Topological optimization of continuum structures with design-dependent surface loading - Part II: Algorithm and examples for 3D problems

Structural and Multidisciplinary Optimization

Volumn 27, Issue 3, 2004, Pages 166-177

  Du, J ^a   Olhoff, N ^a  

^a AALBORG UNIVERSITY   (Denmark)

Author keywords

Design dependent loading; Serendipity surface element; Surface integral; Three dimensional (3D) structures loading surface; Topology design

Indexed keywords

ALGORITHMS; COMPUTATIONAL METHODS; IDENTIFICATION (CONTROL SYSTEMS); OPTIMIZATION; STRUCTURAL ANALYSIS; STRUCTURAL DESIGN; STRUCTURAL LOADS; TOPOLOGY;

DESIGN-DEPENDENT LOADING; SERENDIPITY SURFACE ELEMENTS; SURFACE INTEGRALS; THREE DIMENSIONAL (3D) STRUCTURES LOADING SURFACES; TOPOLOGY DESIGN;

CONTINUUM MECHANICS;

EID: 3042643729     PISSN: 1615147X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00158-004-0380-5     Document Type: Article

References (25)

1. Bendsøe, M.P.; Kikuchi, N. 1988: Generating optimal topologies in structural design using a homogenization method. Comput Methods Appl Mech Eng 71(2). 197-224
2. Bendsøe, M.P. 1989: Optimal shape design as a material distribution problem. Struct Optim 1, 193-202
3. Bendsøe, M.P.; Sigmund, O. 1999: Material interpolation schemes in topology optimization. Arch Appl Mech 69, 635-654
4. Bendsøe, M.P.: Sigmund, O. 2003: Topology Optimization: Theory, Methods and Applications. Berlin Heidelberg New York: Springer
5. Bourdin, B.; Chambolle, A. 2001: Design-dependent loads in topology optimization. Report, Cahiers du CEREMADE No. 01-21, 2001, Université de Paris-Dauphine, France
6. Chen, B.; Kikuchi, N. 2001: Topology optimization with design-dependent loads. Finite elements anal des 37, 57-70
7. Cheng, G.; Olhoff, N. 1982: Regularized formulation for optimal design of axisymmetric plates. Int J Solids Struct 18, 153-169
8. Du, J. 2001: An approach to computational solution for the optimal design of materials and topology of 2D and 3D continuum structures. In: Proc. WCSMO-4, Fourth World Congress of Structural and Multidisciplinary Optimization (held in Dalian, China, 4-8 June 2001)
9. Du, J.; Taylor, J.E. 2002: Application of an energy-based model for the optimal design of structural materials and topology. Struct Multidisc Optim 24, 277-292
10. Du, J.; Olhoff, N. 2004 (in press): Topological optimization of continuum structures with design-dependent surface loading - Part I: new computational approach for 2D problems. Struct Multidisc Optim. DOI 10.1007/s00158-004-0379-y
11. Eschenauer, H.; Olhoff, N. 2001: Topology optimization of continuum structures: A review. Appl Mech Rev 54(4). 331-389
12. Guedes, J.M.; Taylor, J.E. 1997: On the prediction of material properties and topology for optimal continuum structures. Struct Optim 14, 193-199
13. Haftka, R.T. 1985: Simultaneous analysis and design. AIAA J 23(7), 1099-1103
14. Hammer, V.B.; Olhoff, N. 2000: Topology optimization of continuum structures subjected to pressure loading. Struct Multidisc Optim 19(2), 85-92
15. Hulme, K.F.; Bloebaum, C.L. 2000: A simulation-based comparison of multidisciplinary design optimization solution strategies using CASCADE. Struct Multidisc Optim 19(1), 17-35
16. Maute, K.; Ramm, E. 1995: Adaptive topology optimization. Struct Optim 10, 100-112
17. Olhoff, N.; Rønholt, E.; Scheel, J. 1998: Topology optimization of three-dimensional structures using optimum microstructures. Struct Optim 16(1), 001-018
18. Rozvany, G.I.N.; Zhou, M. 1991: Applications of the COC method in layout optimization. In: Eschenauer, H.; Mattheck, C.; Olhoff, N. (eds.), Proc. Int. Conf. on Engineering Optimization in Design Processes (held in Karlsruhe, 1990), pp. 59-70. Berlin Heidelberg New York: Springer
19. Rozvany, G.I.N.; Zhou, M.; Birker, T. 1992: Generalized shape optimization without homogenization. Struct Optim 4, 250-252
20. Rozvany, G.I.N.; Bendsøe, M.P.; Kirsch, U. 1995: Layout optimization of structures. Appl Mech Rev 45, 41-119
21. Rozvany, G.I.N. 2001: Topology optimization in structural mechanics. Struct Multidisc Optim 21(2), 90-108
22. Rozvany, G.I.N. 2001: On design-dependent constraints and singular topologies. Struct Multidisc Optim 21, 164-172
23. Taylor, J.E. 1998: An energy model for the optimal design of linear continuum structures. Struct Optim 16(2/3), 116-127
24. Taylor, J.E. 2000: Addendum to: An energy model for the optimal design of linear continuum structures. Struct.Multidisc Optim 19(4), 317-320
25. Wilson, E.L.; Taylor, R.L.; Doherty, W.P.; Ghaboussi, J. 1973: Incompatatible displacement models. Numerical and Computer Methods in Structural Mechanics. Fenves, S.J. et al. (eds). New York: Academic Press