Stability and Optimization of Structures

Part I. Generalized Sensitivity of Nonlinear Elastic Systems

1. Introduction to Design Sensitivity Analysis
Makoto Ohsaki, Kiyohiro Ikeda

2. Methods of Design Sensitivity Analysis
Makoto Ohsaki, Kiyohiro Ikeda

3. Imperfection Sensitivity Analysis
Makoto Ohsaki, Kiyohiro Ikeda

Part II. Optimization Methods for Stability Design

4. Optimization Under Stability Constraints
Makoto Ohsaki, Kiyohiro Ikeda

5. Optimal Structures Under Snapthrough Constraint
Makoto Ohsaki, Kiyohiro Ikeda

6. Shape Optimization of Compliant Mechanisms
Makoto Ohsaki, Kiyohiro Ikeda

7. Optimal Braced Frames with Coincident Buckling Loads
Makoto Ohsaki, Kiyohiro Ikeda

8. Hilltop Branching Point I: Simple Bifurcation
Makoto Ohsaki, Kiyohiro Ikeda

9. Hilltop Branching Point II: Multiple Bifurcations
Makoto Ohsaki, Kiyohiro Ikeda

10. Hilltop Branching Point III: Degenerate
Makoto Ohsaki, Kiyohiro Ikeda

Part III. Worst and Random Imperfections

11. Worst Imperfection: Asymptotic Theory
Makoto Ohsaki, Kiyohiro Ikeda

12. Worst Imperfection: Anti-optimization by LP and QP
Makoto Ohsaki, Kiyohiro Ikeda

13. Worst Imperfection for Stable Bifurcation
Makoto Ohsaki, Kiyohiro Ikeda

14. Random Imperfections: Theory
Makoto Ohsaki, Kiyohiro Ikeda

15. Random Imperfections of Elasto-Plastic Solids
Makoto Ohsaki, Kiyohiro Ikeda

16. Random Imperfections: Higher-Order Analysis
Makoto Ohsaki, Kiyohiro Ikeda

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