Response Statistics of a Beam-Mass Oscillator Under Combined Harmonic and Random Excitation

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Abstract

In the present study, the response statistics of a beam-mass oscillator under combined harmonic and random excitation were investigated. The Gaussian and non-Gaussian closure schemes, in conjunction with the stochastic averaging method, were used to solve for the mean square response. The influence of the oscillator parameters on the response statistics was studied. The harmonic component of the excitation was observed to manifest itself, as an oscillation, in the steady-state mean square response. Results obtained showed that the non-Gaussian solution yields higher steady-state mean square responses than those obtained from the Gaussian solution. It was further shown that the harmonic time-varying properties of the oscillator are preserved by omitting the time-averaging in the stochastic averaging procedure.

Original languageEnglish
Pages (from-to)225-247
Number of pages23
JournalJournal of Vibration and Control
Volume1
Issue number2
DOIs
StatePublished - Apr 1995

Keywords

  • Random vibrations
  • beam-mass oscillator
  • non-Gaussian closure

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