Numerical computing method Based on Cellular Automata

摘要

Cellular automata (CA) models are decentralized spatially extended systems consisting of large numbers of simple identical components with local connectivity. Such systems have the potential to perform complex computations with a high degree of efficiency and robustness, as well as to model the behavior of complex systems in nature. A novel numerical computing method based on CA is presented in this paper. In this method the integer analysis of structure is changed into a series of part analysis by using the idea of CA. Using the principle of minimum potential energy for the displacement convergence of all nodes, the non-equilibrium force of every cell is obtained. The overall finite element stiffness matrix and balance equation do not require. It may have a good future in the aspect of large structure because it hardly has any special request on the capability of computer. Simultaneity, It can be developed into a high parallel arithmetic to suit for the request of parallel computer in the future. This method is a good numerical method with great potential. The correctness and effectiveness of the proposed method are demonstrated by some numerical examples.