Computational Aspects of Random Vibration Analysis

Abstract

Computational aspects of the eigenfunction associated with the envelope of the nonstationary random response of a lightly damped linear oscillator are examined. Analytic formulas are given which may be used for an easily mechanized numerical computation of the probability density function and the moments of the response envelope. Formulas are also given facilitating the numerical determination, based on a perturbation type approach, of the statistics of the response envelope of a broad class of nonlinear oscillators. Specific computational problems are examined in the context of a Duffing oscillator.