Imperfect Bifurcation in Structures and Materials
Engineering Use of Group-theoretic Bifurcation Theory
Seiten
2002
Springer-Verlag New York Inc.
978-0-387-95409-7 (ISBN)
Springer-Verlag New York Inc.
978-0-387-95409-7 (ISBN)
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Helps close the gap between mathematical and engineering practice in bifurcation analysis. This book includes a short set of exercises at the end of each chapter.
This book provides a modern investigation into the bifurcation phenomena of physical and engineering problems. Systematic methods - based on asymptotic, probabilistic, and group-theoretic standpoints - are used to examine experimental and computational data from numerous examples (soil, sand, kaolin, concrete, domes). Engineers may find this book, with its minimized mathematical formalism, to be a useful introduction to modern bifurcation theory. For mathematicians, static bifurcation theory for finite-dimensional systems, as well as its implications for practical problems, is illuminated by the numerous examples.
This book provides a modern investigation into the bifurcation phenomena of physical and engineering problems. Systematic methods - based on asymptotic, probabilistic, and group-theoretic standpoints - are used to examine experimental and computational data from numerous examples (soil, sand, kaolin, concrete, domes). Engineers may find this book, with its minimized mathematical formalism, to be a useful introduction to modern bifurcation theory. For mathematicians, static bifurcation theory for finite-dimensional systems, as well as its implications for practical problems, is illuminated by the numerous examples.
Introduction to Bifurcation Behavior.- Critical Point and Local Behavior.- Imperfection Sensitivity Laws.- Critical Initial Imperfections (I).- Stochasticity of Initial Imperfections (I).- Experimentally-observed Bifurcation Diagrams.- Group-theoretic Bifurcation Theory.- Bifurcation Behavior of Dn-equivariant Systems.- Critical Initial Imperfections (II).- Stochasticity of Initial Imperfections (II).- Description of Bifurcation Behaviors.- Bifurcation of Cylindrical Sand Specimens.- Echelon-mode Formation.- Bifurcation of Steel Specimens.- Miscellaneous Aspects of Bifurcation Phenomena.- References.- Index.
| Erscheint lt. Verlag | 1.6.2002 |
|---|---|
| Reihe/Serie | Applied Mathematical Sciences ; Vol.149 |
| Zusatzinfo | 194 black & white illustrations |
| Verlagsort | New York, NY |
| Sprache | englisch |
| Maße | 234 x 156 mm |
| Gewicht | 1730 g |
| Einbandart | gebunden |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Angewandte Mathematik |
| Technik ► Maschinenbau | |
| ISBN-10 | 0-387-95409-0 / 0387954090 |
| ISBN-13 | 978-0-387-95409-7 / 9780387954097 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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