References

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• 2014Stochastic Differential Equations574 cited
• 2006The principle of preservation of probability and the generalized density evolution equation517 cited
• 2011Random Vibrations: Analysis of Structural and Mechanical Systems473 cited
• 2015A GF-discrepancy for point selection in stochastic seismic response analysis of structures with uncertain parameters410 cited
• 2000Efficient path integration methods for nonlinear dynamic systems250 cited
• 2019Direct probability integral method for stochastic response analysis of static and dynamic structural systems201 cited
• 2021A unified analysis framework of static and dynamic structural reliabilities based on direct probability integral method137 cited
• 2017M5 model tree and Monte Carlo simulation for efficient structural reliability analysis81 cited
• 2021System reliability analyses of static and dynamic structures via direct probability integral method79 cited
• 2020Operator norm theory as an efficient tool to propagate hybrid uncertainties and calculate imprecise probabilities56 cited
• 2008Solution of generalized density evolution equation via a family of δ sequences45 cited
• 2022A fully adaptive method for structural stochastic response analysis based on direct probability integral method39 cited
• 2022A non-Gaussian stochastic model from limited observations using polynomial chaos and fractional moments