Reliability-based Structural Design

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Probabilistic Evaluation of Structural Fire Resistance (2013, background): “Characteristics of performance function G (adapted from [17]).”
Fuzzy structural analysis based on fundamental reliability concepts (2012, methodology): “Rotating the u space into a new set of independent Gaussian variables u Ru with a rotation matrix R having p as its dth row (see details in [54]), it can be demonstrated that the design point will be located in the zn axis and that (15) becomes”
A sequential surrogate method for reliability analysis based on radial basis function (2017, methodology): “The mean value method (MVM) [3-4] performs a first-order Taylor expansion of the LSF at the design point, in which the LSF is assumed to be normal distribution.”
Design of Composite Wings Including Uncertainties : A Probabilistic Approach (2009, methodology): “If the coefficient of variation of the uncertain parameter is large or the response is nonlinear, FORM predicts a poor reliability and the HLmethod does not guarantee convergence [28].”