Non –axis – symmetrical dynamic problem of electro elasticityfor the axially – polarized piezoceramic cylinder.

We consider a non-axis-symmetrical dynamic problem of the direct piezoeffect for anisotropic piezoceramic axially-polarized cylinder when normal stresses being arbitrary functions of the radial and angular coordinates and time act on the end surfaces. A new closed solution is constructed by the method of decomposition in terms of vector-functions in the form of a structural algorithm of finite transformations. The obtained expressions allow us to determine the frequencies of natural non-axis-symmetrical vibrations, the stress-strain state of the element and the parameters of the induced electric field.