ENGLISH

Variational Methods For Structural Optimization

By Andrej Cherkaev

Book information

Publisher
Springer
Year
2000
Language
english
Format
PDF
Filesize
5 MB (4947830 bytes)
Edition
draft
Pages
571\571
Time added
2010-02-18 13:16:04

Description

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.

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