Nonstationary Maximum Response Statistics for Linear Structures
Publication: Journal of Engineering Mechanics
Volume 117, Issue 2
Abstract
The mean and the variance are investigated for the maximum absolute value of a nonstationary process that represents the response buildup of a linear oscillator. The mean and variance are computed both by simulation and approximate analytical techniques, with emphasis on a comparative evaluation of available techniques and proposed procedures. The cumulative distribution function of the maximum value is represented by a form that is a function of a conditional rate of barrier crossings. This rate is computed by using a nonstationary approximation of Poisson crossings, and also by using available empirical expressions. In addition, existing expressions are used to estimate the mean and the variance of the maximum value of a nonstationary process by defining a shortened duration for an “equivalent” stationary process. Finally, the first passage problem is also posed as one governed by classical state‐space moment equations, and a modified Gaussian closure technique is used to obtain an approximate solution.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 117 • Issue 2 • February 1991
Pages: 294 - 311
Copyright
Copyright © 1991 ASCE.
History
Published online: Feb 1, 1991
Published in print: Feb 1991
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