40 years FORM: Some new aspects?. (October 2015)

• Record Type: Journal Article
• Authors: Breitung, Karl
• Is Part Of: Probabilistic engineering mechanics. Volume 42(2015:Oct.)
• Page Start: 71
• Page End: 77
• Publication Date: 2015-10
• Subjects: Failure probability -- Structural reliability -- Dimension reduction -- FORM/SORM -- Modified HL–RF method -- Optimization algorithms -- Reliability index; Engineering -- Statistical methods -- Periodicals; Mechanics, Applied -- Statistical methods -- Periodicals; Probabilities -- Periodicals; Ingénierie -- Méthodes statistiques -- Périodiques; Mécanique appliquée -- Méthodes statistiques -- Périodiques; Probabilités -- Périodiques; 620.100727
• DOI: 10.1016/j.probengmech.2015.09.012
• Languages: English
• ISSNs: 0266-8920

Abstract

Abstract: 40 years ago Hasofer and Lind wrote their seminal paper[13] about FORM where they described an algorithm for finding the beta point. This algorithm, later in 1978 generalized by Rackwitz and Fiessler in[23] to include nonnormal random variables, is known as Hasofer-Lind–Rackwitz-Fiessler (HL–RF) algorithm and till now it is an important tool for reliability calculations. Here its relation with standard numerical optimization is explained. Further a simple method for computing the SORM factor is given and the connection of FORM/SORM with dimension reduction concepts is outlined.