An Analytical Solution for the Problem of Stresses inMagneto-Piezoelectric Thermoelastic Material under the Influence ofRotation

The present paper deals with the study of the wave propagation in a homogeneous transversely isotropic magneto-thermo-piezoelectric cylindrical material, under the influence of rotation, in the context of the linear theory of thermoelasticity. The displacement, electric potential, magnetic potential, electrostatic displacement, and magnetic induction functions are introduced to uncouple the equations of motion, with boundary conditions. After deriving secular equations in closed form and isolated mathematical conditions, the effect of rotation, phase velocity, attenuation coefficient profiles and relative frequency shift on dispersion curves is studied. The study is very helpful in the development of rotation sensors and other piezoelectric devices. The numerical results of the physical quantities have been illustrated graphically.