Analytical solutions of two kinds of piezoelectric actuators under shearing load

Under an external shearing load and an electric potential acting simultaneously, two piezoelectric hollow cylinder actuators, of the expansion and contraction types, are studied. With the Airy stress function method, the analytical solutions of these two kinds of actuators are obtained based on the theory of piezo-elasticity. The solutions are compared with the finite element results of Ansys and a good agreement is found. Inherent properties of these two kinds of piezoelectric cylinder actuators are presented and discussed. This is very helpful for the design of bearing controllers.