This textbook describes 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 finite-element method. Simple structural examples using trusses, columns, and frames illustrate the principles.
This textbook describes 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 finite-element method. Simple structural examples using trusses, columns, and frames illustrate the principles.
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.
Inhaltsangabe
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.
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.
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