Exact solution for finite deformation problems of cantilever beam with variable section under the action of arbitrary transverse loads |
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Authors: | Ye Zhiming Yeh Kaiyuan |
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Affiliation: | (1) Department of Mechanics, Lanzhou University, Lanzhou, China;(2) Present address: Department of Civil Engineering, Shanghai University of Technology, 200072 Shanghai, China |
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Abstract: | This paper deals with finite deformation problems of cantilever beam with variable section under the action of arbitrary transverse loads. By the use of a method of variable replacement, the nonlinear differential equation with varied coefficient for the problem can be transformed into an equation with variable separable. The exact solution can be obtained by the integration method. Some examples are given in the paper, and the results of these examples show that this exact solution includes the existing solutions in references as special cases. Projects Supported by the Science Foundation of the Chinese Academy of Sciences. |
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Keywords: | cantilever beam with variable section finite deformation exact solution variable replacement method |
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