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Random Eigenvalue Problems in Structural Dynamics
16 references·1 citing·35 second hop
Random Eigenvalue Problems in Structural Dynamics (2004)Random Eigenvalue Problems in Structural …Analysis of Eigenvalues and Modal Interaction of Stochastic Systems (2005)Analysis of Eigenvalues and M…Modal approaches for the stochastic finite element analysis of structures with material and geometric uncertainties (2003)Modal approaches for the stoc…Random eigenvalue problems for large systems (2002)Random eigenvalue problems fo…Computational procedure for a fast calculation of eigenvectors and eigenvalues of structures with random properties (2001)Computational procedure for a…Transient Dynamics of Stochastically Parametered Beams (2000)Transient Dynamics of Stochas…Reliability Assessment Using Stochastic Finite Element Analysis (2000)Reliability Assessment Using …Progress in Structural Dynamics With Stochastic Parameter Variations: 1987-1998 (1999)Progress in Structural Dynami…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…Asymptotic Expansions for Reliability and Moments of Uncertain Systems (1997)Asymptotic Expansions for Rel…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…Structural Dynamics with Parameter Uncertainties (1987)Structural Dynamics with Para…The stochastic finite-element method (1980)The stochastic finite-element…Modal Analysis of Random Structural Systems (1972)Modal Analysis of Random Stru…The eigenvalue problem for structural systems with statistical properties. (1969)The eigenvalue problem for st…Random eigenvalue problems revisited (2006)Random eigenvalue problems re…Structural Reliability under Incomplete Probability Information (1986)Optimal Discretization of Random Fields (1993)Random matrix eigenvalue problems in structural dynamics (2006)Recent advances in non-probabilistic approaches for non-deterministic dynamic finite element analysis (2006)Identification of Bayesian posteriors for coefficients of chaos expansions (2010)Design Sensitivity Analysis of Structural Systems (1986)Sensitivity Analysis of Discrete Structural Systems (1986)Uncertain linear systems in dynamics: Retrospective and recent developments by stochastic approaches (2009)Polynomial Chaos Expansion and Steady-State Response of a Class of Random Dynamical Systems (2014)Probabilistic Theory of Structural Dynamics (1976)Simulation and the Monte Carlo Method (1981)Reliability estimation for dynamical systems subject to stochastic excitation using subset simulation with splitting (2004)Structural optimization of linear dynamical systems under stochastic excitation: a moving reliability database approach (2004)Design and sensitivity analysis of dynamical systems subjected to stochastic loading (2005)Simulation and the Monte Carlo Method (2016)Exact and Invariant Second-Moment Code Format (1974)Random field finite elements (1986)A univariate dimension-reduction method for multi-dimensional integration in stochastic mechanics (2004)Fast Numerical Methods for Stochastic Computations: A Review (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)Random Eigenvalue Problems in Structural Analysis (1972)Structural Response Variability II (1988)Efficient characterization of the random eigenvalue problem in a polynomial chaos decomposition (2007)Wind effects on structures: a probabilistic viewpoint (1987)Response of Uncertain Systems to Stochastic Excitation (1988)Stochastic finite element analysis of the free vibration of laminated composite plates (2007)New Point Estimates for Probability Moments (2000)Comparison of dynamic response of structures with uncertain-but-bounded parameters using non-probabilistic interval analysis method and probabilistic approach (2003)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)Comparison of response surface and neural network with other methods for structural reliability analysis (2003)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)
this work references cited by second hop

References

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  • 1980The stochastic finite-element method641 cited
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  • 1987Structural Dynamics with Parameter Uncertainties269 cited
  • 1997Asymptotic Expansions for Reliability and Moments of Uncertain Systems249 cited
  • 1969The eigenvalue problem for structural systems with statistical properties.208 cited
  • 1988Finite Element Methods in Probabilistic Structural Analysis: A Selective Review204 cited
  • 1999Progress in Structural Dynamics With Stochastic Parameter Variations: 1987-1998151 cited
  • 2003Modal approaches for the stochastic finite element analysis of structures with material and geometric uncertainties97 cited
  • 1972Modal Analysis of Random Structural Systems91 cited
  • 1999Dynamic analysis of framed structures with statistical uncertainties89 cited
  • 1998Dynamic stiffness of randomly parametered beams84 cited
  • 2005Analysis of Eigenvalues and Modal Interaction of Stochastic Systems80 cited
  • 2002Random eigenvalue problems for large systems77 cited
  • 2001Computational procedure for a fast calculation of eigenvectors and eigenvalues of structures with random properties

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62 cited
  • 2000Transient Dynamics of Stochastically Parametered Beams51 cited
  • Cited by

    • 2006Random eigenvalue problems revisited16 cited