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Exact analytical solutions for some popular benchmark problems in topology optimization

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Abstract

The aim of this paper is to provide the exact analytical truss solutions for some “benchmark” problems, which are often used as test examples in both discretized layout optimization of trusses and variable topology (or generalized) shape optimization of perforated plates under plane stress.

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Rozvany, G.I.N. Exact analytical solutions for some popular benchmark problems in topology optimization. Structural Optimization 15, 42–48 (1998). https://doi.org/10.1007/BF01197436

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