伽辽金法
非线性系统
壳体(结构)
振动
运动方程
谐波
机械
固有频率
结构工程
材料科学
物理
经典力学
声学
复合材料
工程类
量子力学
作者
Thi Phuong Nguyen,T. Nguyen-Thoi,Duy Kien Tran,Duc Tuan Ho,Vũ Hoài Nam
标识
DOI:10.1177/1077546320936537
摘要
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.
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