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An invariant subspace‐based approach to the random eigenvalue problem of systems with clustered spectrum
16 references·9 citing·29 second hop
An invariant subspace‐based approach to the random eigenvalue problem of systems with clustered spectrum (2012)An invariant subspace‐based approach to t…ORTHOGONAL POLYNOMIAL EXPANSIONS FOR SOLVING RANDOM EIGENVALUE PROBLEMS (2011)ORTHOGONAL POLYNOMIAL EXPANSI…Strain and stress computations in stochastic finite element methods (2007)Strain and stress computation…Stochastic model reduction for chaos representations (2007)Stochastic model reduction fo…Stochastic convergence acceleration through basis enrichment of polynomial chaos expansions (2007)Stochastic convergence accele…Efficient characterization of the random eigenvalue problem in a polynomial chaos decomposition (2007)Efficient characterization of…On the construction and analysis of stochastic models: Characterization and propagation of the errors associated with limited data (2006)On the construction and analy…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…Physical Systems with Random Uncertainties: Chaos Representations with Arbitrary Probability Measure (2004)Physical Systems with Random …Modeling uncertainty in flow simulations via generalized polynomial chaos (2003)Modeling uncertainty in flow …Computational procedure for a fast calculation of eigenvectors and eigenvalues of structures with random properties (2001)Computational procedure for a…Progress in Structural Dynamics With Stochastic Parameter Variations: 1987-1998 (1999)Progress in Structural Dynami…Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…Random Eigenvalue Problems in Structural Analysis (1972)Random Eigenvalue Problems in…The Treatment of Randomness in Finite Element Modeling (1970)The Treatment of Randomness i…The eigenvalue problem for structural systems with statistical properties. 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References

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  • 2003Modeling uncertainty in flow simulations via generalized polynomial chaos1,428 cited
  • 2004Physical Systems with Random Uncertainties: Chaos Representations with Arbitrary Probability Measure609 cited
  • 1969The eigenvalue problem for structural systems with statistical properties.208 cited
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  • 1999Progress in Structural Dynamics With Stochastic Parameter Variations: 1987-1998151 cited
  • 2007Efficient characterization of the random eigenvalue problem in a polynomial chaos decomposition132 cited
  • 2005Analysis of Eigenvalues and Modal Interaction of Stochastic Systems80 cited
  • 2007Stochastic convergence acceleration through basis enrichment of polynomial chaos expansions69 cited
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  • 2011ORTHOGONAL POLYNOMIAL EXPANSIONS FOR SOLVING RANDOM EIGENVALUE PROBLEMS46 cited
  • 2006A solution of the random eigenvalue problem by a dimensional decomposition method

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45 cited
  • 1970The Treatment of Randomness in Finite Element Modeling38 cited
  • 2007Strain and stress computations in stochastic finite element methods37 cited
  • Cited by

    • 2014Change-of-variable interval stochastic perturbation method for hybrid uncertain structural-acoustic systems with random and interval variables21 cited
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    • 2017Homotopy approach for random eigenvalue problem19 cited
    • 2013Application of the random eigenvalue problem in forced response analysis of a linear stochastic structure14 cited
    • 2016Subspace inverse power method and polynomial chaos representation for the modal frequency responses of random mechanical systems13 cited
    • 2016Inverse Subspace Iteration for Spectral Stochastic Finite Element Methods11 cited
    • 2022An efficient reduced‐order method for stochastic eigenvalue analysis11 cited
    • 2016Inverse Subspace Iteration for Spectral Stochastic Finite Element Methods8 cited