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Home Selected publications New analytical benchmarks for topology optimization and their implications. Part I: bi-symmetric trusses with two point loads between supports
New analytical benchmarks for topology optimization and their implications. Part I: bi-symmetric trusses with two point loads between supports PDF Print E-mail
structural optimizationNew analytical benchmarks for topology optimization and their implications. Part I: bi-symmetric trusses with two point loads between supports, Tomasz Sokół · George I. N. Rozvany
Structural and Multidisciplinary Optimization, vol. 46 (4) (2012), 477-486,
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Extending some results by Sokół and Lewiński (Struct Multidisc Optim 42:835–853, 2010), the optimal topology of bi-symmetric trusses with two symmetrically placed pointloads is determined analytically, and verified by highly accurate numerical calculations. It is rather remarkable that Michell’s best-known classical solution had to wait over hundred years for its generalization from one to two point loads. Some implications of these solutions, including properties of so-called O-regions, are also discussed.

 

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Home Selected publications New analytical benchmarks for topology optimization and their implications. Part I: bi-symmetric trusses with two point loads between supports
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