Polynomial Solutions to Piezoelectric Beams(Ⅰ)——Several Exact Solutions

DING Hao-jiang; JIANG Ai-min

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DING Hao-jiang, JIANG Ai-min. Polynomial Solutions to Piezoelectric Beams(Ⅰ)——Several Exact Solutions[J]. Applied Mathematics and Mechanics, 2005, 26(9): 1009-1015.

Citation:

DING Hao-jiang, JIANG Ai-min. Polynomial Solutions to Piezoelectric Beams(Ⅰ)——Several Exact Solutions[J]. Applied Mathematics and Mechanics, 2005, 26(9): 1009-1015.

Citation:

DING Hao-jiang, JIANG Ai-min. Polynomial Solutions to Piezoelectric Beams(Ⅰ)——Several Exact Solutions[J]. Applied Mathematics and Mechanics, 2005, 26(9): 1009-1015.

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Polynomial Solutions to Piezoelectric Beams(Ⅰ)——Several Exact Solutions

DING Hao-jiang¹,
JIANG Ai-min²

1.
Department of Civil Engineering, Zhejiang University, Hangzhou 310027, P. R. China;

Received Date: 2004-02-20
Rev Recd Date: 2005-04-19
Publish Date: 2005-09-15

Abstract

Abstract

For the orthotropic piezoelectric plane problem,a series of piezoelectric beams is solved and the corresponding exact solutions are obtained with the trial-and-error 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 andidentical 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.
- piezoelectric beam,
- plane problem,
- harmonic polynomial,
- exact solution

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References(11)

References

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