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Bayesian neural network based probability density evolution approach for efficient structural reliability analysis
16 references·0 citing·39 second hop
Bayesian neural network based probability density evolution approach for efficient structural reliability analysis (2025)Bayesian neural network based probability…An active-learning algorithm that combines sparse polynomial chaos expansions and bootstrap for structural reliability analysis (2018)An active-learning algorithm …Review and application of Artificial Neural Networks models in reliability analysis of steel structures (2014)Review and application of Art…Structural reliability analysis based on the concepts of entropy, fractional moment and dimensional reduction method (2013)Structural reliability analys…Assessing small failure probabilities by combined subset simulation and Support Vector Machines (2011)Assessing small failure proba…Stochastic Dynamics of Structures (2009)Stochastic Dynamics of Struct…The principle of preservation of probability and the generalized density evolution equation (2006)The principle of preservation…The equivalent extreme-value event and evaluation of the structural system reliability (2006)The equivalent extreme-value …Probability density evolution method for dynamic response analysis of structures with uncertain parameters (2004)Probability density evolution…A univariate dimension-reduction method for multi-dimensional integration in stochastic mechanics (2004)A univariate dimension-reduct…Reliability Assessment Using Stochastic Finite Element Analysis (2001)Reliability Assessment Using …Estimation of small failure probabilities in high dimensions by subset simulation (2001)Estimation of small failure p…Efficient path integration methods for nonlinear dynamic systems (2000)Efficient path integration me…On the numerical solution of the Fokker-Planck equation for nonlinear stochastic systems (1993)On the numerical solution of …A benchmark study on importance sampling techniques in structural reliability (1993)A benchmark study on importan…Probabilistic Theory of Structural Dynamics (1976)Probabilistic Theory of Struc…Monte Carlo solution of structural dynamics (1972)Monte Carlo solution of struc…Simulation and the Monte Carlo Method (1981)The stochastic finite element method: Past, present and future (2008)A combined Importance Sampling and Kriging reliability method for small failure probabilities with time-demanding numerical models (2012)The generalization of Latin hypercube sampling (2015)Simulation and the Monte Carlo Method (2016)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (1979)Stochastic Finite Elements: A Spectral Approach (1991)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)A generalized dimension‐reduction method for multidimensional integration in stochastic mechanics (2004)A survey on approaches for reliability-based optimization (2010)Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles (2011)Exact and 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and Subset Simulation (2016)LIF: A new Kriging based learning function and its application to structural reliability analysis (2016)Method for Random Vibration of Hysteretic Systems (1976)Structural Reliability Methods (1996)Advances of the probability density evolution method for nonlinear stochastic systems (2011)A Nested Extreme Response Surface Approach for Time-Dependent Reliability-Based Design Optimization (2012)Random function based spectral representation of stationary and non-stationary stochastic processes (2016)Probabilistic Structural Dynamics: Advanced Theory and Applications (1967)The stochastic finite-element method (1980)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)Random field finite elements (1986)Nonlinear Vibration Models for Extremes and Fatigue (1988)A nonparametric model of random uncertainties for reduced matrix models in structural dynamics (2000)A survey of non-probabilistic uncertainty treatment in finite element analysis (2004)Assessment of the efficiency of Kriging surrogate models for structural reliability analysis (2014)Reliability analysis of structures by iterative improved response surface method (2016)
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References

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  • 1976Probabilistic Theory of Structural Dynamics1,398 cited
  • 2009Stochastic Dynamics of Structures923 cited
  • 1972Monte Carlo solution of structural dynamics629 cited
  • 2004A univariate dimension-reduction method for multi-dimensional integration in stochastic mechanics568 cited
  • 2006The principle of preservation of probability and the generalized density evolution equation517 cited
  • 2001Reliability Assessment Using Stochastic Finite Element Analysis472 cited
  • 2006The equivalent extreme-value event and evaluation of the structural system reliability447 cited
  • 2011Assessing small failure probabilities by combined subset simulation and Support Vector Machines419 cited
  • 2014Review and application of Artificial Neural Networks models in reliability analysis of steel structures392 cited
  • 1993A benchmark study on importance sampling techniques in structural reliability380 cited
  • 2004Probability density evolution method for dynamic response analysis of structures with uncertain parameters368 cited
  • 2013Structural reliability analysis based on the concepts of entropy, fractional moment and dimensional reduction method309 cited
  • 2018An active-learning algorithm that combines sparse polynomial chaos expansions and bootstrap for structural reliability analysis

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308 cited
  • 1993On the numerical solution of the Fokker-Planck equation for nonlinear stochastic systems289 cited
  • 2000Efficient path integration methods for nonlinear dynamic systems250 cited
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