Stochastic Finite Elements A Spectral Approach

Stochastic Finite Elements
  • Engels
  • Paperback
  • 9780486428185
  • Druk: New edition
  • juni 2003
  • 224 pagina's
Alle productspecificaties

Samenvatting

Discrepancies frequently occur between a physical system's responses and predictions obtained from mathematical models. The Spectral Stochastic Finite Element Method (SSFEM) has proven successful at forecasting a variety of uncertainties in calculating system responses. This text analyzes a class of discrete mathematical models of engineering systems, identifying key issues and reviewing relevant theoretical concepts, with particular attention to a spectral approach.
Random system parameters are modeled as second-order stochastic processes, defined by their mean and covariance functions. Relying on the spectral properties of the covariance function, the Karhunen-Loeve expansion is employed to represent these processes in terms of a countable set of uncorrected random variables, casting the problem in a finite dimensional setting. Various spectral approximations for the stochastic response of the system are obtained. Implementing the concept of generalized inverse leads to an explicit expression for the response process as a multivariate polynomial functional of a set of uncorrelated random variables. Alternatively, the solution process is treated as an element in the Hilbert space of random functions, in which a spectral representation is identified in terms of polynomial chaos. In this context, the solution process is approximated by its projection onto a finite subspace spanned by these polynomials.

Productspecificaties

Inhoud

Taal
Engels
Bindwijze
Paperback
Druk
New edition
Verschijningsdatum
juni 2003
Afmetingen
21 x 13,3 x 1,9 cm
Aantal pagina's
224 pagina's
Illustraties
Nee

Betrokkenen

Auteur
Roger G. Ghanem Pol D. Spanos
Co-auteur
Pol D. Spanos
Uitgever
Dover Publications Inc.

EAN

EAN
9780486428185

Overige kenmerken

Extra groot lettertype
Nee
Gewicht
268 g
Verpakking breedte
137 mm
Verpakking hoogte
14 mm
Verpakking lengte
214 mm

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