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Eigenvalue density of linear stochastic dynamical systems: A random matrix approach
16 references·1 citing·31 second hop
Eigenvalue density of linear stochastic dynamical systems: A random matrix approach (2011)Eigenvalue density of linear stochastic d…Experimental case studies for uncertainty quantification in structural dynamics (2009)Experimental case studies for…Wishart Random Matrices in Probabilistic Structural Mechanics (2008)Wishart Random Matrices in Pr…Nonparametric stochastic modeling of linear systems with prescribed variance of several natural frequencies (2008)Nonparametric stochastic mode…Random matrix eigenvalue problems in structural dynamics (2006)Random matrix eigenvalue prob…A solution of the random eigenvalue problem by a dimensional decomposition method (2006)A solution of the random eige…Analysis of Eigenvalues and Modal Interaction of Stochastic Systems (2005)Analysis of Eigenvalues and M…Random matrix theory and non-parametric model of random uncertainties in vibration analysis (2003)Random matrix theory and non-…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…Random Eigenvalue Problems for Bending Vibrations of Beams (1999)Random Eigenvalue Problems fo…Analysis Of Discrete Vibratory Systems With Parameter Uncertainties, Part I: Eigensolution (1994)Analysis Of Discrete Vibrator…Random eigenvalues, algebraic methods and structural dynamic models (1992)Random eigenvalues, algebraic…Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…Finite Element Methods in Probabilistic Structural Analysis: A Selective Review (1988)Finite Element Methods in Pro…Structure and System Nonprobabilistic Reliability Solution Method Based on Enhanced Optimal Latin Hypercube Sampling (2014)Structure and System Nonproba…Simulation and the Monte Carlo Method (1981)Random matrix theory for modeling uncertainties in computational mechanics (2004)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)The eigenvalue problem for structural systems with statistical properties. (1969)Structural Dynamics with Parameter Uncertainties (1987)Progress in Structural Dynamics With Stochastic Parameter Variations: 1987-1998 (1999)Doubly Spectral Stochastic Finite-Element Method for Linear Structural Dynamics (2011)Random field finite elements (1986)Stochastic Finite Element Expansion for Random Media (1989)Non-Gaussian positive-definite matrix-valued random fields for elliptic stochastic partial differential operators (2005)The stochastic finite-element method (1980)Time-domain formulation in computational dynamics for linear viscoelastic media with model uncertainties and stochastic excitation (2012)A random matrix approach for quantifying model-form uncertainties in turbulence modeling (2016)Stochastic Modeling of Flow-Structure Interactions Using Generalized Polynomial Chaos (2001)Physical Systems with Random Uncertainties: Chaos Representations with Arbitrary Probability Measure (2004)Stochastic convergence acceleration through basis enrichment of polynomial chaos expansions (2007)Asymptotic Sampling Distribution for Polynomial Chaos Representation from Data: A Maximum Entropy and Fisher Information Approach (2008)Polynomial chaos representation of spatio-temporal random fields from experimental measurements (2009)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)Neumann dynamic stochastic finite element method of vibration for structures with stochastic parameters to random excitation (2000)Study of the non-linear dynamic response of a rotor system with faults and uncertainties (2011)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)Experimental validation of a nonparametric probabilistic model of nonhomogeneous uncertainties for dynamical systems (2004)Generalized probabilistic approach of uncertainties in computational dynamics using random matrices and polynomial chaos decompositions (2009)Uncertain linear systems in dynamics: Retrospective and recent developments by stochastic approaches (2009)Comparison of response surface and neural network with other methods for structural reliability analysis (2003)
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References

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  • 2000Reliability Assessment Using Stochastic Finite Element Analysis524 cited
  • 2000A nonparametric model of random uncertainties for reduced matrix models in structural dynamics475 cited
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  • 2001Maximum entropy approach for modeling random uncertainties in transient elastodynamics324 cited
  • 1988Finite Element Methods in Probabilistic Structural Analysis: A Selective Review204 cited
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  • 2006Random matrix eigenvalue problems in structural dynamics98 cited
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  • 2008Nonparametric stochastic modeling of linear systems with prescribed variance of several natural frequencies78 cited
  • 2009Experimental case studies for uncertainty quantification in structural dynamics58 cited
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  • 1992Random eigenvalues, algebraic methods and structural dynamic models45 cited
  • 2008Wishart Random Matrices in Probabilistic Structural Mechanics39 cited

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  • 1999Random Eigenvalue Problems for Bending Vibrations of Beams23 cited
  • 1994Analysis Of Discrete Vibratory Systems With Parameter Uncertainties, Part I: Eigensolution22 cited
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    • 2014Structure and System Nonprobabilistic Reliability Solution Method Based on Enhanced Optimal Latin Hypercube Sampling6 cited