A modified first-order plate theory of laminated piezoelectric plate actuators

Piezoelectric actuators with large output and high reliability are widely applied in electron device. In this paper, a modified first-order plate theory of laminated piezoelectric plates with upper and lower electrodes is presented. Then, based on the Mindlin first-order shear deformation theory, a...

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Main Authors: Lian, M.M., Fan, C.Y., Qin, G.S., Lu, Chunsheng, Wang, B.B., Zhao, M.H.
Format: Journal Article
Published: 2024
Online Access:http://hdl.handle.net/20.500.11937/94643
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author Lian, M.M.
Fan, C.Y.
Qin, G.S.
Lu, Chunsheng
Wang, B.B.
Zhao, M.H.
author_facet Lian, M.M.
Fan, C.Y.
Qin, G.S.
Lu, Chunsheng
Wang, B.B.
Zhao, M.H.
author_sort Lian, M.M.
building Curtin Institutional Repository
collection Online Access
description Piezoelectric actuators with large output and high reliability are widely applied in electron device. In this paper, a modified first-order plate theory of laminated piezoelectric plates with upper and lower electrodes is presented. Then, based on the Mindlin first-order shear deformation theory, a quadratic function of electric potential across the thickness is used to describe the inverse piezoelectric effect. The laminated plate governing equations are derived in terms of the resultant force, moment and electric displacement. Further, supplementary equations are introduced through the continuity of electrical potential and the normal electric displacement across interface of each lamina, which are applied to solve the unknown electric functions in each lamina. The numerical results of displacement, deflection and electric potential are consistent with those obtained by the three-dimensional finite element method. Finally, with such a modified plate theory, regulation mechanisms of polarization direction and layer numbers are investigated on actuation properties of laminated piezoelectric actuators. It is shown that the polarization direction can change the driving displacement by an order of magnitude. It is expected that the modified theory can provide a more efficient and accurate approach for analysis of multilayer piezoelectric composite actuators.
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format Journal Article
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institution Curtin University Malaysia
institution_category Local University
last_indexed 2025-11-14T11:42:29Z
publishDate 2024
recordtype eprints
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spelling curtin-20.500.11937-946432024-05-03T03:03:38Z A modified first-order plate theory of laminated piezoelectric plate actuators Lian, M.M. Fan, C.Y. Qin, G.S. Lu, Chunsheng Wang, B.B. Zhao, M.H. Piezoelectric actuators with large output and high reliability are widely applied in electron device. In this paper, a modified first-order plate theory of laminated piezoelectric plates with upper and lower electrodes is presented. Then, based on the Mindlin first-order shear deformation theory, a quadratic function of electric potential across the thickness is used to describe the inverse piezoelectric effect. The laminated plate governing equations are derived in terms of the resultant force, moment and electric displacement. Further, supplementary equations are introduced through the continuity of electrical potential and the normal electric displacement across interface of each lamina, which are applied to solve the unknown electric functions in each lamina. The numerical results of displacement, deflection and electric potential are consistent with those obtained by the three-dimensional finite element method. Finally, with such a modified plate theory, regulation mechanisms of polarization direction and layer numbers are investigated on actuation properties of laminated piezoelectric actuators. It is shown that the polarization direction can change the driving displacement by an order of magnitude. It is expected that the modified theory can provide a more efficient and accurate approach for analysis of multilayer piezoelectric composite actuators. 2024 Journal Article http://hdl.handle.net/20.500.11937/94643 10.1016/j.euromechsol.2023.105209 restricted
spellingShingle Lian, M.M.
Fan, C.Y.
Qin, G.S.
Lu, Chunsheng
Wang, B.B.
Zhao, M.H.
A modified first-order plate theory of laminated piezoelectric plate actuators
title A modified first-order plate theory of laminated piezoelectric plate actuators
title_full A modified first-order plate theory of laminated piezoelectric plate actuators
title_fullStr A modified first-order plate theory of laminated piezoelectric plate actuators
title_full_unstemmed A modified first-order plate theory of laminated piezoelectric plate actuators
title_short A modified first-order plate theory of laminated piezoelectric plate actuators
title_sort modified first-order plate theory of laminated piezoelectric plate actuators
url http://hdl.handle.net/20.500.11937/94643