朱  鸣，  胥玉祥

（北京市建筑设计研究院有限公司，北京100045）

 

[摘要] 高层建筑的扭转平动周期比是结构设计中需要控制的一个重要指标，建筑高度是影响该比值的一项重要因素。首先研究了几种典型截面的悬臂梁的扭转自振周期、弯曲自振周期的解析解以及两者的比值。采用有限元分析验证以上解析解。然后以两个工程实例为对象，研究结构扭转平动周期比与建筑高度之间的关系。分析表明，等截面悬臂梁扭转周期与弯曲周期之比与梁截面高度成正比，与梁长成反比。高层建筑的扭转平动周期

比与等截面悬臂梁有类似的变化规律。当建筑高度增加时，扭转平动周期比逐渐减小，结构的扭转效应相应

减小。

[关键词] 扭转周期；平动周期；建筑高度；扭转平动周期比

中图分类号：TU311.3    文献标识码：A  文章编号：1002-848X(2012) S2-0351-05

 

Zhu Ming, Xu Yuxiang

( Beijing Institute of Architectural Design, Beijing 100045, China)

 

Abstract: The ratio of torsion period to translation period is an important index in structural design of highrise buildings, which is significantly influenced by height of buildings. Theoretical solution of torsion period, translation period and their ratio of cantilever beams with four typical section shapes were analyzed. FEA analysis was performed to verify the solutions. Two actual building projects were selected to research the relationship between ratio of torsion period to translation period and building height. Results show that ratio of torsion period to bending period of cantilever beams with constant section is proportional to beam section height and is in inverse proportion to beam length. Ratio of torsion period to translation period of highrise buildings has similar varying laws with cantilever beams. When building height increases, ratio of torsion period to translation period decreases and torsion effect of structure decreases accordingly.

Keywords: torsion period; translation period; building height; ratio of torsion period to translation period