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    Free Vibration Calculations of an Euler-Bernoulli Beam on an Elastic Foundation Using He’s Variational Iteration Method

    New search for: Tazabekova, Alima
    New search for: Adair, Desmond
    New search for: Ibrayev, Askar
    New search for: Kim, Jong

    Abstract Free vibration characteristics for an Euler-Bernoulli beam supported using a simple Winkler linear elastic foundation are calculated. The method of solution is by He’s variational iteration method developed for various boundary (end) conditions. The beam’s natural frequencies and mode shapes are obtained, with rapid convergence noted during the calculations. The calculation method is tested using a clamped-clamped beam. In this paper a robust and efficient algorithm is also given, based on He’s method, which can be easily modified for more complicated elastic foundations.

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    Free Vibration Calculations of an Euler-Bernoulli Beam on an Elastic Foundation Using He’s Variational Iteration Method

    New search for: Tazabekova, Alima
    New search for: Adair, Desmond
    New search for: Ibrayev, Askar
    New search for: Kim, Jong

    Abstract Free vibration characteristics for an Euler-Bernoulli beam supported using a simple Winkler linear elastic foundation are calculated. The method of solution is by He’s variational iteration method developed for various boundary (end) conditions. The beam’s natural frequencies and mode shapes are obtained, with rapid convergence noted during the calculations. The calculation method is tested using a clamped-clamped beam. In this paper a robust and efficient algorithm is also given, based on He’s method, which can be easily modified for more complicated elastic foundations.

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    Free Vibration Calculations of an Euler-Bernoulli Beam on an Elastic Foundation Using He’s Variational Iteration Method

    New search for: Tazabekova, Alima
    New search for: Adair, Desmond
    New search for: Ibrayev, Askar
    New search for: Kim, Jong

    Abstract Free vibration characteristics for an Euler-Bernoulli beam supported using a simple Winkler linear elastic foundation are calculated. The method of solution is by He’s variational iteration method developed for various boundary (end) conditions. The beam’s natural frequencies and mode shapes are obtained, with rapid convergence noted during the calculations. The calculation method is tested using a clamped-clamped beam. In this paper a robust and efficient algorithm is also given, based on He’s method, which can be easily modified for more complicated elastic foundations.

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    Title:

    Free Vibration Calculations of an Euler-Bernoulli Beam on an Elastic Foundation Using He’s Variational Iteration Method

    Contributors:

    Tazabekova, Alima (author) / Adair, Desmond (author) / Ibrayev, Askar (author) / Kim, Jong (author)

    Published in:

    Proceedings of China-Europe Conference on Geotechnical Engineering ; 1022-1026

    Springer Series in Geomechanics and Geoengineering

    Publication date:

    2018-01-01

    Size:

    5 pages

    ISBN:

    978-3-319-97114-8 , 978-3-319-97115-5

    ISSN:

    1866-8755 , 1866-8763

    DOI:

    https://doi.org/10.1007/978-3-319-97115-5_30

    Type of media:

    Article/Chapter (Book)

    Type of material:

    Electronic Resource

    Language:

    English

    Keywords:

    Free vibrations , He’s variational method , Winkler foundation Engineering , Geoengineering, Foundations, Hydraulics , Geotechnical Engineering & Applied Earth Sciences

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