Nonlinear vibration control of functionally graded laminated cylindrical shells

An analytical method and a new simplifying model of smart FG (functionally graded) laminated cylindrical shells with thin piezoelectric layers are presented based on Hamilton's principle, Von Kármán nonlinear theory and constant-gain negative velocity feedback approach. The thin piezoelectric layers embedded on inner and outer surfaces of the smart FG laminated cylindrical shell are acted as distributed sensor and actuator, which is used to control nonlinear vibration of the smart FG laminated cylindrical shell. The coupled nonlinear partial differential equations are discretized based on a series expansion of linear modes and a multiterm Galerkin's method. The coupled nonlinear equations of motion are then solved by Runge-Kutta numerical method.