Nonlinear vibration of full-filled fluid corrugated sandwich functionally graded cylindrical shells

SAGE Publications - 2021
Thi Phuong Nguyen1, T. Nguyen-Thoi1, Duy Kien Tran2, Duc Tuan Ho2, Vũ Hoài Nam2
1Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Vietnam;
2Faculty of Civil Engineering, University of Transport Technology, Vietnam

Tóm tắt

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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