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Analysis of a Nonlinear Aeroelastic System with Parametric Uncertainties Using Polynomial Chaos Expansion
16 references·7 citing·26 second hop
Analysis of a Nonlinear Aeroelastic System with Parametric Uncertainties Using Polynomial Chaos Expansion (2010)Analysis of a Nonlinear Aeroelastic Syste…Recent Advances in Non-Intrusive Polynomial Chaos and Stochastic Collocation Methods for Uncertainty Analysis and Design (2009)Recent Advances in Non-Intrus…Comparison of Non-Intrusive Polynomial Chaos and Stochastic Collocation Methods for Uncertainty Quantification (2009)Comparison of Non-Intrusive P…An adaptive algorithm to build up sparse polynomial chaos expansions for stochastic finite element analysis (2009)An adaptive algorithm to buil…Sparse grid collocation schemes for stochastic natural convection problems (2007)Sparse grid collocation schem…A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2007)A Stochastic Collocation Meth…High-Order Collocation Methods for Differential Equations with Random Inputs (2005)High-Order Collocation Method…An adaptive multi-element generalized polynomial chaos method for stochastic differential equations (2005)An adaptive multi-element gen…Physical Systems with Random Uncertainties: Chaos Representations with Arbitrary Probability Measure (2004)Physical Systems with Random …Multi-resolution analysis of Wiener-type uncertainty propagation schemes (2004)Multi-resolution analysis of …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 …Error and uncertainty in modeling and simulation (2002)Error and uncertainty in mode…A Stochastic Projection Method for Fluid Flow (2002)A Stochastic Projection Metho…A Stochastic Projection Method for Fluid Flow (2001)A Stochastic Projection Metho…The stochastic finite element method: basic perturbation technique and computer implementation (1993)The stochastic finite element…Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…Flutter stability analysis of aeroelastic systems with consideration of hybrid uncertain parameters (2022)Flutter stability analysis of…Generalized Polynomial Chaos Expansion Approach for Uncertainty Quantification in Small Satellite Orbital Debris Problems (2019)Generalized Polynomial Chaos …Stochastic Dynamics of a Nonlinear Misaligned Rotor System Subject to Random Fluid-Induced Forces (2016)Stochastic Dynamics of a Nonl…Study of a stall induced dynamical system under gust using the probability density evolution technique (2015)Study of a stall induced dyna…Influence of Physical and Geometrical Uncertainties in the Parametric Instability Load of an Axially Excited Cylindrical Shell (2015)Influence of Physical and Geo…Uncertainties in blade flutter damage prediction under random gust (2014)Uncertainties in blade flutte…Uncertainty Quantification of a Nonlinear Aeroelastic System Using Polynomial Chaos Expansion With Constant Phase Interpolation (2013)Uncertainty Quantification of…Structural Reliability Methods (1996)Global sensitivity analysis using polynomial chaos expansions (2007)Reliability-based design optimization using kriging surrogates and subset simulation (2011)A combined Importance Sampling and Kriging reliability method for small failure probabilities with time-demanding numerical models (2012)LIF: A new Kriging based learning function and its application to structural reliability analysis (2016)Large Sample Properties of Simulations Using Latin Hypercube Sampling (1987)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (1979)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)Numerical Challenges in the Use of Polynomial Chaos Representations for Stochastic Processes (2004)Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles (2011)Simulation Modeling and Analysis. 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References

  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
  • 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations4,821 cited
  • 2005High-Order Collocation Methods for Differential Equations with Random Inputs1,522 cited
  • 2003Modeling uncertainty in flow simulations via generalized polynomial chaos1,428 cited
  • 2007A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data1,396 cited
  • 2009An adaptive algorithm to build up sparse polynomial chaos expansions for stochastic finite element analysis834 cited
  • 2002Error and uncertainty in modeling and simulation629 cited
  • 2004Physical Systems with Random Uncertainties: Chaos Representations with Arbitrary Probability Measure609 cited
  • 2005An adaptive multi-element generalized polynomial chaos method for stochastic differential equations578 cited
  • 2002A Stochastic Projection Method for Fluid Flow503 cited
  • 2007Sparse grid collocation schemes for stochastic natural convection problems401 cited
  • 1993The stochastic finite element method: basic perturbation technique and computer implementation400 cited
  • 2009Recent Advances in Non-Intrusive Polynomial Chaos and Stochastic Collocation Methods for Uncertainty Analysis and Design371 cited
  • 2009Comparison of Non-Intrusive Polynomial Chaos and Stochastic Collocation Methods for Uncertainty Quantification

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348 cited
  • 2001A Stochastic Projection Method for Fluid Flow338 cited
  • 2004Multi-resolution analysis of Wiener-type uncertainty propagation schemes335 cited
  • Cited by

    • 2015Study of a stall induced dynamical system under gust using the probability density evolution technique25 cited
    • 2016Stochastic Dynamics of a Nonlinear Misaligned Rotor System Subject to Random Fluid-Induced Forces23 cited
    • 2013Uncertainty Quantification of a Nonlinear Aeroelastic System Using Polynomial Chaos Expansion With Constant Phase Interpolation21 cited
    • 2019Generalized Polynomial Chaos Expansion Approach for Uncertainty Quantification in Small Satellite Orbital Debris Problems15 cited
    • 2022Flutter stability analysis of aeroelastic systems with consideration of hybrid uncertain parameters13 cited
    • 2014Uncertainties in blade flutter damage prediction under random gust10 cited
    • 2015Influence of Physical and Geometrical Uncertainties in the Parametric Instability Load of an Axially Excited Cylindrical Shell9 cited