Topology optimization of trusses by growing ground structure method |
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Authors: | T Hagishita M Ohsaki |
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Affiliation: | (1) Department of Architecture and Architectural Engineering, Kyoto University, Kyoto-Daigaku Katsura, Nishikyo, Kyoto, Japan |
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Abstract: | A new method called the growing ground structure method is proposed for truss topology optimization, which effectively expands
or reduces the ground structure by iteratively adding or removing bars and nodes. The method uses five growth strategies,
which are based on mechanical properties, to determine the bars and nodes to be added or removed. Hence, the method can optimize
the initial ground structures such that the modified, or grown, ground structures can generate the optimal solution for the
given set of nodes. The structural data of trusses are manipulated using C++ standard template library and the Boost Graph
Library, which help alleviate the programming efforts for implementing the method. Three kinds of topology optimization problems
are considered. The first problem is a compliance minimization problem with cross-sectional areas as variables. The second
problem is a minimum compliance problem with the nodal coordinates also as variables. The third problem is a minimum volume
problem with stress constraints under multiple load cases. Six numerical examples corresponding to these three problems are
solved to demonstrate the performance of the proposed method. |
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Keywords: | Truss Topology optimization Singular optimum Potential strain Growing ground structure C++ template library |
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