TY - GEN
T1 - Electroelastic bandgap formation in locally resonant metamaterial beams with piezoelectric shunts
T2 - ASME 2016 Conference on Smart Materials, Adaptive Structures and Intelligent Systems, SMASIS 2016
AU - Sugino, Christopher
AU - Leadenham, Stephen
AU - Ruzzene, Massimo
AU - Erturk, Alper
N1 - Publisher Copyright:
Copyright © 2016 by ASME.
PY - 2016
Y1 - 2016
N2 - Metamaterials made from flexible structures with piezoelectric laminates connected to resonant shunt circuits can exhibit vibration attenuation properties similar to those of their purely mechanical locally resonant counterparts. Thus, in analogy to purely mechanical metamaterials, electroelastic metamaterials with piezoelectric resonators can exhibit vibration attenuation bandgaps. To enable the effective design of these locally resonant electroelastic metamaterials, the electromechanical behavior of the piezoelectric patches must be reconciled with the modal behavior of the electroelastic structure. To this end, we develop a novel argument for the formation of bandgaps in bimorph piezoelectric beams, relying on modal analysis and the assumption of infinitely many segmented shunted electrodes (unit cells) on continuous piezoelectric laminates bracketing a substrate. As a case study, the frequency limits of the locally resonant bandgap that forms from resonant shunting is derived, and a design guideline is presented to place the bandgap in a desired frequency range. This method can be easily extended to more general circuit impedances, and can be used to design shunt circuits to obtain a desired frequency response in the main structure.
AB - Metamaterials made from flexible structures with piezoelectric laminates connected to resonant shunt circuits can exhibit vibration attenuation properties similar to those of their purely mechanical locally resonant counterparts. Thus, in analogy to purely mechanical metamaterials, electroelastic metamaterials with piezoelectric resonators can exhibit vibration attenuation bandgaps. To enable the effective design of these locally resonant electroelastic metamaterials, the electromechanical behavior of the piezoelectric patches must be reconciled with the modal behavior of the electroelastic structure. To this end, we develop a novel argument for the formation of bandgaps in bimorph piezoelectric beams, relying on modal analysis and the assumption of infinitely many segmented shunted electrodes (unit cells) on continuous piezoelectric laminates bracketing a substrate. As a case study, the frequency limits of the locally resonant bandgap that forms from resonant shunting is derived, and a design guideline is presented to place the bandgap in a desired frequency range. This method can be easily extended to more general circuit impedances, and can be used to design shunt circuits to obtain a desired frequency response in the main structure.
UR - http://www.scopus.com/inward/record.url?scp=85013977101&partnerID=8YFLogxK
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U2 - 10.1115/SMASIS2016-9282
DO - 10.1115/SMASIS2016-9282
M3 - Conference contribution
AN - SCOPUS:85013977101
T3 - ASME 2016 Conference on Smart Materials, Adaptive Structures and Intelligent Systems, SMASIS 2016
BT - Modeling, Simulation and Control; Bio-Inspired Smart Materials and Systems; Energy Harvesting
Y2 - 28 September 2016 through 30 September 2016
ER -