功能梯度板的振动功率流特性分析

摘要

According to the basic dynamic equation of FGM rectangular plates,the transverse vibration response under harmonic excitation force was obtained based on the modal superposition method.Combined with the structural vibration power flow equation,power flow analysis of the FGM rectangular plate was carried out.In the numerical example,the natural frequency of an FGM rectangular plate was firstly calculated,the theoretical solution was then compared with the FEMsolution,which shows a good agreement.The input power flow of an FGMrectangular plate was analyzed,and the effect of different gradient indexes on the input power flows was discussed.And the propagation characteristics of the power flow in an FGM plate was analyzed through the visualization method.The FGM plate was described by the power flow vector and flow chart.%根据功能梯度复合材料矩形板的基本动力方程，基于模态叠加法求出简谐激励载荷作用下功能梯度板横向振动位移，结合结构振动功率流方程，研究功能梯度材料矩形板的振动及输入和传播功率流特性。算例中，首先计算功能梯度板固有频率，并与数值解进行对比分析，验证了算法的准确性。然后研究了功能梯度板输入功率流特性，讨论了不同梯度指数对输入功率流特性的影响。并通过可视化方法计算得到了功率流在板中的传播特性，通过功率流矢量图和流线图描述了功能梯度板。