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A study on first-order-second-moment method in structural reliability
Bulletin of University of Osaka Prefecture. Series A, Engineering and natural sciences, 1984Summary: This paper proposes a new method for searching the best linearization point in the advanced first-order-second-moment method. It is compared with the methods by Rackwits-Fiessler and Chen-Lind [\textit{R. Rackwitz}, \textit{B. Fiessler}, Comput. Struct. 9, 489-494 (1978; Zbl 0402.73071); \textit{X. Chen} and \textit{N. C. Lind}, Struct. Safety
Murotsu, Yoshisada +4 more
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Efficient Spreadsheet Algorithm for First-Order Reliability Method
Journal of Engineering Mechanics, 2007A new spreadsheet-cell-object-oriented algorithm for the first-order reliability method is proposed and illustrated for cases with correlated nonnormals and explicit and implicit performance functions. The new approach differs from the writers earlier algorithm by obviating the need for computations of equivalent normal means and equivalent normal ...
Low, B.K., Tang, Wilson H.
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First-order reliability application and verification methods for semistatic structures
Journal of Spacecraft and Rockets, 1994Escalating risks of aerostructures stimulated by increasing size, complexity, and cost should no longer be ignored by conventional deterministic safety design methods. The deterministic pass-fail concept is incompatible with probability and risk assessments, its stress audits are shown to be arbitrary and incomplete, and it compromises high strength ...
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Refined first-order reliability method using cross-entropy optimization method
Engineering with Computers, 2018Generally, the first-order reliability method (FORM) is an efficient and accurate reliability method for problems with linear limit state functions (LSFs). It is showed that the FORM formula may produce inaccurate results when the LSF is defined by mathematical forms introduced as gray function.
Hamed Ghohani Arab +5 more
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Adaptive stability transformation method of chaos control for first order reliability method
Engineering with Computers, 2017The efficiency and robustness are two key performance indexes for first-order reliability method (FORM). In this study, two different algorithms, including the adaptive stability transformation method (ASTM) and enhanced adaptive stability transformation method (EASTM), are proposed to improve the efficiency and robustness of FORM.
Zeng Meng, Yuxue Pu, Huanli Zhou
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Applicability of First Order Reliability Methods A State of the Art
1989This paper introduces First-Order Reliability Methods (FORM) and presents in a condensed form examples from recent applications of FORM in structural analyses.
D. Diamantidis, G. Ferro, P. Bazzurro
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Reliability Estimation of the Pultrusion Process Using the First-Order Reliability Method (FORM)
Applied Composite Materials, 2012In the present study the reliability estimation of the pultrusion process of a flat plate is analyzed by using the first order reliability method (FORM). The implementation of the numerical process model is validated by comparing the deterministic temperature and cure degree profiles with corresponding analyses in the literature.
Ismet Baran +2 more
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New Perspective on Application of First-Order Reliability Method for Estimating System Reliability
Journal of Engineering Mechanics, 2017AbstractAn efficient procedure employing the first-order reliability method (FORM) is proposed to evaluate the reliability of engineering systems governed by multiple limit state functions that are...
W. Zhou, C. Gong, H. P. Hong
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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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