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30-08-2017 | Original Article | Issue 2/2018

Engineering with Computers 2/2018

Extension of quasi-Newton approximation-based SORM for series system reliability analysis of geotechnical problems

Journal:
Engineering with Computers > Issue 2/2018
Authors:
Peng Zeng, Tianbin Li, Rafael Jimenez, Xianda Feng, Yu Chen

Abstract

The quasi-Newton approximation-based second-order reliability method is extended, through the incorporation of a linearization approach, to analyze the series system reliability of geotechnical problems. Two types of quasi-Newton approximations are applied to identify the design point and to compute the second-order probability of failure, respectively. The equivalent second-order reliability index is obtained using an approximation hyperplane for each limit state function. Then, the computed equivalent second order reliability indices can be employed, together with the corresponding unit direction vectors, to estimate the series system probability of failure using a linearization approach. Three geotechnical problems are employed to demonstrate the efficiency and accuracy of the suggested procedure, and advantages with respect to alternative computational tools are discussed.

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