人行桥阻尼索减振研究

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振动与冲击 ›› 2023, Vol. 42 ›› Issue (4) : 256-262.

论文

人行桥阻尼索减振研究

彭文林1，禹见达1,2，胡磊1，孙洪鑫1,2

作者信息 +

A study on vibration control of a footbridge by damping cables

PENG Wenlin1 , YU Jianda1,2, HU Lei1, SUN Hongxin1,2

Author information +

文章历史 +

摘要

随着人行桥跨度不断增加，其固有频率受行人质量的影响增大，为提高人行桥的宽频减振效果，提出了一种由阻尼器、复位弹簧并联后再与拉索串联而成的阻尼索减振方法。首先以简支梁模拟人行桥，建立了阻尼索-人行桥弯曲振动方程，采用解析法获得了阻尼索为人行桥提供的附加阻尼比计算公式。然后通过模型实验分析了桥梁频率、阻尼器粘性系数等参数变化时阻尼索为桥梁提供的附加阻尼比变化规律。研究结果表明：阻尼索可为人行桥提供非常大的附加阻尼比，附加阻尼比理论计算公式与试验结果吻合。最后基于附加阻尼比理论计算公式，对阻尼索减振性能进行了参数影响分析。

Abstract

With the increasing span of the footbridge, the pedestrian quality has a greater impact on the natural frequency of the footbridge, in order to improve the effect of broadband frequency vibration reduction for footbridge, A new vibration reduction approach called damping cable is proposed, which composed of a damper and a return spring in parallel and then connected in series with the cable. Firstly, the footbridge is simplified as a simply supported beam, the bending vibration equation of footbridge with damping cable is established, and the calculation formula of the additional damping ratio provided by the damping cable for the pedestrian bridge is obtained by analytical method. Then, through the model experiment, the variation laws of the additional damping ratio provided by the damping cable for the bridge is analyzed when the parameters such as the frequency of the footbridge and the damping coefficient are changed. The results show that the damping cable can provide a very large additional damping ratio for the footbridge, and the theoretical calculation formula of the additional damping ratio is consistent with the experimental results. Finally, based on the theoretical formula of additional damping ratio, the influence of damping cable parameters on the vibration mitigation of footbridge is analyzed.

导出引用

彭文林1，禹见达1,2，胡磊1，孙洪鑫1,2. 人行桥阻尼索减振研究[J]. 振动与冲击, 2023, 42(4): 256-262

PENG Wenlin1,YU Jianda1,2, HU Lei1, SUN Hongxin1,2. A study on vibration control of a footbridge by damping cables[J]. Journal of Vibration and Shock, 2023, 42(4): 256-262

参考文献

[1]孙利民,闫兴非.人行桥人行激励振动及设计方法[J].同济大学学报(自然科学版),2004(08):996-999.
SUN Limin, YAN Xingfei. Human walking induced footbridge vibration and its serviceability design [J]. Journal of Tongji University: Natural Science , 2004,32(08) : 996-999．
[2]陈政清,刘光栋.人行桥的人致振动理论与动力设计[J].工程力学,2009,26(S2):148-159.
CHEN Zhengqing，LIU Guangdong. Pedestrian-induced vi-bration theory and dynamic design of footbridges [J]. Engi-neering Mechanics,2009, 26(S2) : 148-159.
[3]FUJINO Y, PACHECO B M, NAKAMURA S I, et al. Syn-chronization of human walking observed during lateral vibration of a congested pedestrian bridge[J].Earthquake Engineering an Structural Dynamics, 1993, 22(3): 741-758
[4] DALLARD P, FITZPATRICK A J, FLINT A, et al. The London Millennium footbridge [J]. The Structural Engineer, 2001,79(22): 17-33.
[5] INGÓLFSSON E T. GEORGAKIS C T. JÖNSSON J. Pedestrian induced lateral vibrations of footbridges: A literature review[J]. Engineering Structures,2012,45:21–52
[6] BASSOLI E, GAMBARELLI P, VINCENZI L. Human induced vibrations of a curved cable-stayed footbridge[J]. Journal of Constructional Steel Research,2018,146:84-96.
[7]汪志昊,华旭刚,陈政清,等.基于微型永电磁式涡流阻尼TMD的人行桥模型减振试验研究[J],振动与冲击, 2014, 33(20): 129-132．
WANG Zhihao,HUA Xugang,CHEN Zhengqing, et al. Exper-imental study on vibration control of a model footbridge by a tiny eddy-current tuned mass damper with permanent mag-nets[J].Journal of Vibration and Shock, 2014, 33(20):129-132．
[8]罗晓群,张晋,沈昭等.单斜面索拱支承曲梁人行桥人致振动控制研究[J].振动与冲击,2020,39(11):83-92.
LUO Xiaoqun, ZHANG Jin, SHEN Zhao, et al. Humaninduced vibration control of curved beam footbridge with single inclined cable arch. Journal of Vibration and Shock,2020,39 (11):83-92．
[9] TUBINO F, PICCARDO G. Tuned Mass Damper optimiza-tion for the mitigation of human-induced vibrations of pedestrian bridges[J]. Meccanica,2015,50(03):809-824.
[10]李晓玮,何斌,施卫星.TMD减振系统在人行桥结构中的应用[J].土木工程学报,2013,46(S1):245-250.
LI Xiaowei,HE Bin,HI Weixing. Application of TMD seismic vibration control system in the bridge structures[J].China Civil Engineering Journal,2013,46(S1): 245-250．
[11]肖新标,沈火明.移动荷载作用下的桥梁振动及其TMD控制[J].振动与冲击,2005(02):58-61+149.
XIAO Xinbiao, SHEN Huoming. Vibration and the TMD con-trolof ridges under moving loads[J].Journal of Vibration and Shock, 2005,24(02):58-61+149.
[12]刘海燕,陈开利.在既有人行天桥栏杆上设置薄型TMD进行减振[J].世界桥梁,2004(01):69-73.
LIU Haiyan, CHEN Kaili. In existing pedestrian bridge railing set thin shaped TMD damping [J].World Bridge, 2004 (01): 69-73.
[13]华旭刚,温青,陈政清等.大跨度双层曲线斜拉桥人致振减振优化与实测验证[J].振动工程学报,2016,29(5):822-830．
HUA Xugang, WEN Qing, CHEN Zhengqing, et al. Design and experimental validation of structural vibration control of a curved twin-deck cable-stayed bridge subject to pedestrians[J]. Journal of Vibration Engineering, 2016, 29(5): 822-830.
[14]WANG HQ, CHEN J,BROWNJOHN J.Parameter iden-tiﬁcation of pedestrian's spring-mass-dampermodel by ground reaction force records through a particleﬁlter aproach[J]. Journal of Sound and Vibration. 2017(411): 409-421.
[15]孙昊,周叮,刘伟庆等.人群简化模型与人行桥TMD参数设计研究[J].振动与冲,2016,35(04):217-223+240.
SUN Hao,ZHOU Ding,LIU Wei-qing, et al. Simplified model of human crowd and parameter design of TMD for footbridges [J]. Journal of Vibration and Shock, 2016, 35(04): 217-223 +240.
[16] SHAHABPOOR E, PAVIC A, RACIC V,et al. Effect of group walking traffic on dynamic properties of pedestrian structures[J]. Journal of Sound and Vibration 2017,387:207–25.
[17] TUBINO F. Probabilistic assessment of the dynamic in-teraction between multiple pedestrians and vertical vibrations of footbridges[J]. Journal of Sound andVibration,2018,417:80–96.
[18] TOSO MA, GOMES HM. A coupled biodynamic model for crowd footbridge interaction [J] . Engineering Structures, 2018, 177:47–60.
[19] RANA R, SOONG T T. Parametric study and simplified design of tuned mass dampers [J]. Engineering Structures, 1998, 20(03): 193-204.
[20]LIEVENS K, LOMBARET G, ROECK G D, et al. Robust design of a TMD for the vibration serviceability of a footbridge [J]. Engineering Structures,2016,123:408-418.
[21]霍林生,李宏男.大跨人行过街天桥利用MTMD减振控制的理论分析[J].防灾减灾工程学报,2008(03):298-302.
HUO Linsheng, LI Hongnan. Theoretical analysis of vibration control of large-span pedestrian bridge by use of MTMD[J]. Journal of Disaster Prevention and Mitigation Engineering, 2008,28(3): 298- 302．
[22]樊健生,陈宇,聂建国.人行桥的TMD减振优化设计研究[J].工程力学,2012,29(09):133-140.
FAN Jiansheng, CHEN Yu, NIE Jianguo. Optimum design of tuned mass damper for footbridge[J]. Engineering Mechanics, 2012, 29(09): 133-140．
[23] WANG D Y, WU C Q, ZHANG Y S, et al. Study on verti-cal vibration control of long-span steel footbridge with tuned mass dampers under pedestrian excitation[J]. Journal of Con-structional Steel Research,2019,154:84-98
[24]CJJ 69-1995, 城市人行天桥与人行地道技术规范[S].北京:中国建筑工业出版社,1996.
Technical code for urban pedestrian overcrossing and under-pass[S]. Beijing: China Construction Industry Press, 1996.
[25]禹见达,唐伊人,张湘琦等.复合阻尼索设计及减振性能试验研究[J].振动工程学报,2018,31(04):591-598.
YU Jianda, Tang Yiren, ZHANG Xiangqi, et al. Design of composite damping cable and experimental studies on vibration control[J]. Journal of Vibration Engineering, 2018, 31(04): 591-598.
[26]禹见达,张湘琦,彭临峰等.管式电涡流阻尼力的精确测量及阻尼器优化设计[J].振动与冲击,2020,39(03):149-154.
YU Jianda, ZHANG xiangqi PENG linfeng, et al. Optimal design of tubular electric eddy damper and its damp-ingforce’s accurate measurement[J]. Journal of Vibration Engineering, 2020,39(03):149-154.