Citation map · Study

SZodixStudyAcademic Library

Shelves Open access

Study · an open academic library·Metadata from OpenAlex (CC0)·Shelves·OpenAlex metadata, de-duplicated

Closed-Form Solution to First Passage Probability for Nonstationary Lognormal Processes

13 references·16 citing·39 second hop

FromToDepth

this work references cited by second hop

References

2017Structural Reliability Analysis and Prediction3,780 cited
2001Reliability analysis—a review and some perspectives775 cited
2003The PHI2 method: a way to compute time-variant reliability460 cited
2008Analytical derivation of the outcrossing rate in time-variant reliability problems326 cited
2013Time-dependent reliability analysis with joint upcrossing rates234 cited
1991Vector Process Out‐Crossing as Parallel System Sensitivity Measure201 cited
1964Probability of Structural Failure Under Random Loading107 cited
1983Gaussian Outcrossings from Safe Convex Polyhedrons95 cited
1995Approximations of first-passage times for differentiable processes based on higher-order threshold crossings87 cited
1993Outcrossings from Convex Polyhedrons for Nonstationary Gaussian Processes73 cited
1990Methods for Time‐Dependent Reliability and Sensitivity Analysis69 cited
1992Load‐Space Formulation for Time‐Dependent Structural Reliability64 cited
2005A translation model for non-stationary, non-Gaussian random processes51 cited

Cited by

2022The GLO method: An efficient algorithm for time-dependent reliability analysis based on outcrossing rate35 cited

Only edges whose both ends are imported exist here. Widen the year window, or show the whole map. Back to the work

2025

First excursion probability of dynamical systems: A review on computational methods

32 cited

2018Efficient Solution for Calculation of Upcrossing Rate of Nonstationary Gaussian Process30 cited

2023A loading contribution degree analysis-based strategy for time-variant reliability analysis of structures under multiple loading stochastic processes28 cited

2021Importance Sampling for Time-Variant Reliability Analysis27 cited

2021Dynamic reliability analysis for non-stationary non-Gaussian response based on the bivariate vector translation process26 cited

2022Time-dependent structural reliability under nonstationary and non-Gaussian processes26 cited

2022Time-variant reliability analysis using moment-based equivalent Gaussian process and importance sampling25 cited

2025Towards a single-loop Gaussian process regression based-active learning method for time-dependent reliability analysis24 cited

2025Time-dependent reliability analysis by a single-loop Bayesian active learning method using Gaussian process regression18 cited

2020Time-Dependent Structural Reliability Assessment for Nonstationary Non-Gaussian Performance Functions17 cited

2023A critical review on methods for time-dependent structural reliability16 cited

2019Structural Time-Dependent Reliability Assessment with New Power Spectral Density Function16 cited

2020Kriging Model for Time-Dependent Reliability: Accuracy Measure and Efficient Time-Dependent Reliability Analysis Method15 cited

2020Stochastic Process-Based Structural Reliability Considering Correlation between Upcrossings12 cited

2024An improved analytical solution to outcrossing rate for scalar nonstationary and non-gaussian processes10 cited