SZodixStudyAcademic Library
ShelvesOpen access
Study · an open academic library·Metadata from OpenAlex (CC0)·Shelves·OpenAlex metadata, de-duplicated
A unified formalism of the GE-GDEE for generic continuous responses and first-passage reliability analysis of multi-dimensional nonlinear systems subjected to non-white-noise excitations
11 references·16 citing·42 second hop
A unified formalism of the GE-GDEE for generic continuous responses and first-passage reliability analysis of multi-dimensional nonlinear systems subjected to non-white-noise excitations (2022)A unified formalism of the GE-GDEE for ge…A unified analysis framework of static and dynamic structural reliabilities based on direct probability integral method (2021)A unified analysis framework …Structural reliability analysis for p-boxes using multi-level meta-models (2017)Structural reliability analys…Response and First-Passage Statistics of Nonlinear Oscillators via a Numerical Path Integral Approach (2012)Response and First-Passage St…The equivalent extreme-value event and evaluation of the structural system reliability (2006)The equivalent extreme-value …Reliability of structures in high dimensions, part I: algorithms and applications (2004)Reliability of structures in …Estimation of small failure probabilities in high dimensions by subset simulation (2001)Estimation of small failure p…Simulation of Stochastic Processes by Spectral Representation (1991)Simulation of Stochastic Proc…Stochastic averaging: An approximate method of solving random vibration problems (1986)Stochastic averaging: An appr…Gaussian Outcrossings from Safe Convex Polyhedrons (1983)Gaussian Outcrossings from Sa…Method for Random Vibration of Hysteretic Systems (1976)Method for Random Vibration o…Reliability of Aircraft Structures in Resisting Chance Failure (1959)Reliability of Aircraft Struc…Structural design optimization under stochastic excitations considering first-passage probability constraint based on dimension-reduced probability density evolution equation (2025)Structural design optimizatio…First excursion probability of dynamical systems: A review on computational methods (2025)First excursion probability o…Efficient stochastic response analysis of high-dimensional nonlinear systems subject to multiplicative noise via the DR-PDEE (2025)Efficient stochastic response…Structural reliability analysis with extremely small failure probabilities: A quasi-Bayesian active learning method (2024)Structural reliability analys…Simulation-free reliability analysis with importance sampling-based adaptive training physics-informed neural networks: Method and application to chloride penetration (2024)Simulation-free reliability a…Probabilistic response determination of high-dimensional nonlinear dynamical systems enforced by parametric multiple Poisson white noises (2024)Probabilistic response determ…High-efficient non-iterative reliability-based design optimization based on the design space virtually conditionalized reliability evaluation method (2024)High-efficient non-iterative …Efficient reliability analysis of stochastic dynamic first-passage problems by probability density evolution analysis with subset supported point selection (2024)Efficient reliability analysi…Dynamic reliability analysis of Aerial Building Machine under extreme wind loads using improved QBDC-based active learning (2024)Dynamic reliability analysis …A physics and data co-driven surrogate modeling method for high-dimensional rare event simulation (2024)A physics and data co-driven …Relaxation-based importance sampling for structural reliability analysis (2023)Relaxation-based importance s…Refined probabilistic response and seismic reliability evaluation of high-rise reinforced concrete structures via physically driven dimension-reduced probability density evolution equation (2023)Refined probabilistic respons…One-step look-ahead policy for active learning reliability analysis (2023)One-step look-ahead policy fo…A decoupled approach for determination of the joint probability density function of a high-dimensional nonlinear stochastic dynamical system via the probability density evolution method (2023)A decoupled approach for dete…Stochastic response determination of multi-dimensional nonlinear systems endowed with fractional derivative elements by the GE-GDEE (2022)Stochastic response determina…An active-learning reliability method based on support vector regression and cross validation (2022)An active-learning reliabilit…Probabilistic Theory of Structural Dynamics (1976)STOCHASTIC DIFFERENTIAL EQUATIONS: THEORY AND APPLICATIONS (1976)Stochastic Differential Equations: Theory and Applications. (1976)Nonstationary Stochastic Response Determination of Nonlinear Systems: A Wiener Path Integral Formalism (2014)Galerkin Scheme-Based Determination of Survival Probability of Oscillators With Fractional Derivative Elements (2016)Dynamic reliability analysis using the extended support vector regression (X-SVR) (2019)Simulation and the Monte Carlo Method (1981)The stochastic finite element method: Past, present and future (2008)A combined Importance Sampling and Kriging reliability method for small failure probabilities with time-demanding numerical models (2012)The generalization of Latin hypercube sampling (2015)Simulation and the Monte Carlo Method (2016)A new adaptive importance sampling scheme for reliability calculations (1999)Application of line sampling simulation method to reliability benchmark problems (2006)Subset simulation for structural reliability sensitivity analysis (2008)Active learning for structural reliability: Survey, general framework and benchmark (2022)Exact and Invariant Second-Moment Code Format (1974)Structural Reliability Methods (1996)Advances of the probability density evolution method for nonlinear stochastic systems (2011)A Nested Extreme Response Surface Approach for Time-Dependent Reliability-Based Design Optimization (2012)Random function based spectral representation of stationary and non-stationary stochastic processes (2016)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (1979)Design and Analysis of Computer Experiments (1989)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)Epistemic uncertainty-based reliability analysis for engineering system with hybrid evidence and fuzzy variables (2019)Non-intrusive stochastic analysis with parameterized imprecise probability models: I. Performance estimation (2019)Non-intrusive stochastic analysis with parameterized imprecise probability models: II. Reliability and rare events analysis (2019)Stochastic Finite Elements: A Spectral Approach (1991)Reliability of Structures (2012)Structural Reliability Analysis and Prediction (2017)System reliability analyses of static and dynamic structures via direct probability integral method (2021)An expected integrated error reduction function for accelerating Bayesian active learning of failure probability (2022)Parallel adaptive Bayesian quadrature for rare event estimation (2022)On the numerical solution of the Fokker-Planck equation for nonlinear stochastic systems (1993)The extreme value distribution and dynamic reliability analysis of nonlinear structures with uncertain parameters (2006)Nonlinear Vibration Models for Extremes and Fatigue (1988)The dynamics of speculative behaviour (1992)Response statistics of nonlinear, compliant offshore structures by the path integral solution method (1993)Simulation of Ergodic Multivariate Stochastic Processes (1996)Fast Numerical Methods for Stochastic Computations: A Review (2009)A single-loop strategy for time-variant system reliability analysis under multiple failure modes (2020)Time-variant reliability analysis for industrial robot RV reducer under multiple failure modes using Kriging model (2020)Time-variant system reliability analysis method for a small failure probability problem (2020)
this work references cited by second hop

References

  • 1976Method for Random Vibration of Hysteretic Systems2,686 cited
  • 2001Estimation of small failure probabilities in high dimensions by subset simulation2,419 cited
  • 1991Simulation of Stochastic Processes by Spectral Representation1,379 cited
  • 1986Stochastic averaging: An approximate method of solving random vibration problems577 cited
  • 2006The equivalent extreme-value event and evaluation of the structural system reliability447 cited
  • 2004Reliability of structures in high dimensions, part I: algorithms and applications370 cited
  • 2021A unified analysis framework of static and dynamic structural reliabilities based on direct probability integral method137 cited
  • 2017Structural reliability analysis for p-boxes using multi-level meta-models110 cited
  • 2012Response and First-Passage Statistics of Nonlinear Oscillators via a Numerical Path Integral Approach101 cited
  • 1959Reliability of Aircraft Structures in Resisting Chance Failure100 cited
  • 1983Gaussian Outcrossings from Safe Convex Polyhedrons95 cited

Cited by

  • 2023A decoupled approach for determination of the joint probability density function of a high-dimensional nonlinear stochastic dynamical system via the probability density evolution method71 cited
  • 2023Refined probabilistic response and seismic reliability evaluation of high-rise reinforced concrete structures via physically driven dimension-reduced probability density evolution equation

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

49 cited
  • 2024Simulation-free reliability analysis with importance sampling-based adaptive training physics-informed neural networks: Method and application to chloride penetration37 cited
  • 2022An active-learning reliability method based on support vector regression and cross validation36 cited
  • 2022Stochastic response determination of multi-dimensional nonlinear systems endowed with fractional derivative elements by the GE-GDEE36 cited
  • 2025First excursion probability of dynamical systems: A review on computational methods32 cited
  • 2024Structural reliability analysis with extremely small failure probabilities: A quasi-Bayesian active learning method29 cited
  • 2024Probabilistic response determination of high-dimensional nonlinear dynamical systems enforced by parametric multiple Poisson white noises29 cited
  • 2023Relaxation-based importance sampling for structural reliability analysis27 cited
  • 2024High-efficient non-iterative reliability-based design optimization based on the design space virtually conditionalized reliability evaluation method27 cited
  • 2024Dynamic reliability analysis of Aerial Building Machine under extreme wind loads using improved QBDC-based active learning26 cited
  • 2024A physics and data co-driven surrogate modeling method for high-dimensional rare event simulation24 cited
  • 2025Efficient stochastic response analysis of high-dimensional nonlinear systems subject to multiplicative noise via the DR-PDEE20 cited
  • 2025Structural design optimization under stochastic excitations considering first-passage probability constraint based on dimension-reduced probability density evolution equation20 cited
  • 2024Efficient reliability analysis of stochastic dynamic first-passage problems by probability density evolution analysis with subset supported point selection19 cited
  • 2023One-step look-ahead policy for active learning reliability analysis19 cited