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Interval importance sampling method for finite element-based structural reliability assessment under parameter uncertainties
16 references·16 citing·37 second hopsampled
Interval importance sampling method for finite element-based structural reliability assessment under parameter uncertainties (2012)Interval importance sampling method for f…Structural Reliability Analysis and Prediction (2017)Structural Reliability Analys…Interval Monte Carlo methods for structural reliability (2010)Interval Monte Carlo methods …Analysis of structural reliability under parameter uncertainties (2008)Analysis of structural reliab…Aleatory or epistemic? Does it matter? (2008)Aleatory or epistemic? Does i…Using random set theory to propagate epistemic uncertainty through a mechanical system (2004)Using random set theory to pr…Summary from the epistemic uncertainty workshop: consensus amid diversity (2004)Summary from the epistemic un…Challenge problems: uncertainty in system response given uncertain parameters (2004)Challenge problems: uncertain…A survey of non-probabilistic uncertainty treatment in finite element analysis (2004)A survey of non-probabilistic…Constructing Probability Boxes and Dempster-Shafer Structures (2003)Constructing Probability Boxe…Reliability Assessment Using Stochastic Finite Element Analysis (2001)Reliability Assessment Using …ANALYSIS OF MECHANICAL SYSTEMS USING INTERVAL COMPUTATIONS APPLIED TO FINITE ELEMENT METHODS (2001)ANALYSIS OF MECHANICAL SYSTEM…Reliability Assessment Using Stochastic Finite Element Analysis (2000)Reliability Assessment Using …Fuzzy structural analysis using α-level optimization (2000)Fuzzy structural analysis usi…A new adaptive importance sampling scheme for reliability calculations (1999)A new adaptive importance sam…Interval Algebra to Deal with Pattern Loading and Structural Uncertainties (1995)Interval Algebra to Deal with…Search-based importance sampling (1990)Search-based importance sampl…Augmented first-order reliability method for estimating fuzzy failure probabilities (2023)Augmented first-order reliabi…An efficient extreme value moment method combining adaptive Kriging model for time-variant imprecise reliability analysis (2022)An efficient extreme value mo…Estimation of Failure Probability Function under Imprecise Probabilities by Active Learning–Augmented Probabilistic Integration (2021)Estimation of Failure Probabi…Operator norm theory as an efficient tool to propagate hybrid uncertainties and calculate imprecise probabilities (2020)Operator norm theory as an ef…A Systematic Review of Structural Reliability Methods for Deformation and Fatigue Analysis of Offshore Jacket Structures (2020)A Systematic Review of Struct…Fuzzy failure probability estimation applying intervening variables (2019)Fuzzy failure probability est…A combined Importance Sampling and active learning Kriging reliability method for small failure probability with random and correlated interval variables (2019)A combined Importance Samplin…Computing tight bounds of structural reliability under imprecise probabilistic information (2018)Computing tight bounds of str…Uncertainty analysis for structures with hybrid random and interval parameters using mathematical programming approach (2017)Uncertainty analysis for stru…Uncertainty analysis of a structural–acoustic problem using imprecise probabilities based on p-box representations (2016)Uncertainty analysis of a str…Probability box as a tool to model and control the effect of epistemic uncertainty in multiple dependent competing failure processes (2016)Probability box as a tool to …Reliability analysis of structures with interval uncertainties under stationary stochastic excitations (2015)Reliability analysis of struc…Robust optimal design of tuned mass dampers for tall buildings with uncertain parameters (2014)Robust optimal design of tune…Robust assessment of collapse resistance of structures under uncertain loads based on Info-Gap model (2014)Robust assessment of collapse…Hybrid reliability analysis with both random and probability-box variables (2014)Hybrid reliability analysis w…Transformed perturbation stochastic finite element method for static response analysis of stochastic structures (2013)Transformed perturbation stoc…Judgment Under Uncertainty: Heuristics and Biases. 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(1960)Structural Reliability Methods (1996)Logic of Scientific Discovery, The (2010)Reliability-based design optimization using kriging surrogates and subset simulation (2011)Variable importance analysis: A comprehensive review (2015)Reliability analysis—a review and some perspectives (2001)Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design (2004)Recent Trends in the Modeling and Quantification of Non-probabilistic Uncertainty (2019)Assessment of the efficiency of Kriging surrogate models for structural reliability analysis (2014)Reliability analysis of structures by iterative improved response surface method (2016)Comparison of response surface and neural network with other methods for structural reliability analysis (2003)
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References

  • 2017Structural Reliability Analysis and Prediction3,780 cited
  • 2008Aleatory or epistemic? Does it matter?2,450 cited
  • 2003Constructing Probability Boxes and Dempster-Shafer Structures745 cited
  • 2004Challenge problems: uncertainty in system response given uncertain parameters570 cited
  • 1999A new adaptive importance sampling scheme for reliability calculations564 cited
  • 2000Reliability Assessment Using Stochastic Finite Element Analysis524 cited
  • 2001Reliability Assessment Using Stochastic Finite Element Analysis472 cited
  • 2004A survey of non-probabilistic uncertainty treatment in finite element analysis365 cited
  • 2000Fuzzy structural analysis using α-level optimization303 cited
  • 2010Interval Monte Carlo methods for structural reliability224 cited
  • 2008Analysis of structural reliability under parameter uncertainties184 cited
  • 2004Summary from the epistemic uncertainty workshop: consensus amid diversity146 cited
  • 1990Search-based importance sampling145 cited
  • 1995Interval Algebra to Deal with Pattern Loading and Structural Uncertainties111 cited
  • 2001ANALYSIS OF MECHANICAL SYSTEMS USING INTERVAL COMPUTATIONS APPLIED TO FINITE ELEMENT METHODS

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111 cited
  • 2004Using random set theory to propagate epistemic uncertainty through a mechanical system107 cited
  • Cited by

    • 2015Reliability analysis of structures with interval uncertainties under stationary stochastic excitations69 cited
    • 2020A Systematic Review of Structural Reliability Methods for Deformation and Fatigue Analysis of Offshore Jacket Structures63 cited
    • 2014Hybrid reliability analysis with both random and probability-box variables63 cited
    • 2021Estimation of Failure Probability Function under Imprecise Probabilities by Active Learning–Augmented Probabilistic Integration58 cited
    • 2020Operator norm theory as an efficient tool to propagate hybrid uncertainties and calculate imprecise probabilities56 cited
    • 2014Robust optimal design of tuned mass dampers for tall buildings with uncertain parameters44 cited
    • 2019A combined Importance Sampling and active learning Kriging reliability method for small failure probability with random and correlated interval variables43 cited
    • 2018Computing tight bounds of structural reliability under imprecise probabilistic information40 cited
    • 2013Transformed perturbation stochastic finite element method for static response analysis of stochastic structures38 cited
    • 2016Uncertainty analysis of a structural–acoustic problem using imprecise probabilities based on p-box representations37 cited
    • 2017Uncertainty analysis for structures with hybrid random and interval parameters using mathematical programming approach37 cited
    • 2022An efficient extreme value moment method combining adaptive Kriging model for time-variant imprecise reliability analysis34 cited
    • 2014Robust assessment of collapse resistance of structures under uncertain loads based on Info-Gap model33 cited
    • 2016Probability box as a tool to model and control the effect of epistemic uncertainty in multiple dependent competing failure processes32 cited
    • 2023Augmented first-order reliability method for estimating fuzzy failure probabilities28 cited
    • 2019Fuzzy failure probability estimation applying intervening variables25 cited