Imperfect Bifurcation in Structures and Materials: Engineering Use of Group-Theoretic Bifurcation Theory

2010
ISBN: 978-1-4419-7075-6
Verlag: SPRINGER NATURE

Buch, Englisch, Band 149, 520 Seiten, Format (B × H): 167 mm x 245 mm, Gewicht: 2060 g

Reihe: Applied Mathematical Sciences

Most physical systems lose or gain stability through bifurcation behavior. This book explains a series of experimentally found bifurcation phenomena by means of the methods of static bifurcation theory.

Zielgruppe

Research

Autoren/Hrsg.

Ikeda, Kiyohiro

Murota, Kazuo

Fachgebiete

• Technische Wissenschaften Elektronik | Nachrichtentechnik Nachrichten- und Kommunikationstechnik Regelungstechnik
• Mathematik | Informatik Mathematik Mathematik Interdisziplinär Systemtheorie
• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
• Interdisziplinäres Wissenschaften Wissenschaften: Forschung und Information Kybernetik, Systemtheorie, Komplexe Systeme

Inhaltsverzeichnis

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

Über Autor(innen)

Kiyohiro Ikeda is a Professor in the Department of Civil Engineering, Graduate School of Engineering at Tohoku University. Kazuo Murota is a Professor in the Department of Mathematical Informatics, Graduate School of Information Science and Technology at University of Tokyo.