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Adaptive Generalized Polynomial Chaos for Nonlinear Random Oscillators
6 references·16 citing·34 second hop
Adaptive Generalized Polynomial Chaos for Nonlinear Random Oscillators (2004)Adaptive Generalized Polynomial Chaos for…The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)The Wiener--Askey Polynomial …Stochastic Finite Elements with Multiple Random Non-Gaussian Properties (1999)Stochastic Finite Elements wi…Ingredients for a general purpose stochastic finite elements implementation (1999)Ingredients for a general pur…Adaptive polynomial chaos expansions applied to statistics of extremes in nonlinear random vibration (1998)Adaptive polynomial chaos exp…Random Vibration of Mechanical and Structural Systems (1992)Random Vibration of Mechanica…Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…Uncertainty analysis of mechanical dynamics by combining response surface method with signal decomposition technique (2021)Uncertainty analysis of mecha…Uncertainty Quantification of Stochastic Impact Dynamic Oscillator Using a Proper 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this work references cited by second hop

References

  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
  • 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations4,821 cited
  • 1992Random Vibration of Mechanical and Structural Systems493 cited
  • 1999Ingredients for a general purpose stochastic finite elements implementation401 cited
  • 1999Stochastic Finite Elements with Multiple Random Non-Gaussian Properties164 cited
  • 1998Adaptive polynomial chaos expansions applied to statistics of extremes in nonlinear random vibration106 cited

Cited by

  • 2014Polynomial Chaos Expansion and Steady-State Response of a Class of Random Dynamical Systems68 cited
  • 2013Grid and basis adaptive polynomial chaos techniques for sensitivity and uncertainty analysis52 cited
  • 2017Surrogate Models for Oscillatory Systems Using Sparse Polynomial Chaos Expansions and Stochastic Time Warping52 cited
  • 2018An efficient multifidelity ℓ1 -minimization method for sparse polynomial chaos46 cited
  • 2019Multi-level multi-fidelity sparse polynomial chaos expansion based on Gaussian process regression44 cited
  • 2017Efficient uncertainty quantification of stochastic CFD problems using sparse polynomial chaos and compressed sensing43 cited
  • 2020A Kriging–NARX Model for Uncertainty Quantification of Nonlinear Stochastic Dynamical Systems in Time Domain40 cited

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2012
Stochastic Analysis of the Eigenvalue Problem for Mechanical Systems Using Polynomial Chaos Expansion— Application to a Finite Element Rotor
31 cited
  • 2010Polynomial chaos expansions for optimal control of nonlinear random oscillators28 cited
  • 2021Uncertainty analysis of mechanical dynamics by combining response surface method with signal decomposition technique26 cited
  • 2020Efficient uncertainty quantification of turbine blade leading edge film cooling using bi-fidelity combination of compressed sensing and Kriging22 cited
  • 2013Uncertainty Quantification of a Nonlinear Aeroelastic System Using Polynomial Chaos Expansion With Constant Phase Interpolation21 cited
  • 2010Polynomial Chaos for the Computation of Failure Probabilities in Periodic Problems21 cited
  • 2020Uncertainty Quantification of Stochastic Impact Dynamic Oscillator Using a Proper Orthogonal Decomposition-Polynomial Chaos Expansion Technique20 cited
  • 2020Active learning polynomial chaos expansion for reliability analysis by maximizing expected indicator function prediction error20 cited
  • 2010Modelling and simulation of autonomous oscillators with random parameters18 cited