Dynamical systems, SIMP, bone remodeling and time dependent loads
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
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.
Topology optimization, Dynamical systems, Bone remodeling
National CategoryEngineering and Technology
IdentifiersURN: urn:nbn:se:liu:diva-77543DOI: 10.1007/s00158-011-0724-xISI: 000303052700003OAI: oai:DiVA.org:liu-77543DiVA: diva2:528349