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ZJUS-A
Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering)  2005, Vol. 6 Issue ( 3): 1-    DOI: 10.1631/jzus.2005.A0155
    
The analytical solutions for orthotropic cantilever beams (II): Solutions for density functionally graded beams
JIANG Ai-min, DING Hao-jiang
Department of Civil Engineering, Zhejiang University, Hangzhou 310027, China; West Branch of Zhejiang University of Technology, Quzhou 324006, 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 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.

Key words： General solution      Functionally graded media      Analytical solutions      Cantilever beams Civil Engineering     
Received: 20 October 2004     
CLC:  O343.2  
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JIANG Ai-min
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JIANG Ai-min, DING Hao-jiang. The analytical solutions for orthotropic cantilever beams (II): Solutions for density functionally graded beams. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2005, 6( 3): 1-.

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http://www.zjujournals.com/xueshu/zjus-a/10.1631/jzus.2005.A0155     OR     http://www.zjujournals.com/xueshu/zjus-a/Y2005/V6/I 3/1

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