Multi-load truss topology optimization using the adaptive ground structure approach
Tomasz Grzegorz Sokół
AbstractAbstract The paper presents a new method to determine optimal topologies of multi/load trusses which can be regarded as generalized Michell structures subjected to multiple load conditions. The method is based on the adaptive ground structure approach and stress/based formulation of the optimization problem. It leads to a huge but linear programming problem. Thus, from definition, the proposed method assures finding the global optimum for the given discretization of the design domain, represented here by the fully connected ground structure. The method makes use of both active set and interior point methods and allows solving a large/scale optimization problem even with more than billion of design variables. The efficiency and robustness of the proposed method have been confirmed in several benchmark tests. Moreover, an important result of this research is finding a new exact/analytical solution of a specific symmetrical two/load case problem. This solution was predicted numerically using the method described above, and then adjusted to obtain the exact formulae describing the layout of the optimal structure using the concept of component loads .
|Publication size in sheets||0.3|
|Book||Łodygowski T. (eds.): 20th International conference on computer methods in mechanics - CMM Short papers. CMM, 2013, Poznań, Poznań University of Technology, ISBN 978-83-89333-51-3, 522 p.|
|Keywords in English||topology optimization, Michell trusses, minimum weight design, interior point method|
|Publication indicators||= 8|
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