摘要
采用双向三次B样条基函数及正交多项式乘积的线性组合,构造了空间钢框架结构分析QR法的整体位移函数,借助于有限元法的离散网格、单元刚度方程,通过单元结点位移和QR法广义位移的变换,建立起QR法的计算格式.基于半刚性连接钢框架结构的基本假定,在单元的刚度矩阵和等效荷载向量中引入无量纲刚度因子,通过刚度因子的不同取值,不但可以分析空间刚接框架、简支框架,还可以分析任意的半刚性连接钢框架.程序计算的结果证明了该算法的正确性及精确性.
By the linear combination of double-dimensional B-spline functions and orthogonal polynomials, the structural global displacement field was constituted. Based on the discrete grids of finite element method and element stiffness equations, the computational format of QR method was constructed. According to the fundamental assumptions for steel frame with semi-rigid connections, the dimensionless stiffness factors were introduced into the element stiffness matrix and different value from 1to 0, QR method can be used to ana trary semi-rigid frame. Numerical results show the feasibi equivalent load vector. Taking the factors with ysis spatial rigid frame, pinned frame and arbiity and accuracy of this method.
出处
《空间结构》
CSCD
北大核心
2009年第1期65-68,72,共5页
Spatial Structures
基金
国家自然科学基金项目(19872020)
广西科学研究与技术开发计划项目(桂科攻0442001)
关键词
空间钢框架
QR法
半刚性连接
样条函数
spatial steel frame
QR method
semi-rigid connection
spline interpolating function
