Study On The Property Of Piezoelectric Shunt Circuit And Its Application To Structural Vibration Control

As a new type of passive vibration control technique, piezoelectric shunt damping system has been widely used in the field of structural vibration control because of its simple structure, less power supply and robustness. As inductive shunt damping system does better in vibration control than such shunt systems as resistive shunt system, capacitive shunt system and switched shunt system, the most researches have addressed the application of this shunt system to passive vibration control. But such work is just underway in China.In this dissertation, the application of three classic piezoelectric shunt damping systems using RL series circuit, RL parallel circuit and RL-C parallel circuit to passive vibration control of a aluminum flexible cantilever beam has been investigated theoretically and experimentally. The main research work in this dissertation includes:1. The circuit parameters are optimized according to pole placement technique to increase exponential time decay rate of the free vibration to suppress the transient free vibration of the cantilever beam. And the circuit parameters are also optimized according to the amplitude of transfer function to suppress the steady response of the beam. Some experiments are carried out to verify the feasibility and effectiveness of passive vibration control with three different piezoelectric shunts damping systems, which are in good agreement with theoretical predictions.2. The layout of the piezoelectric components of piezoelectric shunt damping system is optimized. The objective function and constraints of optimization are formulated. On the basis of two optimization illustrations, the main process of optimization in designing the piezoelectric shunt damping system is given, which lays the groundwork for the design of multiple mode piezoelectric shunt.3. According to the single mode piezoelectric shunt, a type of multiple mode piezoelectric shunt circuit is set up, which uses the anti-resonant circuit to make thedifferent frequency current not interfering with each other. The values of electric components of multiple mode piezoelectric shunt circuit are optimized based on the optimization method of single mode piezoelectric shunt circuit. Then this basic multiple mode piezoelectric shunt circuit is improved to simplify its configuration and enhance its shunting efficiency. At last some vibration control experiments are conducted, vibration control results are obtained by using the basic and improved multiple mode piezoelectric shunt circuits based on theoretical investigation. Both of these piezoelectric shunt circuits work well in controlling the vibration of cantilever beam. And some problems worth further research in the experiments are also proposed.4. Considering that the controllable frequency bandwidth of single mode piezoelectric shunt circuit is limited and the configuration of multiple mode piezoelectric shunt circuit is complex, a new kind of simulated inductor is developed from a negative impedance converter, which has the frequency adaptive feature. The piezoelectric shunt damping system which uses RL series and RL parallel circuits consisting of the new simulated inductor and resistance is used to control the vibration. And the effect of different resistance values on the vibration control is studied.The research work of this dissertation is supported by the National Natural Science Foundation of China (Grand number: 50375122).