...Gang Li; Long Jiang; Bin Lu; Wanxin He Sampling methods are powerful tools for structural reliability analysis with complex failure domains due to their stability and accuracy. One of the most frequently used sampling methods is the importance sampling (IS) method, which can markedly reduce...

... of experiments. The use of explicit boundaries enables the treatment of systems with discontinuous or binary behaviors. The explicit boundaries also allow for an efficient calculation of the probability of failure using importance sampling. The probability of failure is subsequently approximated over the whole...

... of the actual limit states are generated for each transition region. Importance sampling generates sample points only in the identified transition and failure regions, thus, allowing the method to focus on the areas near the failure region and not expend computational effort on the sample points in the safe...