Overview
- Authors:
-
-
Roger G. Ghanem
-
School of Engineering and Applied Sciences, State University of New York, Buffalo, USA
-
Pol D. Spanos
-
L.B. Ryon Chair in Engineering, Rice University, Houston, USA
Access this book
Other ways to access
Table of contents (6 chapters)
-
-
- Roger G. Ghanem, Pol D. Spanos
Pages 1-13
-
- Roger G. Ghanem, Pol D. Spanos
Pages 15-65
-
- Roger G. Ghanem, Pol D. Spanos
Pages 67-99
-
- Roger G. Ghanem, Pol D. Spanos
Pages 101-119
-
- Roger G. Ghanem, Pol D. Spanos
Pages 121-183
-
- Roger G. Ghanem, Pol D. Spanos
Pages 185-191
-
Back Matter
Pages 193-214
About this book
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.
Authors and Affiliations
-
School of Engineering and Applied Sciences, State University of New York, Buffalo, USA
Roger G. Ghanem
-
L.B. Ryon Chair in Engineering, Rice University, Houston, USA
Pol D. Spanos
