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Unified Uncertainty Analysis by the First Order Reliability Method
Journal of Mechanical Design, 2008Two types of uncertainty exist in engineering. Aleatory uncertainty comes from inherent variations while epistemic uncertainty derives from ignorance or incomplete information. The former is usually modeled by the probability theory and has been widely researched.
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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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Chaos control for numerical instability of first order reliability method
Communications in Nonlinear Science and Numerical Simulation, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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Discussion on: First-order third-moment reliability method
Structural Safety, 1996Z. Sadovský, D. Páleš
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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
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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
exaly