细胞自动机方法解小挠度薄板弯曲问题  

Cellular Automata Method for Analysis of Bending Plate

作　　者：杨吉新[1] 沈成武[1] 陈定方[1] 

机构地区：[1]武汉理工大学交通工程学院,武汉430063

出　　处：《力学季刊》2002年第2期260-264,共5页Chinese Quarterly of Mechanics

基　　金：国家自然科学基金(批准号:19772038)

摘　　要：固体力学中的细胞自动机方法是一种分析固体力学问题的新方法,它将结构的静平衡认为是在力和位移边界条件下,物体元胞间的自组织过程,它不需要象现有有限元那样形成整体刚度矩阵和求解整体平衡方程,对计算机容量要求低,可望成为分析大型结构的有效方法,且特别适宜于并行计算。为拓展其应用范围,本文将其应用于小挠度弹性薄板弯曲的静力计算以检验其可行性。文中给出了详细的计算步骤,以实际算例为基础,探讨了该方法的有效性,并对其优点和目前存在的问题进行了讨论。Cellular automata method is a new computation method in solid mechanics problem. The static equilibrium of structure was regarded as a self-organizing process of cells since all the boundary conditions were satisfied. In the new method, the integral stiff matrix needn't to be formed and to solve the whole e-quation like FEM. So it may have a prospective future. In this paper, cellular Automata Method was applied to solve the problem of bending plate. The procedure of the method calculation were presented. Based on the computing example, its feasibility, advantages and disadvantages were discussed.

关 键 词：细胞自动机 薄板弯曲 力学分析 有限元法 小挠度 

分 类 号：O343.1[理学—固体力学]