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First-Order Approximation Methods in Reliability-Based Design Optimization
Journal of Mechanical Design, 2004Efficiency of reliability-based design optimization (RBDO) methods is a critical criterion as to whether they are viable for real-world problems. Early RBDO methods are thus based primarily on the first-order reliability method (FORM) due to its efficiency.
Anukal Chiralaksanakul +1 more
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On Two First Order Reliability Methods for Computing the Non-Probabilistic Reliability Index
Applied Mechanics and Materials, 2014The two first order reliability methods (FORM) for computing the non-probabilistic reliability index, namely the mean-value method and the design-point method, are investigated. A performance comparison is presented between these two methods. The results show that: (1) the value of the reliability index of the mean-value method depends on the specific ...
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The first-order reliability method (FORM) has been widely used in system reliability evaluation. However, calculating system reliability of structures with hundreds of components by FORM poses significant challenges.
Chen, Xin, Li, Jie
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Second-order reliability methods: a review and comparative study
Structural and Multidisciplinary Optimization, 2021Rami Mansour, Xiaoping Du, Zhangli Hu
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A novel reliability-based design method based on quantile-based first-order second-moment
Applied Mathematical Modelling, 2020Jianye Ching, Zhiyong Yang
exaly
Discussion on: First-order third-moment reliability method
Structural Safety, 1996Z. Sadovský, D. Páleš
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First-order reliability method to problems involving multimodal distributions
Structural and Multidisciplinary Optimization, 2023Xinpeng Wei +3 more
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A new direct second-order reliability analysis method
Applied Mathematical Modelling, 2018Yuxiong Li, Yimin Zhang, Xianzhen Huang
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