Skip to main content
SpringerLink
Log in

Parametrically excited oscillation of stay cable and its control in cable-stayed bridges

  • Mechanics & Civil Engineering
  • Published:
Journal of Zhejiang University-SCIENCE A Aims and scope Submit manuscript

Abstract

This paper presents a nonlinear dynamic model for simulation and analysis of a kind of parametrically excited vibration of stay cable caused by support motion in cable-stayed bridges. The sag, inclination angle of the stay cable are considered in the model, based on which, the oscillation mechanism and dynamic response characteristics of this kind of vibration are analyzed through numerical, calculation. It is noted that parametrically excited oscillation of a stay cable with certain, sag, inclination angle and initial static tension force may occur in cable-stayed bridges due to deck vibration under the condition that the natural frequency of a cable approaches to about half of the, first model frequency of the bridge deck system. A new vibration control system installed on the cable anchorage is proposed as a possible damping system to suppress, the cable parametric oscillation. The numerical calculation results showed that with the use of this damping system, the cable oscillation due to the vibration of the deck and/or towers will be considerably reduced.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  • Abold-Ghaffar, A. M. and Khalifa, M. A., 1991. Importance of cable vibration in dynamics of cable-stayed bridges.ASCE Journal of Engineering Mechanics,117: 2571–2589.

    Article  Google Scholar 

  • Fujino, Y., Warmithai, P. and Pacheco, B. M., 1993. An experimental and analytical study of autoparametric resonance in a 3DOF model of cable-stayed-beam,nonlinear dynamics,4: 111–138.

    Article  Google Scholar 

  • Kang, Z. and Zhong, W. X., 1998. Numerical study on parametric, resonance of cable in cable stayed bridge.China Civil Engineering Journal,31 (4): 14–22.

    Google Scholar 

  • Lilen, J. L. and Pinto da Costa, A. 1994. Vibration amplitudes caused by parametric excitation of cable stayed structures.Journal of Sound and Vibration 174: 69–90.

    Article  MATH  Google Scholar 

  • Matsumeto, M., Yokoyama, K., Miyata, T., Fujino, Y. and Yanmaguch H., 1989a. Wind-Induced cable vibration of cable-stayed bridges in Japan, Proc. Canada-Japan workshop on Bridge Aerodynamics. Nat Res Council of Canada. Ottawa, Canada, p. 101–110.

    Google Scholar 

  • Matsumeto, M., Shiraishi, N., Shirato, H., Tsujii., M. and Kitazawa, M., 1989b. Aerodynamic Behavior of Cables of Cable Stayed Bridges. R. A. W. E. p. 602–609.

  • Perkins, N. C., 1992. model interactions in the non-linear response of elastic cables, under parametric/external excitation,International Journal of Non-Linear Mechanics.27: 233–250.

    Article  MATH  Google Scholar 

  • Pinto da Costa, A., Martins, J. A. C., Brance, F. and Lilien, J. L., 1996. Oscillation of bridge stay cables induced by periodic motions of deck and /or towers.ASCE Journal of Engineering Mechanics,122: 613–622.

    Article  Google Scholar 

  • Takahashi, K., 1991. dynamic stability of cables subjected to an axial periodic load.Journal of Sound and Vibration,144, 323–330.

    Article  Google Scholar 

  • Takahashi, K., Herath, C. R. and Hanada, H., 1997. Nonlinear Dynamic Response of Cable Subjected to Support Excitation, Proc. of the Asia-Pacific Vibration Conference '97 Kyongju, Korea, Vol.2, p. 940–944.

    Google Scholar 

  • Sun, B. N., Wang, Z. G., Ko, J. M. and Ni, Y. Q., 2000. Cable Oscillation Induced by Parametric Excitation in Cable-Stayed Bridges, Proc. of international conference on advances in structural dynamics (AS2000), Hong Kong, p., 553–560.

  • Virlogcux, M., 1998. Cable Vibration in Cable-stayed Bridges.In: Bridge Aerodynamics, A. Larsen and S. Esdahl (eds), A. A. Balkema, Rotterdam, Netherlands, p. 213–233.

    Google Scholar 

  • Warnitehai, P., Fujino, Y. and Sususmpow, T., 1995. A Non-linear dynamic model for cables and it Application to a cable-structure system,Journal of Sound and Vibration,187:695–712.

    Article  Google Scholar 

  • Yamaguchi, H., Fujino, Y., 1998. Stayed Cable Dynamics and its Vibration Control.In: Bridge Aerodynamics. A. Larsen and S. Esdahl (eds), A. A. Balkema, Rotterdam, Netherlands, p. 235–253.

    Google Scholar 

  • Zhang, Q. L. and Peil, U., 1999. Dynamic behaviors of cables in parametrically unstable zones.Computers and Structures,73: 437–443.

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Civil Engineering, Zhejiang University, 310027, Hangzhou, China

    Sun Bing-nan & Wang Zhi-gang

  2. Department of Civil & Structural Engineering, The Hong Kong Polytechnic University, Hong Kong, China

    Ko J. M. & Ni Y. Q.

Authors
  1. Sun Bing-nan
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Wang Zhi-gang
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Ko J. M.
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Ni Y. Q.
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Sun Bing-nan.

Additional information

Project supported by National Natural Science Foundation of China (No. 59978044)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bing-nan, S., Zhi-gang, W., Ko, J.M. et al. Parametrically excited oscillation of stay cable and its control in cable-stayed bridges. J. Zheijang Univ.-Sci. 4, 13–20 (2003). https://doi.org/10.1631/BF02841073

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1631/BF02841073

Key words

Document code

CLC number

Search

Navigation