具损伤压电智能层合板的非线性主动控制和损伤监测

Nonlinear Active Control and Damage Detection of Piezoelectric Smart Laminated Plates With Damage

基于Hamilton原理、高阶剪切变形板理论、von Kármán型几何非线性应变-位移关系以及应变能等效原理,考虑压电层的质量和刚度及复合材料层内的损伤效应,建立了具损伤压电智能层合板的非线性运动方程.采用耦合正、逆压电效应的负速度反馈控制原理,形成闭环控制回路,实现了对压电智能层合板的主动控制和损伤监测.数值计算中,以四边简支面内不可动的层合矩形板为例,讨论了压电层位置对振动控制的影响,以及损伤程度和损伤位置对传感层输出电压的影响,提出一种损伤监测的方法.

Based on Hamilton＇s principle, the higher-order shear deformation plate theory, von Kármán type geometrically nonlinear strain-displacement relations and the strain energy equivalence theory, considering the mass and stiffness of the piezoelectric layers and the damage effect of the composite layers, the nonlinear dynamic equations of the piezoelectric smart laminated plates with damage are derived. A negative velocity feedback control algorithm coupling the direct and converse piezoelectric effects was used to realize the active control and damage detection of the piezoelectric smart laminated plates through a closed control loop. Numerical examples for simply supported rectangular laminated plates with immovable edges were presented. And the influences of locations of the piezoelectric layers on the vibration control were investigated. Also, the effects of the degree and location of the damage on the sensor output voltage were discussed. And a way of damage detection is introduced.