Active/passive reduction of vibration of periodic one-dimensional structures using piezoelectric actuators

This paper develops an integrated model of periodic 1D structures with piezoelectric actuators for complete active/passive control. The approach utilizes the property of periodic structural elements that create stop and pass band regions in the frequency spectra, predominantly in the higher frequency range. This basic property of periodic structures is enhanced by the application of periodically placed piezoelectric actuators, with piezo-forces as a function of displacement. Using collocated feedback control, the piezoelectric actuators can introduce the proper force to reduce wave propagation, both in the high and low frequency ranges. An analytical model is developed to predict the performance of the periodic rods and beams with piezoelectric actuators acting as controllers. For the purpose of this research, only geometric periodicity is considered and every cell is assumed to be identical.