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Proceedings Paper

An analytical framework for Kirchhoff plate-type locally resonant piezoelectric metastructures
Author(s): Christopher Sugino; Massimo Ruzzene; Alper Erturk
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Paper Abstract

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).

Paper Details

Date Published: 21 March 2019
PDF: 6 pages
Proc. SPIE 10967, Active and Passive Smart Structures and Integrated Systems XIII, 1096709 (21 March 2019); doi: 10.1117/12.2515371
Show Author Affiliations
Christopher Sugino, Georgia Institute of Technology (United States)
Massimo Ruzzene, Georgia Institute of Technology (United States)
Alper Erturk, Georgia Institute of Technology (United States)

Published in SPIE Proceedings Vol. 10967:
Active and Passive Smart Structures and Integrated Systems XIII
Alper Erturk, Editor(s)

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