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.

The method is also known as the Hasofer-Lind Reliability Index, developed by Professor Michael Hasofer and Professor Niels Lind in 1974. The index has been recognized as an important step towards the development of contemporary methods to effectively and accurately estimate structural safety.

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

See also

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. ↑ 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
  4. ↑ Huang, Jinsong, and D. V. Griffiths. "Observations on FORM in a simple geomechanics example." Structural Safety 33, no. 1 (2011): 115-119.
  5. ↑ Dudzik, A., and U. Radoń. "The reliability assessment for steel industrial building." Advances in Mechanics: Theorectical, Computational and Interdisciplinary Issues (2016): 163-166.
  6. ↑ 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.
  7. ↑ C Annis. "How FORM/SORM is Supposed to Work"