Stochastic Finite Elements: A Spectral Approach: A Spectral Approach, Revised Edition (Dover Civil and Mechanical Engineering) - Softcover

Ghanem, Roger G.; Spanos, Pol D.

Softcover

ISBN 10: 0486428184 ISBN 13: 9780486428185

Verlag: Dover Publications Inc., 2003

Inhaltsangabe

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.

Über diesen Titel

Über die Autorin bzw. den Autor

Roger G. Ghanem is a Professor at University of Southern California's Department of Aerospace and Mechanical Engineering in Los Angeles.
Pol D. Spanos is the L. B. Ryon Chair in Engineering in the Department of Mechanical Engineering and Materials Science at Rice University.

Details zur Ausgabe

• Verlag: Dover Publications Inc.
• Erscheinungsdatum: 2003
• Sprache: Englisch
• ISBN 10: 0486428184
• ISBN 13: 9780486428185
• Einband: Taschenbuch
• Anzahl der Seiten: 224
• Kontakt zum Hersteller: Dover; info@galileo-mc.de; ; Dachauer Str. 5-7; F�rstenfeldbruck; 82256; Deutschland