This paper presents the analytical approach to investigate the nonlinear forced vibration and dynamic buckling of the variable thickness functionally graded cylindrical shells subjected to mechanical load. The nonlinear motion equations of FGM cylindrical shell with variable thickness based on classical shell theory and von Kármán geometric nonlinearity are derived. The Galerkin method and the fourth-order Runge–Kutta method are applied to solve the governing equations of dynamic system. The effects of material (coefficient k) and geometric parameters on the nonlinear forced vibration and dynamic buckling behavior of the FG shell with variable thickness are examined in detail.

本文提出了一种分析方法，用于研究承受机械载荷的可变厚度功能梯度圆柱壳的非线性强迫振动和动态屈曲。推导了基于经典壳理论和vonKármán几何非线性的FGM变厚度圆柱壳非线性运动方程。运用Galerkin方法和四阶Runge-Kutta方法求解动力系统的控制方程。详细研究了材料（系数k）和几何参数对厚度可变的FG壳体的非线性强迫振动和动态屈曲行为的影响。