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Journal of Zhejiang University SCIENCE A 2003 Vol.4 No.1 P.13~20


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

Author(s):  SUN Bing-nan, WANG Zhi-gang, KO, J.M., NI, Y.Q.

Affiliation(s):  Department of Civil Engineering, Zhejiang University, Hangzhou 310027, China; more

Corresponding email(s):   sbn@zju.edu.cn

Key Words:  Stay cable, Cable-stayed bridge, Parametric vibration, Vibration control, Support excitation

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SUN Bing-nan, WANG Zhi-gang, KO, J.M., NI, Y.Q.. Parametrically excited oscillation of stay cable and its control in cable-stayed bridges[J]. Journal of Zhejiang University Science A, 2003, 4(1): 13~20.

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T1 - Parametrically excited oscillation of stay cable and its control in cable-stayed bridges
A1 - SUN Bing-nan
A1 - WANG Zhi-gang
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PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.2003.0013

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.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article


[1]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.

[2]Fujino, Y., Warnithai, 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.

[3]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.

[4]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.

[5]Matsumeto, M., Yokoyama, K., Miyata, T., Fujino, Y. and Yanmaguch, H., 1989 a. 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.

[6]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.

[7]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.

[8]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.

[9]Takahashi, K., 1991. dynamic stability of cables subjected to an axial periodic load. Journal of Sound and Vibration, 144, 323-330.

[10]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.

[11]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.

[12]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.

[13]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.

[14]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.

[15]Zhang, Q. L. and Peil, U., 1999. Dynamic behaviors of cables in parametrically unstable zones. Computers and Structures, 73: 437-443.

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