配置串联减振单元的悬挑结构减振分析  

Vibration reduction analysis of cantilever structure with series vibration-reduction unit

作　　者：张龑华 甄伟[1] 张万开 冯鹏 李伟[1] 王可 慕晨曦 盛平 ZHANG Yanhua;ZHEN Wei;ZHANG Wankai;FENG Peng;LI Wei;WANG Ke;MU Chenxi;SHENG Ping(Beijing Institute of Architectural Design Co.,Ltd,Beijing 100045,China;Department of Civil Engineering,Tsinghua University,Beijing 100084,China)

机构地区：[1]北京市建筑设计研究院股份有限公司,北京100045 [2]清华大学土木工程系,北京100084

出　　处：《建筑结构学报》2025年第3期1-11,共11页Journal of Building Structures

基　　金：国家重点研发计划项目(2022YFC3801800)。

摘　　要：为改善悬挑结构舒适性,提出一种配置串联减振单元的悬挑结构,通过在相邻楼层悬挑结构间顺次连接两端铰接的串联减振单元,可减小悬挑结构的振动加速度。通过理论推导提出表征配置串联减振单元悬挑结构基本特性的无量纲特征参数R和减振率μ计算公式,发现减振率仅与结构层数、R值直接相关。通过有限元分析得到减振率与阻尼比无直接关系,且集中质量模型和均布质量模型的减振率计算公式一致。通过最大减振率公式计算发现最大减振率仅与结构层数直接相关。考虑非理想弹性支座影响后,减振率将变大;通过求取综合刚度估算非理想弹性支座下结构减振率。通过实例分析发现,常规工程R值很小,实际减振率接近于最大减振率,且采用串联减振单元后的新增用钢量仅为采用调谐质量阻尼器(TMD)减振系统的20%。给出配置串联减振单元悬挑结构的设计流程,建议在完成串联减振单元构件设计后,再对整体结构振动舒适度进行复核。To improve the comfort of cantilever structure,a cantilever structure with series vibration-reduction unit was proposed.By connecting the ends of adjacent floors of cantilever structures with hinged series vibrationreduction units,the vertical vibration of cantilever structures was reduced.Through theoretical derivations,the dimensionless parameter R which represented the key characteristics of the cantilever structure with series vibrationreduction unit was delivered,and the calculation method of the vibration reduction rateμwas proposed,which indicated that theμvalue was only directly related to the number of floors and the R value.Finite element analysis shows that theμvalue isn’t directly related to the damping ratio.The calculation methods of theμvalue for concentrated mass model and consistent mass model is the same.A calculation formula of the maximum vibration reduction rateμmax was proposed,which indicated that theμmax value was only directly related to the number of floors.When incorporating the influence of non-ideal elastic supports,theμvalue increased.A calculation method for estimating theμvalue under non-ideal elastic supports was proposed leveraging the adoption of comprehensive.Case studies show that,the R value of cantilever structures with series vibration-reduction unit in conventional engineering is quite small,and theμvalue is close toμmax value.The increased steel consumption of series vibration-reduction unit is only 20%of tuned mass damper(TMD)vibration-reduction system.Finally,the design process of cantilever structure with series vibration-reduction unit was proposed.It is suggested to verify the vibration comfort after component design of series vibration-reduction unit.

关 键 词：悬挑结构 串联减振单元 减振率 减振设计 

分 类 号：TU311[建筑科学—结构工程] TU318TU391