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Domain Decomposition Method for Calculating the Failure Probability of Linear Dynamic Systems Subjected to Gaussian Stochastic Loads

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References

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2003Equivalent linearization and Monte Carlo simulation in stochastic dynamics152 cited
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1999Assessment of low probability events of dynamical systems by controlled Monte Carlo simulation65 cited

Cited by

2020Bounding the first excursion probability of linear structures subjected to imprecise stochastic loading49 cited
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2014Estimation of first excursion probabilities for uncertain stochastic linear systems subject to Gaussian load44 cited
2021Failure probability estimation of a class of series systems by multidomain Line Sampling42 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 probability

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37 cited

2025First excursion probability of dynamical systems: A review on computational methods32 cited

2019An efficient surrogate-aided importance sampling framework for reliability analysis28 cited

2021Cross entropy-based importance sampling for first-passage probability estimation of randomly excited linear structures with parameter uncertainty27 cited

2013Reliability-based optimal design of linear structures subjected to stochastic excitations23 cited

2010Spherical subset simulation (S³) for solving non-linear dynamical reliability problems22 cited

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

2009Reliability analysis of wind-excited structures using domain decomposition method and line sampling16 cited

2021Augmented reliability analysis for estimating imprecise first excursion probabilities in stochastic linear dynamics16 cited