Large scale ground structure analysis using a scalable interior point algorithm

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.

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.

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Como citar:

Cubas, A.; Meneze, I.F.M. s; Paulino, G.H.; "Large scale ground structure analysis using a scalable interior point algorithm", p-88-88. 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 23589337, DOI