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| Basic equations of electro-mechanical coupling problem in the Hamiltonian system |
| Revised:September 26, 2003 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20054081 |
| KeyWord:electro-mechanical coupling,Hamilton,couple equation,solution of eigenvalue |
| BIAN Wen-feng~ |
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| Abstract: |
| To the piezoelectric material with electro-mechanical property, couple equations of electro-mechanical coupling problem in the Hamiltonian system is derived by using the variational principle with multi-variables, and the general expressions of eigenvalue zero and non-zero eigenvalue in the problem are gotten. Full analysis and calculation are made for an idiographic problem that two-dimension piezoelectric slab is subjected to well-distributed load, and exact solutions of stress and electric displacement are obtained, which are consistent with those obtained by the general theory of elasticity and rather precise. The results indicate that the Hamiltonian system is applicable to the mechanics analysis in piezoelectric materials. |
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