Methods of structural safety

By H. Madsen, S. Krenk, N. Lind. 2006

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A comparative study of uncertainty propagation methods for black-box-type problems (2008, methodology): “A lot of efforts have been made to develop methods of UP in various fields such as structural reliability ( Madsen et al. 2006; Christensen and Baker 1982; Kiureghian 1996), stochastic mechanics (Ghanem and Spanos 1991; Liu et al. 1986), and quality engineering (Evans 1972; Taguchi 1978; D’Errico a”
Optimum values of structural safety factors for a predefined reliability level with extension to multiple limit states (2004, methodology): “In structural reliability theory, very effective techniques have been developed during the last 30 years to estimate the reliability, namely first order reliability methods (FORM), second order reliability methods (SORM) and simulation techniques (see, e.g., Thoft-Christensen and Murotso (1986), Ma”
Structural reliability analysis based on random distributions with interval parameters (2011, methodology): “(6) can be solved efficiently by the well-known HL-RF algorithm based on the following iteration [32]:”