| POLYNOMIAL SOLUTIONS TO PIEZOELECTRIC BEAMS (Ⅱ)——ANALYTICAL SOLUTIONS TO TYPICAL PROBLEMS |
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| 引用本文： | 丁皓江,江爱民.POLYNOMIAL SOLUTIONS TO PIEZOELECTRIC BEAMS (Ⅱ)——ANALYTICAL SOLUTIONS TO TYPICAL PROBLEMS[J].应用数学和力学(英文版),2005,26(9):1115-1120. |
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| 作者姓名： | 丁皓江 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： | IntroductionThis paper is a continuation of Ref.1],in which a series of orthotropic piezoelectricplane problems was solved and the corresponding exact solutions were obtained with the trial-and-error method,on the basis of the general solution expressed …
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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）09-1115-06 |
| 收稿时间： | 2004-02-20 |
| 修稿时间： | 2005-04-19 |
Polynomial solutions to piezoelectric beams (II)—Analytical solutions to typical problems |
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| Ding Hao-jiang,Jiang Ai-min.Polynomial solutions to piezoelectric beams (II)—Analytical solutions to typical problems[J].Applied Mathematics and Mechanics(English Edition),2005,26(9):1115-1120. |
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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 analytical 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 cantilever beam with cross force and point charge at free end, cantilever beam and simply-supported beam subjected to uniform loads on the upper and lower surfaces, and cantilever beam subjected to linear electrical potential. |
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| Keywords: | piezoelectric beam plane problem harmonic polynomial analytical solution |
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