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A first passage approximation for normal stationary random processes

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References

1966Some First-Passage Problems in Random Vibration177 cited
1970First-crossing probabilities of the linear oscillator168 cited
1986First-passage probabilities for randomly excited systems: Diffusion methods86 cited
1984An Integral Equation Method for the First-Passage Problem in Random Vibration77 cited
1986First-passage time for randomly excited non-linear oscillators69 cited
1982On the reliability of the linear oscillator and systems of coupled oscillators53 cited
1976First passage time for the envelope of a randomly excited linear oscillator53 cited

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2006First passage times of stationary non-Gaussian structural responses21 cited
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2008Numerical calculation for first excursion probabilities of linear systems17 cited
2018First passage probability assessment of stationary non-Gaussian process using the third-order polynomial transformation17 cited
2023A critical review on methods for time-dependent structural reliability16 cited
2021First-passage probability estimation by Poisson branching process model15 cited
2020Stochastic Process-Based Structural Reliability Considering Correlation between Upcrossings

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12 cited