结构矩阵分析中高斯消元法的物理意义  

On Physical Meaning of Gauss Elimination in Analysis of Structural Matrix

作　　者：陈静[1] 许薇[1] 

机构地区：[1]南通大学,江苏南通226007

出　　处：《连云港职业技术学院学报》2007年第1期3-5,共3页Journal of Lianyungang Technical College

摘　　要：结构矩阵分析中,经常利用高斯消元法来求解未知位移,一般认为高斯消元仅为一种数学过程,而实际其包含着深刻的物理意义。高斯消元法求解方程包括消元和回代两个过程,消元的物理意义为原结构的未知自由度逐步转化为子结构内部自由度,而得到新结构的过程;回代的物理意义为子结构内部自由度逐步释放回到总体结构,最终还原为原结构的过程。In analysis of structure matrix, Gauss elimination method is often used to solve unknown displacement. Gauss elimination is generally known as a maths process, and in face it has deep physical meaning. Elimination and back subsdtution are used to solve equations. The physical meaning of the former is a process of getting a new structure that unknown degree of freedom of primary structure is transformed to internal degree of freedom of substructure; the physical meaning of the latter is a process that internal degree of freedom of substructure is set free back to overall framework.

关 键 词：高斯消元 物理意义 结构刚度矩阵 子结构 自由度 

分 类 号：O151.21[理学—数学]