华南理工大学学报(自然科学版) ›› 2020, Vol. 48 ›› Issue (7): 143-154.doi: 10.12141/j.issn.1000-565X.190857

• 土木建筑工程 • 上一篇    

考虑抗弯刚度的耦合吊索自振特性研究

陈炜1 王荣辉1 周浩恩2 甄晓霞1† 张卓杰3
  

  1. 1. 华南理工大学 土木与交通学院,广东 广州 510640; 2. 中交隧道工程局有限公司华南分公司,广东 广州 510700;3. 石家庄铁道大学 省部共建交通工程结构力学行为与系统安全国家重点实验室,河北 石家庄 050043

  • 收稿日期:2019-11-25 修回日期:2020-03-13 出版日期:2020-07-25 发布日期:2020-07-01
  • 通信作者: 甄晓霞(1976-),女,博士,副教授,主要从事大跨度复杂桥梁结构分析研究。 E-mail:xxzhen@scut.edu.cn
  • 作者简介:陈炜(1992-),男,博士生,主要从事大跨度索杆结构体系桥梁理论方法研究。E-mail:scutchenwei@163.com
  • 基金资助:
    国家自然科学基金资助项目 (51678247,51908382); 河北省自然科学基金资助项目 (E2019210311); 交通工程结构力学行为与系统安全国家重点实验室自主课题 (ZZ2020-21)

Research on Natural Vibration Characteristics of Coupling Hangers Considering Bending Stiffness

CHEN Wei1 WANG Ronghui1 ZHOU Haoen2 ZHEN Xiaoxia1 ZHANG Zhuojie3   

  1. 1. School of Civil Engineering and Transportation,South China University of Technology,Guangzhou 510640,Guangdong,China; 2. CCCC Tunnel Engineering Bureau South China Branch,Guangzhou 510700,Guangdong,China; 3. State Key Laboratory of Mechanical Behavior and System Safety of Traffic Engineering Structures,Shijiazhuang Tiedao University,Shijiazhuang 050043,Hebei,China
  • Received:2019-11-25 Revised:2020-03-13 Online:2020-07-25 Published:2020-07-01
  • Contact: 甄晓霞(1976-),女,博士,副教授,主要从事大跨度复杂桥梁结构分析研究。 E-mail:xxzhen@scut.edu.cn
  • About author:陈炜(1992-),男,博士生,主要从事大跨度索杆结构体系桥梁理论方法研究。E-mail:scutchenwei@163.com
  • Supported by:
    Suppouted by the National Natural Science Foundation of China (51678247,51908382) and the Natural Sci-ence Foundation of Hebei Province (E2019210311)

摘要: 设置减振架后,悬索桥吊索的自振特性与单根索股不同,其振动是同一吊点各索股相互作用的综合体现。为研究带减振架吊索的自振特性,提出了考虑抗弯刚度的双索股耦合系统模型。首先,推导出了系统耦合振动的理论公式,然后对自振频率进行求解后用试验及数值算例进行验证; 最后,以矮寨大桥的典型吊索为工程背景,研究了索的抗弯刚度、减振架耦合位置、减振架刚度、索的长度对吊索自振特性的影响。研究结果表明: 考虑索的抗弯刚度后,带减振架的吊索自振频率值明显增大,索越短,其增长幅度越大; 减振架保证了两根索股同相整体振动模态的一致性,在同相整体振动模态之间存在单根索股单独振动模态 (减振架位于吊索中点时成对出现) 及反相振动模态;减振架位置对吊索反相振动模态的自振频率及振型有显著影响; 与刚性减振架相比,弹性减振架导致反相振动模态的自振频率值降低,减振架刚度越小,其差值越大; 对于不同长度的吊索,当设置的减振架刚度 k≥5 ×106 N/m 时,可近似视为刚性减振架。

关键词: 吊索, 悬索桥, 抗弯刚度, 双索股耦合系统模型, 减振架, 振动模态, 自振特性

Abstract: After setting the anti-vibration mount,the natural vibration characteristics of the suspension bridge sus-pender is different from that of the single cable. The vibration of the suspension bridge suspender is a comprehen-sive reflection of the interaction of the cable strands at the same lifting point. In order to study the natural vibration characteristics of suspender with the anti-vibration mount,the model of double strands coupled system considering bending stiffness of the strand was proposed. Firstly,the theoretical formula of the coupled vibration of the system was derived. Then the natural frequency was solved and verified by experiments and numerical examples. Finally,the influence of the bending stiffness of the suspender,the coupling position,the coupling stiffness of the anti-vi-bration mount,and the length of the suspender on the natural vibration characteristics of suspender was studied by taking the typical suspender of the Aizhai Bridge as the engineering background. The results show that the natural frequency of the suspender with the anti-vibration mount is obviously increased after considering the bending rigidity
of the suspender. And the shorter the cable,the bigger the increament. The anti-vibration mount ensures the con-sistency of the in-phase global modes of the two main strands. There are local modes of single strand (come in pairs when the anti-vibration mount is located at 1/2 of the strand) and out-of-phase modes between the in-phase global modes. The position of the anti-vibration mount has a significant influence on the natural vibration frequency and the mode shape of the out-of-phase modes. Compared with the rigid anti-vibration mount,the flexible anti-vi-bration mount causes decrease of the natural vibration frequency value of the out-of-phase modes. The smaller the rigidity,the greater the difference. For different lengths of suspenders,the anti-vibration mount can be regarded as a rigid anti-vibration mount when the rigidity is set to be k≥5 ×106 N/m.

Key words: suspender, suspension bridge, bending stiffness, double strands coupled system model, anti-vibra-tion mount, vibration mode, natural vibration characteristics