Computational Aspects for Random Vibration Analysis

by Polihronis-Thomas Demetriou Spanos, (A.M.ASCE), Assoc. Prof. of Engrg. Mechanics; Univ. of Texas at Austin, Austin, Tex.,
Wilfred D. Iwan, Prof.; California Inst. of Tech., Pasadena, Calif.,

Serial Information: Journal of the Engineering Mechanics Division, 1978, Vol. 104, Issue 6, Pg. 1403-1415

Document Type: Journal Paper


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.

Subject Headings: Building envelope | Oscillations | Computing in civil engineering | Vibration | Damping | Linear functions | Numerical analysis | Boundary element method

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