Forced axisymmetric oscillations of circular multilayer bimorph plates

Abstract

A method for calculating circular multilayer bimorph plates is presented and new analytical solutions of axisymmetric dynamic problems of direct and inverse piezoelectric effects are obtained. The cases of hinged and rigid fixing of the outer contour of the structure are considered. To investigate related linear problems, a mathematical apparatus is used in the form of a method of finite integral transformations. The constructed calculated relationships allow us to substantiate the constructive solutions of piezoceramic transducers. Built design ratio allows to prove the constructive solutions of multilayer piezoelectric ceramic transducers, namely, to choose the geometrical dimensions and physical characteristics of the materials used, define the dimensions of a split circular electrode, allowing most effectively to convert the external electrical stimulation into mechanical vibrations at various frequency. In addition, it is possible to perform stress-strain state, the nature of the change of the electric field and frequency range of the axisymmetric vibrations of the considered systems.

Keywords

• bimorph plate
• electroelasticity
• nonstationary loading
• integral transformations