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Dynamical systems, SIMP, bone remodeling and time dependent loads
Linköping University, Department of Management and Engineering, Mechanics. Linköping University, The Institute of Technology.ORCID iD: 0000-0001-8460-0131
Linköping University, Department of Management and Engineering, Solid Mechanics. Linköping University, The Institute of Technology.
2012 (English)In: Structural and multidisciplinary optimization (Print), ISSN 1615-147X, E-ISSN 1615-1488, Vol. 45, no 3, 359-366 p.Article in journal (Refereed) Published
Abstract [en]

The dynamical systems approach to sizing and SIMP topology optimization, introduced in a previous paper, is extended to the case of time-varying loads. A general dynamical system, satisfying a Lyaponov-type descent condition, is derived and specialized to a goal function combining stiffness and mass. For a cyclic time-dependent load it is indicated how, in the limit of short cycles compared to the overall time scale, this can be handled by multiple load cases. Numerical examples, both for a convex and a non-convex case, illustrates the theory.

Place, publisher, year, edition, pages
Springer Verlag (Germany) , 2012. Vol. 45, no 3, 359-366 p.
Keyword [en]
Topology optimization, Dynamical systems, Bone remodeling
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:liu:diva-77543DOI: 10.1007/s00158-011-0724-xISI: 000303052700003OAI: oai:DiVA.org:liu-77543DiVA: diva2:528349
Available from: 2012-05-25 Created: 2012-05-22 Last updated: 2017-12-07

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Klarbring, AndersTorstenfelt, Bo

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CiteExportLink to record
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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
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  • Other style
More styles
Language
  • de-DE
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Output format
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