Cellular Automata paradigm for topology optimisation

Solid Mechanics and its Applications

Volumn 137, Issue , 2006, Pages 169-180

  Abdalla, Mostafa M ^a   Setoodeh, Shahriar ^a   Gürdal, Zafer ^a  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Biomemetics; Cellular Automata; Topology optimisation

Indexed keywords

BIOMIMETICS; CELLULAR AUTOMATA; TOPOLOGY;

BIOLOGICALLY INSPIRED; BIOMEMETICS; COMBINED ANALYSIS; LOCAL UPDATE RULES; TOPOLOGY OPTIMISATION;

STRUCTURAL OPTIMIZATION;

EID: 79952340852     PISSN: 18753507     EISSN: None     Source Type: Book Series    
DOI: 10.1007/1-4020-4752-5_17     Document Type: Conference Paper

References (26)

1. Abdalla, M. and Gurdal, Z. (2002) Structural design using optimality based cellular automata, In 43th AIAA/ASME/ AHS/ASC Structures, Structural Dynamics and Material Conference, Denver, CO, AIAA-2002-1676.
2. Abdalla, M., Kim, S. and Gurdal, Z. (2004) Multigrid accelerated cellular automata for structural design optimization: A 1-d implementation, in 45th AIAA/ASME/ ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, Palm Springs, CA, AIAA Paper 2004-1644.
3. Canyurt, O. and Hajela, P. (2004) A sand approach based on cellular computation models for analysis and optimization, in 45th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics & Materials Conference, Palm Springs, CA.
4. Diaz, A. and Sigmund, O. (1995) Checkerboard patterns in layout optimization, Structural and Multidisciplinary Optimization, 10, 40-45.
5. Gurdal, Z. and Tatting, B. (2000) Cellular automata for truss structures with linear and nonlinear response, in 41st AIAA/ASME/ AHS/ASC Structures, Structural Dynamics and Material Conference, AIAA-2000-1580.
6. Hajela, P. (1998) Implications of artificial life simulations in structural analysis and design, in 39th AIAA/ASME/ AHS/ASC Structures, Structural Dynamics and Material Conference, Long Beach, CA, AIAA-1998-1775.
7. Hajela, P. and Kim, B. (2001) On the use of energy minimization for ca based analysis in elasticity, Structural and Multidisciplinary Optimization, 23, 24-33. (Pubitemid 34271936)
8. Hajela, P. and Kirn, B. (2000) On the use of energy minimization for ca based analysis in elasticity, in 41st AIAA/ASME/ AHS/ASC Structures, Structural Dynamics and Material Conference, Atlanta, GA, AIAA-2000-2003.
9. Hartka, T., Jones, M., Gurdal, Z. and Abdalla,M. (2004) A reconfigurable approach to structural engineering design computations, in IEEE Conference on Reconfigurable Computing.
10. Kita, E. and Toyoda, T. (2000) Structural design using cellular automata, Structural and Multidisciplinary Optimization, 19, 64-73.
11. Maar, O. and Schulz, V. (2000) Interior point multigrid methods for topology optimization, Structural and Multidisciplinary Optimization, 19, 214-224.
12. Missoum, S., Abdalla, M.M. and Gurdal, Z. (2003a) Nonlinear design of trusses under multiple loads using cellular automata, in 5th World Congress in Structural and Multidisciplinary Optimization, Lido diJesolo, Italy.
13. Missoum, S., Abdalla, M.M. and Gurdal, Z. (2003b) Nonlinear topology design of trusses using cellular automata, in 44th AIAA/ASME/ AHS/ASC Structures, Structural Dynamics and Material Conference, Norfolk, VA, AIAA-2003-1445.
14. Missoum, S., Gurdal, Z. and Setoodeh, S. (2005) Study of a new local update scheme for cellular automata in structural design, Structural and Multidisciplinary Optimization, 29, 103-112. (Pubitemid 40536308)
15. Rahmatalla, S. and Swan, C.C. (2003) Continuum topology optimization of buckling-sensitive structures, AIAA Journal, 41, 1180-1189.
16. Setoodeh, S., Abdalla, M. and Gurdal, Z. (2005a) Combined topology and fiber path design of composite layers using cellular automata, Structural and Multidisciplinary Optimization, 30, 413-421. (Pubitemid 41720542)
17. Setoodeh, S., Adams, D.B., Gurdal, Z. and Watson, L.T. (2005b) Pipeline implementation of cellular automata for structural design on message-passing multiprocessors, Mathematical and Computer Modelling.
18. Sigmund, O. and Petersson, J. (1998) Numerical instabilities in topology optimization: A survey on procedures dealing with checkerboards, mesh-dependencies and local minima, Structural Optimization, 16, 68-75. (Pubitemid 128647652)
19. Slotta, D.J., Tatting, B.,Watson, L.T., Gurdal, Z. and Missoum, S. (2002) Convergence analysis for cellular automata applied to truss design, Engrg. Comput., 19, 953-969.
20. Tatting, B. and Gurdal, Z. (2000) Cellular automata for design of two-dimensional continuum structures, Presented at the 8th AIAA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, AIAA-2000-4832.
21. Tovar, A., Patel, N., Renaud, J. and Agarwal, H. (2005) Optimality of the hybrid cellular automata, in 46th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, Austin, TX, AIAA 2005-1898.
22. Tovar, A., Niebur, G.L., Sen,M. and Renaud, J.E. (2004a) Bone structure adaptation as a cellular automaton optimization process, in 45th AIAA/ASME/ASCE/AHS/ASCStructures, Structural Dynamics & Materials Conference, Palm Springs, CA.
23. Tovar, A., Patel, N., Kaushik, A.K., Letona, G.A. Renaud, J.E. and Sanders, B. (2004b) Hybrid cellular automata: A biologically-inspired structural optimization technique, in 10th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, Albany, NY, AIAA 2004-4558.
24. Ulam, S. (1952) Random processes and transformations, in Proceedings of the International Congress of Mathematics, Vol. 2, pp. 85-87.
25. von Neumann, J. (1966) Theory of Self-Reproducing Automata, University of Illinois Press.
26. Wolfram, S. (1994) Cellular Automata and Complexity: Collected Papers, Addison-Wesley Publishing Company.