Time-Variant Reliability Analysis of Linear Elastic Systems Subjected to Fully Nonstationary Stochastic Excitations
Publication: Journal of Engineering Mechanics
Volume 141, Issue 6
Abstract
This paper presents closed-form solutions for the nongeometric spectral characteristics of nonstationary stochastic processes representing the response of linear elastic structural models subjected to fully nonstationary excitation processes. These spectral characteristics provide a complete description of the nonstationary stochastic processes representing the dynamic response of linear structural models when the input excitation is a Gaussian process. In particular, the nongeometric spectral characteristics can be used to evaluate the time-variant central frequency and bandwidth parameters of nonstationary stochastic processes. The closed-form solutions derived in this paper are used to evaluate the time-variant statistics and the first-passage probability of the response of single-degree-of-freedom and multidegree-of-freedom linear elastic structural models subjected to a well-known, fully nonstationary earthquake ground motion model. The new analytical results presented in this paper can be used in a number of structural dynamic applications.
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Acknowledgments
Partial support of this research by (1) the Longwell's Family Foundation through the Fund for Innovation in Engineering Research (FIER) Program, (2) the Louisiana State University Council on Research through the 2009-2010 Faculty Research Grant Program, and (3) the Louisiana Board of Regents (LA BoR) through the Louisiana Board of Regents Research and Development Program, Research Competitiveness (RCS) subprogram under Award No. LESQSF(2010-13)-RD-A-01, is gratefully acknowledged. Any opinions, findings, conclusions or recommendations expressed in this publication are those of the authors and do not necessarily reflect the views of the sponsoring agencies.
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Published In
Journal of Engineering Mechanics
Volume 141 • Issue 6 • June 2015
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Dec 20, 2013
Accepted: Oct 15, 2014
Published online: Nov 20, 2014
Published in print: Jun 1, 2015
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