Second-Order Reliability Method with First-Order Efficiency
The widely used First Order Reliability Method (FORM) is efficient, but may not be accurate for nonlinear limit-state functions. The Second Order Reliability Method (SORM) is more accurate but less efficient. To maintain both high accuracy and efficiency, we propose a new second order reliability analysis method with first order efficiency. The method first performs the FORM and identifies the Most Probable Point (MPP). Then the associated limit-state function is decomposed into additive univariate functions at the MPP. Each univariate function is further approximated as a quadratic function, which is created with the gradient information at the MPP and one more point near the MPP. The cumulant generating function of the approximated limit-state function is then available so that saddlepoint approximation can be easily applied for computing the probability of failure. The accuracy of the new method is comparable to that of the SORM, and its efficiency is in the same order of magnitude as the FORM. © 2010 by ASME.
X. Du and J. Zhang, "Second-Order Reliability Method with First-Order Efficiency," Proceedings of the ASME Design Engineering Technical Conference, American Society of Mechanical Engineers (ASME), Jan 2010.
The definitive version is available at https://doi.org/10.1115/DETC2010-28178
Proceedings of the ASME Design Engineering Technical Conference (2010, Montreal, QC)
Mechanical and Aerospace Engineering
Article - Conference proceedings
© 2010 American Society of Mechanical Engineers (ASME), All rights reserved.