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Study of a stall induced dynamical system under gust using the probability density evolution technique
16 references·1 citing·37 second hop
Study of a stall induced dynamical system under gust using the probability density evolution technique (2015)Study of a stall induced dynamical system…Stochastic Dynamics of Structures (2009)Stochastic Dynamics of Struct…An adaptive hierarchical sparse grid collocation algorithm for the solution of stochastic differential equations (2009)An adaptive hierarchical spar…An adaptive Stochastic Finite Elements approach based on Newton–Cotes quadrature in simplex elements (2008)An adaptive Stochastic Finite…Probabilistic Collocation: An Efficient Non-Intrusive Approach for Arbitrarily Distributed Parametric Uncertainties (2007)Probabilistic Collocation: An…Modeling physical uncertainties in dynamic stall induced fluid–structure interaction of turbine blades using arbitrary polynomial chaos (2007)Modeling physical uncertainti…Uncertainty quantification of limit-cycle oscillations (2006)Uncertainty quantification of…The principle of preservation of probability and the generalized density evolution equation (2006)The principle of preservation…The equivalent extreme-value event and evaluation of the structural system reliability (2006)The equivalent extreme-value …The probability density evolution method for dynamic response analysis of non‐linear stochastic structures (2005)The probability density evolu…Probability density evolution method for dynamic response analysis of structures with uncertain parameters (2004)Probability density evolution…Dynamic response and reliability analysis of non-linear stochastic structures (2004)Dynamic response and reliabil…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…Design and Analysis of Experiments (1998)Design and Analysis of Experi…Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…Response‐Surface Approach for Reliability Analysis (1989)Response‐Surface Approach for…High-dimensional reliability analysis based on the improved number-theoretical method (2022)High-dimensional reliability …The stochastic finite-element method (1980)Neumann Expansion for Stochastic Finite Element Analysis (1988)A state-of-the-art report on computational stochastic mechanics (1997)The extreme value distribution and dynamic reliability analysis of nonlinear structures with uncertain parameters (2006)The Number Theoretical Method in Response Analysis of Nonlinear Stochastic Structures (2006)Advances of the probability density evolution method for nonlinear stochastic systems (2011)Probability Concepts in Engineering Planning and Design (1975)Statistics for Experimenters (1979)Moment methods for structural reliability (2001)Reliability-based design optimization using kriging surrogates and subset simulation (2011)Exact and Invariant Second-Moment Code Format (1974)Method for Random Vibration of Hysteretic Systems (1976)Structural Reliability Methods (1996)A Nested Extreme Response Surface Approach for Time-Dependent Reliability-Based Design Optimization (2012)Random function based spectral representation of stationary and non-stationary stochastic processes (2016)Probabilistic Structural Dynamics: Advanced Theory and Applications (1967)Probability density evolution method: Background, significance and recent developments (2015)Direct probability integral method for stochastic response analysis of static and dynamic structural systems (2019)Stochastic Differential Equations: An Introduction with Applications. (1987)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2010)A non-adapted sparse approximation of PDEs with stochastic inputs (2011)Stochastic finite element methods for partial differential equations with random input data (2014)Statistics for Experimenters: An Introduction to Design, Data Analysis and Model Building. (1979)Response Surface Methodology: Process and Product Optimization Using Designed Experiments (1996)One-Factor-at-a-Time versus Designed Experiments (1999)Research Issues and Ideas in Statistical Process Control (1999)Identification and Review of Sensitivity Analysis Methods (2002)Global sensitivity analysis using polynomial chaos expansions (2007)AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)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)A GF-discrepancy for point selection in stochastic seismic response analysis of structures with uncertain parameters (2015)
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References

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  • 1998Design and Analysis of Experiments1,877 cited
  • 2003Modeling uncertainty in flow simulations via generalized polynomial chaos1,428 cited
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  • 2007Probabilistic Collocation: An Efficient Non-Intrusive Approach for Arbitrarily Distributed Parametric Uncertainties168 cited
  • 2007Modeling physical uncertainties in dynamic stall induced fluid–structure interaction of turbine blades using arbitrary polynomial chaos

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139 cited
  • 2006Uncertainty quantification of limit-cycle oscillations119 cited
  • 2008An adaptive Stochastic Finite Elements approach based on Newton–Cotes quadrature in simplex elements64 cited
  • Cited by

    • 2022High-dimensional reliability analysis based on the improved number-theoretical method23 cited