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    Random Vibrations of Nonlinear Continua Endowed with Fractional Derivative Elements

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    Author
    Spanos, Pol D.; Malara, Giovanni
    Date
    2017
    Abstract
    In this paper, two techniques are proposed for determining the large displacement statistics of random exciting continua endowed with fractional derivative elements: Boundary Element Method (BEM) based Monte Carlo simulation; and Statistical Linearization (SL). The techniques are applied to the problem of nonlinear beam and plate random response determination in the case of colored random external load. The BEM is implemented in conjunction with a Newmark scheme for estimating the system response in the time domain in conjunction with repeated simulations, while SL is used for estimating efficiently and directly, albeit iteratively, the response statistics.
    Citation
    Spanos, Pol D. and Malara, Giovanni. "Random Vibrations of Nonlinear Continua Endowed with Fractional Derivative Elements." Procedia Engineering, 199, (2017) Elsevier: 18-27. https://doi.org/10.1016/j.proeng.2017.09.144.
    Published Version
    https://doi.org/10.1016/j.proeng.2017.09.144
    Keyword
    continuum mechanics; fractional derivative; boundary element method; statistical linearization
    Type
    Journal article
    Publisher
    Elsevier
    Citable link to this page
    https://hdl.handle.net/1911/97812
    Rights
    This article is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International license
    Link to License
    https://creativecommons.org/licenses/by-nc-nd/4.0/
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    • Faculty Publications [4990]
    • Mechanical Engineering Publications [151]

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    Home | FAQ | Contact Us | Privacy Notice | Accessibility Statement
    Managed by the Digital Scholarship Services at Fondren Library, Rice University
    Physical Address: 6100 Main Street, Houston, Texas 77005
    Mailing Address: MS-44, P.O.BOX 1892, Houston, Texas 77251-1892
    Site Map