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Computational Methods in Stochastic Dynamics pp 55–67Cite as

Computational Stochastic Dynamics Based on Orthogonal Expansion of Random Excitations

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Part of the book series: Computational Methods in Applied Sciences ((COMPUTMETHODS,volume 26))

Abstract

A major challenge in stochastic dynamics is to model nonlinear systems subject to general non-Gaussian excitations which are prevalent in realistic engineering problems. In this work, an n-th order convolved orthogonal expansion (COE) method is proposed. For linear vibration systems, the statistics of the output can be directly obtained as the first-order COE about the underlying Gaussian process. The COE method is next verified by its application on a weakly nonlinear oscillator. In dealing with strongly nonlinear dynamics problems, a variational method is presented by formulating a convolution-type action and using the COE representation as trial functions.

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Author information

Authors and Affiliations

  1. Department of Civil, Environmental and Ocean Engineering, Stevens Institute of Technology, Hoboken, NJ, 07030, USA

    X. Frank Xu

  2. Institute of Structural Analysis & Antiseismic Research, National Technical University of Athens, 15780, Athens, Greece

    George Stefanou

Authors
  1. X. Frank Xu
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  2. George Stefanou
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Corresponding author

Correspondence to X. Frank Xu .

Editor information

Editors and Affiliations

  1. Inst. Structural Analysis & Seismic Res., National Technical University of Athens, Iroon Polytechniou, Zografou Campus 9, Athens, 15780, Greece

    Manolis Papadrakakis

  2. Inst. Structural Analysis & Seismic Res., National Technical University of Athens, Iroon Polytechniou, Zografou Campus 9, Athens, 15780, Greece

    George Stefanou

  3. Inst. Structural Analysis & Seismic Res., National Technical University of Athens, Iroon Polytechniou, Zografou Campus 9, Athens, 15780, Greece

    Vissarion Papadopoulos

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Xu, X.F., Stefanou, G. (2013). Computational Stochastic Dynamics Based on Orthogonal Expansion of Random Excitations. In: Papadrakakis, M., Stefanou, G., Papadopoulos, V. (eds) Computational Methods in Stochastic Dynamics. Computational Methods in Applied Sciences, vol 26. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-5134-7_4

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  • DOI: https://doi.org/10.1007/978-94-007-5134-7_4

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-5133-0

  • Online ISBN: 978-94-007-5134-7

  • eBook Packages: EngineeringEngineering (R0)

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