Abstract
This note discusses the least-weight layout of a truss having support conditions similar to those for a clamped deep beam. Numerical solutions are presented and confirmed by analytical considerations based on Michell's optimality criteria.
References
Allaire, G.; Kohn, R.V. 1993: Topology design and optimal shape design using homogenization.Proc. NATO ARW “Topology Design of Structures” (held in Sesimbra, Portugal), pp. 207–219. Dordrecht: Kluwer
Bendsøe, M.P. 1989: Optimal shape design as a material distribution problem.Struct. Optim. 1, 193–202
Chan, H.S.Y. 1960: The design of Michell optimum structures.Rep. Coll. Aeronaut. Cranfield 142
Chan, H.S.Y. 1975: Symmetric plane frameworks of least weight. In: Sawczuk, A.; Mróz, Z. (eds.)Optimization in Structural Design (Proc. IUTAM Symp. held in Warsaw, 1973), pp. 313–326. Berlin, Heidelberg, New York: Springer
Hemp, W.S. 1973:Optimum structures. Oxford: Clarendon
Hemp, W.S. 1974: Michell frameworks for uniform load between fixed supports.Eng. Optim. 1, 61–69
Lund, E.; Birker, T.; Rasmussen, J. 1991: CAOS, computer aided optimization system.Rep. Inst. Mech. Eng. Aalborg Univ. 9
Michell, A.G.M. 1904: The limits of economy of material in frame structures.Phil. Mag. 8, 589–597
Rozvany, G.I.N.; Olhoff, N.; Bendsøe, M.P.; Ong, T.G.; Sandler, R.; Szeto, W.T. 1987: Least-weight design of perforated elastic plates I, II.Int. J. Solids Struct. 23, 521–536, 537–550
Rozvany, G.I.N.; Zhou, M.; Birker, T. 1992: Generalized shape optimization without homogenization.Struct. Optim. 4, 250–252
Zhou, M.; Rozvany, G.I.N. 1991: The COC algorithm, part II: topological, geometrical and generalized shape optimization.Comp. Meth. Appl. Mech. Eng. 89, 309–336
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on leave from Warsaw University of Technology
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Rozvany, G.I.N., Lewiński, T., Sigmund, O. et al. Optimal topology of trusses or perforated deep beams with rotational restraints at both ends. Structural Optimization 5, 268–270 (1993). https://doi.org/10.1007/BF01743591
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DOI: https://doi.org/10.1007/BF01743591