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半刚性连接平面钢框架整体稳定分析的单元刚度矩阵
引用本文:李晓娟,王新堂,郑绍桦,傅雄. 半刚性连接平面钢框架整体稳定分析的单元刚度矩阵[J]. 宁波大学学报(理工版), 2007, 20(1): 86-89
作者姓名:李晓娟  王新堂  郑绍桦  傅雄
作者单位:宁波大学,建筑工程与环境学院,浙江,宁波,315211;宁波大学,建筑工程与环境学院,浙江,宁波,315211;宁波大学,建筑工程与环境学院,浙江,宁波,315211;宁波大学,建筑工程与环境学院,浙江,宁波,315211
基金项目:浙江省宁波市博士学科点专项科研基金
摘    要:经数学推导首先得出仅考虑几何缺陷及二阶效应的梁单元转角位移方程(有3种形式,分别为轴力大于零、等于零及小于零).在此基础上对转角位移方程进行修改,并将3种情况下的转角位移方程统一为1种形式,进而得出综合考虑几何缺陷、二阶效应和半刚性连接特性的平面梁单元刚度矩阵.所得结果可用于具有任意分布几何缺陷的半刚性连接钢框架结构的整体稳定分析.

关 键 词:几何缺陷  二阶效应  半刚性连接  整体稳定分析  单元刚度矩阵
文章编号:1001-5132(2007)01-0086-04
修稿时间:2006-05-21

Stiffness Matrix of Element for Overall Stability Analysis of Plane Steel Frames with Semi-rigid Connections and Geometrical Imperfection
LI Xiao-juan,WANG Xin-tang,ZHENG Shao-hua,FU Xiong. Stiffness Matrix of Element for Overall Stability Analysis of Plane Steel Frames with Semi-rigid Connections and Geometrical Imperfection[J]. Journal of Ningbo University(Natural Science and Engineering Edition), 2007, 20(1): 86-89
Authors:LI Xiao-juan  WANG Xin-tang  ZHENG Shao-hua  FU Xiong
Affiliation:Faculty of Architectural, Civil Engineering and Environment, Ningbo University, Ningbo 315211, China
Abstract:In this paper,the stress resultant-displacement equations are put forward through strict mathematical deduction in which the geometrical imperfection and second order effect are taken into account.There are totally three forms of the equations(for axial force>0,axial force=0 and axial force<0).For the case in which the equations are further modified with the three forms uniformed into one,the stiffness matrix of element with geometrical imperfection and the semi-rigid connection are proposed.The results can be used for overall stability analysis of the plane frames with semi-rigid connections and geometric imperfection.
Keywords:geometrical imperfection   second order analysis   semi-rigid connection   globle stability analysis   stiffness matrix of element
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