Topological Design of Structures Using a Cellular Automata Method
Yixian Du1,2,3,4, De Chen1, Xiaobo Xiang1, Qihua Tian1, Yi Zhang1
CMES-Computer Modeling in Engineering & Sciences, Vol.94, No.1, pp. 53-75, 2013, DOI:10.3970/cmes.2013.094.053
Abstract Topological design of continuum structures usually involves numerical instabilities, such as checkerboards and mesh-dependency, which degenerate the manufacturability, the efficiency and the robustness of the optimal design. This paper will propose a new topology optimization method to suppress numerical instabilities occurred in the topology optimization of continua, according to the principle of error amplifier and feedback control in the control system. The design variables associated with topological design are updated based on the Cellular Automata (CA) theory. A couple of typical numerical examples are used to demonstrate the effectiveness of the proposed method in effectively suppressing numerical instabilities occurred in… More >
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