An alternative interpolation scheme for minimum compliance topology optimization
2001 (English)In: Structural and multidisciplinary optimization (Print), ISSN 1615-147X, E-ISSN 1615-1488, Vol. 22, no 2, 116-124 p.Article in journal (Refereed) Published
We consider the discretized zero-one continuum topology optimization problem of finding the optimal distribution of two linearly elastic materials such that compliance is minimized. The geometric complexity of the design is limited using a constraint on the perimeter of the design. A common approach to solve these problems is to relax the zero-one constraints and model the material properties by a power law which gives noninteger solutions very little stiffness in comparison to the amount of material used. We propose a material interpolation model based on a certain rational function, parameterized by a positive scalar q such that the compliance is a convex function when q is zero and a concave function for a finite and a priori known value on q. This increases the probability to obtain a zero-one solution of the relaxed problem.
Place, publisher, year, edition, pages
2001. Vol. 22, no 2, 116-124 p.
topology optimization, variable-topology, design, perimeter, convergence
IdentifiersURN: urn:nbn:se:kth:diva-20984ISI: 000171331500003OAI: oai:DiVA.org:kth-20984DiVA: diva2:339681
QC 201005252010-08-102010-08-10Bibliographically approved