On extending the range of Michell-like optimal topology structures

Structural and Multidisciplinary Optimization

Volumn 29, Issue 2, 2005, Pages 85-92

  Melchers, R E ^a  

^a UNIVERSITY OF NEWCASTLE   (Australia)

Author keywords

Design; Elastic; Minimum weight; Optimum; Topology; Trusses

Indexed keywords

CANTILEVER BEAMS; CONSTRAINT THEORY; ELASTICITY; STRESS ANALYSIS; TOPOLOGY; TRUSSES;

GEOMETRIC CONSTRAINTS; MICHELL TRUSS; MININUM-WEIGHT; OPTIMUM;

STRUCTURAL DESIGN;

EID: 17444380100     PISSN: 1615147X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00158-004-0469-x     Document Type: Article

References (15)

1. Chan, H.S.Y. 1963: Optimal Michell frameworks for three parallel" forces. Report No. 167, College of Aeronautics, Cranfield, UK
2. Chan, H.S.Y. 1964: Tabulation of some layouts and virtual displacement fields in the theory of Michell optimal structures. Note No. 161, College of Aeronautics, Cranfield, UK
3. Chan, H.S.Y. 1975: Symmetric plane frameworks of least weight. In: Sawczuk, A; Mroz, Z. (eds.) Optimization in Structural Design, Proc. IUTAM Symp, (1973), Warsaw, 313-326
4. Hemp, W.S. 1973: Optimal Structures. Oxford: Clarendon
5. Lewinski, T.; Zhou, M.; Rozvany, G.I.N. 1994: Extended exact least-weight truss layouts - Part II: Cantilever with horizontal axis of symmetry. Int J Mech Sci 36, 399-419
6. McConnell, R.E. 1974: Least-weight frameworks for loads across span. J Eng Mech ASCE 100(EM5), 885-901
7. Michell, A.G.M. 1904: The limits of economy of material in framed structures. Phil Mag 8, 589-597
8. Rozvany, G.I.N. 1989: Structural design via optimality criteria. Dordrecht: Kluwer
9. Rozvany, G.I.N. 1994: Topological optimization of grillages. Int J Mech Sci 36(6), 495-512
10. Rozvany, G.I.N. 1996: Some shortcomings in Michell's truss theory. Struct Optim 12, 244-250
11. Rozvany, G.I.N. 1997: Partial relaxation of the orthogonality requirement for classical Michell structures. Struct Optim 13, 271-274
12. th IUTAM Congress (IC-TAM2000), Chicago, Paper HE1
13. Rozvany, G.I.N.; Bendsoe, M.P.; Kirsch, U. 1995: Layout optimization of structures. Appl Mech Rev 48(2), 41-119
14. Rozvany, G.I.N.; Gollub, W.; Zhou, M. 1997: Exact Michell trusses for various combinations of line supports. Part II, Struct Optim 14, 138-149
15. Wang, X.; Wang, M.Y.; Guo, D. 2004: Structural shape and topology optimisation in a level-set-based framework of region representation. Struct Multidisc Optim 27, 1-19