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Maximum entropy approach for modeling random uncertainties in transient elastodynamics
4 references·16 citing·35 second hop
Maximum entropy approach for modeling random uncertainties in transient elastodynamics (2001)Maximum entropy approach for modeling ran…A nonparametric model of random uncertainties for reduced matrix models in structural dynamics (2000)A nonparametric model of rand…Stochastic Finite Element Expansion for Random Media (1989)Stochastic Finite Element Exp…Random field finite elements (1986)Random field finite elementsStochastic Finite Element Analysis of Simple Beams (1983)Stochastic Finite Element Ana…Stochastic Models of Uncertainties in Computational Mechanics (2012)Stochastic Models of Uncertai…On the Statistical Dependence for the Components of Random Elasticity Tensors Exhibiting Material Symmetry Properties (2012)On the Statistical Dependence…Stochastic modeling of uncertainties in computational structural dynamics—Recent theoretical advances (2011)Stochastic modeling of uncert…Reliability-based design optimization of adhesive bonded steel–concrete composite beams with 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References

  • 1986Random field finite elements645 cited
  • 1989Stochastic Finite Element Expansion for Random Media512 cited
  • 2000A nonparametric model of random uncertainties for reduced matrix models in structural dynamics475 cited
  • 1983Stochastic Finite Element Analysis of Simple Beams439 cited

Cited by

  • 2004Random matrix theory for modeling uncertainties in computational mechanics265 cited
  • 2005A comprehensive overview of a non-parametric probabilistic approach of model uncertainties for predictive models in structural dynamics229 cited
  • 2005Non-Gaussian positive-definite matrix-valued random fields for elliptic stochastic partial differential operators183 cited
  • 2009Structural reliability assessment based on probability and convex set mixed model170 cited
  • 2011Stochastic modeling of uncertainties in computational structural dynamics—Recent theoretical advances161 cited
  • 2008Stochastic reduced order models for uncertain geometrically nonlinear dynamical systems153 cited
  • 2011On non-probabilistic reliability-based design optimization of structures with uncertain-but-bounded parameters147 cited
  • 2009Reliability-based structural optimization with probability and convex set hybrid models123 cited
  • 2008Construction of probability distributions in high dimension using the maximum entropy principle: Applications to stochastic processes, random fields and random matrices

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117 cited
  • 2012Stochastic Models of Uncertainties in Computational Mechanics112 cited
  • 2003Random matrix theory and non-parametric model of random uncertainties in vibration analysis105 cited
  • 2010Identification of Bayesian posteriors for coefficients of chaos expansions103 cited
  • 2009Generalized probabilistic approach of uncertainties in computational dynamics using random matrices and polynomial chaos decompositions93 cited
  • 2012On the Statistical Dependence for the Components of Random Elasticity Tensors Exhibiting Material Symmetry Properties87 cited
  • 2011Reliability-based design optimization of adhesive bonded steel–concrete composite beams with probabilistic and non-probabilistic uncertainties86 cited
  • 2005Probabilistic approach for model and data uncertainties and its experimental identification in structural dynamics: Case of composite sandwich panels83 cited