Unsteady Theoretical Analysis on the Wake-Induced Vibration of Suspension Bridge Hangers
Publication: Journal of Bridge Engineering
Volume 24, Issue 2
Abstract
The hangers on long-span suspension bridges are significantly prone to wind-induced vibrations due to their light mass, low frequency, and small structural damping. These vibrations are known to cause fatigue problems and impair the serviceability and safety of structures. The possibility of wake-induced vibration of the hangers is theoretically studied in this paper. First, a series of wind tunnel tests for two smooth circular cylinders were carried out to identify the eight aerodynamic derivatives of the leeward cylinder. Second, the motion equations of the leeward cable were established on the base of the unsteady and quasi-steady theories by using the data measured from the wind tunnel tests. These equations are numerically solved by adopting the Runge-Kutta method. Finally, a series of numerical simulations based on the structural parameters of a hanger on the Xihoumen Bridge were conducted to study the mechanism of the wake-induced vibration of the leeward cable of the hanger. The results show that obvious oscillations of the leeward cable take place in the spatial region of 5.2 ≤ X ≤ 5.6 and 1.1 ≤Y ≤ 2.1, and the vibration frequency of cable is slightly smaller than its natural frequency. A positive work within a period is always done by the aerodynamic stiffness force if large-amplitude vibration of wake-induced vibration takes place. It appears that the aerodynamic stiffness force is the key factor to evoke the wake-induced vibration of the leeward cable. This agrees well with the feature of the wake-galloping vibration observed from the power transmission lines. Moreover, it seems that the quasi-steady theoretical model could reflect the main characteristics of wake-induced vibration just as the unsteady theoretical model. However, the oscillation amplitude obtained from the quasi-steady theoretical model is slightly smaller than that from the unsteady theoretical model.
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Acknowledgments
This project is jointly supported by the National Natural Science Foundation of China (51578234) and the National Basic Research Program of China (2015CB057702), and those supports are greatly appreciated by the authors.
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Published In
Journal of Bridge Engineering
Volume 24 • Issue 2 • February 2019
Copyright
© 2018 American Society of Civil Engineers.
History
Received: Dec 28, 2017
Accepted: Jul 25, 2018
Published online: Nov 27, 2018
Published in print: Feb 1, 2019
Discussion open until: Apr 27, 2019
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