A New Method of Researching the Equation of Nonlinear Static Simply Supported Beam

Long Yu Yang; Zheng Liang Li

doi:10.4028/www.scientific.net/AMR.261-263.848

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 261-263A New Method of Researching the Equation of...

A New Method of Researching the Equation of Nonlinear Static Simply Supported Beam

Abstract:

In this paper, the nonlinear deflection curve equation of simply supported beam is converted into an algebraic equation based on a new method that combines with the Modified Differential Method and Newton Iteration Method. The conclusion drawn by comparing the analytical solution and numerical results of simply supported beam’s equation with uniform load shows that the method is precise and efficient for solving nonlinear differential equations. We also analyze the case of simply supported beam with variable cross-section and get the same conclusion.

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Periodical:

Advanced Materials Research (Volumes 261-263)

Pages:

848-852

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.261-263.848

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Online since:

May 2011

Authors:

Long Yu Yang, Zheng Liang Li

Keywords:

Beam of Variable Cross-Section, Modified Differential Method, Newton Iteration Method, Nonlinear Differential Equation, Uniform Load Simply Supported Beam

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