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CLC number: O343.8; TB39

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Received: 2005-01-17

Revision Accepted: 2005-05-10

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Journal of Zhejiang University SCIENCE A 2005 Vol.6 No.9 P.962~966

http://doi.org/10.1631/jzus.2005.A0962


A variational energy approach for electromechanical analysis of thick piezoelectric beam


Author(s):  LAU C.W.H., LIM C.W., LEUNG A.Y.T.

Affiliation(s):  Department of Building and Construction, City University of Hong Kong, Hong Kong, China; more

Corresponding email(s):   bccwlim@cityu.edu.hk

Key Words:  Energy, Electromechanical, Linear piezoelectricity, Ritz method, Thick beam


LAU C.W.H., LIM C.W., LEUNG A.Y.T.. A variational energy approach for electromechanical analysis of thick piezoelectric beam[J]. Journal of Zhejiang University Science A, 2005, 6(9): 962~966.

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PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.2005.A0962


Abstract: 
A new two dimensional coupled electromechanical model for a thick, laminated beam with piezoelectric and isotropic lamina subjected to static external electric loading is developed. The model combined the first order shear deformation theory for the relatively thick elastic core and linear piezoelectric theory for the piezoelectric lamina. The actuation response is induced through the application of external electric voltage. Rayleigh-ritz method is adopted to model the displacement and potential fields of the beam and governing equations were finally derived from the variational energy principle. The model allows the piezoelectric lamina to be formulated via a two-dimensional model because of the strong electro-mechanical coupling and the presence of a two-dimensional electric field. Numerical examples of piezoelectric laminated beam are presented. It is shown in this paper that a one-dimensional model for the piezoelectric beam-like layer is inadequate.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

Reference

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[4] Lee, C.K., 1990. Theory of laminated piezoelectric plates for the design of distributed sensors/actuators. Part I: Governing equations and reciprocal relationships. J. Acoust. Soc. Am., 87:1144-1158.

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[6] Reddy, J.N., 1984. Energy and Variational Methods in Applied Mechanics: with an Introduction to the Finite Element Method. Wiley Interscience.

[7] Tzou, H.S., 1993. Piezoelectric Shells: Distributed Sensing and Control of Continua. Kluwer Academic, Dordrecht.

[8] Tzou, H.S., Gadre, M., 1989. Theoretical analysis of a multi-layered thin shell coupled with piezoelectric shell actuators for distributed vibration controls. J. Sound Vib., 132:433-450.

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