BENDING OF LAMINATED PIEZOELECTRIC CANTILEVER ACTUATOR UNDER CONSTANT VOLTAGE

The laminated piezoelectric cantilever actuators under constant voltage are investigated. Based on partial differential equations for the plane problem of piezoelectric materials, the stress function and electric displacement function are assumed to be undetermined polynomials, which can be acquired through successive integrations. The analytical solutions are then obtained, with the integral constants completely determined from the boundary conditions. Comparisons of the present analytical solutions with beam theory, finite element method and experiments indicate that the analytical solutions are effective and exact, while certain deviation of the beam theory can be found.