Propagation of two-dimensional nonstationary vibrations in an electrically excited piezoceramic prismatic body

Abstract

The paper outlines a numerical method to solve a plane problem for a piezoceramic prismatic body having rectangular cross-section and undergoing mechanically excited nonstationary vibrations. The features of the onset and propagation of vibrations are studied. The dynamic state of bodies with different widths is analyzed. The thickness and transverse displacements versus time are plotted Keywords: prismatic body (plane problem), non-stationary electroelastic vibrations, finite-difference approximationIntroduction. Various devices widely used in some fields of modern engineering employ the effect of coupling of electric field and mechanical strains in piezoceramic bodies. The geometry and dimensions of piezoceramic elements are determined by their purpose and type of loading [3,11]. One of the most popular elements is piezoceramic prismatic bodies of rectangular cross-section. While in service, piezoelectric elements are subjected to arbitrarily varying electric excitation, nonstationary electric loading; therefore, there is a need to study the electromechanical state of a body in nonstationary modes.The stationary harmonic vibrations of piezoelectric bodies are studied in [8,12,16,17]. The one-dimensional nonstationary vibrations of plane and cylindrical piezoelectric bodies are addressed in [1,2,5,6,13]. Numerical approaches to solving two-dimensional problems of electroelasticity are developed in [4,7,10,14,15].Finite-difference approximations in spatial coordinates and several procedures of integration over time are used here to solve a plane problem of electroelasticity for a prismatic piezoceramic body of rectangular cross-section subject to electric excitation and to analyze its nonstationary vibrations for different geometrical and mechanical parameters.