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A New Reliability Method Combining Kriging and Probability Density Evolution Method
16 references·3 citing·34 second hop
A New Reliability Method Combining Kriging and Probability Density Evolution Method (2017)A New Reliability Method Combining Krigin…A GF-discrepancy for point selection in stochastic seismic response analysis of structures with uncertain parameters (2015)A GF-discrepancy for point se…A combined Importance Sampling and Kriging reliability method for small failure probabilities with time-demanding numerical models (2012)A combined Importance Samplin…AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)AK-MCS: An active learning re…Advances of the probability density evolution method for nonlinear stochastic systems (2011)Advances of the probability d…Stochastic Dynamics of Structures (2009)Stochastic Dynamics of Struct…The Number Theoretical Method in Response Analysis of Nonlinear Stochastic Structures (2006)The Number Theoretical Method…The probability density evolution method for dynamic response analysis of non‐linear stochastic structures (2005)The probability density evolu…Comparison of finite element reliability methods (2002)Comparison of finite element …Monte Carlo Treatment of Random Fields: A Broad Perspective (1998)Monte Carlo Treatment of Rand…The stochastic finite element method: basic perturbation technique and computer implementation (1993)The stochastic finite element…On the Experimental Attainment of Optimum Conditions (1992)On the Experimental Attainmen…Polynomial Chaos in Stochastic Finite Elements (1990)Polynomial Chaos in Stochasti…A fast and efficient response surface approach for structural reliability problems (1990)A fast and efficient response…Method for Random Vibration of Hysteretic Systems (1976)Method for Random Vibration o…Digital simulation of random processes and its applications (1972)Digital simulation of random …On the Experimental Attainment of Optimum Conditions (1951)On the Experimental Attainmen…An efficient uncertainty propagation method for nonlinear dynamics with distribution-free P-box processes (2024)An efficient uncertainty prop…An efficient time-variant reliability analysis strategy embedding the NARX neural network of response characteristics prediction into probability density evolution method (2023)An efficient time-variant rel…A Chebyshev collocation based sequential matrix exponential method for the generalized density evolution equation (2021)A Chebyshev collocation based…Stochastic Finite Element Expansion for Random Media (1989)Uncertainties in probabilistic numerical analysis of structures and solids-Stochastic finite elements (1997)Probability density evolution method for dynamic response analysis of structures with uncertain parameters (2004)Efficient Sampling for Non-Intrusive Polynomial Chaos Applications with Multiple Uncertain Input Variables (2007)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)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)Structural reliability under combined random load sequences (1978)Estimation of small failure probabilities in high dimensions by subset simulation (2001)A new learning function for Kriging and its applications to solve reliability problems in engineering (2015)Assessing small failure probabilities by AK–SS: An active learning method combining Kriging and Subset Simulation (2016)Monte Carlo solution of structural dynamics (1972)Direct probability integral method for stochastic response analysis of static and dynamic structural systems (2019)A unified analysis framework of static and dynamic structural reliabilities based on direct probability integral method (2021)System reliability analyses of static and dynamic structures via direct probability integral method (2021)Design of Experiments (1936)THE DESIGN OF OPTIMUM MULTIFACTORIAL EXPERIMENTS (1946)Some New Three Level Designs for the Study of Quantitative Variables (1960)Sequential Application of Simplex Designs in Optimisation and Evolutionary Operation (1962)Response surface methodology (2010)On the numerical solution of the Fokker-Planck equation for nonlinear stochastic systems (1993)The equivalent extreme-value event and evaluation of the structural system reliability (2006)The extreme value distribution and dynamic reliability analysis of nonlinear structures with uncertain parameters (2006)Simulation of Ergodic Multivariate Stochastic Processes (1996)The stochastic finite element method: Past, present and future (2008)An Introduction to Computational Stochastic PDEs (2014)Random function based spectral representation of stationary and non-stationary stochastic processes (2016)Factorial Sampling Plans for Preliminary Computational Experiments (1991)
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References

  • 1951On the Experimental Attainment of Optimum Conditions4,621 cited
  • 1992On the Experimental Attainment of Optimum Conditions3,451 cited
  • 1976Method for Random Vibration of Hysteretic Systems2,686 cited
  • 2011AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation2,048 cited
  • 1972Digital simulation of random processes and its applications1,663 cited
  • 1990A fast and efficient response surface approach for structural reliability problems1,198 cited
  • 2009Stochastic Dynamics of Structures923 cited
  • 2012A combined Importance Sampling and Kriging reliability method for small failure probabilities with time-demanding numerical models692 cited
  • 1990Polynomial Chaos in Stochastic Finite Elements416 cited
  • 2015A GF-discrepancy for point selection in stochastic seismic response analysis of structures with uncertain parameters410 cited
  • 1993The stochastic finite element method: basic perturbation technique and computer implementation400 cited
  • 2002Comparison of finite element reliability methods258 cited
  • 2011Advances of the probability density evolution method for nonlinear stochastic systems247 cited
  • 1998Monte Carlo Treatment of Random Fields: A Broad Perspective225 cited

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2006
The Number Theoretical Method in Response Analysis of Nonlinear Stochastic Structures
220 cited
  • 2005The probability density evolution method for dynamic response analysis of non‐linear stochastic structures219 cited
  • Cited by

    • 2021A Chebyshev collocation based sequential matrix exponential method for the generalized density evolution equation12 cited
    • 2023An efficient time-variant reliability analysis strategy embedding the NARX neural network of response characteristics prediction into probability density evolution method10 cited
    • 2024An efficient uncertainty propagation method for nonlinear dynamics with distribution-free P-box processes10 cited