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Uncertain eigenvalue analysis by the sparse grid stochastic collocation method
16 references·1 citing·36 second hop
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Version 5.0, user's manual. (2010)Survey of Multifidelity Methods in Uncertainty Propagation, Inference, and Optimization (2018)Structural Response Variability (1987)
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References

  • 2005High-Order Collocation Methods for Differential Equations with Random Inputs1,522 cited
  • 2008A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data942 cited
  • 2007Sparse grid collocation schemes for stochastic natural convection problems401 cited
  • 1969The eigenvalue problem for structural systems with statistical properties.208 cited
  • 1972Random Eigenvalue Problems in Structural Analysis205 cited
  • 2007Efficient characterization of the random eigenvalue problem in a polynomial chaos decomposition132 cited
  • 1972Monte Carlo Solution of Nonlinear Vibrations109 cited
  • 2003Interval eigenvalue analysis for structures with interval parameters93 cited
  • 1995Effects of Uncertain Material Properties on Structural Stability89 cited
  • 2011Stochastic free vibration of orthotropic plates using generalized polynomial chaos expansion84 cited
  • 2002Random eigenvalue problems for large systems77 cited
  • 2001Computational procedure for a fast calculation of eigenvectors and eigenvalues of structures with random properties62 cited
  • 2010A stochastic collocation method for large classes of mechanical problems with uncertain parameters61 cited
  • 2006Natural Frequencies of a Structure with Bounded Uncertainty52 cited

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  • 2014Stochastic interval analysis of natural frequency and mode shape of structures with uncertainties46 cited
  • 2007A complete method for efficient fuzzy modal analysis44 cited
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    • 2020Free vibration of a composite plate with spatially varying Gaussian properties under uncertain thermal field using assumed mode method7 cited