Variational Methods for Structural Optimization

Variational Methods for Structural Optimization by Andrej Cherkaev.

In recent decades, it has become possible to turn the design process into computer algorithms. By applying different computer oriented methods the topology and shape of structures can be optimized and thus designs systematically improved. These possibilities have stimulated an interest in the mathem...

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Bibliographic Details
Main Author: Cherkaev, Andrej (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: New York, NY : Springer New York : Imprint: Springer, 2000.
Edition:1st ed. 2000.
Series:Applied Mathematical Sciences, 140
Springer eBook Collection.
Subjects:
Mechanics.
Calculus of variations.
System theory.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Description
Summary:In recent decades, it has become possible to turn the design process into computer algorithms. By applying different computer oriented methods the topology and shape of structures can be optimized and thus designs systematically improved. These possibilities have stimulated an interest in the mathematical foundations of structural optimization. The challenge of this book is to bridge a gap between a rigorous mathematical approach to variational problems and the practical use of algorithms of structural optimization in engineering applications. The foundations of structural optimization are presented in a sufficiently simple form to make them available for practical use and to allow their critical appraisal for improving and adapting these results to specific models. Special attention is to pay to the description of optimal structures of composites; to deal with this problem, novel mathematical methods of nonconvex calculus of variation are developed. The exposition is accompanied by examples.
Physical Description:XXVI, 548 p. online resource.
ISBN:9781461211884
ISSN:0066-5452 ;
DOI:10.1007/978-1-4612-1188-4

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