Maximum Response Statistics for Yielding Oscillator

by Nilesh C. Chokshi, (A.M.ASCE), Dynamic Analysis Engr.; Brown and Root, Inc., Houston, Tex.,
Loren D. Lutes, (M.ASCE), Assoc. Prof. of Civ. Engrg.; Rice Univ., Houston, Tex.,

Serial Information: Journal of the Engineering Mechanics Division, 1976, Vol. 102, Issue 6, Pg. 983-993

Document Type: Journal Paper


Results are presented from an empirical (Monte Carlo) study of the extreme values (i.e., maximum values over an interval of time) of the response of yielding oscillators excited by a random process. An electronic differential analyzer analog computer was used to perform the Monte Carlo simulation. The oscillators considered are of the single-degree-of-freedom type with a bilinear hysteretic restoring force, and the excitation used is stationary normal white noise. The probability-distribution of the extreme value of response of a given system to a given level of excitation is obtained for time intervals ranging at 0.5-10 periods of the response. In addition to results for the zero-start situation, some data for stationary response are included. Because of the close fit of most of the data to the Gumbel distribution it is possible to characterize the extreme value distribution by plots of the mean and variance of the extreme value versus the length of the time interval used.

Subject Headings: Statistics | Oscillations | Case studies | Monte Carlo method | Computer analysis | Excitation (physics) | Analogs | Computer models | Monaco | Europe

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