Optimization And Anti-optimization Of Structures Under Uncertainty

Isaac E Elishakoff, Makoto Ohsaki

• Publisher: ICP
• Year: 2010
• Print ISBN: 9781848164772, 9781848164772
• eBook ISBN: 9781848164789
• Topic: Technology & Engineering
• Subtopic: Applied Mathematics
• Index: Technology & Engineering

The volume presents a collaboration between internationally recognized experts on anti-optimization and structural optimization, and summarizes various novel ideas, methodologies and results studied over 20 years. The book vividly demonstrates how the concept of uncertainty should be incorporated in a rigorous manner during the process of designing real-world structures. The necessity of anti-optimization approach is first demonstrated, then the anti-optimization techniques are applied to static, dynamic and buckling problems, thus covering the broadest possible set of applications. Finally, anti-optimization is fully utilized by a combination of structural optimization to produce the optimal design considering the worst-case scenario. This is currently the only book that covers the combination of optimization and anti-optimization. It shows how various optimization techniques are used in the novel anti-optimization technique, and how the structural optimization can be exponentially enhanced by incorporating the concept of worst-case scenario, thereby increasing the safety of the structures designed in various fields of engineering.

Table of contents

• Contents
• Preface
• 1. Introduction
• 2. Optimization or Making the Best in the Presence of Certainty/Uncertainty
• 3. General Formulation of Anti-Optimization
• 4. Anti-Optimization in Static Problems
• 5. Anti-Optimization in Buckling
• 6. Anti-Optimization in Vibration
• 7. Anti-Optimization via FEM-based Interval Analysis
• 8. Anti-Optimization and Probabilistic Design
• 9. Hybrid Optimization with Anti-Optimization under Uncertainty or Making the Best out of the Worst
• 10. Concluding Remarks
• Bibliography
• Index
• Author Index