Behavior of beam on elastic foundation using element free Galerkin method
2021 ◽
Vol 12
(4)
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pp. 14-22
Keyword(s):
One of mesh free methods, element free Galerkin method, is presented to analyze the finite beam on elastic foundation. The shape functions are constructed by using the moving least square interpolation based on a set of nodes that are arbitrarily distributed in specified domain. Discrete system equations are derived from the variation form of system equations. Numerical examples of finite beam on elastic foundation are given by establishing Matlab code. The results of this paper demonstrate the effectiveness of the proposed method with small errors compared to analytical solutions. Keywords: mesh free method, element free Galerkin method, moving least square, finite beam, elastic foundation.
2004 ◽
Vol 01
(02)
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pp. 345-365
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2015 ◽
Vol 723
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pp. 181-185
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Vol 99
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pp. 77-97
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2015 ◽
Vol 262
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pp. 56-78
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2009 ◽
Vol 06
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pp. 413-424
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Keyword(s):
2017 ◽
Vol 31
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pp. 1813-1824
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Vol 37
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pp. 1212-1238
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