Citation map · Study

SZodixStudyAcademic Library

Shelves Open access

Study · an open academic library·Metadata from OpenAlex (CC0)·Shelves·OpenAlex metadata, de-duplicated

Polynomial Chaos Expansion and Steady-State Response of a Class of Random Dynamical Systems

16 references·16 citing·41 second hopsampled

FromToDepth

this work references cited by second hop· second hop is a sample of the most-cited connections

References

1991Stochastic Finite Elements: A Spectral Approach5,753 cited
2005High-Order Collocation Methods for Differential Equations with Random Inputs1,522 cited
2008The stochastic finite element method: Past, present and future999 cited
1980The stochastic finite-element method641 cited
2006Stochastic finite element: a non intrusive approach by regression427 cited
2002Stochastic Calculus: Applications in Science and Engineering345 cited
2007Efficient Collocational Approach for Parametric Uncertainty Analysis309 cited
1998Monte Carlo techniques in computational stochastic mechanics308 cited
1997Asymptotic Expansions for Reliability and Moments of Uncertain Systems249 cited
2002Stochastic Calculus247 cited
2009Recent Developments in Spectral Stochastic Methods for the Numerical Solution of Stochastic Partial Differential Equations181 cited
2004On the accuracy of the polynomial chaos approximation140 cited
2017Stochastic Finite Element Method102 cited
2003Modal approaches for the stochastic finite element analysis of structures with material and geometric uncertainties97 cited
2009Uncertain linear systems in dynamics: Retrospective and recent developments by stochastic approaches

Only edges whose both ends are imported exist here. Widen the year window, or show the whole map. Back to the work

93 cited

1999Dynamic analysis of framed structures with statistical uncertainties89 cited

Cited by

2017Sparse polynomial chaos expansions of frequency response functions using stochastic frequency transformation66 cited
2015Polynomial chaos expansion in structural dynamics: Accelerating the convergence of the first two statistical moment sequences59 cited
2022Uncertainty quantification of dynamical systems by a POD–Kriging surrogate model54 cited
2015Stochastic free vibration analysis of laminated composite plates using polynomial correlated function expansion54 cited
2015Polynomial chaos expansion with random and fuzzy variables52 cited
2019Uncertainty propagation of frequency response functions using a multi-output Gaussian Process model43 cited
2019Random dynamical system in time domain: A POD-PC model43 cited
2015A bi-level approximation tool for the computation of FRFs in stochastic dynamic systems33 cited
2016Uncertainty propagation for nonlinear vibrations: A non-intrusive approach33 cited
2018Non-linear vibrations of a beam with non-ideal boundary conditions and uncertainties – Modeling, numerical simulations and experiments30 cited
2018Statistical moment analysis of nonlinear rotor system with multi uncertain variables27 cited
2016Polynomial chaos‐based extended Padé expansion in structural dynamics26 cited
2019Decoupling uncertainty quantification from robust design optimization21 cited
2017An efficient sparse Bayesian learning framework for stochastic response analysis20 cited
2017Statistical Framework for Sensitivity Analysis of Structural Dynamic Characteristics19 cited
2019Stochastic response analysis of elastic and inelastic systems with uncertain parameters under random impulse loading18 cited