地铁引发场地振动的实测信号能量分析
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摘要
选取上海某实际场地,开展地铁运行引发的场地振动实测。基于实测加速度响应信号,首先采用传统方法获得了信号在时域和频域内的能量分布特点,总结出场地振动水平随与振源距离增加而衰减的规律及振动频率的主要分布范围。其次,采用Mexican hat小波对信号进行连续小波变换,分析了信号时-频能量谱及时-频累积能量的分布特点,揭示出地铁自身的编组形式是造成振动非平稳性的直接原因,且地铁行进过程中列车对场地多数测点振动响应的影响范围主要集中于穿越测试断面的本节车厢及前方一节车厢,但在振动能量放大区,列车的影响范围基本仅限于穿越测试断面的本节车厢。
In-situ vibration measuring was carried out for the ground-borne vibration induced by subway trains in Shanghai.Based on the acceleration recordings,firstly,the characteristics of energy distribution in time domain and frequency domain are obtained respectively by the traditional methods.Accordingly,the attenuation curve is analyzed and the dominant frequency range is obtained.Secondly,the time-frequency energy spectrum and accumulated energy curve are presented by continuous wavelet transform based on Mexican hat wavelet.The train formation is the direct reason to the non-stationary ground vibration.To most of the measuring sites,the scope of the impact of the trains on the vibration is limited mainly by the length of two cars.But in the enlarged area of vibrational energy,the scope of the impact of the trains is limited basically by the length of the car passing by.
In-situ vibration measuring was carried out for the ground-borne vibration induced by subway trains in Shanghai.Based on the acceleration recordings,firstly,the characteristics of energy distribution in time domain and frequency domain are obtained respectively by the traditional methods.Accordingly,the attenuation curve is analyzed and the dominant frequency range is obtained.Secondly,the time-frequency energy spectrum and accumulated energy curve are presented by continuous wavelet transform based on Mexican hat wavelet.The train formation is the direct reason to the non-stationary ground vibration.To most of the measuring sites,the scope of the impact of the trains on the vibration is limited mainly by the length of two cars.But in the enlarged area of vibrational energy,the scope of the impact of the trains is limited basically by the length of the car passing by.
引文
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[2]洪俊青,刘伟庆.地铁对周边建筑物振动影响分析[J].振动与冲击,2006,25(4):142―145.Hong Junqing,Liu Weiqing.Analysis of effects inducesby subway train on surrounding building vibration[J].Journal of Vibration and Shock,2006,25(4):142―145.(in Chinese)
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[4]李建平,吴传志,龙兰,翟江涛.基于小波变换的非平稳随机信号处理[J].工程数学学报,2001,18(增刊1):99―104.Li Jianping,Wu Chuanzhi,Long Lan,Zhai Jiangtao.Nonstationary random signal processing based onwavelet transform[J].Chinese Journal of EngineeringMathematics,2001,18(Suppl 1):99―104.(in Chinese)
[5]曹晖,赖明,白绍良.地震地面运动局部谱密度的小波变换估计[J].工程力学,2004,21(5):109―115.Cao Hui,Lai Ming,Bai Shaoliang.Estimation of localspectral density of earthquake ground motion based onwavelet transform[J].Engineering Mechanics,2004,21(5):109―115.(in Chinese)
[6]王济,胡晓.MATLAB在振动信号处理中的应用[M].北京:中国水利水电出版社,2006:113,118.Wang Ji,Hu Xiao.Application of MATLAB in vibrationsignal processing[M].Beijing:China WaterConservancy and Hydropower Publishing House,2006:113,118.(in Chinese)
[7]闫维明,聂晗,任珉,冯军和,张祎,陈建秋.地铁交通引起地面振动的实测与分析[J].铁道科学与工程学报,2006,3(2):l―5.Yan Weiming,Nie Han,Ren Min,Feng Junhe,Zhang Yi,Chen Jianqiu.In situ experiment and analysis of groundsurface vibration induced by urban subway transit[J].Journal of Railway Science and Engineering,2006,3(2):1―5.(in Chinese)
[8]楼梦麟,贾旭鹏,俞洁勤.地铁运行引起的地面振动实测及传播规律分析[J].防灾减灾工程学报,2009,29(3):282―288.Lou Menglin,Jia Xupeng,Yu Jieqin.Field measurementand analysis of ground vibration induced by subwaytrains[J].Journal of Disaster Prevention and MitigationEngineering,2009,29(3):282―288.(in Chinese)
[9]Daubechies I.Ten lectures on wavelets[M].Philadelphia,Society of Industrial and Applied Mathematics,1992:3.
[10]Ziqin Z,Hojjat A.Wavelet energy spectrum fortime-frequency localization of earthquake energy[J].International Journal of Imaging Systems andTechnology,2003,13(2):133―140.
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