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Articles | Volume 14, issue 2
https://doi.org/10.5194/ms-14-439-2023
https://doi.org/10.5194/ms-14-439-2023
Research article
 | 
19 Oct 2023
Research article |  | 19 Oct 2023

Modified control variates method based on second-order saddle-point approximation for practical reliability analysis

Xinong En, Yimin Zhang, and Xianzhen Huang

Related subject area

Subject: Mechanisms and Robotics | Techniques and Approaches: Reliability and Probability Analysis
Time-varying reliability models for parallel systems consisting of beam structures with crack flaws
Peng Gao and Liyang Xie
Mech. Sci., 15, 237–248, https://doi.org/10.5194/ms-15-237-2024,https://doi.org/10.5194/ms-15-237-2024, 2024
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Cited articles

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Au, S. K. and Beck, J. L.: Estimation of Small Failure Probabilities in High Dimensions by Subset Simulation, Probabilistic Eng. Mech., 16, 263–277, https://doi.org/10.1016/s0266-8920(01)00019-4, 2001. 
Bichon, B. J., Eldred, M. S., Swiler, L. P., Mahadevan, S., and McFarland, J. M.: Efficient Global Reliability Analysis for Nonlinear Implicit Performance Functions, AIAA J., 46, 2459–2468, https://doi.org/10.2514/1.34321, 2008. 
Binder, K. (Ed.): Applications of the Monte Carlo Method in Statistical Physics, in: Topics in Current Physics, Springer Berlin Heidelberg, ISBN: 978-3-540-17650-3, 1987. 
Breitung, K.: Asymptotic Approximations for Multinormal Integrals, J. Eng. Mech., 110, 357–366, https://doi.org/10.1061/(asce)0733-9399(1984)110:3(357), 1984. 
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A novel method is presented for efficiently analyzing the reliability of engineering components...
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