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Three-dimensional structural design based on cellular automata simulation

  • Kita, E. (Graduate School of Information Sciences, Nagoya University) ;
  • Saito, H. (Graduate School of Human Informatics, Nagoya University) ;
  • Tamaki, T. (Ube National College of Technology) ;
  • Shimizu, H. (Graduate School of Information Sciences, Nagoya University) ;
  • Xie, Y.M. (School of Civil and Chemical Engineering, Royal Melboume Institute of Technology)
  • 투고 : 2005.02.25
  • 심사 : 2006.01.04
  • 발행 : 2006.05.10

초록

This paper describes the design scheme of the three-dimensional structures based on the concept of the cellular automata simulation. The cellular automata simulation is performed according to the local rule. In this paper, the local rule is derived in the mathematical formulation from the optimization problem. The cell density is taken as the design variable. Two objective functions are defined for reducing the total weight of the structure and obtaining the fully stressed structure. The constraint condition is defined for defining the local rule. The penalty function is defined from the objective functions and the constraint condition. Minimization of the penalty function with respect to the design parameter leads to the local rule. The derived rule is applied to the design of the three-dimensional structure first. The final structure can be obtained successfully. However, the computational cost is expensive. So, in order to reduce the computational cost, the material parameters $c_1$ and $c_2$ and the value of the cell rejection criterion (CRC) are changed. The results show that the computational cost depends on the parameters and the CRC value.

키워드

참고문헌

  1. Hassani, B. and Hinton, E. (1999), Homogenization and Structural Topology Optimization. Springer Verlag, 1 edition
  2. Inou, N., Shimotai, N. and Uesugi, T (1994), ' A cellular automaton generating topological structures ', In A. McDonach, P.T Gardiner, R.S. McEwen, and B. Culshaw, editors, Proc. of Second European Conf. on Smart Structures and Materials, 2361
  3. Inou, N., Uesugi, T, Iwasaki, A. and Ujihashi, S. (1998), ' Self-organization of mechanical structure by cellula automata ', In P. Tong, T.Y. Zhang, and J.K. Kim, editors, Fracture and strength of solids Pt 2; Behavior of materials and stnlcture (Proc. 3rd Int. Conf., Hong Kong, 1997), 1115-1120
  4. Kita, E. and Toyoda, T (2000), ' Structural design using cellular automata ', Struct. Optimization, 19, 64-73 https://doi.org/10.1007/s001580050086
  5. Kundu, S., Oda, J. and Koishi, T (1997), ' A self-organizing approach to optimization of structural plates using cellular automata', In W. Gutkowski and Z. Mroz, editors, Structural and multidisciplinary optimization (Proc. 2nd World Congress of Structural and Multidisciplinary Optimization. Zakopane, Poland, 1997, 173-180. Institute of Fundamental Technological Research, Polish Academy of Sciences
  6. Payten, W.M., Ben-Nissan, B. and Mercer, D.J. (1998),' Optimal topology design using a global selforganisational approach ' , Int. J. Solids Struct., 35(3-4), 219-237 https://doi.org/10.1016/S0020-7683(97)00064-4
  7. Sakamoto, J. and Oda, J. (1995), ' Simulation of adaptive bone remodeling by using cellular automata ', In S. Hernandez, M. EI-Sayed, and C.A. Brebbia, editors, Structural optimization (Proc. 4th Int. Conf. on Computer Aided Optimum Design of Structures, Miami, FL, 1995),93-100. Comp. Mech. Pub
  8. The FElt home page. http://www.sourceforge.net. 2000
  9. von Neumann, J. (1951), The General and Logical Theory of Automata -Cerebral Mechanisms in Behavior-, John Wiley & Sons
  10. von Neumann, J. (1966), Theory of Self-Reproducting Automata. Illinoi Univ. Press
  11. Waldrop, M.M. (1992), Complexity, The Emerging Sciences at the Edge of Order and Chaos. Simon & Schuster, 1 edition
  12. Xie, Y.M. and Steven, G.P. (1997), Evolutionary Structural Optimization. Springer Verlag, 1 edition
  13. Zienkiewicz, O.C. and Taylor, R.L. (1991), The Finite Element Method. McGraw-Hill Ltd., 4 edition