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Prediction of Random Self Friction-Induced Vibrations in Uncertain Dry Friction Systems Using a Multi-Element Generalized Polynomial Chaos Approach
16 references·3 citing·36 second hop
Prediction of Random Self Friction-Induced Vibrations in Uncertain Dry Friction Systems Using a Multi-Element Generalized Polynomial Chaos Approach (2012)Prediction of Random Self Friction-Induce…Polynomial chaos expansion for sensitivity analysis (2008)Polynomial chaos expansion fo…Global sensitivity analysis using polynomial chaos expansions (2007)Global sensitivity analysis u…A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2007)A Stochastic Collocation Meth…Uncertainty quantification of limit-cycle oscillations (2006)Uncertainty quantification of…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…Beyond Wiener–Askey Expansions: Handling Arbitrary PDFs (2005)Beyond Wiener–Askey Expansion…An adaptive multi-element generalized polynomial chaos method for stochastic differential equations (2005)An adaptive multi-element gen…Uncertainty propagation using Wiener–Haar expansions (2004)Uncertainty propagation using…Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations (2004)Galerkin Finite Element Appro…Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems (2003)Latin hypercube sampling and …Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos (2002)Modeling uncertainty in stead…Parallel solution methods for stochastic finite element analysis using Monte Carlo simulation (1999)Parallel solution methods for…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…Uncertainty Quantification of Stochastic Impact Dynamic Oscillator Using a Proper Orthogonal Decomposition-Polynomial Chaos Expansion Technique (2020)Uncertainty Quantification of…Stability analysis of a clutch system with multi-element generalized polynomial chaos (2016)Stability analysis of a clutc…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 …The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)High-Order Collocation Methods for Differential Equations with Random Inputs (2005)A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data (2008)An adaptive algorithm to build up sparse polynomial chaos expansions for stochastic finite element analysis (2009)Survey of Multifidelity Methods in Uncertainty Propagation, Inference, and Optimization (2018)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)Modeling uncertainty in flow simulations via generalized polynomial chaos (2003)Multi-resolution analysis of Wiener-type uncertainty propagation schemes (2004)Efficient Collocational Approach for Parametric Uncertainty Analysis (2007)A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2010)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)Random vibration and statistical linearization (1990)Verification and Validation in Computational Science and Engineering (1998)Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations (2004)Uncertainty Quantification and Polynomial Chaos Techniques in Computational Fluid Dynamics (2008)An Introduction to Computational Stochastic PDEs (2014)Design and Analysis of Computer Experiments (1989)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)A new uncertainty importance measure (2006)Survey of sampling-based methods for uncertainty and sensitivity analysis (2006)A Review on Global Sensitivity Analysis Methods (2015)AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)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)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)Multi-Element Generalized Polynomial Chaos for Arbitrary Probability Measures (2006)An adaptive hierarchical sparse grid collocation algorithm for the solution of stochastic differential equations (2009)
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References

  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
  • 2003Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems2,707 cited
  • 2007Global sensitivity analysis using polynomial chaos expansions2,547 cited
  • 2007A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data1,396 cited
  • 2004Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations869 cited
  • 2008Polynomial chaos expansion for sensitivity analysis747 cited
  • 2005An adaptive multi-element generalized polynomial chaos method for stochastic differential equations578 cited
  • 2002Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos552 cited
  • 2004Uncertainty propagation using Wiener–Haar expansions438 cited
  • 1998Stochastic Response Surface Methods (SRSMs) for Uncertainty Propagation: Application to Environmental and Biological Systems387 cited
  • 2006Modeling Multibody Systems with Uncertainties. Part I: Theoretical and Computational Aspects186 cited
  • 2005Beyond Wiener–Askey Expansions: Handling Arbitrary PDFs153 cited
  • 2006Modeling multibody systems with uncertainties. Part II: Numerical applications130 cited
  • 2006Uncertainty quantification of limit-cycle oscillations

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119 cited
  • 1999Parallel solution methods for stochastic finite element analysis using Monte Carlo simulation119 cited
  • 2006Application of polynomial chaos in stability and control119 cited
  • Cited by

    • 2020Uncertainty Quantification of Stochastic Impact Dynamic Oscillator Using a Proper Orthogonal Decomposition-Polynomial Chaos Expansion Technique20 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