| 書目名稱 | Imperfect Bifurcation in Structures and Materials |
| 副標題 | Engineering Use of G |
| 編輯 | Kiyohiro Ikeda,Kazuo Murota |
| 視頻video | http://file.papertrans.cn/463/462456/462456.mp4 |
| 概述 | Opens up a variety of methods involving symmetries, and group theory in general, to an entirely new audience.For engineers: Introduction to a modern view of bifurcatoin theory by minimizing mathematic |
| 叢書名稱 | Applied Mathematical Sciences |
| 圖書封面 |  |
| 描述 | Many physical systems lose or gain stability and pattern through bifurca- tion behavior. Extensive research of this behavior is carried out in many fields of science and engineering. The study of dynamic bifurcation be- havior, for example, has made clear the mechanism of dynamic instability and chaos. The group-theoretic bifurcation theory is an established means to deal with the formation and selection of patterns in association with symmetry-breaking bifurcation. Since all physical systems are "imperfect," in that they inevitably involve some initial imperfections, the study of im- perfect bifurcation (bifurcation of imperfect systems) has drawn a keen mathematical interest to yield a series of important results, such as the universal unfolding. In structural mechanics, bifurcation behavior has been studied to model the buckling and failure of structural systems. The sharp reduction of the strength of structural systems by initial imperfections is formulated as im- perfection sensitivity laws. A series of statistical studies has been conducted to make clear the dependence of the strength of structures on the statis- tical variation of initial imperfections. A difficulty in these |
| 出版日期 | Textbook 20021st edition |
| 關鍵詞 | Bifurcation phenomena; Group-theoretic bifurcation theory; Static bifurcation theory; bifurcation; bifur |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-1-4757-3697-7 |
| isbn_ebook | 978-1-4757-3697-7Series ISSN 0066-5452 Series E-ISSN 2196-968X |
| issn_series | 0066-5452 |
| copyright | Springer Science+Business Media New York 2002 |
|Archiver|手機版|小黑屋|
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