Wave propagation in coupled periodic lattices and application to vibration attenuation through a piezoelectric network

Abstract

As described by Brillouin from the 1940's, elastic lattices of point masses can be a suitable representation of continuous structures for the study of wave propagation. By extrapolating the tuned mass damping strategy to lattices of point masses, a multimodal effect is obtained by coupling two structures presenting the same modal characteristics. Consequently, it is theoretically possible to damp vibrations of a mechanical medium thanks to a connection to its discrete electrical equivalent. The coupling between the two structures can be conducted by distributing periodically piezoelectric elements that are linked together with the electrical network. Compared to the more classical independent resonant shunts, this solution stands out from its broadband capabilities and the possibility to design a completely passive system. This concept is numerically and experimentally validated through the study of wave propagation in one-dimensional electromechanical structures.

Mathieu Aucejo

Associate Professor

My research interests include inverse problems, vibration control and vibro-acoustics.