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

Kiyohiro / Murota Ikeda - Collection Yellow Sale 2023

590 pages, parution le 06/10/2020

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Résumé

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.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.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.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.