[1]李桂荣,秦荣,韩文学.QR法在MATLAB中的实现[J].山东建筑大学学报,2009,(02):103.
 LI Gui-rong,QIN Rong,HAN Wen-xue.The realization of QR-method in MATLAB[J].Journal of Shandong jianzhu university,2009,(02):103.
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QR法在MATLAB中的实现()
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《山东建筑大学学报》[ISSN:1673-7644/CN:37-1449/TU]

卷:
期数:
2009年02期
页码:
103
栏目:
研究论文
出版日期:
2009-04-15

文章信息/Info

Title:
The realization of QR-method in MATLAB
作者:
李桂荣1 秦荣2 韩文学3
1.山东建筑大学 土木工程学院,山东 济南250101;
2.广西大学 土木建筑工程学院,广西 南宁530004;
3.山东三力建筑设计有限公司,山东 济南250100;
Author(s):
LI Gui-rong1QIN Rong2HAN Wen-xue3
1. School of Civil Engineering, Shandong Jianzhu University, Jinan 250101, China;
2. School of Civil and Architectural Engineering, Guangxi University, Nanning 530004, China;
3. Shandong Sanli Architecture Design Co., Ltd. , Jinan 250101, China;
关键词:
QR法样条函数法结构分析MATLAB
Keywords:
QR-method spline function-method structural analysis MATLAB
分类号:
TU311.41
文献标志码:
A
摘要:
针对有限单元法中未知量数目很多的缺点,QR法建立起单元结点位移向量与整个框架样条结点位移向量的转化关系,使得结构总刚度矩阵、阻尼矩阵、质量矩阵可以直接叠加,不需要有限单元法中先扩张后叠加的手续,大大简化了计算过程,提高计算速度。本文基于位移参数构造样条函数法,结合MATLAB语言的矩阵运算优势,编制了用QR法进行结构分析的MATLAB程序,实现了QR法在MATLAB语言中的应用。算例分析并与有限单元法计算结果对比说明QR法的经济有效性。
Abstract:
For some shortcomings of unknown quantity numbers in finite element method, QR-method establishes a transformed relationship between a unit node displacement vector and the entire framework of spline node displacement vector,making the structure of the total stiffness matrix, damping matrix, mass matrix directly superimposed in no need of finite element method in the first expansion after the superposition process. So the method greatly simplifies the calculation process and improves computing speed. The spline function-method is constructed by displacement parameter in this study. Taking the advantage of matrix operation in MATLAB language, QR-method is programmed into MATLAB language for structural analysis and it can be operated in MATLAB language. In light of example and analysis, QR-method is proved more economical and valid, compared to the calculation in the finite element analysis.
更新日期/Last Update: 2009-05-20