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- DescriptionThis mograph 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 polymial 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 Polymial Chaoses is identified. In this context, the solution process is approximated by its projection onto a finite subspace spanned by these polymials.
- Author(s)Pol D. Spanos,Roger G. Ghanem
- PublisherSpringer-Verlag New York Inc.
- Date of Publication16/09/2011
- Place of PublicationNew York, NY
- Country of PublicationUnited States
- ImprintSpringer-Verlag New York Inc.
- Content Notebiography
- Weight352 g
- Width156 mm
- Height234 mm
- Spine12 mm
- Format DetailsTrade paperback (US)
- Edition StatementSoftcover reprint of the original 1st ed. 1991
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