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Modeling Multibody Systems with Uncertainties. Part I: Theoretical and Computational Aspects
16 references·16 citing·22 second hopsampled
Modeling Multibody Systems with Uncertainties. Part I: Theoretical and Computational Aspects (2006)Modeling Multibody Systems with Uncertain…Simulation and the Monte Carlo Method (2016)Simulation and the Monte Carl…Simulation and the Monte Carlo Method (2007)Simulation and the Monte Carl…Physical Systems with Random Uncertainties: Chaos Representations with Arbitrary Probability Measure (2004)Physical Systems with Random …Modeling uncertainty in flow simulations via generalized polynomial chaos (2003)Modeling uncertainty in flow …The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)The Wiener--Askey Polynomial …Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos (2002)Modeling uncertainty in stead…A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)A Comparison of Three Methods…Stochastic Response Surface Methods (SRSMs) for Uncertainty Propagation: Application to Environmental and Biological Systems (1998)Stochastic Response Surface M…An efficient method for parametric uncertainty analysis of numerical geophysical models (1997)An efficient method for param…Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…Random vibration and statistical linearization (1990)Random vibration and statisti…Random vibration and statistical linearization (1990)Random vibration and statisti…Polynomial Chaos in Stochastic Finite Elements (1990)Polynomial Chaos in Stochasti…Stochastic Finite Element Expansion for Random Media (1989)Stochastic Finite Element Exp…Stochastic averaging: An approximate method of solving random vibration problems (1986)Stochastic averaging: An appr…Simulation and the Monte Carlo Method (1981)Simulation and the Monte Carl…Robust design optimization of a multi-body system with aleatory and epistemic uncertainty (2024)Robust design optimization of…Dimensional decomposition-aided metamodels for uncertainty quantification and optimization in engineering: A review (2024)Dimensional decomposition-aid…A polynomial chaos expansion approach for nonlinear dynamic systems with interval uncertainty (2020)A polynomial chaos expansion …Effectively Subsampled Quadratures for Least Squares Polynomial Approximations (2017)Effectively Subsampled Quadra…Interval and random analysis for structure–acoustic systems with large uncertain-but-bounded parameters (2016)Interval and random analysis …A new hybrid uncertain analysis method for structural-acoustic systems with random and interval parameters (2016)A new hybrid uncertain analys…A polynomial chaos method to the analysis of the dynamic behavior of spur gear system (2015)A polynomial chaos method to …Stochastic Testing Method for Transistor-Level Uncertainty Quantification Based on Generalized Polynomial Chaos (2013)Stochastic Testing Method for…Stochastic collocation and stochastic Galerkin methods for linear differential algebraic equations (2013)Stochastic collocation and st…Non-intrusive generalized polynomial chaos for the robust stability analysis of uncertain nonlinear dynamic friction systems (2012)Non-intrusive generalized pol…A polynomial chaos approach to the robust analysis of the dynamic behaviour of friction systems (2011)A polynomial chaos approach t…Polynomial Regression Approaches Using Derivative Information for Uncertainty Quantification (2010)Polynomial Regression Approac…Uncertainty quantification and apportionment in air quality models using the polynomial chaos method (2009)Uncertainty quantification an…Parameter estimation for mechanical systems via an explicit representation of uncertainty (2009)Parameter estimation for mech…Efficient uncertainty quantification with the polynomial chaos method for stiff systems (2009)Efficient uncertainty quantif…Modeling multibody systems with uncertainties. 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References

  • 2000A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code8,233 cited
  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
  • 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations4,821 cited
  • 2016Simulation and the Monte Carlo Method3,356 cited
  • 2007Simulation and the Monte Carlo Method2,454 cited
  • 1981Simulation and the Monte Carlo Method2,402 cited
  • 2003Modeling uncertainty in flow simulations via generalized polynomial chaos1,428 cited
  • 1990Random vibration and statistical linearization995 cited
  • 1990Random vibration and statistical linearization822 cited
  • 2004Physical Systems with Random Uncertainties: Chaos Representations with Arbitrary Probability Measure609 cited
  • 1986Stochastic averaging: An approximate method of solving random vibration problems577 cited
  • 2002Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos552 cited
  • 1989Stochastic Finite Element Expansion for Random Media512 cited
  • 1990Polynomial Chaos in Stochastic Finite Elements416 cited
  • 1998Stochastic Response Surface Methods (SRSMs) for Uncertainty Propagation: Application to Environmental and Biological Systems

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387 cited
  • 1997An efficient method for parametric uncertainty analysis of numerical geophysical models334 cited
  • Cited by

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    • 2024Dimensional decomposition-aided metamodels for uncertainty quantification and optimization in engineering: A review70 cited
    • 2016Interval and random analysis for structure–acoustic systems with large uncertain-but-bounded parameters47 cited
    • 2012Non-intrusive generalized polynomial chaos for the robust stability analysis of uncertain nonlinear dynamic friction systems45 cited
    • 2011A polynomial chaos approach to the robust analysis of the dynamic behaviour of friction systems45 cited
    • 2017Effectively Subsampled Quadratures for Least Squares Polynomial Approximations43 cited
    • 2013Stochastic collocation and stochastic Galerkin methods for linear differential algebraic equations42 cited
    • 2009Efficient uncertainty quantification with the polynomial chaos method for stiff systems42 cited
    • 2016A new hybrid uncertain analysis method for structural-acoustic systems with random and interval parameters42 cited
    • 2009Parameter estimation for mechanical systems via an explicit representation of uncertainty42 cited
    • 2024Robust design optimization of a multi-body system with aleatory and epistemic uncertainty40 cited
    • 2009Uncertainty quantification and apportionment in air quality models using the polynomial chaos method40 cited
    • 2015A polynomial chaos method to the analysis of the dynamic behavior of spur gear system36 cited
    • 2020A polynomial chaos expansion approach for nonlinear dynamic systems with interval uncertainty36 cited