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桁架结构分析的广义逆矩阵力法
引用本文:周其刚.桁架结构分析的广义逆矩阵力法[J].西南交通大学学报,1988(1).
作者姓名:周其刚
摘    要:本文从广义逆矩阵理论出发,利用变形协调条件,用 Moore-Penrose 广义逆直接解桁架结构的平衡方程组,而不象经典力法那样先选择基本结构再求解内力。广义逆矩阵力法使静定桁架和超静定桁架的力法计算全部概括统一起来。文中给出计算公式并附算例。

关 键 词:桁架结构分析  广义逆矩阵  力法

The Force Method Using Generalized Inverse of Matrices
Zhou Qigang.The Force Method Using Generalized Inverse of Matrices[J].Journal of Southwest Jiaotong University,1988(1).
Authors:Zhou Qigang
Institution:Zhou Qigang
Abstract:Based on the theory of generalized inverse of matrices and on the utilization of compatibility,a method of solving the equilibrium equations by Moore-Penrose generalized inverse of the coefficient matrix is given.The procedure of analyzing a truss is different from the classical force method,in which a statically determinate structure must be selected first.The formulae for calculating internal forces of statically determinate and indeterminate trusses are unified and given in details.
Keywords:analysis of truss structures  generalized inverse of matrices  force method  
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