本文研究了切向均布随从力作用下简支FGM矩形板的非线性振动问题。按照材料组份体积分数的简单幂率分布规律，FGM板的材料常数仅沿厚度连续变化。由大挠度的von Karman理论建立了以应力函数和挠度函数表示的运动偏微分方程组，再由Galerkin法转化成非线性常微分方程。对随从力作用下的四边简支陶瓷/金属矩形板，讨论了随从力、梯度指标和边长比对板的动力特性的影响，得到了各种条件下板中心振幅与非线性基频的关系。

nonlinear vibration of simply supported FGM rectangular plates subjected to uniformly distributed tangential follower forces is presented in this paper. The material properties of a FGM plate were graded continuously in the direction of thickness, according to a simply power-low distribution of the volume fraction of the constituents. The governing nonlinear partial differential equations which expressed by stress function and deflection function are obtained using the von Karman theory. Then the nonlinear partial differential equations are transformed into ordinary nonlinear differential equation using Galerkin method. For simply supported ceramic/metal FGM plates under the action of uniformly distributed tangential follower forces, the effect of follower force, gradient index and aspect ratio on the dynamic behavior of the plates is discussed. The relation between central amplitude and nonlinear fundamental frequency for different parameter are derived.