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Large scale ground structure analysis using a scalable interior point algorithm

Cubas, A.; Meneze, I.F.M. s; Paulino, G.H.;

Abstract:

The ground structure method provides an approximation to optimal Michell-type structures, composed of an infinite number of members, by using a reduced number of truss members. The optimal least weight truss for a single load case, under linear elastic conditions, subjected to stress constraints can be posed as a linear programming problem (Ohsaki [1]). The aim of the work is to provide a scalable implementation for the optimization of least weight trusses embedded in any domain geometry. The method removes unnecessary members from a truss that has a user-defined degree of interconnection (ground structure) while keeping the nodal locations fixed. The present work describes in detail a scalable implementation of the ground structure method using a special implementation of the interior point algorithm. We demonstrate the capabilities of the algorithm by means of large scale applications on practical problems involving hundreds of millions of members.

Abstract:

Palavras-chave: topology optimization, ground structure, interior point method, Michell structures,

Palavras-chave:

Referências bibliográficas
Como citar:

Cubas, A.; Meneze, I.F.M. s; Paulino, G.H.; "Large scale ground structure analysis using a scalable interior point algorithm", p. 88 . In: Proceedings of the 13th International Symposium on Multiscale, Multifunctional and Functionally Graded Materials [=Blucher Material Science Proceedings, v.1, n.1]. São Paulo: Blucher, 2014.
ISSN 2358-9337,

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