Grigoryeva L. The Numerical Analysis of Axisymmetric Electroelastic Deformation of the Piezoceramic Cylinders under Dynamic Excitation

In manuscript within the framework of linear electroelasticity theory it is developed based on grid approximations and difference schemes numerical method for solving vibration problem of hollow piezoceramic cylinder under dynamic electric and mechanic excitation. It is built the analytical solution for problem of plane piezoceramic layer excited by nonstationary electric and mechanic loading vibrations by method of characteristics and successive approximations method. There are explored radial vibrations of piezoceramic cylinder and their dependence from geometrical and material constants. It is solved two-dimensional problem of piezoceramic cylinders and prismatic rectangular in section bodies nonstationary vibrations. It is ascertained, that in point of section solution coincides with one-dimensional problem solution until longitudinal displacements appear.