Convergence analysis for cellular automata applied to truss design

Engineering Computations (Swansea, Wales)

Volumn 19, Issue 7-8, 2002, Pages 953-969

  Slotta, Douglas J ^a   Tatting, Brian ^b   Watson, Layne T ^b   Gürdal, Zafer ^b   Missoum, Samy ^b  

^a Bradley Department of Electrical and Computer Engineering   (United States)

^b VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

Author keywords

Cellular automata; Parallel computing; Structural analysis

Indexed keywords

ALGORITHMS; CALCULATIONS; COMPUTATIONAL METHODS; CONVERGENCE OF NUMERICAL METHODS; DEGREES OF FREEDOM (MECHANICS); ITERATIVE METHODS; LINEAR EQUATIONS; STRAIN; STRESS CONCENTRATION; STRUCTURAL ANALYSIS; STRUCTURAL OPTIMIZATION; TRUSSES;

BLOCK GAUSS-SEIDEL ITERATION; BLOCK JACOBI ITERATION; CELL DENSITY FACTOR; CELLULAR AUTOMATA; GROUND TRUSS;

AUTOMATA THEORY;

EID: 0036930645     PISSN: 02644401     EISSN: None     Source Type: Journal    
DOI: 10.1108/02644400210450369     Document Type: Article

References (16)

1. Bendsøe, M.P., Ben-Tal, A. and Haftka, R.T. (1991), "New displacement-based methods for optimal truss topology design", Proceedings of the 32nd AIAA/ASME/ASCE/AHS Structures, Structural Dynamics and Material Conference, Baltimore, MD, AIAA Paper 91-1216-CP, pp. 684-96.
2. Bertsekas, D. and Tsitsiklis, J. (1989), "Parallel and distributed computation", Numerical Methods, Prentice Hall, Englewood Cliffs, NJ.
3. Ca, J. and Thierauf, G. (1997), "Evolution strategies in engineering computation", Engineering Optimization, Vol. 29, pp. 177-99.
4. Gaylord, R. and Nishidate, K. (1996), Modeling Nature: Cellular Automata Simulations with Mathematica, Springer-Verlag, New York.
5. Gürdal, Z. and Tatting, B. (2000), "Cellular automata for design of truss structures with linear and nonlinear response", Proceedings of the 41st AIAA/ASME/ASCE/AHS Structures, Structural Dynamics, and Materials Conference, Atlanta, GA, AIAA Paper 2000-1580.
6. Hajela, P. and Kim, B. (1999), "GA based learning in cellular automata models for structural analysis", 3rd World Congress on Structural and Multidisciplinary Optimization, Niagara Falls, NY.
7. Hajela, P. and Kim, B. (2000), "On the use of energy minimization for CA based analysis in elasticity" (in preparation).
8. Issacson, E. and Keller, H. (1966), Analysis of Numerical Methods, Dover, New York.
9. Missoum, S. and Gürdal, Z. (2002), "Topology design using a two-level displacement based approach", Proceedings of the 43rd AIAA/ASME/ASCE/AHS Structures, Structural Dynamics, and Materials Conference, Denver, CO, AIAA Paper 2002-1340.
10. O'Rourke, J. (1994), Computational Geometry in C, Cambridge University Press, Cambridge, MA.
11. Quinn, M. (1993a), Parallel Computing, Theory and Practice, McGraw Hill, New York.
12. Quinn, M. (1993b), Designing Efficient Algorithms for Parallel Computers, McGraw Hill, New York.
13. Tatting, B. and Gürdal, Z. (2000), "Cellular automata for design of two-dimensional continuum structures", Proceedings of the 8th AIAA/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, Long Beach, CA, AIAA Paper 2000-4832.
14. Toffoli, T. and Margolus, N. (1991), Cellular Automata Machines, MIT Press, Cambridge, MA.
15. Weiner, N. and Rosenblunth, A. (1946), "The mathematical formulation of the problem of conduction of impulses in a network of connected excitable elements, specifically in cardiac muscle", Arch. Inst. Cardiol. Mexico, Vol. 16, pp. 205-65.
16. Wolfram, S. (1994), Cellular Automata and Complexity: Collected Papers, Addison-Wesley, Reading, MA.