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An alternative interpolation scheme for minimum compliance topology optimization
KTH, Superseded Departments, Mathematics.
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
Abstract [en]

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.
Keyword [en]
topology optimization, variable-topology, design, perimeter, convergence
URN: urn:nbn:se:kth:diva-20984ISI: 000171331500003OAI: diva2:339681
QC 20100525Available from: 2010-08-10 Created: 2010-08-10Bibliographically approved

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