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On equal-width length-scale control in topology optimization
Dalian University of Technology.
Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för datavetenskap. (Design Optimization)
2019 (engelsk)Inngår i: Structural and multidisciplinary optimization (Print), ISSN 1615-147X, E-ISSN 1615-1488, Vol. 59, nr 4, s. 1321-1334Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

This paper deals with equal-width length-scale control in topology optimization. To realize this aim, we first review different notions of minimum and maximum length-scale control and highlight some perhaps counterintuitive consequences of the various definitions. Here, we implement equal-width control within the moving morphable components (MMC) framework by imposing the same upper and lower bounds on the width of the components. To avoid partially overlapping beams and nearly parallel beams, as well as beams crossing at small angles, we introduce penalty functions of the angle difference and the minimum distance between any two beams. A penalized optimization formulation of compliance minimization is established and studied in several numerical examples with different load cases and boundary conditions. The numerical results show that equal-width length-scale control can be obtained by using the proposed penalty function in combination with a continuation approach for the amount of penalization.

sted, utgiver, år, opplag, sider
Springer, 2019. Vol. 59, nr 4, s. 1321-1334
Emneord [en]
Topology optimization, Size control, Moving morphable components, Mathematical morphology, Medial axis transform
HSV kategori
Identifikatorer
URN: urn:nbn:se:umu:diva-154289DOI: 10.1007/s00158-018-2131-zISI: 000465527100016Scopus ID: 2-s2.0-85056658726OAI: oai:DiVA.org:umu-154289DiVA, id: diva2:1270968
Forskningsfinansiär
Swedish Foundation for Strategic Research , AM13-0029The Swedish Foundation for International Cooperation in Research and Higher Education (STINT), IB2018-7470Tilgjengelig fra: 2018-12-14 Laget: 2018-12-14 Sist oppdatert: 2019-06-13bibliografisk kontrollert

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