Free and forced vibration analysis of thin-walled cylindrical shells with arbitrary boundaries in steady thermal environment

Abstract

This paper presents a method for predicting the free and forced vibration behavior of open and closed cylindrical shells in the steady-state thermal environment. The vibration characteristics of cylindrical shells in thermal environment are studied by considering the changes of the thermal strain in the cylindrical shell and the material properties caused by temperature rise. Based on Spectral-Geometry Method (SGM), the displacement functions of cylindrical shell are expressed as the improved Fourier series. The potential energy and kinetic energy of the cylindrical shell are obtained based on the first-order shear deformation theory (FSDT). Three sets of linear springs and one set of rotating springs are used to simulate arbitrary boundaries of the cylindrical shell, and the circumferential coupling springs are used to ensure the continuity of circumferential boundaries of the shell. The accuracy of the present method is verified by comparing with results derived by the finite element method (FEM), and a comprehensive parametric analysis was performed.