);河北省教育厅科学研究计划项目(2006107)

摘　　要：用ANSYS软件对压电柔性结构建模,并计算其模态圆频率,按基于H2范数的空间模型降阶方法提取所需模态,应用D优化设计准则确定压电元件的最优位置,避免了布置的随机性,有效的减少了传感器/驱动器的个数而不会影响控制效果。最后以压电悬臂梁为例给出了系统的阶跃响应曲线,说明了此方法较常规的模态截断法更具优越性。The paper builds the model of piezoelectric flexible structures and calculates the mode frequencies using ANSYS software, and then, extracts the required modes by the method of model reduction based on the spatial Ha norms of modes. The optimal location of the piezoelectric patch is determined by applying the D-optimal design principle, which avoids the location＇s randomicity as well as reduces the number of sensors/actuators needed to keep the controlling effect. Finally, the paper takes a piezoelectric cantilever beam as an example and calculates the step response curve of the system. The results show that this method generates better predictions than the ordinary modes truncation.

关 键 词：压电柔性结构 模态截断 模型降阶 D优化准则 ANSYS软件 

分 类 号：TU311.3[建筑科学—结构工程]