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An efficient third-moment saddlepoint approximation for probabilistic uncertainty analysis and reliability evaluation of structures

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References

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2001Multiple Linearization Method for Nonlinear Reliability Analysis

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41 cited

Cited by

2018Establishment of non-negative constraint method as a robust and efficient first-order reliability method31 cited
2022Generalized distribution reconstruction based on the inversion of characteristic function curve for structural reliability analysis23 cited
2020Dynamic Model-based Saddle-point Approximation for Reliability and Reliability-based Sensitivity Analysis22 cited
2019A hybrid approach for reliability-based robust design optimization of structural systems with dependent failure modes20 cited
2016Multidisciplinary reliability design optimization using an enhanced saddlepoint approximation in the framework of sequential optimization and reliability analysis19 cited
2017A method for estimating the reliability of structural systems with moment-matching and copula concept19 cited
2023Harmonic transform-based non-parametric density estimation method for forward uncertainty propagation and reliability analysis18 cited
2019Reliability analysis of nonlinear dynamic system with epistemic uncertainties using hybrid Kriging-HDMR18 cited
2024Saddlepoint Approximation Method in Reliability Analysis: A Review13 cited
2022Dynamic reliability analysis of gear transmission system based on sparse grid numerical integration and saddle‐point approximation method11 cited
2021Sequential mixture of Gaussian processes and saddlepoint approximation for reliability-based design optimization of structures11 cited
2021Time-dependent reliability and optimal design of scraper chains based on fretting wear process10 cited