Investigation on vibration of the functionally graded material–stepped cylindrical shell coupled with annular plate in thermal environment

Abstract

This article is concerned with thermal vibration behaviors of the functionally graded material–stepped cylindrical shell coupled with annular plate, including free vibration, transient response, and steady state response. The stepped cylindrical shell is divided into N s segments at locations of thickness and radius variations, which is coupled with N p annular plates. The boundary and coupling conditions are achieved by introducing the artificial virtual spring technology. Under the framework of FSDT, the displacement function of arbitrary shell segment and annular plate is expanded with Chebyshev polynomials and Fourier series for circumferential direction. Compared with results obtained by the finite element method and the references, a series of numerical examples and validations are presented to verify the convergence and accuracy of the current method. The effects of the relevant parameters containing the geometric parameters, boundary conditions, various loadings, and the thermal environment are investigated in detail.

Advanced Dynamic Thermal Vibration of Thick FGM Cylindrical Shells

“…The numerical results of displacement, temperature and thermal stress were presented in the thick FGM plate. In 2022, Chen et al [3] used the Rayleih-Ritz energy method with the first-order shear deformation theory (FSDT) of displacement models to investigate the vibration of FGM stepped cylindrical shell coupled with annular plate under thermal environment. The temperature-dependent constituent materials SUS304 and Si3N4 were used to study the transient responses of displacements.…”