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

• Main Authors: Ikeda, Kiyohiro (Author, http://id.loc.gov/vocabulary/relators/aut), Murota, Kazuo (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 3rd ed. 2019.
• Series: Applied Mathematical Sciences, 149
• Subjects: System theory.; Control engineering.; Applied mathematics.; Engineering mathematics.; Dynamics.; Ergodic theory.; Mechanics.; Mechanics, Applied.; Systems Theory, Control.; Control and Systems Theory.; Mathematical and Computational Engineering.; Dynamical Systems and Ergodic Theory.; Solid Mechanics.

This book provides a modern static imperfect bifurcation theory applicable to bifurcation phenomena of physical and engineering problems and fills the gap between the mathematical theory and engineering practice. Systematic methods based on asymptotic, probabilistic, and group theoretic standpoints...

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.