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CLC number: O326; O343.8; TU411.8

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Received: 2005-03-01

Revision Accepted: 2005-04-20

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Journal of Zhejiang University SCIENCE A 2005 Vol.6 No.9 P.938~944

10.1631/jzus.2005.A0938


Analytical modelling and free vibration analysis of piezoelectric bimorphs


Author(s):  ZHOU Yan-guo, CHEN Yun-min, DING Hao-jiang

Affiliation(s):  Department of Civil Engineering, Zhejiang University, Hangzhou 310027, China

Corresponding email(s):   qzking@zju.edu.cn, cym@civil.zju.edu.cn

Key Words:  Piezoelectric bimorph, Analytical model, Free vibration, Shear correction factor, First-order shear deformation theory


ZHOU Yan-guo, CHEN Yun-min, DING Hao-jiang. Analytical modelling and free vibration analysis of piezoelectric bimorphs[J]. Journal of Zhejiang University Science A, 2005, 6(9): 938~944.

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author="ZHOU Yan-guo, CHEN Yun-min, DING Hao-jiang",
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doi="10.1631/jzus.2005.A0938"
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%T Analytical modelling and free vibration analysis of piezoelectric bimorphs
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%A DING Hao-jiang
%J Journal of Zhejiang University SCIENCE A
%V 6
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%P 938~944
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%D 2005
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2005.A0938

TY - JOUR
T1 - Analytical modelling and free vibration analysis of piezoelectric bimorphs
A1 - ZHOU Yan-guo
A1 - CHEN Yun-min
A1 - DING Hao-jiang
J0 - Journal of Zhejiang University Science A
VL - 6
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SP - 938
EP - 944
%@ 1673-565X
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PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.2005.A0938


Abstract: 
An efficient and accurate analytical model for piezoelectric bimorph based on the improved first-order shear deformation theory (FSDT) is developed in this work. The model combines the equivalent single-layer approach for mechanical displacements and a layerwise-type modelling of the electric potential. Particular attention is devoted to the boundary conditions on the outside faces and to the interface continuity conditions of the bimorphs for the electromechanical variables. shear correction factor (k) is introduced to modify both the shear stress and the electric displacement of each layer. And the detailed mathematical derivations are presented. free vibration problem of simply supported piezoelectric bimorphs with series or parallel arrangement is investigated for the closed circuit condition, and the results for different length-to-thickness ratios are compared with those obtained from the exact 2D solution. Excellent agreements between the present model prediction with k=8/9 and the exact solutions are observed for the resonant frequencies.

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Reference

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