Michell cantilevers constructed within trapezoidal domains. II: Virtual displacement fields
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Publication:445493
DOI10.1007/s00158-005-0600-7zbMath1245.74054OpenAlexW2036329293MaRDI QIDQ445493
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/s00158-005-0600-7
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)
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On the solution of the three forces problem and its application in optimal designing of a class of symmetric plane frameworks of least weight ⋮ On symmetry and non-uniqueness in exact topology optimization ⋮ Author's reply to a discussion by Gengdong Cheng and Xiaofeng Liu of the review article ``On symmetry and non-uniqueness in exact topology optimization by George I. N. Rozvany ⋮ Geometrical aspects of optimum truss like structures for three-force problem ⋮ Exact truss topology optimization: allowance for support costs and different permissible stresses in tension and compression -- extensions of a classical solution by Michell ⋮ Michell cantilevers constructed within trapezoidal domains. III: Force fields ⋮ Michell cantilevers constructed within trapezoidal domains. IV: Complete exact solutions of selected optimal designs and their approximations by trusses of finite number of joints ⋮ Optimum structure to carry a uniform load between pinned supports: exact analytical solution
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