Variable-topology shape optimization with a control on perimeter

Robert B. Haber, Chandrashekhar S. Jog, Martin P. Bendsoe

Research output: Contribution to conferencePaper

Abstract

A method for variable-topology shape optimization is described. The method addresses certain problems that arise in relaxed formulations, i.e., homogenization design methods. For example, a complete relaxation generates optimal designs containing material with perforated microstructures that may be difficult or expensive to manufacture. This approach uses a control on the design perimeter to exclude effectively chattering designs, which have an infinite perimeter, from the feasible solution space. This achieves a well-posed shape design problem without the introduction of microstructure.

Original languageEnglish (US)
Pages261-272
Number of pages12
StatePublished - Dec 1 1994
EventProceedings of the 1994 ASME Design Technical Conferences. Part 1 (of 2) - Minneapolis, MN, USA
Duration: Sep 11 1994Sep 14 1994

Other

OtherProceedings of the 1994 ASME Design Technical Conferences. Part 1 (of 2)
CityMinneapolis, MN, USA
Period9/11/949/14/94

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Shape optimization
Microstructure

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Haber, R. B., Jog, C. S., & Bendsoe, M. P. (1994). Variable-topology shape optimization with a control on perimeter. 261-272. Paper presented at Proceedings of the 1994 ASME Design Technical Conferences. Part 1 (of 2), Minneapolis, MN, USA, .

Variable-topology shape optimization with a control on perimeter. / Haber, Robert B.; Jog, Chandrashekhar S.; Bendsoe, Martin P.

1994. 261-272 Paper presented at Proceedings of the 1994 ASME Design Technical Conferences. Part 1 (of 2), Minneapolis, MN, USA, .

Research output: Contribution to conferencePaper

Haber, RB, Jog, CS & Bendsoe, MP 1994, 'Variable-topology shape optimization with a control on perimeter', Paper presented at Proceedings of the 1994 ASME Design Technical Conferences. Part 1 (of 2), Minneapolis, MN, USA, 9/11/94 - 9/14/94 pp. 261-272.
Haber RB, Jog CS, Bendsoe MP. Variable-topology shape optimization with a control on perimeter. 1994. Paper presented at Proceedings of the 1994 ASME Design Technical Conferences. Part 1 (of 2), Minneapolis, MN, USA, .
Haber, Robert B. ; Jog, Chandrashekhar S. ; Bendsoe, Martin P. / Variable-topology shape optimization with a control on perimeter. Paper presented at Proceedings of the 1994 ASME Design Technical Conferences. Part 1 (of 2), Minneapolis, MN, USA, .12 p.
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