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Metamodeling of dynamic nonlinear structural systems through polynomial chaos NARX models
5 references·16 citing·43 second hop
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this work references cited by second hop

References

  • 2003Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems2,707 cited
  • 2009An adaptive algorithm to build up sparse polynomial chaos expansions for stochastic finite element analysis834 cited
  • 2004Physical Systems with Random Uncertainties: Chaos Representations with Arbitrary Probability Measure609 cited
  • 2010Time-dependent generalized polynomial chaos173 cited
  • 1998Adaptive polynomial chaos expansions applied to statistics of extremes in nonlinear random vibration106 cited

Cited by

  • 2018Stochastic dynamic analysis of twisted functionally graded plates80 cited
  • 2017A new uncertainty propagation method for problems with parameterized probability-boxes62 cited
  • 2017Performance of global metamodeling techniques in solution of structural reliability problems59 cited
  • 2022Uncertainty quantification of dynamical systems by a POD–Kriging surrogate model54 cited
  • 2017Surrogate Models for Oscillatory Systems Using Sparse Polynomial Chaos Expansions and Stochastic Time Warping52 cited
  • 2019Random dynamical system in time domain: A POD-PC model43 cited
  • 2020A Kriging–NARX Model for Uncertainty Quantification of Nonlinear Stochastic Dynamical Systems in Time Domain40 cited
  • 2021On generative models as the basis for digital twins32 cited
  • 2020

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Surrogate modeling for fast uncertainty quantification: Application to 2D population balance models
28 cited
  • 2020Uncertainty Quantification of Stochastic Impact Dynamic Oscillator Using a Proper Orthogonal Decomposition-Polynomial Chaos Expansion Technique20 cited
  • 2024rLSTM-AE for dimension reduction and its application to active learning-based dynamic reliability analysis17 cited
  • 2023Stochastic modeling and statistical calibration with model error and scarce data16 cited
  • 2021A Comparison of Surrogate Modeling Techniques for Global Sensitivity Analysis in Hybrid Simulation16 cited
  • 2025A Gaussian Process surrogate approach for analyzing parameter uncertainty in mechanics-based structural finite element models13 cited
  • 2019Rapid uncertainty quantification for non-linear and stochastic wind excited structures: a metamodeling approach11 cited
  • 2023An efficient time-variant reliability analysis strategy embedding the NARX neural network of response characteristics prediction into probability density evolution method10 cited