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（北京市建筑設計研究院有限公司， 北京 100045）
［摘要］北京CBD核心區(qū)文化藝術中心東、西兩樓間距36m，兩樓間設置3座平面投影為Y形的大跨度復雜空間樓梯。樓梯整體剛度較柔，且受力復雜。通過彈性時程分析研究樓梯的豎向地震動加速度放大系數(shù)深入了解地震動特性，并分別采用時程分析法、振型分解反應譜法和豎向地震作用系數(shù)法比較了支座總反力，結果表明采用振型分解反應譜法對高階振型貢獻分析不充分，容易導致豎向地震作用效應偏??；豎向地震作用系數(shù)法不能區(qū)分樓梯的阻尼比、復雜程度及支座約束條件等結構動力特性的影響；而時程分析法能彌補他們的不足。樓梯設計時針對罕遇地震作用采取了有效的防跌落措施。由于大跨度復雜空間樓梯的豎向自振頻率低，不能直接滿足舒適度要求，在人行振動分析基礎上對樓梯采用調(diào)頻質(zhì)量阻尼器減振技術，對人行活動的共振響應進行振動控制，提高樓梯的舒適度。
［關鍵詞］復雜空間樓梯； 時程分析； 豎向地震動加速度放大系數(shù)； 調(diào)頻質(zhì)量阻尼器； 舒適度
中圖分類號：TU392-1文獻標識碼：A文章編號：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
作者簡介：常為華，碩士，高級工程師，Email：biad_changwh@163.com。
