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, Volume 6 Issue 9 Previous Issue    Next Issue
Special Issue (Piezoelctricity, Acoustic Waves and Devices Applications)
Dynamic responses of a multilayer piezoelectric hollow cylinder under electric potential excitation
Wang Hui-ming, Chen Yun-min, Ding Hao-jiang
Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2005, 6(9): 933-937.   https://doi.org/10.1631/jzus.2005.A0933
Abstract( 3018 )     PDF(0KB)( 1053 )
The dynamic responses of a multilayer piezoelectric infinite hollow cylinder under electric potential excitation were obtained. The method of superposition was used to divide the solution into two parts, the part satisfying the mechanical boundary conditions and continuity conditions was first obtained by solving a system of linear equations; the other part was obtained by the separation of variables method. The present method is suitable for a multilayer piezoelectric infinite hollow cylinder consisting of arbitrary layers and subjected to arbitrary axisymmetric electric excitation. Dynamic responses of stress and electric potential are finally presented and analyzed.
A variational energy approach for electromechanical analysis of thick piezoelectric beam
LAU C.W.H., LIM C.W., LEUNG A.Y.T.
Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2005, 6(9): 962-966.   https://doi.org/10.1631/jzus.2005.A0962
Abstract( 2775 )     PDF(0KB)( 1122 )
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.
A generalized plane strain theory for transversely isotropic piezoelectric plates
XU Si-peng, WANG Wei
Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2005, 6(9): 967-973.   https://doi.org/10.1631/jzus.2005.A0967
Abstract( 2985 )     PDF(0KB)( 1546 )
Study of generalized plane strain has so far been limited to elasticity. The present is aimed at parallel development of transversely isotropic piezoelasticity. By assuming that the along depth distribution of electric potential is linear, and that commonly used Kane-Mindlin kinematical assumption is valid, two dimensional solution systems were deduced, for which, explicit solutions of the out-of-plane constraint factor, as well as the stress resultant concentration factor around a circular hole in a transversely isotropic piezoelectric plate subjected to remote biaxial tension are obtained. Comparisons of these formulas with their counterparts for elastic case yielded suggestions that whether the piezoelectric effect exacerbates or mitigates the stress resultant concentration greatly depends on material properties, particularly, the piezoelectric coefficients; the effect of plate thickness was extensively investigated.
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