压电-弹性层合梁自由振动分析的新方法  

A NEW METHOD FOR FREE VIBRATION ANALYSIS OF PIEZOELECTRIC-ELASTIC LAMINATED BEAMS

作　　者：李阳[1] 石志飞[1] 

机构地区：[1]北京交通大学土木建筑工程学院,北京100044

出　　处：《力学学报》2008年第4期564-571,共8页Chinese Journal of Theoretical and Applied Mechanics

基　　金：国家自然科学基金(50772010)~~

摘　　要：将状态空间法和微分求积法相结合,分析了压电-弹性层合梁的自由振动.通过微分求积把状态方程在每一个节点处离散,进而求得解答.选用不同的节点数目,分析了方法的收敛性.计算结果与相关文献的结果能较好地符合.该方法对于分析压电-弹性层合梁的工程振动问题非常方便.Free vibration of the piezoelectric-elastic laminated beams is studied by combining the state-space method and differential quadrature method. The state equations are dispersed at every sample point by using the differential quadrature technique to obtain the solutions. The convergence of the present method is also studied by choosing different number of sample points. The obtained results are validated to show that the developed method is convenient for vibration analysis of piezoelectric-elastic laminated beams.

关 键 词：压电材料 层合梁 自由振动 状态空间法 微分求积法 

分 类 号：TU313.1[建筑科学—结构工程]