Design of Vibration Suppression System of Passive/Active Hybrid Type using Piezo-Elements

Abstract

The design methodology of a vibration suppression system of the passive/active hybrid type by using piezo-elements as actuators is proposed. The vibration suppression system is optimally designed to minimize the objective function subject to several constraints. These are, side constraints of the design variables, behavioral constraints and the governing equations of the closed loop system. The objective function is defined as the maximum value of the transfer function of the closed loop system. The parameters of the shunting electrical circuit connected to the piezo-elements of the passive system and feedback gains for generating the control voltage applied to piezo-elements in the active component are taken as design variables. In the numerical example, the vibration suppression system for a cantilever beam is designed. Each piezo-element is separately bonded on the beam surface. The results obtained by optimization indicate that the hybrid vibration suppression system is quite effective under the trade-off conditions between vibration suppression performance and control energy consumption.