Moment-Based Translation Model for Hardening Non-Gaussian Response Processes
Publication: Journal of Engineering Mechanics
Volume 142, Issue 2
Abstract
The translation process theory has widely been used in assessing extreme and fatigue damage of stochastic non-Gaussian response processes. It relates a non-Gaussian process to an underlying Gaussian process through a monotonic translation function. For softening non-Gaussian processes with kurtosis larger than three, the Hermite polynomials model has been used in those situations in which the model coefficients are determined from the skewness and kurtosis of the process with closed-form formulations. This study presents a moment-based translation model for hardening non-Gaussian processes with kurtosis less than three. Closed-form formulations for determining the model coefficients in terms of skewness and kurtosis are presented. The accuracy and limitations of moment-based translation model in representing non-Gaussian processes are also discussed. The proposed moment-based translation model facilitates the analysis of extreme and fatigue of hardening non-Gaussian processes.
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Acknowledgments
The support for this work, provided in part by NSF grant number CMMI-1029922, is greatly acknowledged.
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Information
Published In
Journal of Engineering Mechanics
Volume 142 • Issue 2 • February 2016
Copyright
© 2015 American Society of Civil Engineers.
History
Received: Nov 17, 2014
Accepted: Jun 11, 2015
Published online: Jul 7, 2015
Discussion open until: Dec 7, 2015
Published in print: Feb 1, 2016
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