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Stochastic model reduction for robust dynamical characterization of structures with random parameters
14 references·1 citing·35 second hop
Stochastic model reduction for robust dynamical characterization of structures with random parameters (2017)Stochastic model reduction for robust dyn…Hybrid perturbation-Polynomial Chaos approaches to the random algebraic eigenvalue problem (2012)Hybrid perturbation-Polynomia…Stochastic modeling of uncertainties in computational structural dynamics—Recent theoretical advances (2011)Stochastic modeling of uncert…Efficient characterization of the random eigenvalue problem in a polynomial chaos decomposition (2007)Efficient characterization of…Random matrix eigenvalue problems in structural dynamics (2006)Random matrix eigenvalue prob…Joint statistics of natural frequencies of stochastic dynamic systems (2006)Joint statistics of natural f…Uncertainty Assessment of Large Finite Element Systems (2005)Uncertainty Assessment of Lar…ANALYSIS OF STRUCTURES WITH STOCHASTIC INTERFACES IN THE MEDIUM-FREQUENCY RANGE (2005)ANALYSIS OF STRUCTURES WITH S…Modeling uncertainty in flow simulations via generalized polynomial chaos (2003)Modeling uncertainty in flow …Design sensitivity analysis for repeated eigenvalues in structural design (1993)Design sensitivity analysis f…Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…Polynomial Chaos in Stochastic Finite Elements (1990)Polynomial Chaos in Stochasti…Iterative methods for design sensitivity analysis (1988)Iterative methods for design …Random Eigenvalue Problems in Structural Analysis (1972)Random Eigenvalue Problems in…The eigenvalue problem for structural systems with statistical properties. (1969)The eigenvalue problem for st…Error Estimation of Polynomial Chaos Approximations in Transient Structural Dynamics (2019)Error Estimation of Polynomia…Multi-resolution analysis of Wiener-type uncertainty propagation schemes (2004)Stochastic finite elements: Computational approaches to stochastic partial differential equations (2008)Stochastic Models of Uncertainties in Computational Mechanics (2012)Stochastic Finite Element Expansion for Random Media (1989)Uncertainties in probabilistic numerical analysis of structures and solids-Stochastic finite elements (1997)Probability density evolution method for dynamic response analysis of structures with uncertain parameters (2004)Efficient Sampling for Non-Intrusive Polynomial Chaos Applications with Multiple Uncertain Input Variables (2007)Structural Dynamics with Parameter Uncertainties (1987)Progress in Structural Dynamics With Stochastic Parameter Variations: 1987-1998 (1999)Analysis of Eigenvalues and Modal Interaction of Stochastic Systems (2005)Experimental case studies for uncertainty quantification in structural dynamics (2009)Doubly Spectral Stochastic Finite-Element Method for Linear Structural Dynamics (2011)A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2007)Simulation and the Monte Carlo Method (2007)Practical Application of the Stochastic Finite Element Method (2014)Uncertainty quantification through the Monte Carlo method in a cloud computing setting (2014)A unified analysis framework of static and dynamic structural reliabilities based on direct probability integral method (2021)Maximum entropy approach for modeling random uncertainties in transient elastodynamics (2001)Random matrix theory for modeling uncertainties in computational mechanics (2004)A hybrid spectral and metamodeling approach for the stochastic finite element analysis of structural dynamic systems (2013)Extended Wittrick–Williams algorithm for eigenvalue solution of stochastic dynamic stiffness method (2021)Simulation of Multivariate and Multidimensional Random Processes (1971)Digital simulation of random processes and its applications (1972)Monte Carlo solution of structural dynamics (1972)Structural Response Variability (1987)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)Global sensitivity analysis using polynomial chaos expansions (2007)AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)The need for linking micromechanics of materials with stochastic finite elements: A challenge for materials science (2007)Reliability assessment in structural dynamics (2013)Uncertainty quantification of squeal instability via surrogate modelling (2015)Structural Response Variability II (1988)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

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2019
Error Estimation of Polynomial Chaos Approximations in Transient Structural Dynamics
8 cited