压电智能板振动主动控制有限元模拟  

Finite-element simulation of active vibration control of piezoelectric smart plates

作　　者：钱锋[1] 王建国[1] 曲磊[1] 

机构地区：[1]合肥工业大学土木与水利工程学院,安徽合肥230009

出　　处：《合肥工业大学学报（自然科学版）》2011年第2期259-263,308,共6页Journal of Hefei University of Technology：Natural Science

基　　金：国家自然科学基金资助项目(10572046)

摘　　要：文章由线弹性压电层合结构有限元动力方程,进一步推导了压电智能结构的主动控制方程;采用三维八节点实体耦合单元模拟压电致动器/传感器,运用ANSYS参数化语言(APDL)建立了压电智能板结构的有限元模型,并进行模态分析,将系统耦合有限元动力方程转化为模态坐标下的系统状态空间方程;考虑了离散分布式压电致动器/传感器对于主结构特征模态应变/曲率分布的影响,将其布置在与控制目标模态相应的最优位置,实现了以较少的压电致动器/传感器控制结构多模态振动;以四边固支方形弹性板为数值算例对理论分析进行了仿真;比较分析的结论对大型复杂压电智能结构多模态振动主动控制的实践具有一定的参考价值。Active control equations of piezoelectric smart structure are derived from the finite-element dynamic equation of linear elastic piezoelectric laminated structure in this paper.By applying the three-dimensional eight-node coupled element to simulating piezoelectric actuators/sensors,the finite element model of piezoelectric smart plate structure is developed by means of ANSYS/APDL parameter language,and modal analysis is also performed to transform the coupled finite-element dynamic equations into the state space model of the system in the modal coordinates.In view of the effect induced by additional piezoelectric actuators/sensors on the distribution of the host structural characteristics modal strain/curvature,the optimal position corresponding to the control mode is identified.The purpose of multi-modal vibration control is achieved with less piezoelectric actuators/sensors.A numerical sample of clamped plate structure is simulated to verify the theoretical analysis.The results are useful for the application of multi-modal active vibration control of large and complex piezoelectric smart structures.

关 键 词：压电智能结构 主动振动控制 模态分析 有限元仿真 

分 类 号：O343.9[理学—固体力学]