High-order limit state functions in the response surface method for structural reliability analysis

290 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Probabilistic Analysis Using High Dimensional Model Representation and Fast Fourier Transform (2008, background): “This example considers a hypothetical limit state/performance function, originally studied by Gavin and Yau [ 35 ], of the following form: with three independent standard normal variables.”
Hybrid probabilistic interval analysis of bar structures with uncertainty using a mixed perturbation Monte-Carlo method (2011, methodology): “Second-order reliability theory [38], higher order moment method [39] and response surface method [40], Monte-Carlo simulation method [41,42], interval Monte-Carlo method [43] and other methods have been also used for reliability analysis.”
Adaptive response surface method based on a double weighted regression technique (2009, methodology): “This measure is also used in [22,23] in order to verify the accuracy of the approximation.”
Non-Gradient–Based Algorithm for Structural Reliability Analysis (2014, unknown): “275 (Gavin and Yau 2008) 10 — (22:5417, 0.”