First-order reliability method

The first-order reliability method, (FORM), is a semi-probabilistic 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.[1][2] The method is also known as the Hasofer-Lind Reliability Index, developed by Professor Michael Hasofer and Professor Neil Lind in 1974.[3] The index has been recognized as an important step towards the development of contemporary methods to effectively and accurately estimate structural safety.[4][5]

The analysis method depends on a "Most Probable Point" on the limit state [6]

## See also

* EN 1990
* Stress–strength analysis

## References

1. ↑ Verderaime, V. (1994) "Illustrated Structural Application of Universal First-Order Reliability Method", NASA Technical Paper 3501\.
2. ↑ Cizelj, L.; Mavko, B.; Riesch-Oppermann, H. (1994) "Application of first and second order reliability methods in the safety assessment of cracked steam generator tubing", Nuclear Engineering and Design, 147.
3. ↑ Huang, Jinsong, and D. V. Griffiths. "Observations on FORM in a simple geomechanics example." Structural Safety 33, no. 1 (2011): 115-119.
4. ↑ Dudzik, A., and U. Radoń. "The reliability assessment for steel industrial building." Advances in Mechanics: Theorectical, Computational and Interdisciplinary Issues (2016): 163-166.
5. ↑ 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.
6. ↑ C Annis. "How FORM/SORM is Supposed to Work"

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