设置惯容系统的非对称大跨悬挂结构风振响应分析  

Analysis of Wind Vibration Response of Large-Span Asymmetric Suspension Structures With Series Inerter Dampers

作　　者：田翀 谭志强 卢兴龙 庞迎波 覃媛媛 葛新广 TIAN Chong;TAN Zhiqiang;LU Xinglong;PANG Yingbo;QIN Yuanyuan;GE Xinguang(China Construction Science and Industry Corporation Ltd.,Shenzhen,Guangdong 518000,P.R.China;School of Civil Engineering and Architecture,Guangxi Vocational Normal University,Nanning 530007,P.R.China;School of Civil Engineering and Architecture,Liuzhou Institute of Technology,Liuzhou,Guangxi 545004,P.R.China)

机构地区：[1]中建科工集团有限公司,广东深圳518000 [2]广西职业师范学院土木建筑工程学院,南宁530007 [3]柳州工学院土木建筑学院,广西柳州545004

出　　处：《应用数学和力学》2025年第3期310-323,共14页Applied Mathematics and Mechanics

基　　金：国家自然科学基金(51868007)。

摘　　要：针对非对称大跨悬挂结构双向随机风振响应显著的问题,提出了一种利用惯容系统来抑制结构振动的策略,并针对减振体系随机风振响应分析方法复杂的现状,提出了一种简明分析法.首先,建立了顺风向脉动激励下结构水平和竖向耦合振动的动力学方程,借助有限元分析技术获得了大跨度悬挂结构的实模态动力参数,并基于实模态理论重构了减振体系的动力方程.其次,基于复模态法和虚拟激励法,获得了大跨度悬挂结构的位移、层间位移和惯容系统出力等响应量频域统一解,并基于功率谱的二次式分解法获得了上述响应量0阶、2阶和4阶谱矩和方差简明封闭解.最后,利用算例验证了所提封闭解的正确性,并基于此研究了惯容系统参数对抑制悬挂结构双向风振动的特征.研究表明,大跨悬挂结构的悬挂部分水平和竖向振动加速度均显著影响舒适度,工程设计时需要考虑双向振动,设置惯容系统可有效降低双向振动.Aimed at the significant problem of bidirectional random wind vibration responses of large-span asymmetric suspension structures,a strategy was proposed to suppress the vibration of large-span suspension structures with series inerter dampers(SIDs)as the energy damping system(EDS).For the complexity of the random wind vibration response analysis method,a concise closed-form solution was presented.Firstly,the dynamic equations for the horizontal and vertical coupled vibrations of the EDS under downwind excitation were established,and the finite element dynamic analysis technology was applied to obtain the real modal dynamic parameters of the large-span suspension structure to reconstruct the dynamic equations for the EDS based on the real modal theory.Secondly,based on the complex mode method and the pseudo-excitation method,the frequency domain unified solutions for the displacements,interlayer displacements and forces of the EDS were obtained.The quadratic decomposition method for the response power spectrum density function was used to obtain concise closed-form solutions for the 0th-,2nd-,and 4th-order spectral moments and variances of the above responses of the EDS subjected to the Davenport spectrum.Finally,the correctness of the proposed method was verified through a numerical example,and based on this,the characteristics of SIDs in suppressing bidirectional vibrations of suspension structures were studied.The results show that,the horizontal and vertical vibration accelerations of the suspension parts of large-span suspension structures significantly affect vibration serviceability,so that bidirectional vibrations need to be considered in engineering design,and SIDs to reduce the horizontal vibrations can effectively reduce bidirectional vibrations.

关 键 词：非对称大跨度悬挂结构 惯容系统 Davenport风速谱 功率谱二次式分解法 封闭解 

分 类 号：TU317[建筑科学—结构工程] TU352.1