First-order reliability method
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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.cite-ref-1[1]cite-ref-2[2]
The method is also known as the Hasofer-Lind Reliability Index, developed by Professor Michael Hasofer and Professor Niels Lind in 1974.cite-ref-3[3]cite-ref-4[4] The index has been recognized as an important step towards the development of contemporary methods to effectively and accurately estimate structural safety.cite-ref-5[5]cite-ref-6[6]
The analysis method depends on a "Most Probable Point" on the limit state cite-ref-7[7]
Contents
• See also
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See also
References
cite-note-11. ↑ Verderaime, V. (1994) "Illustrated Structural Application of Universal First-Order Reliability Method", NASA Technical Paper 3501.
cite-note-22. ↑ 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.
cite-note-33. ↑ Hasofer, Abraham M., & Lind, Niels C. (1974). "An Exact and Invariant First Order Reliability Format." ASCE Journal of the Engineering Mechanics Division. Vol. 100. EM1. Feb 1974. 111-121
cite-note-44. ↑ Huang, Jinsong, and D. V. Griffiths. "Observations on FORM in a simple geomechanics example." Structural Safety 33, no. 1 (2011): 115-119.
cite-note-55. ↑ Dudzik, A., and U. Radoń. "The reliability assessment for steel industrial building." Advances in Mechanics: Theorectical, Computational and Interdisciplinary Issues (2016): 163-166.
cite-note-66. ↑ 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.
cite-note-77. ↑ C Annis. "How FORM/SORM is Supposed to Work"