剪切型支撑钢框架整体稳定计算需考虑钢框架与剪切型支撑之间的相互作用，还需要考虑同层柱间的相互支援以及层与层之间的支援作用，规范计算长度系数法无法考虑这些因素可能会造成不合理设计。本文提出了一种计算多层剪切型支撑钢框架整体稳定性的解析算法，首先分析了支撑刚度与结构临界承载力之间的关系，推导了层临界支撑刚度计算公式，接着利用弹簧–摇摆柱力学模型推导了任意支撑下框架柱临界刚度比系数计算公式，然后将各楼层的有效抗侧刚度及荷载刚度进行楼层间的组装，将求解剪切型支撑钢框架的临界承载力转化为求解结构的楼层有效抗侧刚度，最后基于轴力权重加权平均的方法推导了可直接求解多层剪切型支撑钢框架临界承载力的计算公式，该公式能够判断结构的薄弱层，可以定量地计算楼层之间相互支援程度，有效地弥补规范尚无法求解弱支撑钢框架柱计算长度系数的不足。
Abstract
The support between the steel frame and shear-type bracing, the mutual support between the same layer columns and the inter-story interaction should be considered for overall stability calculation of multi-story shear type braced steel frames. The effective length coefficient method in the specification cannot consider these factors, which may lead to unreasonable design. An analytical algorithm for calculating the overall stability of multi-story shear type braced steel frames. Firstly, the relationship between the brace stiffness and the critical bearing capacity of the structure is analyzed, and the formula for calculating the floor critical braced stiffness is derived; Then, the formula for calculating the critical stiffness ratio coefficient of frame columns under arbitrary supports is derived by using the spring- rocking column mechanical model; Then, the effective lateral stiffness and load stiffness of each floor are assembled between floors, and the solution of the critical bearing capacity of multi-story shear type braced steel frames is converted into the solution of the floor effective lateral stiffness; Finally, based on the weighted average method of axial force, the calculation formula for calculating the critical bearing capacity of the multi-story shear braced steel frame is derived, which can judge the weak story of the structure, quantitatively calculate the mutual support between floors, and effectively make up for the deficiency that the specification cannot solve the effective length coefficient of the columns of the weakly braced steel frame.
关键词
钢框架 /
剪切型支撑 /
层临界支撑刚度 /
有效抗侧刚度 /
整体稳定 /
临界因子 /
临界力
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Key words
Steel frames /
Shear-type braced /
Floor critical braced stiffness /
Effective lateral stiffness /
Overall stability /
Critical factor /
The critical force;
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参考文献
[1] GB 50017-2017 钢结构设计标准[S].北京：中国建筑工业出版社，2018.
GB 50017-2017 Standard for design of steel structures [S]. Beijing: China Architecture & Building Press,2018.
[2] 李国强,华楠.支撑钢框架柱的计算长度[J].钢结构,1993,22(4)：8-11.
Li Guoqiang, Hua Nan. Effective length for columns in braced steel frames[J]. Steel construction,1993,22(4): 8-11.
[3] Aristizabal-Qchoa J D. Story stability of braced, partially braced and unbraced frames: classical approach[J]. Journal of Structural Engineering,1997,123(6): 799-807.
[4] Aristizabal-Qchoa J D. K-factor for columns in any type of construction: nonparadoxical approach[J]. Journal of Structural Engineering,1994,120(4): 1272-1290.
[5] 童根树,施祖元.非完全支撑框架结构的稳定性[J].土木工程学报,1998,31(4)：31-37.
Tong Genshu, Shi Zuyuan. Stability of not fully braced frames[J]. China Civil Engineering Journal,1998,31(4): 31-37.
[6] 童根树,郭俊.剪切型支撑框架的假想荷载法[J].浙江大学学报(工学版),2011,45(12)：2142-2149.
Tong Genshu, Guo Jun. Notional load approach for shear-type braced frames[J]. Journal of Zhejiang University(Engineering Science), 2011,45(12)：2142-
2149.
[7] 金路,马云思,刘丹.钢框架-支撑结构二阶侧移的分析方法[J].工程力学,2019,36(6)：194-199.
Jin Lu, Ma Yunsi, Liu Dan. Analysis methods for second-order drift of brace-steel frame structure [J]. Engineering Mechanics, 2019,36(6)：194-199.
[8] Ma T, Xu L. Story-based stability of multistory steel semibraced and unbraced frames with semirigid connections[J]. Journal of Structural Engineering, 2021,
147(1): 1-15.
[9] 童根树.钢结构的平面内稳定[M].北京：中国建筑工业出版社，2005：181-185
Tong Genshu. Plane stablity of steel structures [M]. Beijing: China Architecture & Building Press,2005: 181-185.
[10] Chen W F, Lui E M. Stability Design of steel frames[M]. Boca Raton: CRC Press, 1991: 39-144.
[11] 耿旭阳,周东华.确定受压柱计算长度的通用图表[J].工程力学,2014, 31(8)：154-160.
Geng Xuyang, Zhou Donghua. Universal charts for determining the effective length of compression columns[J].Engineering Mechanics,2014, 31(8)：154-160.
[12] 陈绍蕃.钢结构稳定设计指南[M].北京：中国建筑工业出版社，2013：127-218.
Chen Shaofan. Guide to stability design of steel structures [M]. Beijing: China Architecture & Buil-ding Press,2013: 127-218.
[13] 兰树伟,陈旭, 周东华,等.弱支撑框架柱计算长度系数的实用算法[J].四川建筑科学研究，2021,47(5)：16-25.
Lan shuwei, Chen Xu, Zhou Donghua, et al. Practical method for determining calculating length coefficient of weakly supported frame columns[J]. Sichuan Building Science, 2021,47(5): 16-25.
[14] 郝际平,田炜烽,王先铁.多层有侧移框架整体稳定的简便计算方法[J].建筑结构学报,2011,32(11)：183-188
Hao Jiping, Tian Weifeng, Wang Xiantie. Simple calculation method for overall stability of multi-story sway frame[J]. Journal of Building Structures, 2011,32(11):183-188.
[15] 兰树伟,周东华,陈旭,等.基于轴力权重的有侧移钢框架整体稳定性的实用算法[J].振动与冲击,2023,42(2)：150-156.
Lan Shuwei, Zhou Donghua, Chen Xu, et al. Practical calculation method for the overall stability of a sway steel frame based on applying the weight on the axial force [J]. Journal of Vibration and Shock, 2023,42(2)：150-156.
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