Dynamics and control of non-linear circular plates with piezoelectric actuators

Linear dynamics and distributed control of piezoelectric laminated continua have been intensively studied in recent years. In this paper, dynamics, electromechanical couplings, and control of piezoelectric laminated circular plates with an initial non-linear large deformation are investigated. It is assumed that the transverse non-linear component is much more prominent than the other two in-plane components-the von Karman type geometrical non-linear deformation. In addition, the piezoelectric layers are uniformly distributed on the top and bottom surfaces of the circular plate. Accordingly, the control effect is introduced via an equivalent control moment on the circumference. Dynamic equations and boundary conditions including elastic and piezoelectric couplings are formulated, and solutions are derived. Control of the plate's non-linear deflections and natural frequencies using high control voltages are studied, and their non-linear effects are evaluated. (C) 1995 Academic Press Limited.