1st Edition

Bifurcation and Buckling in Structures

By Kiyohiro Ikeda, Kazuo Murota Copyright 2022
278 Pages 210 B/W Illustrations
by CRC Press

278 Pages 210 B/W Illustrations
by CRC Press

278 Pages 210 B/W Illustrations
by CRC Press

Bifurcation and Buckling in Structures describes the theory and analysis of bifurcation and buckling in structures. Emphasis is placed on a general procedure for solving nonlinear governing equations and an analysis procedure related to the finite-element method. Simple structural examples using trusses, columns, and frames illustrate the principles. Part I presents fundamental... Read more

Part 1. Bifurcation in Structures

1. Introduction to Buckling and Bifurcation

2. Analysis of Buckling Load and Mode

3. Numerical Analysis I: Path Tracing

4. Numerical Analysis II: Branch Switching

5. Bifurcation Theory I: Basics

6. Bifurcation Theory II: Symmetric Structures

Part 2. Buckling of Structures

7. Member Buckling of Columns and Beams

8. Structural Buckling I: Truss

9. Structural Buckling II: Frame

10. Advanced Topics on Imperfect Systems

11. History of Imperfect Buckling

Appendix A. Answers to Problems

Biography

Kiyohiro Ikeda is Professor Emeritus at Tohoku University, Japan. His research interests include the application of bifurcation theory to bifurcation and buckling in structures and materials, as well as the theoretical and numerical analysis of structures with initial imperfections.

Kazuo Murota is a Project Professor at the Institute of Statistical Mathematics, Japan, as well as Professor Emeritus at the University of Tokyo, Kyoto University, and Tokyo Metropolitan University, Japan. His research interests include bifurcation theory, discrete optimization, and numerical analysis.