Time-Frequency Characteristics of Box-Girder Vibration and Noise Based on Wavelet Transform
-
摘要: 为探讨列车激励引起箱梁振动噪声的时频特性，以32 m混凝土简支箱梁为例，现场实测箱梁各板件的振动和近场噪声，并采用小波变换结合MLP （modified Littlewood-Paley）小波基的方法进行信号处理. 引入小波脊线和小波能量比两个指标对信号的时频特性进行定量分析，在此基础上，探讨了行车速度和行车方向的影响规律. 研究结果表明：相比Morlet小波和Mexihat小波，MLP小波更清晰地刻画箱梁振动噪声在时-频两域的局部集中特性；箱梁噪声比振动的频变程度要小，且前者的小波能量在频域上更为集中；翼板振动和腹板振动的频变特性分别对行车速度和行车方向敏感；45～60 Hz范围是箱梁噪声控制的关键频率范围.Abstract: In order to explore time-frequency characteristics of train-induced box-girder vibration and noise, a simply-supported concrete box-girder with a span of 32 m was selected as the case, the vibration and near-field noise of the box-girder slabs were measured, and the signals were processed by using wavelet transform with the modified Littlewood-Paley (MLP) wavelet basis. Two indexes of wavelet ridge curve and wavelet energy ratio were introduced to quantitatively analyze time-frequency characteristics. On this basis, how train speed and driving direction affect time-frequency characteristics were discussed. The results show that compared with the Morlet basis and the Mexihat basis, the MLP basis can better depict the localization of box-girder vibration and noise in both time and frequency domains. Box-girder noise has less variation in frequency than the vibration, and the former’s wavelet energy is more concentrated in frequency domain. The variation of flange vibration and web vibration in frequency domain are sensitive to train speed and driving direction, respectively. The frequency range of 45 to 60 Hz is vital for box-girder noise mitigation.
-
Key words:
- box-girder /
- vibration /
- noise /
- time-frequency characteristic /
- wavelet transform
-
图 2 不同小波基处理得到的时频分布
Figure 2. Time-frequency distribution obtained by different wavelet basis functions
图 8 近轨120 km/h下翼板振动的时频分布
Figure 8. Time-frequency distribution of flange vibration at near-track side at train speed of 120 km/h
图 10 行车方向对小波脊线的影响
Figure 10. Influence of train driving direction on wavelet ridge curves
-
THOMPSON D J. Railway noise and vibration: mechanisms, modeling and means of control[M]. Amsterdam: Elsevier, 2009: 359-395. LI X Z, ZHANG X, ZHANG Z J, et al. Experimental research on noise emanating from concrete box-girder bridges on intercity railway lines[J]. Proceedings of the Institution of Mechanical Engineers,Part F:Journal of Rail and Rapid Transit, 2015, 229(2): 125-135. doi: 10.1177/0954409713503459 尹镪,蔡成标,陈兆玮. 基于瞬态边界元法的箱梁声辐射[J]. 西南交通大学学报,2015,50(6): 1100-1105. doi: 10.3969/j.issn.0258-2724.2015.06.018YIN Qiang, CAI Chengbiao, CHEN Zhaowei. Characteristics analysis of sound radiation of box girder based on transit boundary element method[J]. Journal of Southwest Jiaotong University, 2015, 50(6): 1100-1105. doi: 10.3969/j.issn.0258-2724.2015.06.018 李克冰,张楠,夏禾,等. 高速铁路32 m简支槽形梁桥结构噪声分析[J]. 中国铁道科学,2015,36(4): 52-59. doi: 10.3969/j.issn.1001-4632.2015.04.09LI Kebing, ZHANG Nan, XIA He, et al. Analysis on structure-borne noise of 32 m simply-supported trough girder bridge for high speed railway[J]. China Railway Science, 2015, 36(4): 52-59. doi: 10.3969/j.issn.1001-4632.2015.04.09 ZHANG X, LI X Z, HAO H, et al. A case study of interior low-frequency noise from box-shaped bridge girders induced by running trains:its mechanism,prediction and countermeasures[J]. Journal of Sound and Vibration, 2016, 367(4): 129-144. doi: 10.1016/j.jsv.2016.01.004 SONG X D, LI Q, WU D J. Prediction of rail and bridge noise in near- and far-field:a combined 2.5-dimensional and two-dimensional method[J]. Journal of Vibration and Acoustics, 2017, 139(1): 011007. doi: 10.1115/1.4034769 刘林芽,曾峰,许代言,等. 多特征频率下槽形梁面板综合声学贡献量分析[J]. 铁道科学与工程学报,2017,14(1): 204-210.LIU Linya, ZENG Feng, XU Daiyan, et al. Application of integrated panel acoustics contribution theory in the study of simply-supported trough girder under multi-characteristic frequency[J]. Journal of Railway Science and Engineering, 2017, 14(1): 204-210. 罗文俊,程龙. 城市轨道交通单线U型梁振动与噪声分析[J]. 铁道工程学报,2017(5): 89-93. doi: 10.3969/j.issn.1006-2106.2017.05.016LUO Wenjun, Cheng Long. Vibration and noise analysis of single line U beam in urban rail transit[J]. Journal of Railway Engineering Society, 2017(5): 89-93. doi: 10.3969/j.issn.1006-2106.2017.05.016 DENG Y Q, XIAO X B, HE B, et al. Analysis of external noise spectrum of high-speed railway[J]. Journal of Central South University, 2014, 21(12): 4753-4761. doi: 10.1007/s11771-014-2485-3 陈双喜,林建辉,陈建政. 基于希尔伯特-黄变换提取车桥耦合系统时频特性[J]. 振动与冲击,2012,31(15): 175-179. doi: 10.3969/j.issn.1000-3835.2012.15.033CHEN Shuangxi, LIN Jianhui, CHEN Jianzheng. Time-frequency characteristics extraction of vehicle-track coupling system based on Hilbert-Huang transform[J]. Journal of Vibration and Shock, 2012, 31(15): 175-179. doi: 10.3969/j.issn.1000-3835.2012.15.033 CANTERO D, ÜLKER-KAUSTELL M, KAROUMI R. Time-frequency analysis of railway bridge response in forced vibration[J]. Mechanical Systems and Signal Processing, 2016, 76/77: 518-530. doi: 10.1016/j.ymssp.2016.01.016 葛哲学, 陈仲生. MATLAB时频分析技术及其应用[M]. 北京: 人民邮电出版社, 2006: 9-15. 黄冬梅,周实,任伟新. 基于小波变换的时变及典型非线性振动系统识别[J]. 振动与冲击,2014,33(11): 123-129,147.HUANG Dongmei, ZHOU Shi, REN Weixin. Parameter identification of time-varying and typical nonlinear vibration system based on wavelet transform[J]. Journal of Vibration and Shock, 2014, 33(11): 123-129,147. LI Q, WU D J. Analysis of the dominant vibration frequencies of rail bridges for structure-borne noise using a power flow method[J]. Journal of Sound and Vibration, 2013, 332(18): 4153-4163. doi: 10.1016/j.jsv.2013.02.036 -
下载:
点击查看大图
图(11)
计量
- 文章访问数: 574
- HTML全文浏览量: 265
- PDF下载量: 15
- 被引次数: 0