Topology synthesis of structures under impact loading using a hybrid cellular automaton algorithm

Collection of Technical Papers - 11th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference

Volumn 1, Issue , 2006, Pages 457-475

  Patel, Neal M ^a,b,c   Kang, Byung Soo ^a,b,c   Renaud, John E ^a,b,c  

^a UNIVERSITY OF NOTRE DAME   (United States)

^b Mechanical and Aerospace Engineering   (United States)

^c AIAA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; DYNAMIC LOADS; GRADIENT METHODS; IMPACT TESTING; OPTIMIZATION; STRUCTURAL DESIGN;

DYNAMIC LOADING; HYBRID CELLULAR AUTOMATON (HCA) ALGORITHMS; STATIC LOADING; TOPOLOGY OPTIMIZATION;

STRUCTURES (BUILT OBJECTS);

EID: 33846499746     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.2006-6937     Document Type: Conference Paper

References (22)

1. Bendsoe, M. P. and Kikuchi. N., "Generating Optimal Topologies in Optimal Design using a Homogenization Method," Comp. Mth. Appl. Mech. Engrg., Vol. 71, 1988, pp. 197-224.
2. Tovar, A., Bone Remodeling as a Hybrid Cellular Automaton Optimization Process, Ph.D. thesis, University of Notre Dame, 2004.
3. Min, S., Kikuchi, N., Park, Y. C., Kim, S., and Chang, S., "Optimal topology design of structures under dynamic loads," Computers & Structures, Vol. 17, 1999, pp. 208-218.
4. Venkayya, V. B., "Structural Optimization: A Review and Some Recommendations," International Journal for Numerical Methods in Engineering, Vol. 13, 1978, pp. 203-228.
5. Svanberg, K., "The Method of Moving Asymptotes A New Method for Structural Optimization," Int. J. Numer. Meth. Engrg., Vol. 24, 1987, pp. 359-373.
6. Zhong, Z.-H., Finite Element Procedures for Contact-Impact Problems, Oxford University Press, 1993.
7. Strong, W., Impact Mechanics, D. Van Nostrand Company, Inc., New York, 2000.
8. Bathe, K.-J., Finite Element Procedures, Prentice-Hall. Inc., New Jersey, 1996.
9. Haftka, R. T., Gürdal, Z., and Kamat, M. P., Elements of Structural Optimization, Kluwer Academic Publishers, Dordrecht, The Netherlands, 2nd ed., 1990.
10. Patnaik, S. N. and Hopkins, D. A., "Optimality of fully stressed design," Comput. Meth. Appl. Mech. Engrg, Vol. 165, 1998, pp. 215-221.
11. Mayer, R. R., Kikuchi, N., and Scott, R. A., "Applications of Topology Optimization Techniques to Structural Crash-worthiness," Int. J. Numer. Meth. Engrg., Vol. 39, 1996, pp. 1383-1403.
12. Bendsoe, M. P., "Optimal shape design as a material distribution problem," Comp. Mth. Appl. Mech. Engrg., Vol. 1, 1989, pp. 193-202.
13. Tovar, A., Patel, N. M., A. K. Kaushik, G. A. L., and Renaud, J. E., "Hybrid Cellular Automata: a biologically-inspired structural optimization technique," Proceedings of the 10th AIAA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, No. AIAA 2004-4558, Albany, New York, Aug 30 - Sep. 1 2004.
14. Wolfram, S., A New Kind of Science, Wolfram Media, 2002.
15. Burks, A., Essays on Cellular Automata, chap. Von Neumann's self-reproducing automata, University of Illinois Press, 1970, pp. 3-64.
16. Gardner, M., "The fantastic combinations of John Conway's new solitaire game life," Scientic American, Vol. 220, No. 4, 1970, pp. 120.
17. Inou, N., Shimotai, N., and Uesugi, T., "Cellular automaton generating topological structures," 2nd European Conference on Smart Structures and Materials, No. 2361-08, Glasgow, United Kingdom, October 1994, pp. 47-50.
18. Inou, N., Uesugi. T., Iwasaki, A., and Ujihashi, S., "Self- organization of mechanical structure by cellular automata," Fracture and Strength of Solids, Vol. 145, No. 9, 1998, pp. 1115-1120.
19. Gürdal, Z. and Tatting, B., "Cellular automata for design of truss structures with linear and nonlinear response," Proceedings of the 41st AIAA Structures, Strucutural Dynamics, and Materials Conference, No. 2000-1580, Atlanta, Georgia, April 3-6 2000.
20. Slotta, D., Tatting, B., Watson, L., Gürdal, Z., and Missoum, S., "Convergence analysis for cellular automata applied to truss design," Engineering Computations, Vol. 19, No. 8, 2002, pp. 953-969.
21. Kita, E. and Toyoda, T., "Structural design using cellular automata," Struct. Multidisc. Optim., Vol. 19, 2000, pp. 64-73.
22. Hajela, P. and Kim, B., "On the use if energy minimization for CA based analysis in elasticity," Struct. Multidisc. Optim., Vol. 23, 2001, pp. 24-33.