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Parametric oscillation of cables and aerodynamic
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Yong XIA1,Jing ZHANG1,Youlin XU1,Yozo FUJINO2, |
1.Department of Civil and
Structural Engineering, The Hong Kong Polytechnic University, Hong
Kong, China; 2.Department of Civil Engineering,
The University of Tokyo, Tokyo, Japan; |
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Abstract This paper addresses the aerodynamic effect on the nonlinear oscillation, particularly parametric vibration of cables in cable-stayed bridges. A simplified 2-DOF model, including a beam and a stayed cable, is formulated first. Response of the cable under global harmonic excitation which is associated with wind speed is obtained using the multiple scales method. Via numerical analysis, the stability condition of the cable in terms of wind speed is derived. The method is applied to a numerical example and a long-span bridge to analyze its all stay cables. It is demonstrated that very large vibration at one of the longest cables in the middle span of the bridge can be parametrically excited when the wind speed is over around 210 km/h (58.5 m/s).
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Keywords
parametric vibration
cables
cable-stayed bridge
nonlinear vibration
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Issue Date: 05 September 2010
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