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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.

Abstract

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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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 64 COMPUTATIONAL ENGINEERING USING METAPHORS FROM NATURE Edited by: B.H.V. Topping Paper IV.1 Structure Optimization Scheme based on Concept of Cellular Automata E. Kita and T. Toyoda School of Informatics and Sciences, Nagoya University, Nagoya, Japan doi:10.4203/ccp.64.4.1 purchase the full-text of this paper Full Bibliographic Reference for this paper 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. Abstract 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. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £52 +P&P)
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