Optimization and anti-optimization of structures under uncertainty

著者

書誌事項

Optimization and anti-optimization of structures under uncertainty

Isaac Elishakoff, Makoto Ohsaki

Imperial College Press, c2010

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注記

Includes bibliographical references (p. 343-385) and indexes

内容説明・目次

内容説明

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.

目次

  • Optimization or Making the Best in Presence of Certainty/Uncertainty
  • General Formulation of Anti-Optimization
  • Anti-Optimization or Accounting for the Worst in Presence of Uncertainty: Static Case
  • Anti-Optimization in Buckling
  • Anti-Optimization in Vibration
  • Anti-Optimization via FEM-Based Interval Analysis
  • Anti-Optimization and Probabilistic Design
  • Hybrid Optimization with Anti-Optimization under Uncertainty or Making the Best Out of the Worst.

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