圆弧曲梁人行桥阻尼索减振研究

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振动与冲击 ›› 2024, Vol. 43 ›› Issue (24) : 108-116.

论文

圆弧曲梁人行桥阻尼索减振研究

禹见达1,2，游琦1，彭文林1，谭晓鹏1，孙洪鑫1,2

作者信息 +

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

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

Author information +

文章历史 +

摘要

圆弧曲梁人行天桥在城市桥梁建设中得到了应用，曲线桥梁存在弯、扭耦合而更易在人行激励下发生大幅振动。为降低人行天桥的人致激励响应，本文提出了一种由阻尼器、复位弹簧并联后与主索串联而成的阻尼索装置，进行圆弧曲梁人行桥-阻尼索减振的理论分析与试验研究。首先建立两端固支圆弧曲梁的振动微分方程，采用微分变换法（DTM）获得曲梁面外振动的振型与特征频率，然后采用模态分析法获得阻尼索为曲梁提供的附加阻尼比。制作两端固支半圆弧曲梁模型，实测了阻尼索在不同的安装位置及不同阻尼器粘性系数下曲梁附加阻尼比。研究结果表明：阻尼索提供的圆弧曲梁附加阻尼比的理论分析结果与试验实测结果吻合；阻尼索可以大幅增加圆弧曲梁的附加阻尼比，很好地抑制曲梁的振动。

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.

导出引用

禹见达1, 2, 游琦1, 彭文林1, 谭晓鹏1, 孙洪鑫1, 2. 圆弧曲梁人行桥阻尼索减振研究[J]. 振动与冲击, 2024, 43(24): 108-116

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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