Article2001

Multiple Linearization Method for Nonlinear Reliability Analysis

41 citations0/0 files storedJournal of Engineering Mechanics

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Probabilistic and Robust Engineering Design Reliability and Maintenance Optimization Geotechnical Engineering and Analysis

Abstract

A multiple linearization algorithm for the reliability analysis of nonlinear limit states is presented in this paper. This method identifies several hyperplane approximations to the limit state and computes the failure probability through the union or intersection of the failure domains corresponding to each segment. This approach is useful for both component and system level reliability problems. The multiple linearization points are determined through the secant method. Correlation information about the hyperplanes is used to achieve computational efficiency. Numerical examples are presented to show the benefits of the proposed method.

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References

1996Structural Reliability Methods 1987Second‐Order Reliability Approximations 1982First-order concepts in system reliability 1986Application of Structural Systems Reliability Theory 1998Multiple design points in first and second-order reliability 1993A benchmark study on importance sampling techniques in structural reliability 1990Distribution of Quadratic Forms in Normal Space—Application to Structural Reliability 1979Generalized Second Moment Reliability Index

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