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Polynomial chaos‐based extended Padé expansion in structural dynamics
12 references·6 citing·36 second hop
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Methods Appl. Mech. Engrg. (2010)eXtended Stochastic Finite Element Method for the numerical simulation of heterogeneous materials with random material interfaces (2010)Polynomial Chaos Expansion of a Multimodal Random Vector (2015)
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References

  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
  • 1969The eigenvalue problem for structural systems with statistical properties.208 cited
  • 2007Efficient characterization of the random eigenvalue problem in a polynomial chaos decomposition132 cited
  • 2003Modal approaches for the stochastic finite element analysis of structures with material and geometric uncertainties97 cited
  • 2005Analysis of Eigenvalues and Modal Interaction of Stochastic Systems80 cited
  • 2009Padé–Legendre approximants for uncertainty analysis with discontinuous response surfaces76 cited
  • 2007Stochastic convergence acceleration through basis enrichment of polynomial chaos expansions69 cited
  • 2014Polynomial Chaos Expansion and Steady-State Response of a Class of Random Dynamical Systems68 cited
  • 2001A LOCAL MODAL/PERTURBATIONAL METHOD FOR ESTIMATING FREQUENCY RESPONSE STATISTICS OF BUILT-UP STRUCTURES WITH UNCERTAIN PROPERTIES66 cited
  • 2015Polynomial chaos expansion in structural dynamics: Accelerating the convergence of the first two statistical moment sequences59 cited
  • 2009A mode-based meta-model for the frequency response functions of uncertain structural systems39 cited
  • 2012Stochastic Analysis of the Eigenvalue Problem for Mechanical Systems Using Polynomial Chaos Expansion— Application to a Finite Element Rotor31 cited

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  • 2021A reduced modal subspace approach for damped stochastic dynamic systems

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18 cited
  • 2020Polynomial chaos based rational approximation in linear structural dynamics with parameter uncertainties17 cited
  • 2019On spectral fuzzy–stochastic FEM for problems involving polymorphic geometrical uncertainties15 cited
  • 2019Rational Polynomial Chaos Expansions for the Stochastic Macromodeling of Network Responses13 cited
  • 2021Fast Stochastic Surrogate Modeling via Rational Polynomial Chaos Expansions and Principal Component Analysis13 cited
  • 2019Adaptive alternating Lipschitz search method for structural analysis with unknown-but-bounded uncertainties10 cited