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Generalized Wishart distribution for probabilistic structural dynamics
16 references·3 citing·31 second hop
Generalized Wishart distribution for probabilistic structural dynamics (2010)Generalized Wishart distribution for prob…Stochastic Finite Element Method (2017)Stochastic Finite Element Met…Stochastic reduced order models for uncertain geometrically nonlinear dynamical systems (2008)Stochastic reduced order mode…Nonparametric stochastic modeling of linear systems with prescribed variance of several natural frequencies (2008)Nonparametric stochastic mode…Matrix Variate Distributions for Probabilistic Structural Dynamics (2007)Matrix Variate Distributions …Measures of agreement between computation and experiment: Validation metrics (2006)Measures of agreement between…Random matrix theory for modeling uncertainties in computational mechanics (2004)Random matrix theory for mode…Reliability Assessment Using Stochastic Finite Element Analysis (2001)Reliability Assessment Using …Maximum entropy approach for modeling random uncertainties in transient elastodynamics (2001)Maximum entropy approach for …Reliability Assessment Using Stochastic Finite Element Analysis (2000)Reliability Assessment Using …A nonparametric model of random uncertainties for reduced matrix models in structural dynamics (2000)A nonparametric model of rand…Dynamic analysis of framed structures with statistical uncertainties (1999)Dynamic analysis of framed st…Dynamic stiffness of randomly parametered beams (1998)Dynamic stiffness of randomly…Uncertainties in probabilistic numerical analysis of structures and solids-Stochastic finite elements (1997)Uncertainties in probabilisti…Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…Stochastic Structural Dynamics: Progress in Theory and Applications (1988)Stochastic Structural Dynamic…The stochastic finite-element method (1980)The stochastic finite-element…Variational Coupled Loads Analysis Using the Hybrid Parametric Variation Method (2020)Variational Coupled Loads Ana…Test-Based Uncertainty Quantification and Propagation Using Hurty/Craig-Bampton Substructure Representations (2019)Test-Based Uncertainty Quanti…A reduced-order random matrix approach for stochastic structural dynamics (2010)A reduced-order random matrix…Simulation and the Monte Carlo Method (1981)A comprehensive overview of a non-parametric probabilistic approach of model uncertainties for predictive models in structural dynamics (2005)Simulation and the Monte Carlo Method (2016)Stochastic Finite Element Expansion for Random Media (1989)Non-Gaussian positive-definite matrix-valued random fields for elliptic stochastic partial differential operators (2005)Stochastic finite element methods for partial differential equations with random input data (2014)Random field finite elements (1986)Random Fields: Analysis and Synthesis (1983)Latin Hypercube Sampling for Stochastic Finite Element Analysis (2002)Multi-resolution analysis of Wiener-type uncertainty propagation schemes (2004)Methods of structural safety (2006)Uncertainty propagation in CFD using polynomial chaos decomposition (2006)Exact and Invariant Second-Moment Code Format (1974)A univariate dimension-reduction method for multi-dimensional integration in stochastic mechanics (2004)Fast Numerical Methods for Stochastic Computations: A Review (2009)An Introduction to Error Analysis (1982)An Introduction to Error Analysis: The Study of Uncertainties in Physical Measurements (1998)Verification and Validation in Computational Science and Engineering (1998)Model validation and predictive capability for the thermal challenge problem (2007)A better understanding of model updating strategies in validating engineering models (2008)Toward a Better Understanding of Model Validation Metrics (2011)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)Experimental case studies for uncertainty quantification in structural dynamics (2009)Generalized probabilistic approach of uncertainties in computational dynamics using random matrices and polynomial chaos decompositions (2009)Stochastic Models of Uncertainties in Computational Mechanics (2012)A survey of non-probabilistic uncertainty treatment in finite element analysis (2004)Assessment of the efficiency of Kriging surrogate models for structural reliability analysis (2014)Reliability analysis of structures by iterative improved response surface method (2016)Comparison of response surface and neural network with other methods for structural reliability analysis (2003)
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78 cited
  • 2007Matrix Variate Distributions for Probabilistic Structural Dynamics59 cited
  • Cited by

    • 2010A reduced-order random matrix approach for stochastic structural dynamics9 cited
    • 2019Test-Based Uncertainty Quantification and Propagation Using Hurty/Craig-Bampton Substructure Representations8 cited
    • 2020Variational Coupled Loads Analysis Using the Hybrid Parametric Variation Method5 cited