The symplectic method of electric and elastic problems

Wenfenga Bian; Baoxian Jia; Biao Wang

doi:10.1117/12.780279

1 November 2007 The symplectic method of electric and elastic problems

Wenfenga Bian, Baoxian Jia, Biao Wang

Proceedings Volume 6423, International Conference on Smart Materials and Nanotechnology in Engineering; 64234J (2007) https://doi.org/10.1117/12.780279
Event: International Conference on Smart Materials and Nanotechnology in Engineering, 2007, Harbin, China

Abstract

By applying the symplectic theory, the polarized axis of the piezoelectric medium is simulated as the time axis of the Hamilton system, and the generalized displacement and stress, including electric induction and electric field, is introduced, which can form the coupling variable. After these steps, complex energy density function about the piezoelectric medium is introduced on the base of energy function, and then the coupling equations of the 3D piezoelectric medium are founded according to the Hamilton variation principle. Separating variables in these coupling equations, the basic equation of dynamics in the piezoelectric medium is derived under the Hamilton system. This investigation can provide a new method, symplectic method, for the dynamic analysis of the piezoelectric medium.

Citation Download Citation

Wenfenga Bian, Baoxian Jia, and Biao Wang "The symplectic method of electric and elastic problems", Proc. SPIE 6423, International Conference on Smart Materials and Nanotechnology in Engineering, 64234J (1 November 2007); https://doi.org/10.1117/12.780279

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