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| Coupled Vibration Analysis of Tower-Cable-Deck of Long-Span Cable-Stayed Bridge |
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Abstract In order to analyze coupled vibration of tower-cable-deck under end excitation. Considering sag, angle, damping and gravity of the tangential component of cable, the high precision parabola was introduced. The refined coupled model of tower-cable-deck was established. The nonlinear vibration differential equation of tower-cable-deck under end excitation was deduced. The vibration characteristic of cable was compared with two different modes. The effect of frequency ratio of cable and deck, deck excitation amplitude, cable force, damping and angle on structure were analyzed. The results show that the frequency ratio of cable and deck have larger influence on cable vibration. The cable strongly vibrate under the frequency ratio of 2:1 and 1:2, but the amplitude of cable under 2:1 vibration mode is larger, and longer resonance time. With the increase of the deck excitation amplitude, the amplitude growth rate under 2:1 vibration mode is faster. The cable amplitude decreases with cable force increasing. When the cable damping is over 2%, the vibration amplitude of cable cannot be effectively reduced, and the vibration of the cable can be suppressed by setting additional damping.
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Received: 27 March 2015
Published: 28 October 2015
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2015, Vol. 36 
