A Second-Order Reliability Method With First-Order Efficiency
- 1 October 2010
- journal article
- Published by ASME International in Journal of Mechanical Design
- Vol. 132 (10), 101006
- https://doi.org/10.1115/1.4002459
Abstract
The 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 to identify 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 by a quadratic function. The cumulant generating function of the approximated limit-state function is then available so that saddlepoint approximation can be easily applied in 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.Keywords
This publication has 46 references indexed in Scilit:
- Reliability Analysis Using Dimension Reduction Method with Variable Sampling PointsTransactions of the Korean Society of Mechanical Engineers - A, 2009
- Accuracy analysis of a multi-loop linkage with joint clearancesMechanism and Machine Theory, 2008
- An Investigation of Nonlinearity of Reliability-Based Design Optimization ApproachesJournal of Mechanical Design, 2003
- Uncertainty analysis of planar and spatial robots with joint clearancesMechanism and Machine Theory, 2000
- A New Study on Reliability-Based Design OptimizationJournal of Mechanical Design, 1999
- Stochastic Linkage Modeling for Mechanical Error Analysis of Planar Mechanisms*Mechanics of Structures and Machines, 1998
- Advanced probabilistic structural analysis method for implicit performance functionsAIAA Journal, 1990
- Mechanical error of a four-bar linkage coupler curveMechanism and Machine Theory, 1987
- Analysis and synthesis of mechanical error in path-generating linkages using a stochastic approachMechanism and Machine Theory, 1987
- Saddlepoint Approximations in StatisticsThe Annals of Mathematical Statistics, 1954