Coupled vibration of cable-stayed bridges considering cables' interaction

被引：0
|
作者：
Liang D. [1 ]
Kang J. [1 ]
Zhao W. [2 ]
Liu J. [1 ]
机构：
[1] College of Civil Engineering and Transportation, Hebei University of Technology, Tianjin
[2] Qugang Expressway Construction Department of Hebei Province, Dingzhou
来源：
| 1600年 / Chinese Vibration Engineering Society卷 / 39期
关键词：
Cable-beam structure; Cable-stayed bridge; Cables' interaction; Coupled vibration; Nonlinearity; Numerical simulation;
D O I：
10.13465/j.cnki.jvs.2020.07.018
中图分类号：
学科分类号：
摘要：
In order to study problems of cable-beam coupled vibration and cables' interaction under nonlinear geometric conditions, a two-cable and a single beam combined system was taken as a simplified model. D'Alembert principle was used to establish the cable-beam system's dynamic partial differential equation considering cables' initial sag, and it was discretized into a two-order ordinary differential equation using Galerkin method after setting cables' first two vibration modes and beam's first one. The 4-5 order Runge-Kutta method was used to solve and analyze the cable-beam system's vibration responses. The results showed that in the 2-cable and a beam combined system, the first mode is strongly coupled with beam, and the second mode is coupled with beam at a lower level under specific frequency condition; compared with a single-beam and single-cable structure, multiple cables make beam frequencies increase, cables' interaction makes cable amplitude increase and beat frequency decrease; the system's in-plane first mode is more sensitive to cables and beam changes; when cables and beam frequencies are unchanged, cables' interaction obviously suppresses cables' large amplitude vibration caused by coupled vibration; the system is more sensitive to beam initial displacement change. © 2020, Editorial Office of Journal of Vibration and Shock. All right reserved.
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页码：125 / 131and147
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共 23 条
  • [1] Fujino Y., Pacheco B.M., Nakamura S.I., Et al., Synchronization of human walking observed during lateral vibration of a congested pedestrian bridge, Earthquake Engineering & Structural Dynamics, 22, 9, pp. 741-758, (1993)
  • [2] Shi X., Sutong Bridge dampers have repaired and the whole bridge is being checked, Construction Technology, 47, 16, (2018)
  • [3] Namzy A.S., Abdel-Ghaffar A.M., Nonlinear earthquake response analysis of long-span cable-stayed bridges: theory, Earthquake Engineering and Structural Dynamics, 19, 1, pp. 45-62, (1990)
  • [4] Fujino Y., Warnitchai P., Pacheco B.M., An experimental and analytical study of autoparametric resonance in a 3DOF model of cable-stayed-beam, Nonlinear Dynamics, 4, 2, pp. 111-138, (1993)
  • [5] Wang Z., Sun B., Cable vibration for cable stayed bridge by parametric response, Engineering Mechanics, 18, 1, pp. 103-109, (2001)
  • [6] Zhao Y., Jiang L., Wang L., Et al., The dynamical modeling theory and internal resonance of cable-beam composite structure, China Civil Engineering Journal, 37, 3, pp. 69-72, (2004)
  • [7] Sun C., Zhao Y., Cable's geometric nonlinear frequencies and spatial motions under the coupling vibration of cable-beam structure, Earthquake Engineering And Engineering Dynamics, 38, 3, pp. 127-133, (2018)
  • [8] Kang H., Guo T., Zhao Y., Review on nonlinear vibration and modeling of large span cable-stayed bridge, Chinese Journal of Theoretical and Applied Mechanics, 48, 3, pp. 519-535, (2016)
  • [9] Sun C.S., Zhao Y.B., Peng J., Et al., Multiple internal resonances and modal interaction processes of a cable-stayed bridge physical model subjected to an invariant single-excitation, Engineering Structures, 172, pp. 938-955, (2018)
  • [10] Fung R.F., Lu L.Y., Huang S.C., Dynamic modelling and vibration analysis of a flexible cable-stayed beam structure, Journal of Sound & Vibration, 254, 4, pp. 717-726, (2002)
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