Piezoelectric Smart Cantilever Beam Passive And Active Vibration Control

The piezoelectric materials have been widely used in the field of structural vibration control as a new type of smart materials because of their excellent mechanical-electrical coupling characteristics. Much research work on active vibration control has been performed. However, the study on optimization of collocation and size of piezoelectric sensor and actuator is an ongoing research issue. In the field of passive vibration control with piezoelectric shunt damping system, there are some research results reported on international journals in recent years and progresses have been made by researchers in other countries, but such work has not been conducted in China yet.In this thesis, the application of piezoelectric shunt damping technique to passive vibration control of a cantilever beam has been investigated theoretically and experimentally. Furthermore, active vibration control of a cantilever beam with piezoelectric actuator has also been studied emphasized with the optimization of collocation and size of piezoelectric actuators.The research work of this thesis consists of six chapters:In chapter one, the mechanical and electrical characteristics of piezoelectric materials and their engineering applications are described.In chapter two, the direct and inverse piezoelectric effect of piezoelectric ceramic are studied, and the piezoelectric equation of piezoelectric ceramic is deduced.In chapter three, the passive vibration control of a smart cantilever beam with piezoelectric shunt damping system is studied theoretically. In this chapter, the mechanical impedance of piezoelectric shunt damping system is analyzed, and the parameters of the RLC piezoelectric shunt circuit are optimized via transfer function of the piezoelectric shunt damped beam in order to optimize the vibration damping effect.In chapter four, two distinct experiments, the control of free vibration and the control of steady vibration, are carried out to explore the feasibility and effectiveness of passive vibration control with piezoelectric shunt damping system.In chapter five, the active vibration control with piezoelectric actuator is investigated using optimal control strategy and the optimization of collocation and size of piezoelectric actuators is also studied. Their feasibility and effectiveness are verified by simulations.In chapter six, the research work of this thesis is summarized, and future work on passive/active vibration control with piezoelectric materials is proposed.The research work of this thesis is supported by the National Natural Science Foundation of China (No.50375122).