Polynomial solutions to piezoelectric beams (I)—Several exact solutions

O342; For the orthotropic piezoelectric plane problem, a series of piezoelectric beams is solved and the corresponding exact solutions are obtained with the trial-anderror method on the basis of the general solution in the case of three distinct eigenvalues, in which all displacements, electrical po...

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Bibliographic Details
Published in:Applied mathematics and mechanics 2005-09, Vol.26 (9), p.1107-1114
Main Authors: Hao-jiang, Ding, Ai-min, Jiang
Format: Article
Language:English
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Summary:O342; For the orthotropic piezoelectric plane problem, a series of piezoelectric beams is solved and the corresponding exact solutions are obtained with the trial-anderror method on the basis of the general solution in the case of three distinct eigenvalues, in which all displacements, electrical potential, stresses and electrical displacements are expressed by three displacement functions in terms of harmonic polynomials. These problems are rectangular beams having rigid body displacements and identical electrical potential, rectangular beams under uniform tension and electric displacement as well as pure shearing and pure bending, beams of two free ends subjected to uniform electrical potential on the upper and lower surfaces.
ISSN:0253-4827
1573-2754
DOI:10.1007/BF02507718