Partial relaxation of the orthogonality requirement for classical Michell trusses

Structural Optimization

Volumn 13, Issue 4, 1997, Pages 271-274

  Rozvany, G I N ^a  

^a UNIVERSITY OF DUISBURG ESSEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CONSTRAINT THEORY; LIGHT WEIGHT STRUCTURES; OPTIMIZATION; STRUCTURAL DESIGN; BEAMS AND GIRDERS; LOADS (FORCES); MATHEMATICAL MODELS; STRESS RELAXATION;

MICHELL TRUSSES; CLASSICAL MICHELL TRUSSES; ORTHOGONALITY; PARTIAL RELAXATION;

TRUSSES; OPTIMIZATION;

EID: 0031150206     PISSN: 09344373     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01197457     Document Type: Article

References (14)

1. Hemp, W. 1973: Optimum structures. Oxford: Clarendon
2. Károlyi, G.; Rozvany, G.I.N. 1997: Exact analytical solutions for non-selfadjoint variable-topology shape optimization problems: perforated cantilever plates in plane stress subject to displacement constraints. Part I. Struct. Optim. 13, 119-127
3. Kohn, R.V.; Strang, G. 1986: Optimal design and relaxation of variational problems, I, II and III. Comm. Pure Appl. Math. 39, 113-137, 139-182, 353-377
4. Lurie, K.A. 1994: Direct relaxation of optimal layout problems for plates. J. Optimiz. Theory Appl. 80, 93-116
5. Lurie, K.A. 1995: An optimal plate. In: Olhoff, N.; Rozvany, G.I.N. (eds.) Proc. WCSMO-1, First World Congress on Structural and Multidisciplinary Optimization (held in Goslar, Germany), pp. 169-176. Oxford: Pergamon
6. Lurie, K.A.; Cherkaev, A.V.; Fedorov, A.V. 1992: Regularization of optimal design problems for bars and plates. I, II and III. J. Optimiz. Theory Appl. 37, 499-522; 37, 523-543; 42, 247-282
7. Lurie, K.A.; Cherkaev, A.V.; Fedorov, A.V. 1992: Regularization of optimal design problems for bars and plates. I, II and III. J. Optimiz. Theory Appl. 37, 499-522; 37, 523-543; 42, 247-282
8. Lurie, K.A.; Cherkaev, A.V.; Fedorov, A.V. 1992: Regularization of optimal design problems for bars and plates. I, II and III. J. Optimiz. Theory Appl. 37, 499-522; 37, 523-543; 42, 247-282
9. Michell, A.G.M. 1904: The limits of economy of material in frame-structures. Phil. Mag. 8, 589-597
10. Rozvany, G.I.N. 1992: Optimal layout theory: analytical solutions for elastic structural with several deflection constraints and load conditions. Struct. Optim. 4, 247-249
11. Rozvany, G.I.N. 1996: Some shortcomings in Michell's truss theory. Struct. Optim. 12, 244-250
12. Rozvany, G.I.N. 1997: Topology optimization: past, present and future. Invited sectional lecture at the 38-th AIAA/ASME/ ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conf. (held in Orlando, FL)
13. Rozvany, G.I.N.; Birker, T. 1995: Generalized Michell structures - exact least-weight truss layouts for combined stress and displacement constraints: Part I - General theory for plane trusses. Struct. Optim. 9, 178-188
14. Rozvany, G.I.N.; Zhou, M.; Birker, T. 1993: Why multiload topology designs based on orthogonal microstructures are in general nonoptimal. Struct. Optim. 6, 200-204