Vibration control of a rotating cantilever beam using piezoelectric actuator and feedback linearization method

Abstract: The vibration of various structures such as blades of turbines, helicopters, and all kinds of rotating robot arms can damage the structures and disrupt their performance and balance. Thus, investigation of the reduction and control of vibration of these structures is significant. In this paper, the coupled and nonlinear vibration of a rotating beam in the presence of the piezoelectric layer is considered. The Von Karman strain displacements are used for deriving the potential equation. The nonlinear equations of motion are obtained based on the Hamilton principle, and two ordinary differential equations are derived by the Assume Mode method. Besides, a feedback linearization control strategy is proposed for suppressing the vibration of the rotating beam. According to the equation of motion, flexural and torsional vibrations are coupled. Therefore, control of flexural mode can result in control of the whole system.