| The analytical solutions for orthotropic cantilever beams （Ⅱ）：Solutions for density functionally graded beams |
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| 引用本文： | 江爱民,丁皓江.The analytical solutions for orthotropic cantilever beams （Ⅱ）：Solutions for density functionally graded beams[J].浙江大学学报(A卷英文版),2005,6(3):155-158. |
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| 作者姓名： | 江爱民 丁皓江 |
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| 作者单位： | [1]DepartmentofCivilEngineering,ZhejiangUniversity,Hangzhou310027,China／／WestBranchofZhejiangUniversity,ofTechnology.Quzhou324006,China [2]DepartmentofCivilEngineering,ZhejiangUniversity,Hangzhou310027,China |
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| 摘 要： | In this paper, the specific solutions of orthotropic plane problems with body forces are derived. Then, based on the general solution in the case of distinct eigenvalues and the specific solution for density functionally graded orthotropic media, a series of beam problem, including the problems of cantilever beam with body forces depending only on z or on x coordinate and expressed by z or x polynomial is solved by the principle of superposition and the trial-and-error method.
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| 关 键 词： | 悬梁 桥 支架结构 密度 解决方法 质量力 悬臂 |
The analytical solutions for orthotropic cantilever beams (II): Solutions for density functionally graded beams |
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| Jiang Ai-min,Ding Hao-jiang.The analytical solutions for orthotropic cantilever beams (II): Solutions for density functionally graded beams[J].Journal of Zhejiang University Science,2005,6(3):155-158. |
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| Authors: | Jiang Ai-min Ding Hao-jiang |
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| Institution: | (1) Department of Civil Engineering, Zhejiang University, 310027 Hangzhou, China;(2) West Branch of Zhejiang University of Technology, 324006 Quzhou, China |
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| Abstract: | In this paper, the specific solutions of orthotropic plane problems with body forces are derived. Then, based on the general
solution in the case of distinct eigenvalues and the specific solution for density functionally graded orthotropic media,
a series of beam problem, including the problems of cantilever beam with body forces depending only onz or onx coordinate and expressed byz orx polynomial is solved by the principle of superposition and the trial-and-error method.
Project (Nos. 10432030 and 10472102) supported by the National Natural Science Foundation of China |
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| Keywords: | General solution Functionally graded media Analytical solutions Cantilever beams |
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