Stochastic Finite Elements: A Spectral Approach, Revised Edition
Language: English
Published by DOVER PUBN INC, 2012
Series: Book 28 of 53 - Dover Civil and Mechanical Engineering
- Softcover
- New
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- Title
- Stochastic Finite Elements: A Spectral Approach, Revised Edition
- Author
- Ghanem, Roger G.|Spanos, Pol D.
- Publisher
- DOVER PUBN INC
- Publication year
- 2012
- Condition
- New
- Binding
- Soft cover
- Language
- English
- ISBN 10
- 0486428184
- ISBN 13
- 9780486428185
- Series
- Book 28 of 53: Dover Civil and Mechanical Engineering
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.
"Synopsis" may belong to another edition of this title.
About the Author
Pol D. Spanos is the L. B. Ryon Chair in Engineering in the Department of Mechanical Engineering and Materials Science at Rice University.
"About the title" may belong to another edition of this title.
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