Michell cantilevers constructed within trapezoidal domains. IV: Complete exact solutions of selected optimal designs and their approximations by trusses of finite number of joints

DOI10.1007/s00158-005-0602-5zbMath1245.74030OpenAlexW1571007714MaRDI QIDQ445499

Tomasz Lewiński, Cezary Graczykowski

Publication date: 25 August 2012

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

Full work available at URL: https://doi.org/10.1007/s00158-005-0602-5

zbMATH Keywords

Michell cantileverstrapezoidal domains

Mathematics Subject Classification ID

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

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Cites Work

• Unnamed Item
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• Michell structures formed on surfaces of revolution
• Michell cantilevers constructed within trapezoidal domains. I: Geometry of Hencky nets
• Michell cantilevers constructed within trapezoidal domains. II: Virtual displacement fields
• Extended exact solutions for least-weight truss layouts. I: Cantilever with a horizontal axis of symmetry. II: Unsymmetric cantilevers
• Nearly optimal design of trusses
• HALF-PLANE SLIP-LINE FIELDS AND MICHELL STRUCTURES

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