低速冲击下压电层合板的非线性动力响应与疲劳损伤寿命分析

Nonlinear Dynamic Response and Fatigue Life for Piezoelectric Laminated Plate with Damage

基于损伤力学,考虑压电效应、几何非线性和损伤演化的影响,建立了集中载荷作用下压电层合板的非线性运动微分方程,考虑撞击物与压电层合板之间的弹性接触效应,确定了层合板所承受的冲击力。对此非线性动力问题,采用有限差分法进行求解,且引入损伤层合板单元模型,采用有限元方法模拟了冲击荷载作用下压电层合板的损伤演化。算例中,讨论了撞击物的冲击速度、压电材料以及损伤对压电层合板非线性动力响应的影响,以及周期冲击荷载下冲击速度和压电材料对压电层合板疲劳损伤寿命的影响。

Considering the effects of piezoelectricity and geometrical nonlinearity,the non-linear dynamic equations of piezoelectric laminated plates are established.Focusing the effect of the contact between the striking object and the piezoelectric laminated plate,the contact force applied to the laminated plate is determined,and solved with finite difference method.The model of laminated plate with damage is introduced and the damage evolution of the plate is simulated,the effects of striking object initial velocity,damage and governing voltages on the nonlinear dynamic response of the plate are discussed and the effects of striking object velocity and governing voltages on the fatigue damage life of the plate under cycle impact loads are investigated.