Moment Analysis of a Duffing Oscillator Subjected to Non-Gaussian Random Excitation by Using the Equivalent Non-Gaussian Excitation Method and the Equivalent Linearization

DOI
  • KANNO Kohei
    Department of Systems and Control Engineering, Tokyo Institute of Technology
  • TSUCHIDA Takahiro
    Department of Systems and Control Engineering, Tokyo Institute of Technology
  • KIMURA Koji
    Department of Systems and Control Engineering, Tokyo Institute of Technology

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Description

An approximate analytical method is proposed to estimate the statistical moments up to the 4th order of the response of a Duffing oscillator subjected to non-Gaussian random excitation. The non-Gaussian excitation is prescribed by a wide class of probability densities and the power spectrum with bandwidth parameter. The moment equations for the system response are derived from the equation of motion of the system and the stochastic differential equation governing the excitation. However, they are not closed due to the complexity of the diffusion coefficient of the stochastic differential equation for the excitation and the system nonlinearity. Therefore, applying the equivalent non-Gaussian excitation method and the equivalent linearization, a closed set of the moment equations are obtained approximately. In numerical examples, we analyze a Duffing oscillator under non-Gaussian excitation with various shapes of probability densities. the response moments obtained by the present method are compared with Monte Carlo simulation results.

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Details 詳細情報について

  • CRID
    1390845713049343872
  • NII Article ID
    130007585000
  • DOI
    10.11345/nctam.64.115
  • ISSN
    13494244
    13480693
  • Text Lang
    en
  • Data Source
    • JaLC
    • CiNii Articles
  • Abstract License Flag
    Disallowed

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