The subject matter of the article is a non-stationary axially symmetric goal for a round rigid bi-morph converter consisting of a metal base and a piezoceramic plate affecting end faces of electric potential which in itself is an arbitrary time and radial coordinate function. The authors apply the method of finite integral transformation (based on the theory of electroelasticity in a three-dimentional model) to develop a new closed solution for the construction with asymmetric layer structure. The achieved ratio design allows to further analyze changing characteristics of electromagnetic field and stress-strain behaviour of the flat bimorph plate.