Abonnement à la biblothèque: Guest
Portail numérique Bibliothèque numérique eBooks Revues Références et comptes rendus Collections
International Journal for Uncertainty Quantification
Facteur d'impact: 3.259 Facteur d'impact sur 5 ans: 2.547 SJR: 0.417 SNIP: 0.8 CiteScore™: 1.52

ISSN Imprimer: 2152-5080
ISSN En ligne: 2152-5099

Ouvrir l'accès

International Journal for Uncertainty Quantification

DOI: 10.1615/Int.J.UncertaintyQuantification.2012004041
pages 383-395

CONVOLVED ORTHOGONAL EXPANSIONS FOR UNCERTAINTY PROPAGATION: APPLICATION TO RANDOM VIBRATION PROBLEMS

X. Frank Xu
Department of Civil, Environmental and Ocean Engineering, Stevens Institute of Technology, Hoboken, New Jersey 07030, USA
George Stefanou
Aristotle University of Thessaloniki

RÉSUMÉ

Physical nonlinear systems are typically characterized with n-fold convolution of the Green′s function, e.g., nonlinear oscillators, inhomogeneous media, and scattering theory in continuum and quantum mechanics. A novel stochastic computation method based on orthogonal expansions of random fields has been recently proposed [1]. In this study, the idea of orthogonal expansion is formalized as the so-called nth-order convolved orthogonal expansion (COE) method, especially in dealing with random processes in time. Although the paper is focused on presentation of the properties of the convolved random basis processes, examples are also provided to demonstrate application of the COE method to random vibration problems. In addition, the relation to the classical Volterra-type expansions is discussed.


Articles with similar content:

A MULTI-FIDELITY STOCHASTIC COLLOCATION METHOD FOR PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS WITH RANDOM INPUT DATA
International Journal for Uncertainty Quantification, Vol.4, 2014, issue 3
Maziar Raissi, Padmanabhan Seshaiyer
The Leading-Order Term in the Asymptotic Expansion of the Scattering Amplitude of a Collection of Finite Number of Dielectric Inhomogeneities of Small Diameter
International Journal for Multiscale Computational Engineering, Vol.3, 2005, issue 3
Darko Volkov, Habib Ammari
IDENTIFICATION IN STOCHASTIC THERMODIFFUSION PROBLEMS
Heat Transfer Research, Vol.48, 2017, issue 1
Andrzej Sluzalec
Characteristics of Symmetrical H0np Oscillations in a Waveguide-Dielectric Resonator with a Double-Layer Dielectric Element
Telecommunications and Radio Engineering, Vol.57, 2002, issue 8-9
Yu. G. Makeev, A. P. Motornenko
High-Resolution Spatio-Temporal Functional Neuroimaging of Brain Activity
Critical Reviews™ in Biomedical Engineering, Vol.30, 2002, issue 4-6
Bin He, J. Lian