| POLYNOMIAL SOLUTIONS TO PIEZOELECTRIC BEAMS (Ⅰ)——SEVERAL EXACT SOLUTIONS |
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| 引用本文： | 白皓江,江爱民.POLYNOMIAL SOLUTIONS TO PIEZOELECTRIC BEAMS (Ⅰ)——SEVERAL EXACT SOLUTIONS[J].应用数学和力学(英文版),2005,26(9):1107-1114. |
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| 作者姓名： | 白皓江 江爱民 |
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| 作者单位： | Department of Civil Engineering，Zhejiang University，Hangzhou 310027，P.R.China，West Branch of Zhejiang University of Technology，Quzhou 324000，Zhejiang Province，P.R.China |
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| 基金项目： | Project supported by the National Natural Science Foundation of China （No. 10472102） |
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| 摘 要： | IntroductionDue to its excellent piezoelectric properties,composites made of piezoelectric materialsare found widespread applications and attracted more attentions1-10].Because of materialanisotropy and couplingbetween mechanical deformation and electric…
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| 关 键 词： | 压电材料 多项式解 平面力学 谐函数多项式 精确解 |
| 文章编号： | 0253-4827（2005）09-1107-08 |
| 收稿时间： | 2004-02-20 |
| 修稿时间： | 2005-04-19 |
Polynomial solutions to piezoelectric beams (I)—Several exact solutions |
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| Ding Hao-jiang,Jiang Ai-min.Polynomial solutions to piezoelectric beams (I)—Several exact solutions[J].Applied Mathematics and Mechanics(English Edition),2005,26(9):1107-1114. |
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| Authors: | Ding Hao-jiang Jiang Ai-min |
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| Institution: | (1) Department of Civil Engineering, Zhejiang University, 310027 Hangzhou, P.R. China;(2) West Branch of Zhejiang University of Technology, 324000 Quzhou Zhejiang Province, P.R. China |
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| 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 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. |
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| Keywords: | piezoelectric beam plane problem harmonic polynomial exact solution |
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