Reliability analysis using an enhanced response surface moment method
Moment methods, which are powerful and simple techniques for analyzing the reliability of a system, evaluate the statistical moments of a system response function and use information from the probability distribution in the analysis. The full factorial moment method (FFMM) performs reliability analysis by using a 3n full factorial design of experiments (DOE) and the Pearson system for random variables. To overcome the inefficiency of FFMM, the response surface moment method (RSMM) has been proposed, which is based on a response surface model (RSM) that is updated by adding cross product terms into the simple quadratic model. In this paper, we propose the enhanced RSMM (RSMM+) that modifies the procedure of selecting a cross product term in the RSMM and adds a process of judging whether the response surface model can be established before performing an additional experiment. We apply the proposed method to several examples and show that it gives better results in efficiency.
KeywordsReliability analysis Moment method DOE Pearson system RSMM
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- A. M. Hasofer and N. C. Lind, Exact and Invariant Second-Moment Code Format, Journal of Engineering Mechanics Division, 100(1) (1974) 111–121.Google Scholar
- B. Fiessler, H. J. Neumann and R. Rackwitz, Quadratic Limit States in Structural Reliability, Journal of Engineering Mechanics, ASCE, 1095(4) (1979) 661–676.Google Scholar
- L. Wang, D. Beeson and G. Wiggs, Efficient and Accurate Point Estimate Method for Moments and Probability Distribution Estimation, Proc. of the 10th AIAA/ISSMO MAO Conference, Albany, New York, USA. (2004)Google Scholar
- H. S. Seo and B. M. Kwak, A Study on Development of Improved Tolerance Analysis and Synthesis System Using Design of Experiment, Department of Mechanical Engineering, KAIST, (2001).Google Scholar