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Non-intrusive generalized polynomial chaos for the robust stability analysis of uncertain nonlinear dynamic friction systems
15 references·9 citing·34 second hop
Non-intrusive generalized polynomial chaos for the robust stability analysis of uncertain nonlinear dynamic friction systems (2012)Non-intrusive generalized polynomial chao…A polynomial chaos approach to the robust analysis of the dynamic behaviour of friction systems (2011)A polynomial chaos approach t…Stochastic Finite Elements (2009)Stochastic Finite ElementsStability analysis of stochastic systems using polynomial chaos (2008)Stability analysis of stochas…Polynomial chaos expansion for sensitivity analysis (2008)Polynomial chaos expansion fo…Global sensitivity analysis using polynomial chaos expansions (2007)Global sensitivity analysis u…Distributional uncertainty analysis using power series and polynomial chaos expansions (2007)Distributional uncertainty an…Uncertainty quantification of limit-cycle oscillations (2006)Uncertainty quantification of…Spectral and multiresolution Wiener expansions of oscillatory stochastic processes (2006)Spectral and multiresolution …Modeling multibody systems with uncertainties. Part II: Numerical applications (2006)Modeling multibody systems wi…Modeling Multibody Systems with Uncertainties. Part I: Theoretical and Computational Aspects (2006)Modeling Multibody Systems wi…Application of polynomial chaos in stability and control (2006)Application of polynomial cha…Modeling uncertainty in flow simulations via generalized polynomial chaos (2003)Modeling uncertainty in flow …Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos (2002)Modeling uncertainty in stead…Stochastic Response Surface Methods (SRSMs) for Uncertainty Propagation: Application to Environmental and Biological Systems (1998)Stochastic Response Surface M…Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…A Review of Uncertainty Quantification Techniques for Frequency Responses of Mechanical Systems (2025)A Review of Uncertainty Quant…Non-intrusive frequency response analysis of nonlinear systems with interval uncertainty: A comparative study (2022)Non-intrusive frequency respo…A non-intrusive frequency normalisation approach for uncertain response analysis of nonlinear dynamic systems (2022)A non-intrusive frequency nor…Robustness of stochastic expansions for the stability of uncertain nonlinear dynamical systems – Application to brake squeal (2018)Robustness of stochastic expa…A novel hybrid surrogate model and its application on a mechanical system subjected to friction-induced vibration (2018)A novel hybrid surrogate mode…Hybrid surrogate model for the prediction of uncertain friction-induced instabilities (2017)Hybrid surrogate model for th…Stability analysis of a clutch system with multi-element generalized polynomial chaos (2016)Stability analysis of a clutc…Dynamic system uncertainty propagation using polynomial chaos (2014)Dynamic system uncertainty pr…Wiener–Askey and Wiener–Haar Expansions for the Analysis and Prediction of Limit Cycle Oscillations in Uncertain Nonlinear Dynamic Friction Systems (2013)Wiener–Askey and Wiener–Haar …An efficient method for parametric uncertainty analysis of numerical geophysical models (1997)Linear quadratic regulation of systems with stochastic parameter uncertainties (2009)UNCERTAINTY QUANTIFICATION IN STOCHASTIC SYSTEMS USING POLYNOMIAL CHAOS EXPANSION (2010)Wiener's Polynomial Chaos for the Analysis and Control of Nonlinear Dynamical Systems with Probabilistic Uncertainties [Historical Perspectives] (2013)Statistics for Experimenters: An Introduction to Design, Data Analysis and Model Building. (1979)Empirical Model Building and Response Surfaces (1988)Uncertainty quantification in reacting-flow simulations through non-intrusive spectral projection (2003)Probabilistic collocation method for flow in porous media: Comparisons with other stochastic methods (2007)A Chebyshev interval method for nonlinear dynamic systems under uncertainty (2012)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)Polynomial Regression Approaches Using Derivative Information for Uncertainty Quantification (2010)Stochastic Testing Method for Transistor-Level Uncertainty Quantification Based on Generalized Polynomial Chaos (2013)Design of Composite Wings Including Uncertainties: A Probabilistic Approach (2009)Numerical analysis of the Burgers’ equation in the presence of uncertainty (2009)Non-Intrusive Polynomial Chaos Methods for Uncertainty Quantification in Fluid Dynamics (2010)Structural Reliability Analysis and Prediction (2017)A Quantitative Model-Independent Method for Global Sensitivity Analysis of Model Output (1999)Adaptive sparse polynomial chaos expansion based on least angle regression (2010)UQLab: A Framework for Uncertainty Quantification in Matlab (2014)Sensitivity analysis of environmental models: A systematic review with practical workflow (2016)Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems (2003)Data-driven uncertainty quantification using the arbitrary polynomial chaos expansion (2012)Stochastic analysis of the fracture toughness of polymeric nanoparticle composites using polynomial chaos expansions (2017)Sensitivity and uncertainty analysis for flexoelectric nanostructures (2018)AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)A polynomial chaos method for the analysis of the dynamic behavior of uncertain gear friction system (2016)Interval and random analysis for structure–acoustic systems with large uncertain-but-bounded parameters (2016)Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations (2004)Stochastic spectral methods for efficient Bayesian solution of inverse problems (2006)An Anisotropic Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data (2008)An adaptive multi-element generalized polynomial chaos method for stochastic differential equations (2005)Uncertainty Quantification and Polynomial Chaos Techniques in Computational Fluid Dynamics (2008)Fast Numerical Methods for Stochastic Computations: A Review (2009)
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References

  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
  • 2007Global sensitivity analysis using polynomial chaos expansions2,547 cited
  • 2003Modeling uncertainty in flow simulations via generalized polynomial chaos1,428 cited
  • 2008Polynomial chaos expansion for sensitivity analysis747 cited
  • 2002Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos552 cited
  • 1998Stochastic Response Surface Methods (SRSMs) for Uncertainty Propagation: Application to Environmental and Biological Systems387 cited
  • 2007Distributional uncertainty analysis using power series and polynomial chaos expansions195 cited
  • 2006Modeling Multibody Systems with Uncertainties. Part I: Theoretical and Computational Aspects186 cited
  • 2006Modeling multibody systems with uncertainties. Part II: Numerical applications130 cited
  • 2006Uncertainty quantification of limit-cycle oscillations119 cited
  • 2006Application of polynomial chaos in stability and control119 cited
  • 2009Stochastic Finite Elements113 cited
  • 2006Spectral and multiresolution Wiener expansions of oscillatory stochastic processes94 cited
  • 2008Stability analysis of stochastic systems using polynomial chaos50 cited
  • 2011

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A polynomial chaos approach to the robust analysis of the dynamic behaviour of friction systems
45 cited

Cited by

  • 2018A novel hybrid surrogate model and its application on a mechanical system subjected to friction-induced vibration41 cited
  • 2014Dynamic system uncertainty propagation using polynomial chaos36 cited
  • 2022Non-intrusive frequency response analysis of nonlinear systems with interval uncertainty: A comparative study22 cited
  • 2017Hybrid surrogate model for the prediction of uncertain friction-induced instabilities19 cited
  • 2018Robustness of stochastic expansions for the stability of uncertain nonlinear dynamical systems – Application to brake squeal18 cited
  • 2025A Review of Uncertainty Quantification Techniques for Frequency Responses of Mechanical Systems15 cited
  • 2016Stability analysis of a clutch system with multi-element generalized polynomial chaos13 cited
  • 2013Wiener–Askey and Wiener–Haar Expansions for the Analysis and Prediction of Limit Cycle Oscillations in Uncertain Nonlinear Dynamic Friction Systems12 cited
  • 2022A non-intrusive frequency normalisation approach for uncertain response analysis of nonlinear dynamic systems11 cited