New analytical benchmarks for topology optimization and their implications. I: Bi-symmetric trusses with two point loads between supports

DOI10.1007/s00158-012-0786-4zbMath1274.74247OpenAlexW2034172295MaRDI QIDQ381857

George I. N. Rozvany, Tomasz Sokół

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/s00158-012-0786-4

zbMATH Keywords

symmetrystress constraintsMichell trussesexact topology optimizationoptimal regions

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 (3)

Exact truss topology optimization: allowance for support costs and different permissible stresses in tension and compression -- extensions of a classical solution by Michell ⋮ New analytical benchmarks for topology optimization and their implications: comments and questions ⋮ Exact least-volume trusses for two symmetric point loads and unequal permissible stresses in tension compression

Uses Software

• Mathematica

Cites Work

• Unnamed Item
• On the solution of the three forces problem and its application in optimal designing of a class of symmetric plane frameworks of least weight
• A 99 line code for discretized Michell truss optimization written in Mathematica
• On symmetry and non-uniqueness in exact topology optimization
• Exact truss topology optimization: allowance for support costs and different permissible stresses in tension and compression -- extensions of a classical solution by Michell
• Optimal design of a class of symmetric plane frameworks of least weight: reply to the paper: Vázquez Espí\ and Cervera Bravo (2011) on the solution of the three forces problem and its application in optimal designing of a class of symmetric plane frameworks of least weight. Discussion on the Michell class concept
• Extended exact solutions for least-weight truss layouts. I: Cantilever with a horizontal axis of symmetry. II: Unsymmetric cantilevers
• The Theory of Optimal Load Transmission by Flexure
• Layout optimization of large‐scale pin‐jointed frames

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