An analytical framework for Kirchhoff plate-type locally resonant piezoelectric metastructures

Christopher Sugino, Massimo Ruzzene, Alper Erturk

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

2 Scopus citations

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).

Original languageEnglish
Title of host publicationActive and Passive Smart Structures and Integrated Systems XII
EditorsAlper Erturk
ISBN (Electronic)9781510625891
DOIs
StatePublished - 2019
EventActive and Passive Smart Structures and Integrated Systems XII 2019 - Denver, United States
Duration: 4 Mar 20197 Mar 2019

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
Volume10967
ISSN (Print)0277-786X
ISSN (Electronic)1996-756X

Conference

ConferenceActive and Passive Smart Structures and Integrated Systems XII 2019
Country/TerritoryUnited States
CityDenver
Period4/03/197/03/19

Keywords

  • Metamaterials
  • locally resonant
  • metastructures
  • piezoelectric

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