Optimal structural design considering flexibility

Shinji Nishiwaki, Seungjae Min, Jeonghoon Yoo, Noboru Kikuchi

Research output: Contribution to journalArticlepeer-review

70 Citations (Scopus)


A topology optimization method based on the homogenization method (the homogenization design method) has been successfully applied to a variety of optimization problems such as the stiffness maximization problem and the eigen-frequency maximization problem. In this study, a methodology to obtain the optimal structure design considering flexibility is developed as a new extension of the homogenization design method. First, flexibility is formulated using the mutual energy concept. Second, a new multi-objective function is proposed to obtain optimal solutions incorporating flexibility and stiffness. Next, the topology optimization procedure is constructed using the homogenization method and sequential linear programming (SLP). Finally, some examples are presented to confirm that the methodology presented here can provide flexible structures satisfying the problem specifications.

Original languageEnglish
Pages (from-to)4457-4504
Number of pages48
JournalComputer Methods in Applied Mechanics and Engineering
Issue number34
Publication statusPublished - 2001 May 25

Bibliographical note

Funding Information:
The authors are supported partially by grant DMI 9622261 from the National Science Foundation and TOYOTA Central R&D Labs., Inc. They are grateful for this support.

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • General Physics and Astronomy
  • Computer Science Applications


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