考虑层间支援无侧移框架整体稳定性的实用算法  

Practical calculation method for the overall stability of non-sway frames considering the inter-story interaction

作　　者：兰树伟 周东华[2] 陈旭 王春华 LAN Shuwei;ZHOU Donghua;CHENG Xu;WANG Chunhua(College of Architecture and Civil Engineering,Kunming University,Kunming 650214,China;Faculty of Civil Engineering and Mechanics,Kunming University of Science and Technology,Kunming 650500,China)

机构地区：[1]昆明学院建筑工程学院,云南昆明650214 [2]昆明理工大学建筑工程学院,云南昆明650500

出　　处：《哈尔滨工程大学学报》2023年第3期450-457,共8页Journal of Harbin Engineering University

基　　金：国家自然科学基金项目(51868034);云南省地方本科高校基础研究联合专项资金青年项目(202101BA070001-003);昆明学院引进人才科研项目(XJ20210029).

摘　　要：针对规范计算长度系数法逐根构件求解无侧移框架整体稳定的不便,以及无法考虑同层柱之间的相互支援和层与层支援作用的不足,本文探寻了无侧移框架同层柱间支援以及层与层之间的支援规律,利用弹簧-摇摆柱模型采用结构转换的方法推导了无侧移框架柱临界刚度比系数;利用该系数通过分析无侧移框架特征结构单元确定结构层荷载因子,确定表征无侧移框架楼层刚度富余程度的层刚度富余系数和表征层间支援作用的层支援系数;基于轴力权重加权平均的方法推导了可直接计算无侧移框架整体稳定承载力的计算公式。该公式能够定量地计算无侧移框架楼层之间相互支援程度,避免了计算长度系数法可能因无法考虑2种支援作用造成的不合理设计,可供工程设计和理论计算使用。In view of the inconvenience of determining the overall stability of non-sway frames using the standard calculation length method for each component checking and not considering the mutual support between the same-layer columns and the insufficient inter-story interaction,this study first explores the non-sway frames of support laws of the mutual support between the same-layer columns and inter-story interaction,deriving the critical stiffness ratio coefficient of non-sway frames based on the spring-swinging column model and structure conversion method.Then,the coefficient is used to determine the structural-layer load factor by analyzing the characteristic structural elements of non-sway frames,the surplus coefficient of the layer stiffness that characterizes the surplus degree of the layer stiffness of non-sway frames,and the layer support coefficient that characterizes the inter-story support effect.Finally,the calculation formula that can directly calculate the overall stability bearing capacity of non-sway frames is obtained through the axial force weighted average method.This formula can quantitatively calculate the degree of mutual support between floors of non-sway frames and avoid the unreasonable design caused by the standard calcu-lation length method,which may be caused by not considering the two support functions.This method can be used for engineering design and theoretical calculation.

关 键 词：无侧移框架 整体稳定 特征结构单元 富余刚度系数 层支援系数 荷载因子 临界承载力 计算长度系数 

分 类 号：TU391[建筑科学—结构工程] TU398.2