Thermoelastic Analysis of Cylindrical Panels by Hyperbolic Heat Conduction

Abstract

A three-dimensional approach is presented to analyze the thermoelastic behavior of a cylindrical panel subjected to transient heat conduction. First, the hyperbolic heat conduction equations are solved to obtain the temperature (and heat flux) in the spatial and temporal domain using the differential quadrature method (DQM) and Newton-Raphson method, respectively. The obtained temperature distribution is then applied in the three-dimensional thermoelastic equations of the cylindrical panel to obtain displacements and stresses at each time step by solving an eigenvalue problem. Numerical test cases showed that the proposed approach can estimate the temperature and deflection accurately. Although, the accuracy is dependent on the time increment and number of sampling grid points in the spatial and temporal domain of DQM.