有侧移框架二阶效应的弹性分析  

Second-Order Elastic Analysis of Sway Frames

作　　者：赵成文[1] 颜双月[1] 范晋[1] 薛毅明[2] 

机构地区：[1]沈阳建筑大学土木工程学院,辽宁沈阳110168 [2]沈阳大象建筑设计有限公司,辽宁沈阳110005

出　　处：《沈阳建筑大学学报（自然科学版）》2007年第1期61-64,共4页Journal of Shenyang Jianzhu University：Natural Science

基　　金：建设部墙体材料应用统一技术规范课题(2006)

摘　　要：目的对有侧移框架进行二阶效应的弹性分析,以及梁柱线刚度比对有侧移框架二阶效应的影响.方法采用转角位移法推导了考虑二阶效应(P-Δ效应和P-δ效应)的转角位移方程.结果算例中应用该转角位移方程求解有侧移框架的二阶内力,并将结果同该框架的一阶内力进行比较,二阶内力的存在并不是使所有杆件的内力都增加,在柱底处二阶内力较一阶内力小,而在柱顶处二阶内力较一阶内力大.考虑二阶内力后梁端的弯矩较不计二阶内力影响的弯矩有所增加.不受均布荷载的杆件的弯矩图是直线,而在考虑二阶效应后却变成正弦曲线.结论对于单层单跨框架,梁柱线刚度比越小对二阶效应的影响越大.This paper is about second-order elastic analysis of sway frame and how linear stiffness ratio of the beam and the column affects second-order internal force. First, a rotational displacement equation, which takes the influence of second-order effect into consideration, is derived. Then, an example is given to figure out the second-order internal force of a sway frame according to the equation. The second-order and first-order internal force of the same sway frame is compared to analyse the degree of the influence of the secondorder. At the same time, the linear stiffness ratio of the beam and the column is changed to analyse how the change affects the second-order internal force. The result shows that not all elements＇ second-order internal force increases, and the smaller the linear stiffness ratio of the beam and the column is, the larger it affects the second-order internal force.

关 键 词：有侧移框架 二阶效应 转角位移方程 线刚度 

分 类 号：TU323.5[建筑科学—结构工程]