Imperfect bifurcation in structures and materials : engineering use of group-theoretic bifurcation theory

書誌事項

Imperfect bifurcation in structures and materials : engineering use of group-theoretic bifurcation theory

Kiyohiro Ikeda, Kazuo Murota

(Applied mathematical sciences, v. 149)

Springer, c2010

2nd ed

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注記

Includes bibliographical references (p. 501-510) and index

内容説明・目次

内容説明

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.

目次

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

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