TY  - EJOU
AU  - Du, Yixian  
AU  - Chen, De  
AU  - Xiang, Xiaobo  
AU  - Tian, Qihua  
AU  - Zhang, Yi  

TI  - Topological Design of Structures Using a Cellular Automata Method
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2013
VL  - 94
IS  - 1
SN  - 1526-1506

AB  - 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 the numerical procedure of topology optimization.
KW  - Topology optimization
KW  -  Cellular automata
KW  -  Numerical instability

DO  - 10.3970/cmes.2013.094.053