View source for First-order reliability method

The '''first-order reliability method''', ('''FORM'''), is a semi-probabilistic [[Reliability engineering|reliability analysis]] method devised to evaluate the reliability of a system. The accuracy of the method can be improved by averaging over many samples, which is known as Line Sampling.<ref>Verderaime, V. (1994) [https://books.google.com/books?id=awgVAQAAIAAJ&pg=PP3 "Illustrated Structural Application of Universal First-Order Reliability Method"], ''NASA Technical Paper'' 3501. </ref><ref>Cizelj, L.; Mavko, B.; Riesch-Oppermann, H. (1994) [http://www.ijs.si/~cizelj/papers/formsorm.pdf "Application of first and second order reliability methods in the safety assessment of cracked steam generator tubing"], ''Nuclear Engineering and Design'', 147.</ref>
The method is also known as the '''Hasofer-Lind Reliability Index''', developed by Professor Michael Hasofer and Professor Neil Lind in 1974.<ref>Huang, Jinsong, and D. V. Griffiths. "Observations on FORM in a simple geomechanics example." ''Structural Safety'' 33, no. 1 (2011): 115-119.</ref> The index has been recognized as an important step towards the development of contemporary methods to effectively and accurately estimate structural safety.<ref>Dudzik, A., and U. Radoń. "The reliability assessment for steel industrial building." ''Advances in Mechanics: Theorectical, Computational and Interdisciplinary Issues'' (2016): 163-166.</ref><ref>Choi, Chan Kyu, and Hong Hee Yoo. "Uncertainty analysis of nonlinear systems employing the first-order reliability method." ''Journal of Mechanical Science and Technology'' 26, no. 1 (2012): 39-44.</ref>

The analysis method depends on a "Most Probable Point" on the limit state <ref>C Annis. [https://web.archive.org/web/20190911145801/http://www.statisticalengineering.com/FORMSORM.htm "How FORM/SORM is Supposed to Work"]</ref>

== See also ==
* EN 1990
* [[Fast probability integration]]
* [[Stress–strength analysis]]

==References==
{{Reflist}}

[[Category:Probabilistic models]]
[[Category:Reliability engineering]]



{{Sourceattribution|First-order reliability method}}