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CSME 2023/08
Volume 44 No.4
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311-319
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Analytic Static Deflection Solutions of Uniform Cantilever Beams Resting on Nonlinear Elastic Rotational and Translational Boundary
Si-Mo Liua, Feng-Gong Lina and Li-Kuo Choua
aFujian Polytechnic of Information Technology, Fujian 350003, China.
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Abstract:
ecomposition method to analysis static deflection of uniform cantilever beams nonlinear elastic boundaries. Based on the Bernoulli-Euler beam theory, the deflection function and the corresponding coefficients of uniform cantilever beam have been determined. The solution method can be successfully applied to solve the problems of beams with nonlinear elastic boundaries. The results are also compared with those obtained by the perturbation method. From these examples introduced for the related nonlinear beam problems, the numerical analysis results show that modified Adomain decomposition method is accurate and efficient.
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Keywords: deflection of beams, modified Adomian decomposition method, nonlinear elastic rotational and translational
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©
2023
CSME , ISSN 0257-9731
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