Exact analytical solutions for some popular benchmark problems in topology optimization II: three-sided polygonal supports |
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| Authors: | T. Lewiński G. I. N. Rozvany |
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| Affiliation: | (1) Faculty of Civil Engineering, Institute of Structural Mechanics, Warsaw University of Technology, al. Armii Ludowej 16, 00-637 Warsaw, Poland;(2) Hungarian Academy of Sciences and Budapest University of Technology and Economics, Research Group: Computational Structural Mechanics, Müegyetem rkpt.3, Kmf.35, 1521 Budapest, Hungary |
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| Abstract: | In an earlier paper (Rozvany, Struct Optim 15:42–48, 1998), the second author summarized known analytical solutions for some popular benchmark problems in topology optimization. In this, and in some subsequent papers, further exact optimal topologies are derived for least-weight, stress-controlled trusses, with load and support conditions that are frequently used in benchmark examples for numerical methods in topology optimization. |
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| Keywords: | Least-weight trusses Michell trusses Stress-controlled trusses Line supports Benchmark problems |
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