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Topology optimization of Structures with Contact Constraints by using a Smooth Formulation and a Neested Approach
Department of Mechanical Engineering, Jönköping University, Jönköping, Sweden.ORCID iD: 0000-0001-6821-5727
Division of Mechanics, Linköping University, Linköping, Sweden.
2009 (English)In: Proceedings of the 8th World Congress on Structural and Multidisciplinary Optimization, International Society for Structural and Multidisciplinary Optimization , 2009Conference paper, Published paper (Refereed)
Resource type
Text
Abstract [en]

In this paper a method for topology optimization of structures in unilateral contact is developed. A linear elastic structure that is unilateral constrained by rigid supports is considered. The supports are modeled by Signorini’s contact conditions which in turn are treated by a smooth approximation. This approximation must not be confused with the well-known penalty approach. The state of the system, which is defined by the equilibrium equations and the smooth approximation, is solved by a Newton method. The design parametrization is obtained by using the SIMP-model. The minimization of compliance for a limited value of volume is considered. The optimization problem is solved by a nested approach where the equilibrium equations are linearized and sensitivities are calculated by the adjoint method. The problem is then solved by SLP. The LP-problem is in turn solved by an interior point method that is available in Matlab. In order to avoid mesh-dependency the sensitivities are filtered by Sigmund’s filter. The method is implemented by using Matlab and Visual Fortran, where the Fortran code is linked to Matlab as mex-files. The implementation is done for a general design domain in 2D by using fully integrated isoparametric elements. The implementation seems to be very efficient and robust.

Place, publisher, year, edition, pages
International Society for Structural and Multidisciplinary Optimization , 2009.
Keyword [en]
SIMP, Contact, Newtons’ method, SLP
National Category
Mechanical Engineering Applied Mechanics
Research subject
Mechanical Engineering
Identifiers
URN: urn:nbn:se:oru:diva-48314ISBN: 978-989-20-1554-5 (print)OAI: oai:DiVA.org:oru-48314DiVA, id: diva2:904485
Conference
8th World Congress on Structural and Multidisciplinary Optimization, Lisbon, Portugal, June 1-5, 2009
Available from: 2008-06-09 Created: 2016-02-15 Last updated: 2017-10-18Bibliographically approved

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Strömberg, Niclas

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CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf