The analysis of static deflections of an infinite beam resting on a non-linear and discontinuous foundation is not trivial. We apply a recently proposed iterative non-linear procedure to the analysis. Mathematical models of the elastic foundation are incorporated into the governing non-linear fourth-order differential equation of the system and then the differential equation is transformed into an equivalent non-linear integral equation using Green's functions. Numerical solutions of the integral equation clearly demonstrate herein that our non-linear iterative numerical method is simple and straightforward for approximate solutions of the static deflection of an infinite beam on a non-linear elastic foundation. Iterative numerical solutions converge fast to corresponding analytic solutions. However, numerical errors are observed in a narrow neighbourhood of material discontinuities of foundations.


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    Title :

    Numerical investigation of non-linear deflections of an infinite beam on non-linear and discontinuous elastic foundation


    Contributors:
    Baek, Hyoungsu (author) / Park, Jinsoo (author) / Jang, T.S. (author) / Sung, H.G. (author) / Paik, Jeom Kee (author)

    Published in:

    Publication date :

    2020-01-02


    Size :

    10 pages




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English







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