Dynamic Axisymmetric Problem of Direct Piezoelectric Effect for A Bimorphic Plate of Stepwise Variable Thickness

The dynamic axisymmetric problem of direct piezoelectric effect for a circular two-layer transducer consisting of a metal substrate and a piezoceramic plate of smaller diameter is considered. The oscillations of the electroelastic system are carried out due to the action of a mechanical load on its front surface, which is an arbitrary function of time and radial coordinate. The presented mathematical model of calculation allows to take into account the connectedness of longitudinal-transverse oscillations of a structure that is asymmetric in height. A new analytical solution was obtained in the framework of the refined theory of Timoshenko by the method of finite integral transformations. The calculated ratios make it possible to choose the geometric dimensions of the bimorphic plate, which most effectively allow to convert the mechanical load into the generated electrical pulse. The considered designs are widely used as touch switches that regulate the operation of valves for various purposes. (paper)