（北京市建筑设计研究院有限公司， 北京 100045）

［摘要］北京CBD核心区文化艺术中心东、西两楼间距36m，两楼间设置3座平面投影为Y形的大跨度复杂空间楼梯。楼梯整体刚度较柔，且受力复杂。通过弹性时程分析研究楼梯的竖向地震动加速度放大系数深入了解地震动特性，并分别采用时程分析法、振型分解反应谱法和竖向地震作用系数法比较了支座总反力，结果表明采用振型分解反应谱法对高阶振型贡献分析不充分，容易导致竖向地震作用效应偏小；竖向地震作用系数法不能区分楼梯的阻尼比、复杂程度及支座约束条件等结构动力特性的影响；而时程分析法能弥补他们的不足。楼梯设计时针对罕遇地震作用采取了有效的防跌落措施。由于大跨度复杂空间楼梯的竖向自振频率低，不能直接满足舒适度要求，在人行振动分析基础上对楼梯采用调频质量阻尼器减振技术，对人行活动的共振响应进行振动控制，提高楼梯的舒适度。

［关键词］复杂空间楼梯； 时程分析； 竖向地震动加速度放大系数； 调频质量阻尼器； 舒适度

中图分类号：TU392-1文献标识码：A文章编号：1002-848X(2017)18-0083-05

Vertical seismic analysis and vibration control of complex spatial staircases

Chang Weihua, Wang Guohua, Gong Zhenchao, Wu Jiong, Yang Weibiao

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

Abstract:The distance between east and west towers of Culture & Art Center in CBD of Beijing is 36 meters. Three long-span complex spatial staircases with Y-shaped projection are set between the two towers. The overall stiffness of staircases is slender and the mechanical condition is complex. Elastic time-history method was used to analyze vertical seismic acceleration amplification factors of staircases to further understand the seismic features of the structure, and total support reactions were compared using the time-history analysis method, mode decomposition response spectrum method and the vertical seismic action coefficient method. The results show that analysis on contribution of higher mode frequencies by mode decomposition response spectrum method is insufficient and it is easily to lead to small vertical earthquake reaction effect. The vertical seismic action coefficient method cannot distinguish influences of structural dynamic characteristics such as the damping ratio, complexity and constraint condition of the staircase. And time-history analysis method  can compensate this deficiency. Effective anti-drop measures were taken in staircase design under the rare earthquakes. Due to the low vertical vibration frequency of the large-span complex spatial staircase, it cannot meet the comfort degree requirements directly. On the basis of the pedestrian vibration analysis, TMD damping technology was adopted on the staircase to control the resonant response of the pedestrian activity and improve comfort degree.

Keywords:complex spatial staircase; time-history analysis; vertical seismic acceleration amplification factor; tuned mass damper; comfort degree

作者简介：常为华，硕士，高级工程师，Email：biad_changwh@163.com。