建立考虑节点域剪切变形的平面钢框架单元刚度矩阵  

Stiffness Matrix of Member of Plane Steel Frame with Shear Deformation of Joint-Panels Taken Into Account

作　　者：贾连光[1] 白宏涛[1] 史永斌 邢贵洋 许峰[1] 

机构地区：[1]沈阳建筑大学土木工程学院,辽宁沈阳110168 [2]中国建筑东北设计研究院,辽宁沈阳110006

出　　处：《沈阳建筑大学学报（自然科学版）》2007年第1期11-15,共5页Journal of Shenyang Jianzhu University：Natural Science

基　　金：建设部科技攻关项目(2002)

摘　　要：目的更精确计算平面钢框架结构在水平荷载作用下的侧移.方法以梁柱为计算单元,基于稳定函数法,在梁柱单元的角位移中计入节点域剪切变形,推导了平面钢框架杆件的单元刚度矩阵.结果采用传统的线弹性框架分析方法得到的水平侧移是不准确的,较实验结果误差为12.12%.笔者考虑了由于节点域剪切变形和二阶效应而导致的结构侧移刚度的降低,推导了单元刚度矩阵,并用MATLAB编制了平面钢框架的计算程序,计算所得的水平侧移,较实验结果误差仅为0.606%.结论采用考虑节点域剪切变形和二阶效应的平面钢框架单元刚度矩阵,所得计算结果与实验结果吻合良好,具有很高的准确度.In the steel structure frame system, the shearing deformation of joint-panels and second-order effect reduce the displacement stiffness of the structure, while increasing the displacement of the structure; but the traditional method of structural analysis has failed to consider the influence of the deformation of jointpanels and second-order effect, thus, it has relative error. This article educes the stiffness matrix of member under consideration of the influence produced by shearing deformation of joint-panels and second-order effect on the rigidity of structure. The author writes the program of MATLAB, and it matches well with the experimental result, and has high level of accuracy as well.

关 键 词：钢框架 节点域 剪切变形 单元刚度矩阵 二阶效应 

分 类 号：TU391[建筑科学—结构工程]