任意分布轴力作用下框架柱弹性稳定的实用解法  

A PRACTICAL METHOD FOR THE ELASTIC STABILITY OF FRAME COLUMN UNDER RANDOM DISTRIBUTION AXIAL FORCE

作　　者：田炜烽[1] 郝际平[1] 丁戈[1] 付磊 

机构地区：[1]西安建筑科技大学土木工程学院,西安710055 [2]中建一局钢结构工程有限公司,北京100073

出　　处：《工程力学》2012年第2期74-80,共7页Engineering Mechanics

基　　金：国家自然科学基金项目(50878181);高等学校博士学科点专项科研基金项目(20096120110004);陕西省自然科学基金青年基金项目(2010JQ7001)

摘　　要：该文根据等效负刚度相等的原则,建立了框架柱中力与柱顶力之间的等效关系,推导了等效力系数的计算公式。通过该系数,可以将柱中力折算到柱顶,直接通过规范查取计算长度系数验算框架的整体稳定,而不需要重新对计算长度系数进行折算。进一步提出了等效力法,该方法可以很好的解决框架变多次轴力问题,具有很好的精度,满足工程应用的要求。对于变轴力非对称框架,用等效力法推导了考虑柱间支援作用之后的计算长度系数计算公式,并通过算例进行了验证。研究结果表明:等效力法具有很好的精度和准确性,可供工程设计及理论计算使用。According to the principle of equivalent negative stiffness,this paper establishes the equivalent relationship between a top load and an intermediate load in a frame and derives the equivalent load factor formula.Through this factor,an intermediate load can be converted to a top load,so that the stability of a frame can be checked by the effective length gained from code without recomputation.Then,the equivalent force method is proposed.This method can solve the stability problem of a frame under multiple-varying axial force easily with a good accuracy,thusly it can meet the requirements of engineering applications.This paper also proposes the effective length formula for an asymmetry frame with a varying axial force,considering the interaction of columns.The results show that the equivalent force method has good precision and accuracy,and can be used for engineering design and theoretical calculations.

关 键 词：稳定 等效力法 框架 变轴力 负刚度 

分 类 号：TU311.2[建筑科学—结构工程] TU318.2