Abstract
This note puts forward a direct variational derivation of the optimality criteria of a class of Michell-like structures in which some members are a priori given; an alternative derivation was published in Rozvany et al. (Struct Multidisc Optim 31:373–377, 2006).
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References
Lewiński T (2004) Michell structures formed on surfaces of revolution. Struct Multidisc Optim 28:20–30
Rozvany GIN (1989) Structural design via optimality criteria. Kluwer, Dordrecht
Rozvany GIN, Querin OM, Lógo J, Pomezanski V (2006) Exact analytical theory of topology optimization with some pre-existing members or elements. Struct Multidisc Optim 31:373–377.
Strang G, Kohn RV (1983) Hencky-Prandtl nets and constrained Michell trusses. Comput Methods Appl Mech Eng 36:207–222
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Lewiński, T. Variational proof of optimality criteria for Michell structures with pre-existing members. Struct Multidisc Optim 32, 81–83 (2006). https://doi.org/10.1007/s00158-006-0014-1
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DOI: https://doi.org/10.1007/s00158-006-0014-1