TY - GEN
T1 - An analytical framework for Kirchhoff plate-type locally resonant piezoelectric metastructures
AU - Sugino, Christopher
AU - Ruzzene, Massimo
AU - Erturk, Alper
N1 - Publisher Copyright:
© 2019 Copyright SPIE.
PY - 2019
Y1 - 2019
N2 - We present a modeling framework for thin piezoelectric bimorph plates with segmented electrodes acting as electromechanical metastructures (i.e. finite metamaterial structures). Using Hamilton's extended principle and the assumptions of classical plate theory, the governing equations and boundary conditions for the fully coupled electromechanical system are obtained. The surfaces of the piezoelectric material are segmented into opposing pairs of electrodes of arbitrary shape, and each pair of electrodes is shunted to an external circuit. Using modal analysis, we show that for a sufficient number of electrodes distributed across the surface of the plate, the effective dynamic stiffness of the plate is determined by the shunt circuit admittance applied to each pair of electrodes and the system-level electromechanical coupling. This enables the creation of locally resonant bandgaps and broadband damping, among other effects, as discussed in our previous work. Numerical validations are performed using commercially available finite element software (COMSOL Multiphysics).
AB - We present a modeling framework for thin piezoelectric bimorph plates with segmented electrodes acting as electromechanical metastructures (i.e. finite metamaterial structures). Using Hamilton's extended principle and the assumptions of classical plate theory, the governing equations and boundary conditions for the fully coupled electromechanical system are obtained. The surfaces of the piezoelectric material are segmented into opposing pairs of electrodes of arbitrary shape, and each pair of electrodes is shunted to an external circuit. Using modal analysis, we show that for a sufficient number of electrodes distributed across the surface of the plate, the effective dynamic stiffness of the plate is determined by the shunt circuit admittance applied to each pair of electrodes and the system-level electromechanical coupling. This enables the creation of locally resonant bandgaps and broadband damping, among other effects, as discussed in our previous work. Numerical validations are performed using commercially available finite element software (COMSOL Multiphysics).
KW - Metamaterials
KW - locally resonant
KW - metastructures
KW - piezoelectric
UR - http://www.scopus.com/inward/record.url?scp=85069791268&partnerID=8YFLogxK
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U2 - 10.1117/12.2515371
DO - 10.1117/12.2515371
M3 - Conference contribution
AN - SCOPUS:85069791268
T3 - Proceedings of SPIE - The International Society for Optical Engineering
BT - Active and Passive Smart Structures and Integrated Systems XII
A2 - Erturk, Alper
T2 - Active and Passive Smart Structures and Integrated Systems XII 2019
Y2 - 4 March 2019 through 7 March 2019
ER -