 Reliability analysis using a 'Taylor expansion-expected value' saddlepoint approximationJia Wang, Siu-Kui Au and Ka-Veng Yuen International Journal of Reliability and Safety, 2011, vol. 5, issue 1, 44-65 Abstract: The problem of reliability analysis of dynamical systems is considered. Failure event in the problem is formulated as the exceedance of a performance variable over a prescribed threshold level. Saddlepoint approximation technique provides a choice to estimate the Cumulative Distribution Function (CDF) of the performance variable. The failure probability is obtained as the value of the complement of the CDF at a specified threshold. The method requires finding the saddlepoint from a simple algebraic equation that depends on the Cumulant Generating Function (CGF) of the performance variable. Two different methods, which respectively use Taylor series expansion and statistical averaging, are investigated for estimating the CGF of the performance variable based on its random samples. A ten-storey shear building model subjected to white noise excitation is used to show the preference of a combination of these two methods in terms of accuracy and efficiency. Keywords: CGF; cumulant generating function; failure probability; reliability analysis; saddlepoint approximation; cumulative distribution function; ten-storey shear building; modelling; white noise excitation. (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:ids:ijrsaf:v:5:y:2011:i:1:p:44-65 Access Statistics for this article More articles in International Journal of Reliability and Safety from Inderscience Enterprises Ltd |
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