三维有限元网格节点编号优化  

Optimization of Node Numbering in 3D Finite Element

作　　者：江雄心[1] 万平荣[1] 

机构地区：[1]南昌大学,江西南昌330031

出　　处：《工程图学学报》2008年第4期22-26,共5页Journal of Engineering Graphics

摘　　要：在有限元分析中,节点编号对整体刚度矩阵的带宽起着决定性的作用。优化网格节点编号的目的是为了减小同一单元中的相关节点编号之间的差值,从而减小整体刚度矩阵的带宽。基于有限元网格的拓扑分析,提出通过有限元网格的整体拓扑阵和单元—节点拓扑阵,对AKHRAS和DHATT方法进行改进,开发了一种有限元网格的节点编号优化的新方法。实例应用表明该方法执行效率高,计算速度快。In finite element analysis, node numbering plays a decisive role in determining the bandwidth of the global stiff matrix. The aim to optimize node numbering is to minimize the difference between the correlative nodes in an element, then to minimize the bandwidth of the global stiff matrix. Based on the whole topology matrix and the element-node topology matrix of the finite element meshes, node numbering is optimized. The consumed time is effectively reduced, and the calculating efficiency is improved.

关 键 词：计算机应用 有限元法 节点编号 优化 

分 类 号：TP391.75[自动化与计算机技术—计算机应用技术]