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Time-variant reliability analysis using stratified Beta-sphere sampling and active learning
16 references·0 citing·34 second hop
Time-variant reliability analysis using stratified Beta-sphere sampling and active learning (2025)Time-variant reliability analysis using s…A new learning function for Kriging and its applications to solve reliability problems in engineering (2015)A new learning function for K…AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)AK-MCS: An active learning re…A comprehensive framework for verification, validation, and uncertainty quantification in scientific computing (2011)A comprehensive framework for…Efficient Global Reliability Analysis for Nonlinear Implicit Performance Functions (2008)Efficient Global Reliability …Analytical derivation of the outcrossing rate in time-variant reliability problems (2008)Analytical derivation of the …Extreme Value Theory: An Introduction (2007)Extreme Value Theory: An Intr…The principle of preservation of probability and the generalized density evolution equation (2006)The principle of preservation…The extreme value distribution and dynamic reliability analysis of nonlinear structures with uncertain parameters (2006)The extreme value distributio…Application of kriging method to structural reliability problems (2004)Application of kriging method…The PHI2 method: a way to compute time-variant reliability (2003)The PHI2 method: a way to com…Estimation of small failure probabilities in high dimensions by subset simulation (2001)Estimation of small failure p…Directional methods for structural reliability analysis (2000)Directional methods for struc…Optimal Discretization of Random Fields (1993)Optimal Discretization of Ran…A new look at the response surface approach for reliability analysis (1993)A new look at the response su…A 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)Response Surface Methodology (1996)Moment methods for structural reliability (2001)A combined Importance Sampling and Kriging reliability method for small failure probabilities with time-demanding numerical models (2012)Structural Reliability Analysis and Prediction (2017)Simulation and the Monte Carlo Method (1981)The stochastic finite element method: Past, present and future (2008)The generalization of Latin hypercube sampling (2015)Simulation and the Monte Carlo Method (2016)Stochastic Finite Elements: A Spectral Approach (1991)Structural Reliability Methods (1996)Kriging metamodeling in simulation: A review (2007)Metamodel-based importance sampling for structural reliability analysis (2013)LIF: A new Kriging based learning function and its application to structural reliability analysis (2016)On the Experimental Attainment of Optimum Conditions (1951)On the Experimental Attainment of Optimum Conditions (1992)Support vector machine in structural reliability analysis: A review (2023)Structural Reliability under Incomplete Probability Information (1986)Uncertainties in probabilistic numerical analysis of structures and solids-Stochastic finite elements (1997)Convergence study of the truncated Karhunen–Loeve expansion for simulation of stochastic processes (2001)Probabilistic Structural Dynamics: Advanced Theory and Applications (1967)The stochastic finite-element method (1980)Advances of the probability density evolution method for nonlinear stochastic systems (2011)Probability density evolution method: Background, significance and recent developments (2015)Direct probability integral method for stochastic response analysis of static and dynamic structural systems (2019)A mathematical theory of evidence (1977)Verification and Validation in Computational Science and Engineering (1998)Integration of model verification, validation, and calibration for uncertainty quantification in engineering systems (2015)Adaptive kriging-based efficient reliability method for structural systems with multiple failure modes and mixed variables (2019)Modeling, analysis, and optimization under uncertainties: a review (2021)Designs for Computer Experiments (1989)Probability, reliability and statistical methods in engineering design (1999)DAKOTA : a multilevel parallel object-oriented framework for design optimization, parameter estimation, uncertainty quantification, and sensitivity analysis. Version 5.0, user's manual. (2010)Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems (2003)
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References

  • 2001Estimation of small failure probabilities in high dimensions by subset simulation2,419 cited
  • 1978Structural reliability under combined random load sequences2,229 cited
  • 2011AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation2,048 cited
  • 1990A fast and efficient response surface approach for structural reliability problems1,198 cited
  • 2008Efficient Global Reliability Analysis for Nonlinear Implicit Performance Functions1,141 cited
  • 2011A comprehensive framework for verification, validation, and uncertainty quantification in scientific computing810 cited
  • 1993A new look at the response surface approach for reliability analysis733 cited
  • 1993Optimal Discretization of Random Fields728 cited
  • 2004Application of kriging method to structural reliability problems709 cited
  • 2006The principle of preservation of probability and the generalized density evolution equation517 cited
  • 2007Extreme Value Theory: An Introduction513 cited
  • 2003The PHI2 method: a way to compute time-variant reliability460 cited
  • 2015A new learning function for Kriging and its applications to solve reliability problems in engineering400 cited
  • 2006The extreme value distribution and dynamic reliability analysis of nonlinear structures with uncertain parameters

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352 cited
  • 2008Analytical derivation of the outcrossing rate in time-variant reliability problems326 cited
  • 2000Directional methods for structural reliability analysis278 cited
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