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The use of updated robust reliability measures in stochastic dynamical systems
9 references·6 citing·35 second hop
The use of updated robust reliability measures in stochastic dynamical systems (2013)The use of updated robust reliability mea…Random Vibrations: Analysis of Structural and Mechanical Systems (2011)Random Vibrations: Analysis o…Bayesian post-processor and other enhancements of Subset Simulation for estimating failure probabilities in high dimensions (2011)Bayesian post-processor and o…Reliability-based optimization of stochastic systems using line search (2009)Reliability-based optimizatio…Application of line sampling simulation method to reliability benchmark problems (2006)Application of line sampling …Reliability estimation for dynamical systems subject to stochastic excitation using subset simulation with splitting (2004)Reliability estimation for dy…First excursion probabilities for linear systems by very efficient importance sampling (2001)First excursion probabilities…Estimation of small failure probabilities in high dimensions by subset simulation (2001)Estimation of small failure p…Random vibration of mechanical and structural systems (1993)Random vibration of mechanica…Random Vibration of Mechanical and Structural Systems (1992)Random Vibration of Mechanica…First excursion probability of dynamical systems: A review on computational methods (2025)First excursion probability o…An efficient Bayesian updating framework for characterizing the posterior failure probability (2024)An efficient Bayesian updatin…New perspective on reliability updating with equality information under line sampling (2023)New perspective on reliabilit…Bayesian updating of reliability by cross entropy-based importance sampling (2023)Bayesian updating of reliabil…A robust method for reliability updating with equality information using sequential adaptive importance sampling (2023)A robust method for reliabili…Non-Probabilistic Robust Equilibrium Optimization of Complex Uncertain Structures (2019)Non-Probabilistic Robust Equi…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)Stochastic Approximation and Recursive Algorithms and Applications (2003)INTRODUCTION TO STOCHASTIC SEARCH AND OPTIMIZATION: ESTIMATION, SIMULATION, AND CONTROL (2012)Reliability assessment in structural dynamics (2013)AK-DS: An adaptive Kriging-based directional sampling method for reliability analysis (2021)Reliability-based design optimization of structural systems under stochastic excitation: An overview (2021)A new adaptive importance sampling scheme for reliability calculations (1999)A critical appraisal of reliability estimation procedures for high dimensions (2004)Benchmark study on reliability estimation in higher dimensions of structural systems – An overview (2006)Hybrid enhanced Monte Carlo simulation coupled with advanced machine learning approach for accurate and efficient structural reliability analysis (2021)Monte Carlo and variance reduction methods for structural reliability analysis: A comprehensive review (2023)Reliability of structures in high dimensions, part I: algorithms and applications (2004)Structural Reliability Analysis and Prediction (2017)An active learning reliability method combining Kriging constructed with exploration and exploitation of failure region and subset simulation (2019)An efficient Kriging-based subset simulation method for hybrid reliability analysis under random and interval variables with small failure probability (2019)Modeling, analysis, and optimization under uncertainties: a review (2021)Importance sampling in structural systems (1989)Local estimation of failure probability function and its confidence interval with maximum entropy principle (2006)Matlab codes of Subset Simulation for reliability analysis and structural optimization (2016)A unified analysis framework of static and dynamic structural reliabilities based on direct probability integral method (2021)Probabilistic Theory of Structural Dynamics (1976)Dynamic response and reliability analysis of non-linear stochastic structures (2004)Reliability engineering (2011)The principle of preservation of probability and the generalized density evolution equation (2006)AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)Advances of the probability density evolution method for nonlinear stochastic systems (2011)Stochastic Dynamics of Marine Structures (2012)Time-dependent reliability analysis with joint upcrossing rates (2013)Simulation of Ergodic Multivariate Stochastic Processes (1996)A nonparametric model of random uncertainties for reduced matrix models in structural dynamics (2000)An analytical Wiener path integral technique for non-stationary response determination of nonlinear oscillators (2011)
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References

  • 2001Estimation of small failure probabilities in high dimensions by subset simulation2,419 cited
  • 1992Random Vibration of Mechanical and Structural Systems493 cited
  • 2011Random Vibrations: Analysis of Structural and Mechanical Systems473 cited
  • 1993Random vibration of mechanical and structural systems464 cited
  • 2006Application of line sampling simulation method to reliability benchmark problems292 cited
  • 2001First excursion probabilities for linear systems by very efficient importance sampling282 cited
  • 2011Bayesian post-processor and other enhancements of Subset Simulation for estimating failure probabilities in high dimensions213 cited
  • 2004Reliability estimation for dynamical systems subject to stochastic excitation using subset simulation with splitting135 cited
  • 2009Reliability-based optimization of stochastic systems using line search105 cited

Cited by

  • 2025First excursion probability of dynamical systems: A review on computational methods32 cited
  • 2023A robust method for reliability updating with equality information using sequential adaptive importance sampling19 cited
  • 2024An efficient Bayesian updating framework for characterizing the posterior failure probability18 cited
  • 2023Bayesian updating of reliability by cross entropy-based importance sampling14 cited
  • 2023

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New perspective on reliability updating with equality information under line sampling
13 cited
  • 2019Non-Probabilistic Robust Equilibrium Optimization of Complex Uncertain Structures13 cited