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An improved reliability analysis approach based on combined FORM and Beta-spherical importance sampling in critical region
16 references·6 citing·47 second hopsampled
An improved reliability analysis approach based on combined FORM and Beta-spherical importance sampling in critical region (2019)An improved reliability analysis approach…Sequential importance sampling for structural reliability analysis (2016)Sequential importance samplin…LIF: A new Kriging based learning function and its application to structural reliability analysis (2016)LIF: A new Kriging based lear…A new learning function for Kriging and its applications to solve reliability problems in engineering (2015)A new learning function for K…Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles (2011)Review of uncertainty-based m…Assessing small failure probabilities by combined subset simulation and Support Vector Machines (2011)Assessing small failure proba…AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)AK-MCS: An active learning re…Polynomial chaos expansion for sensitivity analysis (2008)Polynomial chaos expansion fo…Survey of sampling-based methods for uncertainty and sensitivity analysis (2006)Survey of sampling-based meth…CQ2RS: a new statistical approach to the response surface method for reliability analysis (2002)CQ2RS: a new statistical appr…Effect of response surface parameter variation on structural reliability estimates (2001)Effect of response surface pa…A new adaptive importance sampling scheme for reliability calculations (1999)A new adaptive importance sam…Multiple design points in first and second-order reliability (1998)Multiple design points in fir…A benchmark study on importance sampling techniques in structural reliability (1993)A benchmark study on importan…An efficient sampling method for probability of failure calculation (1986)An efficient sampling method …First-order concepts in system reliability (1982)First-order concepts in syste…Methods of Reducing Sample Size in Monte Carlo Computations (1953)Methods of Reducing Sample Si…An improved adaptive Kriging model-based metamodel importance sampling reliability analysis method (2024)An improved adaptive Kriging …Parameterized coefficient fine-tuning-based polynomial chaos expansion method for sphere-biconic reentry vehicle reliability analysis and design (2023)Parameterized coefficient fin…An improved adaptive Kriging model for importance sampling reliability and reliability global sensitivity analysis (2023)An improved adaptive Kriging …Estimation of Small Failure Probability Based on Adaptive Subset Simulation and Deep Neural Network (2022)Estimation of Small Failure P…ESLA: a new surrogate-assisted single-loop reliability-based design optimization technique (2021)ESLA: a new surrogate-assiste…ERGO: A New Robust Design Optimization Technique Combining Multi-Objective Bayesian Optimization With Analytical Uncertainty Quantification (2021)ERGO: A New Robust Design Opt…Structural reliability under combined random load sequences (1978)Stochastic Finite Elements: A Spectral Approach (1991)Estimation of small failure probabilities in high dimensions by subset simulation (2001)Adaptive approaches in metamodel-based reliability analysis: A review (2020)Machine learning-based methods in structural reliability analysis: A review (2021)Active learning for structural reliability: Survey, general framework and benchmark (2022)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)Methods of structural safety (2006)Review and application of Artificial Neural Networks models in reliability analysis of steel structures (2014)Narrow Reliability Bounds for Structural Systems (1979)Non-Normal Dependent Vectors in Structural Safety (1981)New light on first- and second-order reliability methods (1987)Efficient surrogate models for reliability analysis of systems with multiple failure modes (2011)AK-SYS: An adaptation of the AK-MCS method for system reliability (2013)Simulation and the Monte Carlo Method (1981)Optimization algorithms for structural reliability (1991)Metamodel-based importance sampling for structural reliability analysis (2013)MCMC algorithms for Subset Simulation (2015)Simulation and the Monte Carlo Method (2016)Design and Analysis of Computer Experiments (1989)Response Surface Methodology (1996)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)How to avoid a perfunctory sensitivity analysis (2010)A Review on Global Sensitivity Analysis Methods (2015)The generalization of Latin hypercube sampling (2015)Kriging metamodeling in simulation: A review (2007)A combined Importance Sampling and Kriging reliability method for small failure probabilities with time-demanding numerical models (2012)Fuzzy sets (1965)Fuzzy sets (1996)Global Sensitivity Analysis. The Primer (2007)Engineering Design with Digital Thread (2018)A Comparative Study of Metaheuristic Algorithms for Reliability-Based Design Optimization Problems (2020)A novel Kriging-model-assisted reliability-based multidisciplinary design optimization strategy and its application in the offshore wind turbine tower (2022)Reliability analysis—a review and some perspectives (2001)A critical appraisal of reliability estimation procedures for high dimensions (2004)Assessing small failure probabilities by AK–SS: An active learning method combining Kriging and Subset Simulation (2016)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems (2003)Data-driven uncertainty quantification using the arbitrary polynomial chaos expansion (2012)Stochastic analysis of the fracture toughness of polymeric nanoparticle composites using polynomial chaos expansions (2017)Sensitivity and uncertainty analysis for flexoelectric nanostructures (2018)The intrinsic random functions and their applications (1973)A new adaptive sequential sampling method to construct surrogate models for efficient reliability analysis (2017)REIF: A novel active-learning function toward adaptive Kriging surrogate models for structural reliability analysis (2019)
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References

  • 2011AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation2,048 cited
  • 2006Survey of sampling-based methods for uncertainty and sensitivity analysis1,240 cited
  • 2008Polynomial chaos expansion for sensitivity analysis747 cited
  • 1999A new adaptive importance sampling scheme for reliability calculations564 cited
  • 1982First-order concepts in system reliability522 cited
  • 2011Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles516 cited
  • 2016LIF: A new Kriging based learning function and its application to structural reliability analysis444 cited
  • 2011Assessing small failure probabilities by combined subset simulation and Support Vector Machines419 cited
  • 2015A new learning function for Kriging and its applications to solve reliability problems in engineering400 cited
  • 1998Multiple design points in first and second-order reliability385 cited
  • 1993A benchmark study on importance sampling techniques in structural reliability380 cited
  • 1953Methods of Reducing Sample Size in Monte Carlo Computations319 cited
  • 2016Sequential importance sampling for structural reliability analysis267 cited
  • 1986An efficient sampling method for probability of failure calculation254 cited

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  • 2001Effect of response surface parameter variation on structural reliability estimates235 cited
  • 2002CQ2RS: a new statistical approach to the response surface method for reliability analysis208 cited
  • Cited by

    • 2023An improved adaptive Kriging model for importance sampling reliability and reliability global sensitivity analysis20 cited
    • 2021ERGO: A New Robust Design Optimization Technique Combining Multi-Objective Bayesian Optimization With Analytical Uncertainty Quantification14 cited
    • 2022Estimation of Small Failure Probability Based on Adaptive Subset Simulation and Deep Neural Network14 cited
    • 2024An improved adaptive Kriging model-based metamodel importance sampling reliability analysis method12 cited
    • 2021ESLA: a new surrogate-assisted single-loop reliability-based design optimization technique12 cited
    • 2023Parameterized coefficient fine-tuning-based polynomial chaos expansion method for sphere-biconic reentry vehicle reliability analysis and design11 cited