摘要：考虑剪切变形和转动惯性的影响，采用一阶剪切变形板理论和小应变的应变－位移关系，利用Hamilton原理推得运动控制方程，并应用特征值方程得到频散方程。给出了波在功能梯度板中传播的频散，相速度和群速度随波数变化的曲线，分析了不同的功能梯度材料指数对波传播的影响规律。

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Abstract：Base on first-order shear deformation theory and the small strain-displacement relations, the effects of shear deformation and the inertia rotation are considered and the governing equations for the wave propagation in the rectangular FGM plate are derived by using of Hamilton principle. The analytic dispersion relation of the FGM plate is obtained by means of the eigenvalue equations. A complete discussion of dispersion of rectangular FGM plates is given. The dispersion curves, the phase velocity curves and group velocity curves of the wave propagation in the FGM plates are plotted respectively. The influence of the parameter of the functionally graded materials on wave propagation is analyzed