Electromechanical response analysis of a rotating piezoelectric cylinder with functionally graded material under thermomagnetic fields

In this paper, electromechanical response analysis of a rotating piezoelectric cylinder with functionally graded material under thermomagnetic fields is presented. In this study all mechanical, magnetic, electrical and thermal piezoelectric material properties, were considered to follow an identical power law in the radial direction. Using heat transfer equation in one dimension (1D) with symmetric boundary conditions, the temperature changes in the steady-state can be achieved. According to Maxwell electrodynamics equations, Lorentz magnetic force is obtained due to the presence of an externally applied axial magnetic field. Using the equation of temperature distribution in the cylinder wall thickness under considered boundary conditions and the use of electromechanical relations by acquiring the magnetic force, inhomogeneous differential equation is derived and then solved by analytical method. Also, the ANSYS finite-element software is employed for thermo-piezo-mechanical analysis of a rotating functionally graded piezoelectric cylinder. By providing a numerical example, the effect of various parameters such as the intensity of the magnetic field and temperature and coefficient of heterogeneous material on the stress and strain behavior, electric potential distributions and radial displacement of cylinder is investigated. To validate the results, comparisons are made with the solutions for FGM cylinder available in the literature.