Unjointed axially symmetric dynamical problem of electroelasticity for radially polarized cylinder

The unjointed axially symmetric nonstationary problem of direct piezoelectric effect for non-isotropic piezoceramic radially polarized cylinder at action of its external radial surfaces of the normal stresses being arbitrary functions of axial coordinate and time is regarded. The new closed solution is constructed by the method of expansion in eigen vector-functions in the form of structural algorithm of finite transformations. Received correlations allow to define the natural-vibration frequency, the stress-strain state of the element, and also the potential and intensity of the induced electric field.