Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Sensitivity and importance measures in structural reliability
In multivariate reliability problems, which depend on one or more parameters τ, a sensitivity factor αE[τ] is defined as the derivative of the equivalent reliability index βE(τ)=-φ-1[Pf(τ)] with Pf(τ) the failure probability. αE[τ] expresses the change of αE(τ) due to small variations of τ. Since the numerical evaluation of αE[τ] is usually impractical, an approximation αE[τ]≈α[τ] is derived, which is asymptotically exact for extreme reliability levels. Simple formulae for α[τ] are given. The approximation αE[τ]:a[τ] also provides the basis for a better understanding of the commonly used alpha values αi=-1/βui* as importance measures for stochastic variables.
Sensitivity and importance measures in structural reliability
In multivariate reliability problems, which depend on one or more parameters τ, a sensitivity factor αE[τ] is defined as the derivative of the equivalent reliability index βE(τ)=-φ-1[Pf(τ)] with Pf(τ) the failure probability. αE[τ] expresses the change of αE(τ) due to small variations of τ. Since the numerical evaluation of αE[τ] is usually impractical, an approximation αE[τ]≈α[τ] is derived, which is asymptotically exact for extreme reliability levels. Simple formulae for α[τ] are given. The approximation αE[τ]:a[τ] also provides the basis for a better understanding of the commonly used alpha values αi=-1/βui* as importance measures for stochastic variables.
Sensitivity and importance measures in structural reliability
Hohenbichler, M. (Autor:in) / Rackwitz, R. (Autor:in)
Civil Engineering and Environmental Systems ; 3 ; 203-209
01.12.1986
7 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
Parameter Sensitivity and Importance Measures in Nonlinear Finite Element Reliability Analysis
| Online Contents | 2005
Measures of Structural Reliability
| Wiley | 2017
Meta-model-based importance sampling for reliability sensitivity analysis
| British Library Online Contents | 2014
Structural reliability and its sensitivity
| Taylor & Francis Verlag | 1985