结构分析QR法的简化研究  

Study on Simplification of QR-method for Structural Analysis

作　　者：潘文军[1,2] 叶献国[1] 

机构地区：[1]合肥工业大学土木与水利工程学院,安徽合肥230009 [2]广西科技大学土木建筑工程学院,广西柳州545006

出　　处：《宁夏大学学报（自然科学版）》2016年第1期44-48,共5页Journal of Ningxia University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(51378167)

摘　　要：根据结构分析QR法的基本原理,探讨其简化计算格式,包括简化条件、结构位移函数的简化表达,形函数矩阵的简化计算及简化存储,总刚度矩阵和荷载列阵QR变换的分块计算及模块组装,并讨论了不规则结构的样条离散处理办法.采用QR法简化计算程序计算了两个力学模型,并和其他方法的计算结果对比.算例验证了该简化方法的正确性及可行性,拓宽了QR法的应用范围,为结构计算提供了新的途径.According to the basic principal of QR-method for structural analysis,research is carried out on its simplified calculation formats which include the simplified condition,the simplified expression of structural displacement,the simplified calculation and storage of shape function matrix,the block calculation and module assembly of general stiffness matrix and load array for QR transformation.The treatment of spline discretization for irregular structures is discussed as well.Two mechanics models are calculated by the simplified procedure of QR-method and the results are compared with those of other methods.Results show the correctness and feasibility of this simplified approach,which broadens the application of QR-method,provides a new idea for structure calculation,and thus has good theoretical value and application prospect.

关 键 词：结构分析 QR法 样条离散 非均匀划分 简化计算 

分 类 号：TU311.4[建筑科学—结构工程]