Numerical integration method for computing reliability index of geotechnical system

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题名:	Numerical integration method for computing reliability index of geotechnical system
作者:	莊長賢;Gong, Wenping;Juang, C. Hsein;Martin, James R.
贡献者:	工學院土木工程學系
关键词:	Computation;Cumulative distribution function;Design analysis;Design engineering;drilled shaft;Geotechnics;Mathematical analysis;Mathematical models;Monte Carlo simulation;Numerical integration;reliability index;retaining wall;Sand
日期:	2016-04-02
上传时间:	2026-04-21 14:04:14 (UTC+8)
出版者:	Taylor and Francis Ltd.;Taylor & Francis
摘要:	摘要： To account for the uncertainties in the design of a geotechnical system, reliability-based design approach is often adopted, in which the main task is to evaluate reliability index of the system based on a performance function (or limit state function). In this paper, we propose a new method for computing the reliability index, based upon the numerical integration of the cumulative distribution function (CDF) of the performance function. This numerical integration method requires only a deterministic evaluation of the system performance and the joint probability of the uncertain input parameters. The effectiveness and the efficiency of the proposed method, measured in terms of the accuracy and the computational effort, respectively, are demonstrated with two geotechnical problems: a drilled shaft in sand and a semi-gravity retaining wall. The new method is found valid regardless of the type of distribution of uncertain input parameters, whether the correlations exist among these input parameters, whether the system involves single or multiple failure modes, and how the performance function is formulated. 出版者： Taylor & Francis 出版日期： 2016-04-02 出處： Georisk, 2016-04, Vol.10 (2), p.109-120 版權： 2015 Taylor & Francis 2015 識別號： ISSN: 1749-9518 識別號： EISSN: 1749-9526 識別號： DOI: 10.1080/17499518.2015.1102292
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