具损伤压电智能层合板的动力分析

DYNAMIC ANALYSIS OF PIEZOELASTIC LAMINATED PLATES WITH DAMAGE

基于应变能等效原理、高阶剪切变形理论和Hamilton变分原理,考虑复合材料铺设层内的损伤效应,建立了具损伤压电智能层合板的运动控制方程,并运用Galerkin方法进行求解.数值算例中,讨论了损伤效应、厚跨比及压电层厚度与层合板总厚度之比对四边简支压电智能层合板自由振动频率的影响和外部控制电压对其动力响应的影响.

Based on the equivalent strain theory, the high-order shear deformation theory and the Hamilton variation principle, considering the damage effect of the composite laminated layers, the dynamic equations of the piezoelastic laminated plates with damage are derived. Then, an analytical solution is presented by using Galerkin method. In the numerical example, the influences of the damage, the side-to-thickness ratio and the ratio of the thickness of piezoelectric layer to the total thickness of laminated plates on the natural frequencies of the piezoelastic laminated plates with simply-supported condition and that the influences of control voltage on the dynamic responses of the plates are discussed carefully.