书目名称 | Variational Methods for Structural Optimization |
编辑 | Andrej Cherkaev |
视频video | |
丛书名称 | Applied Mathematical Sciences |
图书封面 |  |
描述 | 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. |
出版日期 | Book 2000 |
关键词 | Algebra; Structural Optimization; algorithm; algorithms; calculus; optimization |
版次 | 1 |
doi | https://doi.org/10.1007/978-1-4612-1188-4 |
isbn_softcover | 978-1-4612-7038-6 |
isbn_ebook | 978-1-4612-1188-4Series ISSN 0066-5452 Series E-ISSN 2196-968X |
issn_series | 0066-5452 |
copyright | Springer-Verlag New York, Inc 2000 |