Exact analytical solutions for some popular benchmark problems in topology optimization II: three-sided polygonal supports

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 t...

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Bibliographic Details
Published in:Structural and multidisciplinary optimization 2007-04, Vol.33 (4-5), p.337-349
Main Authors: Lewiński, T., Rozvany, G. I. N.
Format: Article
Language:English
Subjects:
Benchmarks
Exact solutions
Numerical methods
Topology optimization
Trusses
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Summary: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.
ISSN:1615-147X
1615-1488
DOI:10.1007/s00158-007-0093-7