Journal of Zhejiang University SCIENCE A
ISSN 1673-565X(Print), 1862-1775(Online), Monthly

2008   Vol. 9   No. 9   p. 1193~1200

On-line Access Date:   Sep. 1, 2008
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Nonlinear dynamic response of stay cables under axial harmonic excitation

Xu XIE†, He ZHANG, Zhi-cheng ZHANG

(Department of Civil Engineering, Zhejiang University, Hangzhou 310027, China)
†E-mail: xiexu@zju.edu.cn
Received Dec. 19, 2007; revision accepted Mar. 28, 2008

Abstract: This paper proposes a new numerical simulation method for analyzing the parametric vibration of stay cables based on the theory of nonlinear dynamic response of structures under the asynchronous support excitation. The effects of important parameters related to parametric vibration of cables, i.e., characteristics of structure, excitation frequency, excitation amplitude, damping effect of the air and the viscous damping coefficient of the cables, were investigated by using the proposed method for the cables with significant length difference as examples. The analysis results show that nonlinear finite element method is a powerful technique in analyzing the parametric vibration of cables, the behavior of parametric vibration of the two cables with different Irvine parameters has similar properties, the amplitudes of parametric vibration of cables are related to the frequency and amplitude of harmonic support excitations and the effect of distributed viscous damping on parametric vibration of the cables is very small.

Key words: Stay cables, Parametric vibration, Nonlinear vibration, Viscous damping
doi:10.1631/jzus.A0720132             CLC number: U448.27

References:

[1] Chen, S.S., Sun, B.N., 2003. Numerical study on nonlinear parametric vibration of coupled cables and bridge decks. China Civil Engineering Journal, 36(4):70-75 (in Chinese).

[2] Chen, S.S., Sun, B.N., Hu, J., 2002. Analysis of stayed-cable vibration caused by axial excitation. Journal of Vibration Engineering, 15(2):144-150 (in Chinese).

[3] Clough, R.W., Penzien, J., 1995. Dynamic of Structures (3rd Ed.). Computers and Structures, Inc., Berkeley, USA.

[4] Georgakis, C.T., Taylor, C.A., 2005a. Nonlinear dynamics of cables stays, Part 1: sinusoidal cable support excitation. Journal of Sound and Vibration, 281(3-5):537-564.

[5] Georgakis, C.T., Taylor, C.A., 2005b. Nonlinear dynamics of cables stays, Part 2: stochastic cable support excitation. Journal of Sound and Vibration, 281(3-5):565-591.

[6] Irvine, H.M., 1981. Cable Structures. MIT Press, Cambridge, MA.

[7] Kang, Z., Zhong, W.X., 1998. Numerical study on parametric resonance of cable in cable stayed bridge. China Civil Engineering Journal, 31(4):14-22 (in Chinese).

[8] Lilien, J.L., Pinto, D.C.A., 1994. Vibration amplitudes caused by parametric excitation of cable stayed structures. Journal of Sound and Vibration, 174(1):69-90.

[9] Sun, B.N., Wang, Z.G., Ko, J.M., Ni, Y.Q., 2003. Parametrically excited oscillation of stay cable its control in cable-stayed bridges. Journal of Zhejiang University SCIENCE, 4(1):13-20.

[10] Takahashi, K., 1991. Dynamic stability of cables subjected to an axial periodic load. Journal of Sound and Vibration, 144(2):323-330.

[11] Takahashi, K., Konishi, Y., 1987a. Non-linear vibrations of cables in three dimensions, Part I: non-linear free vibrations. Journal of Sound and Vibration, 118(1):69-84.

[12] Takahashi, K., Konishi, Y., 1987b. Non-linear vibrations of cables in three dimensions, Part II: out-of-plane vibrations under in-plane sinusoidally time-varying load. Journal of Sound and Vibration, 118(1):85-97.

[13] Uhrig, R., 1993. On kinetic response of cables of cable-stayed bridges due to combined parametric and forced excitation. Journal of Sound and Vibration, 165(1):182-192.

[14] Wu, Q.X., 2002. Study on Local Vibration Characteristics of Stay Cables in Cable-stayed Bridges and Evaluation of Cable Loosening. Ph.D Thesis, Graduate School of Science and Technology, Nagasaki University, Japan.

[15] Wu, Q.X., Takahashi, K., Okabayashi, T., Nakamura, S., 2003. Response characteristics of local vibrations in stay cables on an existing cable-stayed bridges. Journal of Sound and Vibration, 261(3):403-420.

[16] Xie, X., Zhang, H., Zhu, Y.F., Kou, C.H., 2008. Dynamic characteristics of CFRP cables under lateral wind load. Journal of Zhejiang University (Engineering Science), 42(1):145-151 (in Chinese).

[17] Yang, S.Z., Chen, A.R., 2005. Parametric oscillation of super long stay cables. Journal of Tongji University (Natural Science), 33(10):1303-1307 (in Chinese).