Probability Density Evolution Method for Seismic Reliability Evaluation of Structural Systems

Abstract:

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A structural system reliability evaluation approach based on the idea of equivalent extreme-value event and the probability density evolution method is presented. Using the idea of equivalent extreme-value event, for a compound random event as combination of a set of random events, an equivalent extreme-value event could be constructed. So, this makes it possible to transform computation of the probability of the compound random event to a one-dimensional integration of the probability density function of the equivalent extreme-value random variable. In conjunction with the probability density evolution method, which is capable of evaluating the extreme-value distribution of a set of random variables or stochastic processes, the structural system reliability could be evaluated through computing the probability of the equivalent extreme-value event. The proposed approach is discussed in detail on how to construct the equivalent extreme-value event and then implement the procedure numerically. On the other hand, based on the orthogonal expansion method, the stochastic process of earthquake ground motion can be represented as a linear combination of deterministic functions modulated by a set of mutually independent random variables. Combining the above methods, the reliability of structures under earthquake excitations could be successfully evaluated. An example, of which deals with a linear frame structure subjected to non-stationary seismic loading, is illustrated to validate the proposed method.

Info:

Periodical:

Advanced Materials Research (Volumes 255-260)

Edited by:

Jingying Zhao

Pages:

2606-2611

DOI:

10.4028/www.scientific.net/AMR.255-260.2606

Citation:

Y. L. Lei and Z. J. Liu, "Probability Density Evolution Method for Seismic Reliability Evaluation of Structural Systems", Advanced Materials Research, Vols. 255-260, pp. 2606-2611, 2011

Online since:

May 2011

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Price:

$35.00

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