深圳大学学报理工版

对连接2栋建筑净跨度达45 m的某曲线型钢桁架人行天桥展开现场人行振动加速度响应实测,得到了在各种行走和跳跃工况下人行天桥加速度响应的现场实测数据.基于希尔伯特-黄变换,对人行天桥结构的动力特性,包括自振频率和结构阻尼,进行了有效识别.利用有限元软件建立了该人行天桥结构有限元模型,分析天桥结构在行人荷载激励条件下的动力响应.对实测数据和数值分析结果进行比对,数值分析结果基本符合现场实测数据.最后,结合国内外规范对该天桥的人行舒适度进行了合理评价.

We carried out a field measurement on the pedestrian-induced vibration of a steel truss footbridge connecting two buildings with a curved planar shape and a net span up to 45 m. Based on the Hilbert-Huang transformation, we effectively identified the dynamic properties of the footbridge, i.e., natural frequencies and damping ratios. We established the finite element mode of the footbridge. The finite element analysis results agree well with those of the field measurements. We also accessed the vibration serviceability of the footbridge using the domestic and international standards currently available.

引言
1 钢桁架天桥人行振动现场实测
2 人行天桥动力特性分析与识别
3 人行天桥振动有限元模型分析
4 人行舒适度评价
5 结语

图1 天桥平面图<br/>Fig.1 (Color online)Plan view of the footbridge

图1 天桥平面图
Fig.1 (Color online)Plan view of the footbridge

图2 天桥三维示意图 <br/>Fig.2 (Color online)3D view of the footbridge

图2 天桥三维示意图
Fig.2 (Color online)3D view of the footbridge

图3 人行天桥实景图<br/>Fig.3 (Color online)Photo of the completed footbridge

图3 人行天桥实景图
Fig.3 (Color online)Photo of the completed footbridge

图4 A- 4测点加速度时程曲线<br/>Fig.4 (Color online)Acceleration versus time at A- 4

图4 A- 4测点加速度时程曲线
Fig.4 (Color online)Acceleration versus time at A- 4

图5 A-1测点加速度频谱曲线<br/>Fig.5 (Color online)Spectrum curve of the measured acceleration at A-1

图5 A-1测点加速度频谱曲线
Fig.5 (Color online)Spectrum curve of the measured acceleration at A-1

表1 8种工况下各测点的最大加速度<br/>Table 1 Maximum acceleration measured in eight cases

表1 8种工况下各测点的最大加速度
Table 1 Maximum acceleration measured in eight cases

表2 主要构件尺寸<br/>Table 2 Size of main structural members

表2 主要构件尺寸
Table 2 Size of main structural members

表3 实测与有限元分析得到的固有频率对比<br/>Table 3 Comparison of natural frequencies between field measurement and finite element analysis

表3 实测与有限元分析得到的固有频率对比
Table 3 Comparison of natural frequencies between field measurement and finite element analysis

图6 IMF分量的自由衰减曲线<br/>Fig.6 (Color online)Free decay curve of the IMF component

图6 IMF分量的自由衰减曲线
Fig.6 (Color online)Free decay curve of the IMF component

图7 对应图 6的幅值曲线及其拟合结果<br/>Fig.7 (Color online)Amplitude curve corresponding to Fig .6 and the fitting curve

图7 对应图 6的幅值曲线及其拟合结果
Fig.7 (Color online)Amplitude curve corresponding to Fig .6 and the fitting curve

图8 对应图 6的相位角曲线及其拟合结果<br/>Fig.8 (Color online)Phase angle curve corresponding to Fig .6 and the fitting curve

图8 对应图 6的相位角曲线及其拟合结果
Fig.8 (Color online)Phase angle curve corresponding to Fig .6 and the fitting curve

图9 单人跳跃荷载时程图<br/>Fig.9 (Color online)Time histogram under jumping load by one person

图9 单人跳跃荷载时程图
Fig.9 (Color online)Time histogram under jumping load by one person

表4 4人起跳实测与有限元加速度峰值对比<br/>Table 4 Comparison of peak acceleration between field measurement and finite element analysis under4-person jump

表4 4人起跳实测与有限元加速度峰值对比
Table 4 Comparison of peak acceleration between field measurement and finite element analysis under4-person jump

表5 12人起跳实测与有限元加速度峰值对比<br/>Table 5 Comparison of peak acceleration between field measurement and finite element analysis under12-person jump

表5 12人起跳实测与有限元加速度峰值对比
Table 5 Comparison of peak acceleration between field measurement and finite element analysis under12-person jump

表6 人行振动舒适度评价结果<br/>Table 6 Vibration serviceability check

表6 人行振动舒适度评价结果
Table 6 Vibration serviceability check

[1] Cheng Xiongtao. Wind load and wind-induced vibration response analysis of long span footbridge[D]. Shanghai:Tongji University, 2007.(in Chinese)
[2] He Zongcheng, Wang Baisheng. Vibration test and analysis of long span footbridge[J]. Journal of Vibration and Shock, 2006, 25(4): 138-141.(in Chinese)
[3] Zhang Guanhua, Ge Yaojun. Vibration characteristics test and analysis of concrete box girder continuous pedestrian bridge[J]. Journal of Vibration and Shock, 2009, 28(2): 102-106.(in Chinese)
[4] Feng Peng, Jin Feifei, Ye Lieping, et al. Quantification of pedestrian's comfort level and dynamic properties of footbridge vibration based on in-situ measurement[J]. Journal of Vibration Engineering, 2013, 26(4): 545-553.(in Chinese)
[5] Chen Bo, Wang Xin, Liu Hao, et al. Research on the vibration serviceability of a cable-stayed footbridge based on field measurement[J]. Journal of Wuhan University of Technology, 2013, 35(7): 99-103.(in Chinese)
[6] Yuan Xubin, Sun Liming. Research on pedestrian-induced vibration of footbridge[D]. Shanghai:Tongji University, 2006.(in Chinese)
[7] Chen Zhengqing, Liu Guangdong. Pedestrian-induced vibration theory and dynamic design of footbridges[J]. Engineering Mechanics, 2009, A02: 148-159.(in Chinese)
[8] Sun Limin, Yan Xingfei. Human walking induced footbridge vibration and its serviceability design[J]. Journal of Tongji University Natural Science, 2004, 32(8): 996-999.(in Chinese)
[9] Li Quan. Human-induced stochastic vibration and optimal control for long-span footbridges and floors[D].Beijing:Tsinghua University, 2010.(in Chinese)
[10] Chen Gang, Chen Yuquan, Zhou Jie. Vibration analysis and design on vibration reduction of long-span corridor due to pedestrian excitation[J]. Journal of Yantai University Natural Science and Engineering Edition,2013, 26(2): 151-155.(in Chinese)
[11] Li Dong, Fa Yongsheng, Sun Cuihua, et al. Analysis on pedest rian-induced vibration and comfort evaluation of an footbridge[J]. Building Structure, 2008, 38(6): 50-53.(in Chinese)
[12] Yang Lulei, Zhu Xunyan. Analysis on improving walking comfort for large-span corridor structure[J]. Journal of Guilin University of Technology, 2012, 32(3): 425- 429.(in Chinese)
[13] Chen Jieliang. Reasearch on vibration comfort of footbridge induced by pedestrian excitation[D]. Hangzhou:Zhejiang University, 2007.(in Chinese)
[14] Fan Jiansheng, Chen Yu, Nie Jianguo. Optimum design of tuned mass damper for footbridge[J]. Engineering Mechanics, 2012, 29(9): 133-140.(in Chinese)
[15] Xu Xin. The study of pedestrian suspension bridge's comfort evaluation and control method[D]. Hangzhou:Zhejiang University, 2010.(in Chinese)
[16] Liu Yin. Comfort evaluation for footbridge vibration[D]. Wuhan:Wuhan University of Technology, 2010.(in Chinese)
[17] Xiao Xueshuang. Research on human-induced vibration comfort and vibration comfort control for steel pedestrian bridge[D]. Changsha:Changsha University of Science and Technology, 2009.(in Chinese)
[18] Jin Feifei. Vibration comfort level design for lightweight FRP footbridges[D]. Beijing:Tsinghua University, 2012.(in Chinese)
[19] CJJ69—1995 Technical specification of urban pedestrian overcrossing and underpass[S].(in Chinese)
[20] Chen Jun, Xu Youlin, Li Jie. Hilbert-Huang transform for damping ratio identification of structures with closely spaced modes of vibration[J]. Earthquake Engineering and Engineering Vibration, 2003, 23(4): 34- 42.(in Chinese)
[21] Ellis B R, Ji T, Littler J D. The response of grandstands to dynamic crowd loads[J]. ICE-Structures and Buildings, 2000, 140(4): 355-365.
[22] BSI5400 Steel, concrete and composite bridges[S].
[23] Gulvanessian H, Calgaro J A, Holicky M. Designer's guide to EN1990: basis of structural design[M].Glasgow(Scotland): Thomas Telford, 2002.

备注

引言

1 钢桁架天桥人行振动现场实测

2 人行天桥动力特性分析与识别

3 人行天桥振动有限元模型分析

4 人行舒适度评价

5 结语

期刊信息

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