A simple heuristic for gray-scale suppression in optimality criterion-based topology optimization

Structural and Multidisciplinary Optimization

Volumn 39, Issue 2, 2009, Pages 217-225

  Groenwold, Albert A ^a   Etman, L F P ^b  

^a STELLENBOSCH UNIVERSITY   (South Africa)

^b EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Gray scale suppression; Optimality criterion (OC); SIMP; Topology optimization

Indexed keywords

BLACK-AND-WHITE DESIGN; GRAY SCALE; GRAY-SCALE SUPPRESSION; MATLAB CODE; OPTIMALITY CRITERIA; OPTIMALITY CRITERION (OC); SIMP; SUPPRESSION TECHNIQUE; TO EFFECT; TOPOLOGY OPTIMIZATION;

HEURISTIC METHODS; MATLAB; STRUCTURAL OPTIMIZATION;

TOPOLOGY;

EID: 67650242035     PISSN: 1615147X     EISSN: 16151488     Source Type: Journal    
DOI: 10.1007/s00158-008-0337-1     Document Type: Article

References (18)

1. M Beckers 1996 Topology optimization using a dual method with discrete variables Struct Optim 11 102 112
2. M Bendsøe 1989 Optimal shape design as a material distribution problem Struct Optim 1 193 202
3. Bendsøe M (1995) Optimization of structural topology, shape and material. Springer, Berlin
4. M Bendsøe N Kikuchi 1988 Generating optimal topologies in structural design using a homogenization method Comput Methods Appl Mech Eng 71 2 197 224
5. Bendsøe M, Sigmund O (2003) Topology optimization: theory, methods and applications. Springer, Berlin
6. T Bruns 2005 A reevaluation of the SIMP method with filtering and an alternative formulation for solid-void topology optimization Struct Multidisc Optim 30 428 436
7. KT Cheng N Olhoff 1982 Regularized formulation for optimal design of axisymmetric plates Int J Solids Struct 18 153 169
8. A Groenwold L Etman 2008 On the equivalence of optimality criterion methods and sequential approximate optimization in the classical topology layout problem Int J Numer Methods Eng 73 297 316
9. N Olhoff K Lurie A Cherkaev A Fedorov 1981 Sliding regimes and anisotropy in optimal design of vibrating axisymmetric plates Int J Solids Struct 17 931 948 (Pubitemid 12433554)
10. Rozvany G, Zhou M (1991) Applications of COC method in layout optimization. In: Eschenauer H, Mattheck C, Olhoff N (eds) Proc. engineering optimization in design processes. Springer, Berlin, pp 59-70 (Pubitemid 21724009)
11. Sigmund O (1994) Design of material structures using topology optimization. PhD thesis, Technical University of Denmark, Department of Solid Mechanics
12. O Sigmund 1997 On the design of compliant mechanisms using topology optimization Mech Struct Machines 25 495 526
13. O Sigmund 2001 A 99 line topology optimization code written in Matlab Struct Multidisc Optim 21 120 127 (Pubitemid 32535047)
14. O Sigmund 2007 Morphology-based black and white filters for topology optimization Struct Multidisc Optim 33 401 424 (Pubitemid 46362319)
15. K Svanberg M Werme 2005 A hierarchical neighborhood search method for topology optimization Struct Multidisc Optim 29 325 340
16. M Wang S Zhou H Ding 2004 Nonlinear diffusions in topology optimization Struct Multidisc Optim 28 262 276
17. M Zhou G Rozvany 1991 The COC method. Part II. Topological, geometrical and generalized shape optimization Comput Methods Appl Mech Eng 40 1 26
18. M Zhou Y Shyy H Thomas 2001 Checkerboard and minimum member size control in topology optimization Struct Multidisc Optim 21 152 158 (Pubitemid 32535050)