Erratum: Exact analytical solutions for some popular benchmark problems in topology optimization. III: L-shaped domains revisited

DOI10.1007/s00158-012-0865-6zbMath1274.74233OpenAlexW1974479240MaRDI QIDQ382008

Tomasz Lewiński, George I. N. Rozvany, Tomasz Sokół, Karol Bołbotowski

Publication date: 15 November 2013

Published in: Structural and Multidisciplinary Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00158-012-0865-6

zbMATH Keywords

topology optimizationMichell trussesminimum weight designground structure

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Topological methods for optimization problems in solid mechanics (74P15) Compliance or weight optimization in solid mechanics (74P05)

Related Items (2)

Analytical solutions for the fractional nonlinear cable equation using a modified homotopy perturbation and separation of variables methods ⋮ Topology optimization benchmarks in 2D: results for minimum compliance and minimum volume in planar stress problems

Uses Software

• Mathematica

Cites Work

• Exact analytical solutions for some popular benchmark problems in topology optimization. III: \(L\)-shaped domains
• A 99 line code for discretized Michell truss optimization written in Mathematica
• Exact analytical solutions for some popular benchmark problems in topology optimization. II: Three-sided polygonal supports
• Extended exact solutions for least-weight truss layouts. I: Cantilever with a horizontal axis of symmetry. II: Unsymmetric cantilevers
• Layout optimization of large‐scale pin‐jointed frames

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