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ZJUS-A
Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering)  2005, Vol. 6 Issue (2): 126-131    DOI: 10.1631/jzus.2005.A0126
Civil Engineering     
The analytical solutions for orthotropic cantilever beams (I): Subjected to surface forces
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  This paper first gives the general solution of two-dimensional orthotropic media expressed with two harmonic displacement functions by using the governing equations. Then, based on the general solution in the case of distinct eigenvalues, a series of beam problems, including the problem of cantilever beam under uniform loads, cantilever beam with axial load and bending moment at the free end, cantilever beam under the first, second, third and fourth power of x tangential loads, is solved by the superposition principle and the trial-and-error methods.

Key words： General solution      Orthotropic media      Cantilever beams      Analytical solutions     
Received: 20 September 2004     
CLC:  O343.2  
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JIANG Ai-min
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Cite this article:

JIANG Ai-min, DING Hao-jiang. The analytical solutions for orthotropic cantilever beams (I): Subjected to surface forces. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2005, 6(2): 126-131.

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http://www.zjujournals.com/xueshu/zjus-a/10.1631/jzus.2005.A0126     OR     http://www.zjujournals.com/xueshu/zjus-a/Y2005/V6/I2/126

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