Nonlinear filters in topology optimization: existence of solutions and efficient implementation for minimum compliance problems
2017 (English)In: Structural and multidisciplinary optimization (Print), ISSN 1615-147X, E-ISSN 1615-1488, Vol. 55, no 3, 1017-1028 p.Article in journal (Refereed) Published
Material distribution topology optimization problems are generally ill-posed if no restriction or regularization method is used. To deal with these issues, filtering procedures are routinely applied. In a recent paper, we presented a framework that encompasses the vast majority of currently available density filters. In this paper, we show that these nonlinear filters ensure existence of solutions to a continuous version of the minimum compliance problem. In addition, we provide a detailed description on how to efficiently compute sensitivities for the case when multiple of these nonlinear filters are applied in sequence. Finally, we present large-scale numerical experiments illustrating some characteristics of these cascaded nonlinear filters.
Place, publisher, year, edition, pages
2017. Vol. 55, no 3, 1017-1028 p.
Topology optimization, Regularization, Nonlinear filters, Existence of solutions, Large-scale problems
IdentifiersURN: urn:nbn:se:umu:diva-133354DOI: 10.1007/s00158-016-1553-8OAI: oai:DiVA.org:umu-133354DiVA: diva2:1087303
FunderSwedish Foundation for Strategic Research , AM13-0029Swedish Research Council, 621-3706