This article proposes a semianalytical approach for the nonlinear free and forced asymmetric vibration of corrugated sandwich functionally graded cylindrical shells containing fluid under harmonic radial load. The corrugation is considered with two types: trapezoidal corrugation and round corrugation. By using the Donnell shell theory, taking into account the geometrical nonlinearity of von Kármán and an equivalent model for corrugated structures, the governing equations of shell are established. The nonlinear motion equations are reduced to nonlinear differential equation in terms of time by applying the Galerkin procedure. The numerical investigations for the nonlinear dynamic response of cylindrical shells are obtained by using the fourth-order Runge–Kutta method. Numerical results show the very large effects of corrugation and fluid on the natural frequency and nonlinear vibration behavior of shells.

本文提出了一种半解析方法，用于在径向载荷作用下，含流体的波纹夹心功能梯度圆柱壳的非线性自由和强迫不对称振动。考虑波纹有两种类型：梯形波纹和圆形波纹。利用Donnell壳理论，考虑vonKármán的几何非线性和波纹结构的等效模型，建立了壳的控制方程。通过应用Galerkin程序，非线性运动方程在时间上被简化为非线性微分方程。使用四阶Runge–Kutta方法获得了圆柱壳非线性动力响应的数值研究。