Papers by Keyword: Local Rule

Abstract: The Movable Cellular Automata (MCA) method is introduced into the analysis of cutting process, and is employed to build the discretised MCA tool-chip model of orthogonal cutting. The chip breaking and curling rule are proposed to determine the MCA local rule. The simple local rule and discretised method are presented to describe the continuous process of chip’s formation and breaking. The states’ rule of a cell and its neighbors can be used to predict and calculate the chips’ breaking and curling. The numerical calculation and a numerical example in the process of chip breaking and curling are proposed.

Abstract: The Hybrid Cellular Automata (HCA) algorithm has been used by several researchers to optimise structures during the last decade. Close observation of their work shows that the proposed optimisation algorithms are sensitive to the controller (local rule), the design variable and the field variable used. The aim of this work is to identify and understand the important parameters when using the HCA algorithm to optimise structures. For static loading, it is shown that the most important parameters are the design variable, the constraints on the design variable, the local rule, and the mesh density of the structure. The choice of the design variable affects the selection of the target value and the homogeneity of the resulting optimum structure. With constraints on the design variable, it is shown that the algorithm cannot always drive the structure to an optimum solution, as stresses in the resulting structure can be significantly higher than expected. Besides, the choice of the local rule and the mesh density of the structure can affect the convergence rate and may cause the algorithm to arrive at a local optimum rather than the global optimum solution.