Journal
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
Volume 43, Issue 6, Pages 745-753Publisher
SPRINGER
DOI: 10.1007/s00158-011-0637-8
Keywords
Topology optimization; Probabilistic design; Reliability based design; Benchmark problems; Compliance design; Optimal layout theory
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The aim of this elementary reliability-based truss topology example is to serve as a benchmark for checking on the validity, accuracy and convergence of FE-based numerical topology optimization methods. The above problem has been solved analytically by using an extension of the optimal layout theory (Prager and Rozvany) and the solution has been verified numerically by a first order reliability approach (FORM) combined with a material distribution method (SIMP).
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