Thermal vibration analysis of functionally graded conical-cylindrical coupled shell based on spectro-geometric method

Abstract

In this article, an analytical model is presented for vibration analysis of functionally graded conical–cylindrical coupled shell (FG-CCCS) subjected to thermal environment. In the present model, effective material parameters are temperature-dependent and are varied along the thickness direction. Firstly, artificial spring techniques are utilized to simulate the boundary and coupling conditions. The energy equations of FG-CCCS under thermal environment are derived within the framework of the first-order shear deformation theory (FSDT). Then, an efficient and accurate spectro-geometric method (SGM) and the form of the sum of the products of the circumferential Fourier harmonic function are employed to standardize the displacement admissible functions. On this basis, the governing differential equation for free vibration and transient vibration of FG-CCCS is derived using the Rayleigh–Ritz method. By comparing the present results with some existing data and finite element method (FEM) results, the accuracy and stability of present model are proved. Finally, some parametric studies are carried out to explore the influence of material properties, geometric properties, boundary conditions and thermal conditions on the free vibration and transient vibration characteristics of FG-CCCS.