Topology optimization for minimum compliance under multiple loads based on continuous distribution of members

Structural and Multidisciplinary Optimization

Volumn 37, Issue 1, 2008, Pages 49-56

  Zhou, Kemin ^a   Li, Xia ^a  

^a HUAQIAO UNIVERSITY   (China)

Author keywords

Compliance; Continuum; Finite element; Topology optimization; Truss

Indexed keywords

OPTIMIZATION; STRUCTURAL DESIGN; TOPOLOGY; TRUSSES;

ANISOTROPIC COMPOSITES; COMPLIANCE; CONSTITUTIVE RELATIONS; CONTINUOUS DISTRIBUTIONS; CONTINUUM; DESIGN DOMAINS; DESIGN VARIABLES; DISCRETE STRUCTURES; FINITE ELEMENT; MATERIAL DISTRIBUTIONS; MATERIAL MODELS; MESH DEPENDENCIES; MINIMUM COMPLIANCES; MULTIPLE LOAD CASES; MULTIPLE LOADS; NUMERICAL INSTABILITIES; TOPOLOGY OPTIMIZATION; TOPOLOGY OPTIMIZATIONS;

STRUCTURAL OPTIMIZATION;

EID: 55849110866     PISSN: 1615147X     EISSN: 16151488     Source Type: Journal    
DOI: 10.1007/s00158-007-0214-3     Document Type: Article

References (20)

1. MP Bendsoe N Kikuchi 1988 Generating optimal topologies in structural design using a homogenization method Comput Meth Appl Mech Eng 71 197 224
2. MP Bendsoe JM Guedes RB Haber P Pedersen JE Taylor 1994 An analytical model to predict optimal material properties in the context of optimal structural design J Appl Mech 61 930 937
3. RB Haber CS Jog MP Bendsoe 1996 A new approach to variable-topology design using a constraint on the perimeter Struct Multidisc Optim 11 1 12
4. HREM Hörnlein M Kočvara R Werner 2001 Material optimization: bridging the gap between conceptual and preliminary design Aerosp Sci Technol 5 541 554
5. Y Hsu M Sho C Chen 2001 Interpreting results from topology optimization using density contours Comput Struct 79 1049 1058
6. K Matsui K Terada 2004 Continuous approximation of material distribution for topology optimization Int J Numer Methods Eng 59 1925 1944
7. AGM Michell 1904 The limits of economy of material in framestructure Phil Mag 8 589 597
8. F Niordson 1982 Optimal design of plate with a constraint on the slop of the thickness function Int J Solids Struct 19 141 151
9. W Prager 1974 A note on discretized Michell structures Comput Methods Appl Mech Eng 3 349 355
10. Prager W, Rozvany GIN (1976) Optimization of the structural geometry. In: Bednarek AR, Cesari L (eds) Dynamical systems (Proceedings of the International Conference in Gainesville, Florida, March, 1976). Academic, New York, pp 265-293
11. Rozvany GIN, Zhou M (1991) Applications of the COC algorithm in layout optimization. In: Eschenauer H, Matteck C, Olhoff N (eds) Engineering optimization in design processes. Proceedings of the International Conference held in Karlsruhe, Germany, Sept. 1990). Springer, Berlin, pp 59-70
12. GIN Rozvany M Zhou T Birker 1992 Generalized shape optimization without homogenization Struct Multidisc Optim 4 250 254
13. O Sigmund 1994 Material with prescribed continuative parameters: an inverse homogenization problem Int J Solids Struct 31 2313 2329
14. YM Xie GP Steven 1993 A simple evolutionary procedure for structures optimization Comput Struct 49 885 896
15. K Zhou J Li 2004 The exact weight of discretized Michell trusses for a central point load Struct Multidisc Optim 28 69 72
16. K Zhou Y Hu 2002 A method of constructing Michell truss using finite element method Acta Mech Sinica 34 935 940
17. K Zhou J Li 2005 Forming Michell truss in three-dimensions by finite element method Appl Math Mech 26 381 388
18. K Zhou X Li 2005 Topology optimization of structures under multiple load cases using a fiber-reinforced composite material model Comput Mech 38 163 170
19. Zhou K, Li X (2006) Influence of finite element mesh on topology optimization based on continuous distribution of members. The Fourth China-Japan-Korea Joint Symposium on Optimization of Structural and Mechanical Systems. Kunming, China, Nov. 6-9 2006, pp 215-218
20. M Zhou GIN Rozvany 1991 The COC algorithm, Part II: topological, geometrical and generalized shape optimization Comput Methods Appl Mech Eng 89 309 336