Refined Solution for Dynamic Axisymmetric Electroelasticity Problem for Rigid Bi-morph Plate

The subject matter of the article is a non-stationary axisymmetric goal for a round rigid bi-morph plate consisting of two piezoceramic elements. Mechanical bending vibrations of the structure are caused by the action of its end surfaces of electric potential which is an arbitrary function of the radial coordinate and time. The new closed solution is constructed in the framework of electrodynamics in three-dimensional statement by the consistent use of finite integral Hankel transform of the axial coordinate and generalized transformation (TRC) for the radial variable.The clarification of the constructed solution is to completely satisfy the boundary conditions, compared with previous results on the cylindrical faces of the solid and the bi-morph plate.The calculated ratio allows conducting a qualitative and quantitative analysis of the coherence of electromechanical stress fields in electrical multilayer component in elastic structures. This allows describing the work and picking up all the geometric and physical characteristics of the typical elements of piezoelectric transducers of resonant and nonresonant classes.