Analysis of a rotating FGMEE circular disk with variable thickness under thermal environment

Abstract

A rotating circular disk with variable thickness under thermal environment is investigated in this paper. The circular disk is made of functionally graded magneto-electro-elastic (FGMEE) material, which is a mixture of piezoelectric (PE) and piezomagnetic (PM) materials, and the material properties are assumed to vary along the radius of the disk exponentially. In order to study the thermo-magneto-electro-elastic behavior of the FGMEE circular disk, equations of heat conduction, electrostatics and magnetostatics are established, and the governing equation expressed by displacement is finally solved utilizing a semi-analytical method. Numerical results separately show the effect of material properties, material components, geometric shapes and rotating speeds on the thermo-magneto-electro-elastic behaviors of the FGMEE circular disk. In the discussions of influences of various parameters to the results, material property parameters are the temperature change index and functionally graded index, material component parameter is the volume fraction of PE material, and geometric parameters are the inner-outer thickness ratio, thickness change index and inner-outer radius ratio. Results in this study may be useful for the optimal design of rotating FGMEE circular disks with variable thickness.