Dynamic responses of piezoelectric hollow cylinders in an axial magnetic field

Abstract

This paper presents an analytical solution for the interaction of electric potentials, electric displacements, elastic deformations and mechanical loads, and describes electromagnetoelastic responses and perturbation of the magnetic field vector in a piezoelectric hollow cylinder subjected to sudden mechanical load and electric potential. An interpolation method is applied to solve the Volterra integral equation of the second kind caused by interactions between different physical fields. By means of finite integral transforms, Laplace transforms, and their inverse transforms, the exact expressions for the dynamic responses of stresses, electric displacements, electric potentials and perturbation response of an axial magnetic field vector in the piezoelectric hollow cylinders are obtained. The present method is suitable for piezoelectric hollow cylinders in an axial magnetic field, subjected to arbitrary mechanical loads and electrical potential shocks. Finally, numerical results are carried out and discussed.