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An efficient analytical Bayesian method for reliability and system response updating based on Laplace and inverse first-order reliability computations
16 references·8 citing·26 second hop
An efficient analytical Bayesian method for reliability and system response updating based on Laplace and inverse first-order reliability computations (2011)An efficient analytical Bayesian method f…Structural Reliability Analysis and Prediction (2017)Structural Reliability Analys…Inverse analysis method using MPP-based dimension reduction for reliability-based design optimization of nonlinear and multi-dimensional systems (2008)Inverse analysis method using…Computational methods for model reliability assessment (2007)Computational methods for mod…Methods of structural safety (2006)Methods of structural safetyBenchmark study on reliability estimation in higher dimensions of structural systems – An overview (2006)Benchmark study on reliabilit…An Integrated Framework for Optimization Under Uncertainty Using Inverse Reliability Strategy (2004)An Integrated Framework for O…Reliability analysis—a review and some perspectives (2001)Reliability analysis—a review…Probability, Reliability and Statistical Methods in Engineering Design (2001)Probability, Reliability and …Probability, reliability and statistical methods in engineering design (1999)Probability, reliability and …A general procedure for first/second-order reliabilitymethod (FORM/SORM) (1999)A general procedure for first…Multiple design points in first and second-order reliability (1998)Multiple design points in fir…Refined second-order reliability analysis (1994)Refined second-order reliabil…Inverse Reliability Problem (1994)Inverse Reliability ProblemA fast and efficient response surface approach for structural reliability problems (1990)A fast and efficient response…Structural reliability under combined random load sequences (1978)Structural reliability under …Exact and Invariant Second-Moment Code Format (1974)Exact and Invariant Second-Mo…Sparse moment quadrature for uncertainty modeling and quantification (2023)Sparse moment quadrature for …An information reuse-based method for reliability updating (2023)An information reuse-based me…A moment quadrature method for uncertainty quantification of three-dimensional crack propagation via extremely few model runs (2023)A moment quadrature method fo…Physics-guided mixture density networks for uncertainty quantification (2022)Physics-guided mixture densit…An asymptotic stochastic response surface approach to reliability assessment under multi-source heterogeneous uncertainties (2021)An asymptotic stochastic resp…Probability assessments of identified parameters for stochastic structures using point estimation method (2016)Probability assessments of id…Improve the Accuracy of Asymptotic Approximation in Reliability Problems Involving Multimodal Distributions (2016)Improve the Accuracy of Asymp…Inverse structural reliability analysis under mixed uncertainties using high dimensional model representation and fast Fourier transform (2012)Inverse structural reliabilit…A critical appraisal of reliability estimation procedures for high dimensions (2004)Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles (2011)Metamodel-based importance sampling for structural reliability analysis (2013)The Logic of Scientific Discovery (2013)Methods of structural safety (1987)Structural Reliability Methods (1996)First excursion probabilities for linear systems by very efficient importance sampling (2001)Important sampling in high dimensions (2002)Review and application of Artificial Neural Networks models in reliability analysis of steel structures (2014)A new look at the response surface approach for reliability analysis (1993)Response Surface Methodology (1996)Moment methods for structural reliability (2001)Application of kriging method to structural reliability problems (2004)Uncertainties in risk analysis: Six levels of treatment (1996)Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design (2004)Narrow Reliability Bounds for Structural Systems (1979)Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems (2003)Optimization algorithms for structural reliability (1991)A New Study on Reliability-Based Design Optimization (1999)Efficient Global Reliability Analysis for Nonlinear Implicit Performance Functions (2008)Measures of agreement between computation and experiment: Validation metrics (2006)Adaptive Designs of Experiments for Accurate Approximation of a Target Region (2010)DAKOTA : a multilevel parallel object-oriented framework for design optimization, parameter estimation, uncertainty quantification, and sensitivity analysis. Version 5.0, user's manual. (2010)Reliability analysis using object-oriented constrained optimization (2003)Evaluation of failure probability via surrogate models (2010)Verification, validation, and predictive capability in computational engineering and physics (2004)
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References

  • 2017Structural Reliability Analysis and Prediction3,780 cited
  • 1974Exact and Invariant Second-Moment Code Format3,138 cited
  • 1978Structural reliability under combined random load sequences2,229 cited
  • 2006Methods of structural safety1,835 cited
  • 1999Probability, reliability and statistical methods in engineering design1,377 cited
  • 1990A fast and efficient response surface approach for structural reliability problems1,198 cited
  • 2001Probability, Reliability and Statistical Methods in Engineering Design847 cited
  • 2001Reliability analysis—a review and some perspectives775 cited
  • 1999A general procedure for first/second-order reliabilitymethod (FORM/SORM)487 cited
  • 1998Multiple design points in first and second-order reliability385 cited
  • 2004An Integrated Framework for Optimization Under Uncertainty Using Inverse Reliability Strategy272 cited
  • 2006Benchmark study on reliability estimation in higher dimensions of structural systems – An overview220 cited
  • 2008Inverse analysis method using MPP-based dimension reduction for reliability-based design optimization of nonlinear and multi-dimensional systems186 cited
  • 1994Inverse Reliability Problem179 cited
  • 1994Refined second-order reliability analysis

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165 cited
  • 2007Computational methods for model reliability assessment136 cited
  • Cited by

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    • 2021An asymptotic stochastic response surface approach to reliability assessment under multi-source heterogeneous uncertainties38 cited
    • 2016Improve the Accuracy of Asymptotic Approximation in Reliability Problems Involving Multimodal Distributions32 cited
    • 2012Inverse structural reliability analysis under mixed uncertainties using high dimensional model representation and fast Fourier transform25 cited
    • 2023Sparse moment quadrature for uncertainty modeling and quantification12 cited
    • 2023An information reuse-based method for reliability updating10 cited
    • 2023A moment quadrature method for uncertainty quantification of three-dimensional crack propagation via extremely few model runs9 cited