一种基于MATLAB的有限元编程方法  

Finite Element Programming Based on MATLAB

作　　者：黄德臣[1] 颜兵兵[1] 

机构地区：[1]佳木斯大学机械工程学院,黑龙江佳木斯154007

出　　处：《佳木斯大学学报（自然科学版）》2011年第3期422-425,共4页Journal of Jiamusi University：Natural Science Edition

基　　金：黑龙江省自然科学基金资助项目(E200805);黑龙江省教育厅科学研究项目(11541355)

摘　　要：为了实现有限元数值分析的程序化,解决方程组求解时需要人工移位的方式,通过对二次杆元有限元分析过程的剖析,给出有限元分析过程中的数值运算及其特点.针对此特点,提出基于单元连通性向量、索引向量、单元刚度矩阵的变换矩阵等的MATLAB程序设计方法.通过数值验证表明该方法满足设计要求.此方法也可拓展到其他结构的有限元分析程序的设计中.In order to realize the programmable design of finite element numerical analysis and solve the problem of manual shift during solving equations,the numerical operation and its characteristics in finite element analysis was described firstly through the analysis to quadratic bar elements.Next,the programming method with powerful MATLAB language in matrix operation was presented based on element connected vectors,index vectors and transformation matrix of element stiffness matrix.It is demonstrated by numerical example that the proposed method can meet the design requirements.This method can also be extended into the other structures programming design of finite element analysis.

关 键 词：刚度矩阵 方程组求解 索引向量 单元连通向量 

分 类 号：TP311.1[自动化与计算机技术—计算机软件与理论]