Structural topology optimization using ant colony methodology

Engineering Structures

Volumn 30, Issue 9, 2008, Pages 2559-2565

  Kaveh, A ^a   Hassani, B ^a   Shojaee, S ^a   Tavakkoli, S M ^a  

^a IRAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Iran)

Author keywords

Ant algorithm; Continuum; Finite elements; Topology Optimization

Indexed keywords

CANNING; FINITE ELEMENT METHOD; FOOD PRESERVATION; MODEL STRUCTURES; STRUCTURAL OPTIMIZATION; THREE DIMENSIONAL; TOPOLOGY;

3-D MODELING; ACO ALGORITHMS; ANT ALGORITHM; ANT COLONIES; ANT-COLONY OPTIMIZATION; CONTINUUM; DISCRETE OPTIMIZATION; DISCRETE PROBLEMS; FINITE ELEMENT ANALYSIS; FINITE ELEMENTS; MAIN EFFECTS; PRESENT METHOD; SHORTEST PATH; STRAIN-ENERGY; STRUCTURAL MODELING; STRUCTURAL TOPOLOGY OPTIMIZATIONS; TOPOLOGY OPTIMIZATION;

OPTIMIZATION;

ALGORITHM; FINITE ELEMENT METHOD; OPTIMIZATION; STIFFNESS; STRUCTURAL ANALYSIS; THREE-DIMENSIONAL MODELING; TOPOLOGY; TWO-DIMENSIONAL MODELING;

FORMICIDAE;

EID: 50349086623     PISSN: 01410296     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.engstruct.2008.02.012     Document Type: Article

References (35)

1. Bendsøe M.P., and Kikuchi N. Generating optimal topologies in structural design using homogenization method. Comput Methods Appl Mech Engrg 71 (1988) 197-224
2. Michell A.G.M. The limits of economy of material in frame structures. Philos Mag 8 (1904) 305-316
3. Haftka R.T., and Gurdal Z. Elements of structural optimization. 3rd ed. (1992), Kluwer Academic Publishers, Dordrecht
4. Kirsch U. Structural optimization (1993), Springer-Verlag, Berlin
5. Rozvany G.I.N., and Zhou M. The COC algorithm, Part I: Cross section optimization or sizing. Comput Methods Appl Mech Engrg 89 (1991) 281-308
6. Schmit L.A., and Farshi B. Some approximation concepts for structural synthesis. AIAA J 12 5 (1974) 692-699
7. Schmit LA, Miura H.. Approximation concepts for efficient structural synthesis. NASA CR-2552. March 1976
8. Vanderplaats G.N., and Salajegheh E. A new approximation method for stress constraints in structural synthesis. AIAA J 27 3 (1989) 352-358
9. Svanberg K. The method of moving asymptotes-A new method for structural optimization. Int J Numer Methods Eng 24 (1987) 359-373
10. Venkayya V.B. Optimality criteria: A basis for multidisciplinary design optimization. Comput Mech 5 (1989) 1-21
11. Rozvany G.I.N., Zhou M., and Gollub W. Continuum-type optimality criteria methods for large finite-element systems with a displacement constraint. Struct Optim 2 2 (1990) 77-104
12. Saxena A., and Ananthasuresh G.K. On an optimal property of compliant topologies. Struct Multidisc Optim 19 (2000) 36-49
13. Rozvany G.I.N. Structural design via optimality criteria (1989), Kluwer Academic Publishers, Dordrecht
14. Rozvany G.I.N., BendsØe M.P., and Kirsch U. Layout optimization of structures. Appl Mech Rev 48 2 (1995) 41-119
15. Rozvany G.I.N., and Zhou M. In: Adeli H. (Ed). Optimality criteria methods for large discretized systems, in advances in design optimization (1994), Chapman & Hall, London 41-108
16. Xie Y.M., and Steven G.P. Evolutionary structural optimization (1993), Springer
17. Xie Y.M., and Steven G.P. A simple evolutionary procedure for structural optimization. Comput Struct (1993) 885-896
18. Liang Q.Q., and Steven G.P. A performance-based optimization method for topology design of continuum structures with mean compliance constraints. Comput Methods Appl Mech Engrg 191 13-14 (2002) 1471-1489
19. Liang Q.Q. Performance-based optimization of structures: Theory and applications (2005), Spon Press, Taylor and Francis Group, London, New York
20. Belytschko T., Xiao S.P., and Parimi C. Topology optimization with implicit functions and regularization. Int J Numer Methods Eng 57 8 (2003) 1177-1196
21. Sethian J., and Wiegmann A. Structural boundary design via level set and immersed interface methods. J Comput Phys 163 2 (2000) 489-528
22. Kane C., and Schoenauer M. Topological optimum design using genetic algorithms. Control Cybern 25 5 (1996) 1059-1088
23. Fanjoy D., and Crossley W. Using a genetic algorithm to design beam cross-sectional topology for bending, torsion, and combined loading. Structural dynamics and material conference and exhibit (2000), AIAA, Atlanta (GA) 1-9
24. Jakiela M.J., Chapman C., Duda J., Adewuya A., and Saitou K. Continuum structural topology design with genetic algorithms. Comput Methods Appl Mech Engrg 186 (2000) 339-356
25. Tagawa H., and Ohsaki M. Simultaneous optimization of topology and geometry of plane trusses with uniform cross-sectional area. J Struct Constr Eng AIJ 521 (1999) 73-80 [in Japanese]
26. Kane C., and Schoenauer M. Topological optimum design using genetic algorithms, Control and Cybernetics. Special Issue on Optimum Design 25 5 (1996) 1059-1088
27. Colorni A, Dorigo N, Maniezzo V.. Distributed optimization by Ant Cology. In: Proceedings of the First European Conference on Artificial Life. USA. 1991. pp. 134-142
28. Dorigo M., Caro G.D., and Gambardella L.M. An algorithm for discrete optimization. Artif Life 5 (1999) 137-172
29. Dorigo M. Optimization, Learning and Natural Algorithms (in Italian). Ph.D. thesis. Dipartimento di Elettronica e Informazione, Politecnico di Milano, IT; 1992
30. Stützle T., and Hoos H. Improvement on the ant system: Introducing MAX-MIN and system. Proceedings of the international conference on artificial neural networks and genetic algorithms (1997), Springer Verlag, Wien 245-249
31. Bullnheimer B, Hartl RF, Strauss CA. New rank-based version of the ant system: a computational study. Technical Report POM-03/97. Institute of Management Science. University of Vienna; 1997
32. Sigmund O. Design of material structures using topology optimization. Ph.D. thesis. Department of Solid Mechanics, Technical University of Denmark; 1994
33. Hassani B., and Hinton E. Homogenization and structural topology optimization: Theory, practice and software (1999), Springer
34. Bendsøe M.P., and Sigmund O. Topology optimization. theory, methods and applications (2003), Springer
35. Kaveh A., and Shojaee S. Optimal design of skeletal Structures using ant colony optimization. Int J Numer Methods Eng 70 (2007) 563-581