Electroelasticity relations for piezoceramic shells of revolution polarized along the meridional coordinate

Abstract

The wide use of thin piezoceramic plates and shells as the active elements of lowfrequency electromechanical energy convertors raises an important problem -the development of an applied theory of their static and dynamic deformation. Relations have now been obtained and correctly founded for an applied theory of thin piezoceramic plates and shells with polarization over the thickness [2-5]. Analysis of the Kirchhoff--Love hypotheses from the viewpoint of three-dimensional elasticity theory shows that the laws assumed there for the variation in displacement and stress over the thickness coordinate follow from accurate solutions of elasticity-theory problems on the pure extension and flexure of plane elements [8]. Of course, the derivation of simplifying relations for piezoceramic shells rests on the solution of analogous elementary problems of electroelast• In the present work, the behavior of the electroeleastic field in a rectangle of small transverse dimension is investigated for typical cases of mechanical and electrical loads. Relations are obtained for the applied theory of piezoceramic shells of revolution with meridional polarization. It is shown that these relations are in agreement with the laws describing the behavior of electrical and mechanical field variables which are established in solving plane electroelastie city problems for a piezoceramic rectangle.