Stochastic Finite Elements: A Spectral Approach

Name: Stochastic Finite Elements: A Spectral Approach
Brand: Springer-Verlag New York Inc.
SKU: 9781461277958
Price: 643.35 PLN
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Autor: Roger G. Ghanem, Pol D. Spanos

Język:

Oprawa: Miękka

Wydawca: Springer-Verlag New York Inc.

Dostępność: Dostępna u dostawcy

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This monograph considers engineering systems with random parame ters. Its context, format, and timin...

Informacje o książce

Autor

Roger G. Ghanem, Pol D. Spanos

Język

Angielski

Oprawa

Książka - Miękka

Data wydania

2011

strony

214

EAN

9781461277958

ISBN

1461277957

Enbook ID

06795448

Wydawca

Springer-Verlag New York Inc.

Waga

350

Wymiary

234 x 157 x 20

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This monograph considers engineering systems with random parame ters. Its context, format, and timing are correlated with the intention of accelerating the evolution of the challenging field of Stochastic Finite Elements. The random system parameters are modeled as second order stochastic processes defined by their mean and covari ance functions. Relying on the spectral properties of the covariance function, the Karhunen-Loeve expansion is used' to represent these processes in terms of a countable set of un correlated random vari ables. Thus, the problem is cast in a finite dimensional setting. Then, various spectral approximations for the stochastic response of the system are obtained based on different criteria. Implementing the concept of Generalized Inverse as defined by the Neumann Ex pansion, leads to an explicit expression for the response process as a multivariate polynomial functional of a set of un correlated random variables. Alternatively, the solution process is treated as an element in the Hilbert space of random functions, in which a spectral repre sentation in terms of the Polynomial Chaoses is identified. In this context, the solution process is approximated by its projection onto a finite subspace spanned by these polynomials.

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