Vibration reduction analysis of a cable-inertial damper system with sag

PDF(1975 KB)

Journal of Vibration and Shock ›› 2021, Vol. 40 ›› Issue (16) : 29-38.

LIU Jing1，LIANG Dong1,2

Author information +

History +

Abstract

In this paper, a new type of inertial damper for cables with a combination of rack and pinion, inertial element, and viscous damping element was proposed.A theoretical design method of each element parameter of the damper was given, and the principle of energy consumption was pointed out.By using theoretical derivation combined with a numerical calculation method to give its single energy dissipation performance, the in-plane motion equation of the cable-inertial damper system was established.By using the complex modal analysis method, the cable-inertia considering the sag was given.Formula for calculating the modal damping ratio of a mass damper system was given.For a certain actual cable, by using the dimensionless analysis method, the design parameters of the real cable inertial damper and the corresponding cable modal damping ratio were given.The damping effect of the same inertial damper parameters on different cable vibration modes was studied.The results show that the cable with sag will approach the fixed frequency of this order when the inertia or damping increases.For an actual super-long cable, when the order of the target vibration-damping mode is not too much, after multi-parameter tuning of inertia, viscous damping and installation position, a broad-spectrum damping superior to the existing viscous damper vibration effect can be obtained.

Key words

bridge engineering / cable damping / complex modal analysis / new inertial damper / damping effect / broad-spectrum damping / actual bridge damper application

Cite this article

EndNote

Ris (Procite)

Bibtex

Download Citations

LIU Jing，LIANG Dong. Vibration reduction analysis of a cable-inertial damper system with sag[J]. Journal of Vibration and Shock, 2021, 40(16): 29-38

References

［1］中国桥梁网.苏通大桥拉索断裂？谣言！只是阻尼器脱落不影响性能［EB/OL］.(2018-08-17.)http://www.cnbridge.cn/html/2018/news_0817/183393.html.

［2］杜晓庆.斜拉桥拉索风雨激振研究［D］.上海: 同济大学, 2003.

［3］NAGAI M, XIE X, YAMAGUCHI H, et al.Economical comparison between cable-stayed and suspension systems with a span exceeding 1 000 meters［J］.Journal of Constructional Steel Research, 1998,46(1/2/3): 59.

［4］康厚军,郭铁丁,赵跃宇.大跨度斜拉桥非线性振动模型与理论研究进展［J］.力学学报, 2016,48(3): 519-535.
KANG Houjun, GUO Tieding, ZHAO Yueyu.Review on nonlinear vibration and modeling of large span cable-stayed bridge［J］.Chinese Journal of Theoretical and Applied Mechanics, 2016,48(3): 519-535.

［5］吕建根,康厚军,赵跃宇.梁主共振情形下索梁结构1∶1内共振分析［J］.计算力学学报, 2016,33(1): 45-50.
L Jiangen, KANG Houjun, ZHAO Yueyu.One-to-one internal resonance of cable-stayed beam in the case of beam primary resonance［J］.Chinese Journal of Computational Mechanics, 2016,33(1): 45-50.

［6］李锦华,毛坤海,余维光,等.雨滴冲击荷载对斜拉桥拉索风雨激振影响的初步分析［J］.振动与冲击, 2019,38(10): 177-184.
LI Jinhua, MAO Kunhai, YU Weiguang, et al.Preliminary analysis on the influence of raindrop impact loads on the cable rain-wind-induced vibration of cable-stayed bridges［J］.Journal of Vibration and Shock, 2019,38(10): 177-184.

［7］ZHOU H J, SUN L M, XING F.Free vibration of taut cable with a damper and a spring［J］.Structural Control and Health Monitoring, 2014,21(6): 996-1014.

［8］WEBER F, HGSBERG J, KRENK S.Optimal tuning of amplitude proportional coulomb friction damper for maximum cable damping［J］.Journal of Structural Engineering, 2010,136(2): 123-134.

［9］IEMURA H, PRADONO M H.Advances in the development of pseudo-negative-stiffness dampers for seismic response control［J］.Structural Control & Health Monitoring, 2009,16(7/8): 784-799.

［10］OU J P, LI H.Analysis of capability for semi-active or passive damping systems to achieve the performance of active control systems［J］.Structural Control & Health Monitoring, 2010,17(7): 778-794.

［11］LAZAR I F, NEILD S A, WAGG D J.Performance analysis of cables with attached tuned-inerter-dampers［C］// Society for Experimental Mechanics Series.Cham: Springer, 2015.

［12］LAZAR I F, NEILD S A, WAGG D J.Vibration suppression of cables using tuned inerter dampers［J］.Engineering Structures, 2016,122(1): 62-71.

［13］CHEN L, SUN L M, NAGARAJAIAH S.Cable with discrete negative stiffness device and viscous damper: passive realization and general characteristics［J］.Smart Struct Systems, 2015,15(3): 627-643.

［14］CHEN L, SUN L M, NAGARAJAIAH S.Cable vibration control with both lateral and rotational dampers attached at an intermediate location［J］.Journal of Sound and Vibration, 2016,377(1): 38-57.

［15］SUN L M, HONG D X, CHEN L.Cables interconnected with tuned inerter damper for vibration mitigation［J］.Engineering Structure, 2017,151(1): 57-67.

［16］LUO J N, JIANG J Z, MACDONALD J H G.Damping performance of taut cables with passive absorbers incorporating inerters［C］//13th International Conference on Motion and Vibration Control and the 12th International Conference on Recent Advances in Structural Dynamics.Southampton: MOVIC and RASD, 2016.

［17］SHI X, ZHU S Y, LI J Y, et al.Dynamic behavior of stay cables with passive negative stiffness dampers［J］.Smart Materials and Structures, 2016,25(7): 075044.

［18］LU L, DUAN Y F, SPENCER B F J, et al.Inertial mass damper for mitigating cable vibration［J］.Structural Control and Health Monitoring, 2017,24(10): 1-12.

［19］莫凯程.采用惯性质量阻尼器的斜拉索振动控制研究［D］.杭州：浙江大学,2017.

［20］崔智鑫.惯质类阻尼器对斜拉桥拉索减振性能的研究［D］.北京：北京交通大学,2018.

［21］梁栋,刘菁,刘晨景,等.一种适用于斜拉索多阶振动的电磁三元减振装置：CN109706832A［P］.2019-05-03.

［22］王修勇,孙洪鑫,陈政清.旋转剪切式磁流变液阻尼器设计及力学模型［J］.振动与冲击, 2010,29(10): 77-81.
WANG Xiuyong, SUN Hongxin, CHEN Zhengqing.Design and mechanical model of rotating shear magnetorheological fluid damper［J］.Journal of Vibration and Shock, 2010,29(10): 77-81.

［23］SHI X, ZHU S Y.Dynamic characteristics of stay cables with inerter dampers［J］.Journal of Sound and Vibration, 2018,423: 287-305.

［24］WANG Z H, GAO H, FAN B Q, et al.Inertial mass damper for vibration control of cable with sag［J］.Journal of Low Frequency Noise Vibration & Active Control, 2018,39(3): 749-760.

［25］陈政清,黄智文.大跨度桥梁竖弯涡振限值的主要影响因素分析［J］.中国公路学报, 2015,28(9): 30-37.
CHEN Zhengqing, HUANG Zhiwen.Analysis of main factors influencing allowable magnitude of vertical vortex-induced vibration of long-span bridge［J］.China Journal of Highway and Transport, 2015,28(9): 30-37.

［26］JING H Q, XIA Y, LI H, et al.Excitation mechanism of rain-wind induced cable vibration in a wind tunnel［J］.Journal of Fluids and Structures, 2017,68: 32-47.