一种计算框架-剪力墙临界承载力的解析法  

An analytical algorithm for calculating critical bearing capacity of a frame-shear wall structure

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;Department of Civil Engineering,Yunnan Minzu University,Kunming 650504,China)

机构地区：[1]昆明理工大学建筑工程学院,昆明650500 [2]云南民族大学土木工程系,昆明650504

出　　处：《振动与冲击》2020年第19期48-54,77,共8页Journal of Vibration and Shock

基　　金：国家自然科学基金项目(51668027,51708486)。

摘　　要：针对规范计算长度系数法无法考虑框架与剪力墙之间的相互作用、同层柱之间的相互支援以及层与层的支援作用的不足,提出了一种计算框架-剪力墙结构临界力的解析算法。利用“三弹簧-摇摆柱”力学模型作为基本单元来计算单个框架柱的稳定承载力,进而通过基本单元(刚度和荷载)在各楼层内组装,之后再将各楼层的刚度及荷载进行楼层间的组装,将求解框架-剪力墙临界承载力转化为求解结构的楼层抗侧刚度,进而推导了可直接计算有侧移框架-剪力墙临界力的简单实用的计算公式,该公式能考虑这三种支援作用,即同层各柱间的支援作用,楼层间的相互支援作用,以及剪力墙对框架的支援作用,有效地弥补了规范尚无法求解框架-剪力墙临界力的不足。算例计算结果表明:该方法有很好的精度及准确性,可供工程设计使用。Aiming at the problem of the standard calculation length method not being able to consider interaction between a frame and a shear wall,mutual support between columns of the same layer and insufficient support function between layers,an analytical algorithm for calculating critical bearing force of a frame-shear wall structure was proposed.The mechanical model of"three springs-sway column"was taken as the basic element to calculate the stable bearing capacity of a single frame column.Then,basic units including stiffness and load were assembled within each floor,and then the stiffness and load of each story were assembled between floors.Solving critical bearing capacity was converted into solving the floor lateral stiffness of the structure.A simple and practical calculation formula for directly calculating critical bearing capacity of a frame-shear wall with lateral displacement was derived.It was shown that the formula can consider the three mutual supports including mutual support between the same layer’s columns,that between floors,and support from shear wall to frame to effectively makes up for the deficiency that the code can’t solve the critical bearing capacity of a frame-shear wall.Example calculation results showed that the proposed method has good accuracy and correctness for being applied in engineering design.

关 键 词：框架-剪力墙 内刚度 外刚度 临界内外刚度比系数 临界因子 临界力 

分 类 号：TU391[建筑科学—结构工程] TU398.2