楼梯间外纵墙自重作用下面外失稳的理论分析  

Theoretic analysis on the out-of-plane instability of longitudinal outer wall of staircase

作　　者：慕青松[1] 张敬书[1] 牛永红[2] 张皓 MU Qing-song;ZHANG Jing-shu;NIU Yong-hong;ZHANG Hao(Key Laboratory of Mechanics on Disaster and Environment in Western China with the Ministry of Education,College of Civil Engineering and Mechanics,Lanzhou University,Lanzhou 730000,China;State Key Laboratory of Frozen Soil Engineering,Cold and Arid Regions Environmental and Engineering Research Institute,Chinese Academy of Sciences,Lanzhou 730000,China)

机构地区：[1]兰州大学土木工程与力学学院,西部灾害与环境力学教育部重点实验室,兰州730000 [2]中国科学院寒区旱区环境与工程研究所,冻土工程国家重点实验室,兰州730000

出　　处：《兰州大学学报（自然科学版）》2021年第5期688-693,共6页Journal of Lanzhou University(Natural Sciences)

基　　金：国家自然科学基金面上项目(11072095)。

摘　　要：某些高层建筑的楼梯间外纵墙,是紧临建筑外部的高度很大的一字型剪力墙,在自身高度范围内,除了底部约束和顶部约束外,其他位置所受约束较弱,存在面外屈曲失稳的风险.建立了描写一字型剪力墙在自重作用下发生面外挠曲变形的微分方程,并求出了其解析解,解的数学形式与贝塞尔函数有关.针对4种边界约束形式(底端固支、顶端自由;底端固支、顶端简支;两端简支;两端固支),高精度地给出了一字型剪力墙发生面外失稳的屈曲临界条件,通过算例对屈曲临界条件的工程应用价值进行了简单评述.In some high-rise buildings,the longitudinal outer shear-walls of staircases are next to the exteriors of buildings.For this kind of high shear wall,in the range of its own height,except for the bottom constraint and the top constraint,constraints at the other positions are weak,so there is the risk of outof-plane buckling instability.The differential equation describing the out-of-plane deflection of the shear wall under the action of self-weight is established,and its analytic solution is obtained by introducing Bessel’s function.The critical buckling conditions for out-of-plane instability of the shear wall are given with high precision for four kinds of boundary constraint forms(fixed support at bottom end,free at top end;fixed support at bottom end,simple support at top end;simple supports at both ends and fixed supports at both ends),and the engineering application value of these buckling critical conditions is briefly reviewed through an example.

关 键 词：剪力墙 稳定性 屈曲 贝塞尔方程 贝塞尔函数 

分 类 号：TU973.2[建筑科学—结构工程]