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Structural and Multidisciplinary Optimization
Published in: Structural and Multidisciplinary Optimization 5/2011

01-11-2011 | Authors’ Reply

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 (2011, Struct Multidisc Optim 43:297–317)

Author: George I. N. Rozvany

Published in: Structural and Multidisciplinary Optimization | Issue 5/2011

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Abstract

It is explained in this reply that the author fully agrees with the writers of the discussion, because findings of similar nature were introduced already in the original article. Further counter-examples demonstrating the range of validity of the author’s propositions are also presented.
previous article Discussion on symmetry of optimum topology design
next article On the solution of the three forces problem and its application in optimal designing of a class of symmetric plane frameworks of least weight

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Literature
Cheng G, Liu X (2011) Discussion on symmetry of optimum topology design. Struct Multidisc Optim
Graczykowski C, Lewiński T (2006a) Michell cantilevers constructed within trapezoidal domains—Part I: geometry of Hencky nets. Struct Multidisc Optim 32:347–368CrossRef
Graczykowski C, Lewiński T (2006b) Michell cantilevers constructed within trapezoidal domains—Part II: virtual displacement fields. Struct Multidisc Optim 32:463–471CrossRef
Graczykowski C, Lewiński T (2007a) Michell cantilevers constructed within trapezoidal domains—Part III: force fields. Struct Multidisc Optim 33:1–19CrossRef
Graczykowski C, Lewiński T (2007b) Michell cantilevers constructed within trapezoidal domains—Part IV: complete exact solutions of selected optimal designs and their approximations by trusses of finite number of joints. Struct Multidisc Optim 33:113–129CrossRef
Rozvany GIN (2011) On symmetry and non-uniqueness in exact topology optimization. Struct Multidisc Optim 43:297–307MathSciNetCrossRef
Stolpe M (2010) On some fundamental properties of structural topology optimization problems. Struct Multidisc Optim 41:661–670CrossRef
Metadata
Title
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 (2011, Struct Multidisc Optim 43:297–317)
Author
George I. N. Rozvany
Publication date
01-11-2011
Publisher
Springer-Verlag
Published in
Structural and Multidisciplinary Optimization / Issue 5/2011
Print ISSN: 1615-147X
Electronic ISSN: 1615-1488
DOI
https://doi.org/10.1007/s00158-011-0703-2

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