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

Bibliographic Information

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

Kiyohiro Ikeda, Kazuo Murota

(Applied mathematical sciences, v. 149)

Springer, c2019

3rd ed

Available at  / 15 libraries

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Note

Includes bibliographical references (p. 573-581) and index

Description and Table of Contents

Description

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.

Table of Contents

Overview of Book.- Imperfect Behavior at Simple Critical Points.- Critical Points and Local Behavior.- Imperfection Sensitivity Laws.- Worst Imperfection (I).- Random Imperfection (I).- Experimentally Observed Bifurcation Diagrams.- Imperfect Bifurcation of Symmetric Systems.- Group-Theoretic Bifurcation Theory.- Bifurcation Behavior of Dn-Equivariant Systems.- Worst Imperfection (II).- Random Imperfection (II).- Description and Computation of Bifurcation Behaviors.- Efficient Transformation for Block-Diagonalization.- Modeling of Bifurcation Phenomena.- Bifurcation of Cylindrical Sand Specimens.- Echelon-Mode Formation.- Bifurcation of Steel Specimens.- Flower Patterns on Honeycomb Structures.- Answers to Problems.

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