A study of design points search method based on the RF algorithm with initial values specified on the limit state surfaces in all of quadrants of basic random variable space

Abstract

This study describes an efficient application of Rackwitz Fiessler algorithm to search out all of design points, utilized in the importance sampling simulation to estimate structural failure probabilities. Specify several initial points to execute Rackwitz Fiessler algorithm in respective quadrants of the basic random variables space and all of possible design points are determined. Numerical example to estimate the failure probability of structural system with nonlinear limit state function by the multimodal importance sampling simulation utilizing all of design points determined by the proposed method is presented to illustrate the proposed method contribute to give accurate estimation effectively.