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Spherical subset simulation (S³) for solving non-linear dynamical reliability problems

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References

2001Estimation of small failure probabilities in high dimensions by subset simulation2,419 cited
2002Important sampling in high dimensions375 cited
2001First excursion probabilities for linear systems by very efficient importance sampling282 cited
2003Equivalent linearization and Monte Carlo simulation in stochastic dynamics152 cited
1999Assessment of low probability events of dynamical systems by controlled Monte Carlo simulation65 cited
2006Domain Decomposition Method for Calculating the Failure Probability of Linear Dynamic Systems Subjected to Gaussian Stochastic Loads53 cited
2004A two-stage Subset Simulation-based approach for calculating the reliability of inelastic structural systems subjected to Gaussian random excitations39 cited
2004An efficient simulation method for reliability analysis of linear dynamical systems using simple additive rules of probability37 cited

Cited by

2018Experimental estimation of time variant system reliability of vibrating structures based on subset simulation with Markov chain splitting21 cited
2017On the evaluation of multiple failure probability curves in reliability analysis with multiple performance functions17 cited
2024Stability and reliability analysis of nonlinear stochastic system using data-driven dimensional analysis method15 cited
2013Integrating subset simulation with probabilistic re-analysis to estimate reliability of dynamic systems14 cited
2020

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Efficient structural reliability analysis by using a PGD model in an adaptive importance sampling schema

10 cited

2017State dependent Girsanov’s controls in time variant reliability estimation in randomly excited dynamical systems9 cited