Multi-modal vibration reduction by means of shunt damping

This thesis is aimed to vibration attenuation of light weight structure by using piezoelectric transducer shunt to electrical circuit impedance.by placing (or shunting) piezoelectric network across terminals of piezoelectric transducer and then embedding or bonding to the given host structure, it is possible to reduce the vibration induced by external disturbance.so the piezoelectric patch here essentially used to convert vibrational mechanical energy induced to host structure to electrical energy which is then finally dissipated via the electrical impedance connected across the terminal of piezoelectric transducer. In order to get optimal attenuation level (i.e. as much possible of add damping to the given mechanical structure), it is need to get the optimal values of this electrical impedance networks. So in this paper a systematic feedback optimal control problem H2−norm and H∞−norm minimization techniques will presented to find the optimal values of the electrical networks. This minimization techniques is simulated on matlab using genetic algorithm and multi-start global search optimization techniques. Finally the simulation result is validated by