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COMPUTATIONAL ENGINEERING USING METAPHORS FROM NATURE
Edited by: B.H.V. Topping
Structure Optimization Scheme based on Concept of Cellular Automata
E. Kita and T. Toyoda
School of Informatics and Sciences, Nagoya University, Nagoya, Japan
E. Kita, T. Toyoda, "Structure Optimization Scheme based on Concept of Cellular Automata", in B.H.V. Topping, (Editor), "Computational Engineering using Metaphors from Nature", Civil-Comp Press, Edinburgh, UK, pp 191-198, 2000. doi:10.4203/ccp.64.4.1
Keywords: topology and shape optimization, cellular automata, local rule, 2D elastic problem, finite element method.
This paper describes the topology and the shape optimization scheme of the continuum structures using the concept of the cellular automata simulation. The design domain is divided into small square cells. By considering the cells as the elements, the stress analysis of the structure is carried out by finite element method. Then, the design variables are updated according to the local rule. The rule is derived analytically from the optimization problems. The derived rules are applied to the numerical examples in order to discuss the theoretical validity of the formulation and the feature of the rules.
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