Deformations and Stresses of an Exponentially Graded Magneto-Electro-Elastic Non-Uniform Thickness Annular Plate Which Rotates with Variable Angular Speed

Abstract

In this paper, mechanical behavior of an exponentially graded magneto-electro-elastic (EGMEE) rotating annular plate with non-uniform thickness placed in a magnetic field is investigated. Owing to variable angular speed, the Lorentz force exists in both radial and circumferential directions. The thickness of the annular plate as well as material properties are assumed to alter through the radius as an exponential function. Employing the separation of variable method, three coupled governing partial differential equations are converted to ordinary differential equations. Next, the equations are solved employing Runge–Kutta and shooting methods. Finally, the effects of angular speed variation, thickness variation, inhomogeneity index and magnetic field are disclosed. The results demonstrate that considering angular acceleration for the annular plate has a considerable effect on the Lorentz force resulting from the magnetic field.