Effect of Convection, Internal Heat Source, and Solar Radiation on the Stress Analysis of a Rotating Functionally Graded Smart Disk

Abstract

In this study, stresses and deformations of a rotating functionally graded magneto-electro-elastic (FGMEE) disk with non-uniform thickness considering internal heat generation, convection, and radiation heat transfer were investigated. The power-law function of the radial coordinate was considered for the properties of the material. Also, the heat conduction and convection coefficients are functions of temperature and radius. The heat transfer equation was derived considering thermal gradient, convection thermal boundary, heat source, and solar radiation. The differential transformation method (DTM) was used for solving the obtained nonlinear differential equation of heat transfer. Then, the equilibrium equation of the disk was derived and solved analytically. So, the radial stress, hoop stress, radial deformation, electric and magnetic potential, electric displacement, and magnetic induction can be obtained. Finally, some numerical examples were presented to examine the effects of the heat source, convection heat transfer, temperature dependency, solar radiation, inhomogeneity index, and angular velocity on the stress, deformation, electric displacement, and magnetic induction of the disk. The results show the tensile radial stress, deformation, electric displacement, and magnetic induction decrease for higher values of source power and solar flux intensity, while changes for the higher values of convection coefficient and thermal conductivity are opposite. Also, using a non-uniform thickness disk with an outer thickness smaller than the inner thickness can reduce the displacement and electromagnetic potentials.