（1 湖南大学土木工程学院钢结构研究所， 长沙 410082； 2 湖南科技大学土木工程学院， 湘潭 411201）

［摘要］李自健美术馆圆环结构支承于3个相距50m的带斜撑钢结构筒体，最大悬挑长度为19m，最大跨度为45m。以结构动力学理论为基础，采用数值模拟方法对结构施加单人行走、多人同步行走、随机行走、同步起立、单人跳跃、多人跳跃等23种激励，验算其振动舒适度。主要研究人致激励下结构的动力时程响应，将各工况下结构的峰值加速度与美国钢结构设计协会（AISC）规定的限值对比。结果表明，结构人致振动舒适度满足要求。研究发现，在对此类复杂结构进行人致振动舒适度设计时，应选取结构敏感频率范围内的所有最不利振动区域进行分析，并根据建筑使用功能选取激励工况，充分考虑结构在使用周期内可能出现的所有激励形式，尤其是节律性激励，如跳跃和起立激励。

［关键词］振动舒适度； 人致激励； 峰值加速度； 大跨楼盖

中图分类号：TU391文献标识码：A文章编号：1002-848X(2018)15-0019-06

Study on vibration serviceability of circular structure of Li Zijian Art Museum under human-induced excitation

Shu Xingping1, Tian Mengdi1, Lu Beirong2, Liu Zelong1

(1 Steel Structural Institute of Civil Engineering College， Hunan University，  Changsha 410082，  China; 2 College of Civil Engineering， Hunan University of Science and Technology， Xiangtan 411201， China)

Abstract:The circular structure of Li Zijian Art Museum is supported on the 3 steel core tubes with braces, which are 50m apart. The circular structure′s maximum cantilever extends as long as 19m and its maximum span is 45m. Based on the structural dynamics theory, the numerical simulation method was used to evaluate the vibration serviceability of the structure imposed by 23 excitations including single person walking, harmonic walking, random walking, synchronous standing up, single person jumping and harmonic jumping. The main study was to investigate the dynamic time-history response of the structure under human-induced excitation. The peek accelerations obtained from time-history dynamic analyses were compared with the limited accelerations from American Institute of Steel Construction (AISC). Results show that   the vibration serviceability of the structure meets requirements. Studies find that, in the vibration serviceability design for such complex structure under human-induced excitation, designers should find out all the most unfavorable vibration areas in the sensitive frequency range to analyze. Excitation conditions should be selected according to the building service functions and designers should consider all the loading modes possibly occurring in the service period, especially the rhythmic excitations, such as jumping and standing up.

Keywords:vibration serviceability; human-induced excitation; peak acceleration; large-span floor

*国家自然科学基金项目（51278178）。

作者简介：舒兴平，博士，教授，博士生导师，Email: shuxingping@sina.com。