Overview
- Presents novel computational procedures for the uncertainty assessment of large finite element systems
- Presents an efficient procedure based on the Karhunen-Loève representation of the response
- Includes several numerical examples
Part of the book series: Lecture Notes in Applied and Computational Mechanics (LNACM, volume 24)
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Table of contents (15 chapters)
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Front Matter
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Back Matter
Keywords
About this book
The treatment of uncertainties in the analysis of engineering structures remains one of the premium challenges in modern structural mechanics. It is only in recent years that the developments in stochastic and deterministic computational mechanics began to be synchronized. To foster these developments, novel computational procedures for the uncertainty assessment of large finite element systems are presented in this monograph. The stochastic input is modeled by the so-called Karhunen-Loève expansion, which is formulated in this context both for scalar and vector stochastic processes as well as for random fields. Particularly for strongly non-linear structures and systems the direct Monte Carlo simulation technique has proven to be most advantageous as method of solution. The capabilities of the developed procedures are demonstrated by showing some practical applications.
Bibliographic Information
Book Title: Uncertainty Assessment of Large Finite Element Systems
Authors: Christian A. Schenk, Gerhart I. Schuëller
Series Title: Lecture Notes in Applied and Computational Mechanics
DOI: https://doi.org/10.1007/11673941
Publisher: Springer Berlin, Heidelberg
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2005
Hardcover ISBN: 978-3-540-25343-3Published: 08 June 2005
Softcover ISBN: 978-3-642-06464-7Published: 30 November 2010
eBook ISBN: 978-3-540-32398-3Published: 17 February 2006
Series ISSN: 1613-7736
Series E-ISSN: 1860-0816
Edition Number: 1
Number of Pages: X, 166
Number of Illustrations: 58 b/w illustrations, 3 illustrations in colour
Topics: Vibration, Dynamical Systems, Control, Solid Mechanics, Classical Mechanics, Complex Systems, Computational Intelligence, Solid Mechanics