Vibration control of a circular curved beam pedestrian bridge using damping cable

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Journal of Vibration and Shock ›› 2024, Vol. 43 ›› Issue (24) : 108-116.

YU Jianda1,2，YOU Qi1，PENG Wenlin1，TAN Xiaopeng1，SUN Hongxin1,2

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Abstract

Circular curved beam pedestrian bridges have been applied in urban bridge construction, and curved bridges are more prone to large vibrations under pedestrian excitation due to bending and torsional coupling. In order to reduce the human-induced excitation response of the pedestrian bridge, this paper proposes a damping cable device composed of a damper and a return spring connected in parallel with the main cable, and carries out theoretical analysis and experimental research on the vibration reduction of the circular curved beam pedestrian bridge and the damping cable. Firstly, the differential equation of vibration of the fixed circular curved beam at both ends is established, the mode shape and eigenfrequency of the out-of-plane vibration of the curved beam are obtained by the differential transformation method (DTM), and then the additional damping ratio provided by the damping cable for the curved beam is obtained by the modal analysis method. The model of the curved beam with fixed support at both ends was made, and the additional damping ratio of the curved beam under different installation positions and different viscous coefficients of the damper cable was measured. The results show that the theoretical analysis results of the additional damping ratio of the circular curved beam provided by the damping cable are consistent with the experimental results. The damping cable can greatly increase the additional damping ratio of the circular curved beam, and suppress the vibration of the curved beam well.

Key words

Circular curved beam / Pedestrian bridge / Vibration control / Damping cable

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YU Jianda1, 2, YOU Qi1, PENG Wenlin1, TAN Xiaopeng1, SUN Hongxin1, 2. Vibration control of a circular curved beam pedestrian bridge using damping cable[J]. Journal of Vibration and Shock, 2024, 43(24): 108-116

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