Application of line sampling simulation method to reliability benchmark problems

H J Pradlwarter, G I Schueller, Phaedon-Stelios Koutsourelakis, D C Charmpis

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    165 Citations (Scopus)

    Abstract

    A procedure denoted as Line Sampling (LS) has been developed for estimating the reliability of static and dynamical systems. The efficiency and accuracy of the method is shown by application to the subset of the entire spectrum of the posed benchmark problems [Schueller GI, Pradlwarter HJ, Koutsourelakis PS. Benchmark study on reliability estimation in higher dimensions of structural systems. In URL: http://www.uibk.ac.at/mechanik/Publications/benchmark.html. Institute of Engineering Mechanics, Leopold-Franzens University, Innsbruck, Austria, 2004], i.e. in particular linear systems with random properties. The notion of design point excitation for non-linear systems is discussed and its use extended for reliability estimations of conservative non-linear MDOF systems considering critical conditional excitation.

    For solving the hysteretic MDOF system with uncertain structural parameters subjected to general Gaussian excitation, however, the general applicable subset procedure [An S K, Beck J L. Estimation of small failure probabilities in high dimensions by subset simulation. Probab Eng Mech 2001;16:263-277] has been used combined with Importance Sampling. (c) 2006 Elsevier Ltd. All rights reserved.

    Original languageEnglish
    Pages (from-to)208-221
    Number of pages14
    JournalStructural Safety
    Volume29
    Issue number3
    DOIs
    Publication statusPublished - Jul 2007

    Keywords

    • structural reliability
    • Monte Carlo simulations
    • line sampling
    • structural uncertainty
    • non-linear systems
    • HIGH DIMENSIONS
    • EXCURSION PROBABILITIES
    • SYSTEMS
    • EXCITATION

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