有侧移框架临界承载力的实用计算方法  

Practical calculation method for the critical bearing capacity of sway frame

作　　者：兰树伟 周东华[1] 双超 韩春秀 LAN Shuwei;ZHOU Donghua;SHUANG Chao;HAN Chunxiu(Faculty of Civil Engineering and Mechanics, Kunming University of Science and Technology, Kunming 650500, China;School of Electrical and Information Technology, Yunnan Minzu University, Kunming 650500, China)

机构地区：[1]昆明理工大学建筑工程学院,昆明650500 [2]云南民族大学电气工程学院,昆明650500

出　　处：《振动与冲击》2019年第11期180-186,202,共8页Journal of Vibration and Shock

基　　金：国家自然科学基金项目(51668027;51708486)

摘　　要：基于结构平衡稳定状态的物理意义,提出了结构外刚度和内刚度的概念,得到了结构临界稳定状态表达式,利用框架重复单元推导了框架结构整体抗侧刚度的计算公式,获得了可直接计算框架临界承载力的简单实用的计算公式。该公式避免了传统计算长度系数法逐个构件验算的不便,而且可很好地考虑同层柱之间的相互支援以及层与层的支援作用,避免了计算长度系数法可能因此造成的不合理设计,弥补了规范计算长度系数法的不足。算例计算结果表明:该方法具有很好的精度及准确性,而且对复杂的框架结构也具有很好的适用性,可供工程设计及理论计算使用。Based on the physical meaning of the equilibrium stable state of the structure, the concepts of the external stiffness and the internal stiffness of the structure were put forward, the expression of the critical stability state of the structure was obtained, and the calculating formula of the whole lateral stiffness of the frame structure was derived by using the story repeating element. A simple and practical formula which could calculate the critical bearing capacity of frame directly was obtained. This formula avoids the inconvenience of the traditional method of calculating length coefficient in checking each component, and can well consider the mutual support between columns in the same layer and the supporting action between different layers, thus avoiding the unreasonable design that may be caused by the method of calculating length factor. The deficiency of the length coefficient method in the code is made up. It was shown in the numerical examples that the method has good accuracy and accuracy, and has good applicability to complex frame structure. It can be used in engineering design and theoretical calculation.

关 键 词：外刚度 内刚度 框架结构楼层重复单元 整体抗侧刚度 临界承载力 

分 类 号：TU391[建筑科学—结构工程] TU398.2