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

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/balance. Thus, investigation of the reduction and control of vibration of these structures is significant. In this paper, the coupling and nonlinear flexural - torsional vibration of a rotating beam in the presence of 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 Hamilton’s principle and two ordinary differential equations are derived by the assumed mode method. Besides, a feedback linearization control strategy is proposed for suppressing the vibration of rotating beam. According to the equation of motion, flexural and torsion vibration are coupled together. Therefore, control of flexural mode can result in control whole system.