Extremes of Gaussian Processes with Bimodal Spectra

An approximate solution is developed for the extreme-value distribution of a stationary Gaussian process with a spectral density function that exhibits two well-separated modes. Processes of this type arise in the analysis of the combined dynamic response to two loads or to one load that excites two...

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Bibliographic Details
Published in:Journal of engineering mechanics 1986-05, Vol.112 (5), p.465-484
Main Authors: Toro, Gabriel R, Cornell, C. Allin
Format: Article
Language:English
Subjects:
Applied sciences
Buildings. Public works
Exact sciences and technology
Stresses. Safety
Structural analysis. Stresses
TECHNICAL PAPERS
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Summary:An approximate solution is developed for the extreme-value distribution of a stationary Gaussian process with a spectral density function that exhibits two well-separated modes. Processes of this type arise in the analysis of the combined dynamic response to two loads or to one load that excites two of a structure's modes of vibration. Spectral moments of each of the modes taken separately are used to characterize the process; two envelope processes are then used to approximate the extreme value distribution. The proposed distribution is compared with other approximations and with results from Monte Carlo simulations.
ISSN:0733-9399
1943-7889
DOI:10.1061/(ASCE)0733-9399(1986)112:5(465)