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Finite Element Methods for Structures with Large Stochastic Variations

New. Sprache: Englisch.
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The finite element method (FEM) can be successfully applied to various field problems in solid mechanics, fluid mechanics and electrical engineering. FEM is a numerical method widely used in computer aided engineering, which allows for modelling and … weiterlesen
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Finite Element Methods for Structures with Large Stochastic Variations als Buch

Produktdetails

Titel: Finite Element Methods for Structures with Large Stochastic Variations
Autor/en: Tom A. McArthur, Yongjian Ren, Isaac Elishakoff

ISBN: 0198526318
EAN: 9780198526315
New.
Sprache: Englisch.
OXFORD UNIV PR

September 2003 - gebunden - 272 Seiten

Beschreibung

The finite element method (FEM) can be successfully applied to various field problems in solid mechanics, fluid mechanics and electrical engineering. FEM is a numerical method widely used in computer aided engineering, which allows for modelling and analysis of engineering and mathematical
problems, e.g. safety testing. This reference text is the first to discuss finite element methods for structures with large stochastic variations. Stochastic variations are those that follow a random probability distribution or pattern and whose behavior may be analyzed statistically but not
predicted precisely. Graduate students, lecturers and researchers in mathematics, engineering and scientific computation will find this a very useful reference. This book is the latest in the Oxford Texts in Applied and Engineering Mathematics Series, which includes textx based on taught courses
that explain the mathematical or computational techniques required for the resolution of fundamental applied problems, from the undergraduate through to the graduate level.

Inhaltsverzeichnis

1. Fundamentals of Finite Element Method; 2. Finite Element Method for Stochastic Structures - A Review and Improvement; 3. Finite Element Method for Stochastic Structures Based on Exact Inverse of Stiffness Matrix; 4. FEM Based on Direct Exact Inverse of Stiffness Matrix; 5. Variational Principles-Based FEM for Stochastic Beams; 6. Element-Level Flexibility-Based Finite Element Method for Stochastic Structures; 7. A Comparison of Stochastic and Interval Finite Elements; Biblography; Appendices

Pressestimmen

Those who work on applications of elementary FEM and simple static stochastic structures with large stochastic variation will likely find the book a satisfactory and an informative one. Journal of Sound and Vibration

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