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LI Jin-hua, ZHANG Huan-tao, LIU Quan-min. Frequency domain analysis for maximum displacement response of bridges excited by single moving load[J]. Journal of Traffic and Transportation Engineering, 2020, 20(1): 74-81. doi: 10.19818/j.cnki.1671-1637.2020.01.005
Citation: LI Jin-hua, ZHANG Huan-tao, LIU Quan-min. Frequency domain analysis for maximum displacement response of bridges excited by single moving load[J]. Journal of Traffic and Transportation Engineering, 2020, 20(1): 74-81. doi: 10.19818/j.cnki.1671-1637.2020.01.005
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Frequency domain analysis for maximum displacement response of bridges excited by single moving load

doi: 10.19818/j.cnki.1671-1637.2020.01.005

  • School of Civil Engineering and Architecture, East China Jiaotong University, Nanchang 330013, Jiangxi, China

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  • Author Bio:

    LI Jin-hua(1981-), male, associate professor, PhD, Jinhua.lee@foxmail.com

  • Received Date: 2019-08-02
  • Publish Date: 2020-02-25
    Abstract
  • To establish the relationship between the operation speed of train and the maximum displacement response of bridge more effectively, a frequency domain analysis method was proposed for the maximum displacement response of bridge excited by a single moving load. The Fourier transform was used to derive the moving load spectrum and the vibration displacement response spectrum of bridge when a single moving load passing through the beam bridge at a constant speed. The moving load speed causing the extreme free vibration displacement response of bridge was obtained by analyzing the moving load amplitude spectrum, and a calculation formula for the moving load speed was proposed. Taking a simply-supported beam as an example, the correctness of numerical calculation procedure in this paper was verified by comparing with the results of related literatures. Based on this procedure, the correctness of theoretical derivation of frequency domain analysis method and the accuracy of moving load speed formula were verified through the numerical analysis. Research result shows that the moving load amplitude spectrum obtained in the frequency domain is consistent with the amplitude response law of free vibration of bridge obtained in the time domain, so the moving load amplitude spectrum can effectively reflect the free vibration displacement response of bridge. The moving load speed corresponding to the maximum free vibration displacement response of bridge is equal to that corresponding to the maximum amplitude spectrum of moving load, and the moving load speeds corresponding to other extreme points of moving load amplitude spectrum are also consistent with those of the extreme points in the free vibration displacement response of bridge. In the free vibration phase, the speed of single moving load correeponding to the extrem point of displacement response of bridge is only related to the natural frequency and span of bridge. When a single moving load passes through a bridge at the resonant speed, the responses of forced and free vibration displacements are not the maximum response. Therefore, for the train operation speed of high-speed railway bridges, in addition to the resonance speed of train, more attention should be paid to the speed causing the maximum displacement response of bridge.

     

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    • References(30)
  • [1]
    LI Xiao-zhen, QIANG Shi-zhong. State-of-the-art review and trend of studies on vehicle-bridge interaction[J]. Journal of the China Railway Society, 2002, 24(5): 112-120. (in Chinese). doi: 10.3321/j.issn:1001-8360.2002.05.024
    [2]
    LIN C C, WANG J F, CHEN B L. Train-induced vibration control of high-speed railway bridges equipped with multiple tuned mass dampers[J]. Journal of Bridge Engineering, 2005, 10(3): 398-414.
    [3]
    MENG Xin, LIU Peng-hui, YAO Jing-chuan, et al. Experimental analysis of dynamic performance of 32 m-span simply-supported box-girder on high speed railway[J]. Railway Engineering, 2016(1): 10-15. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-TDJZ201601003.htm
    [4]
    LI Xiao-zhen, QIANG Shi-zhong. Coupling vibration analysis for long span steel cable-stayed bridge crossing over Yangtze River at Nanjing on Beijing-Shanghai High-Speed Railway[J]. Journal of Southwest Jiaotong University, 1999, 34(2): 153-157. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-XNJT902.005.htm
    [5]
    KANG Rui, ZHENG Kai-feng, LI Huai-guang, et al. Rigidity characteristics of multi-span suspension bridges under train loads[J]. Journal of Southwest Jiaotong University, 2010, 45(3): 346-350. (in Chinese). doi: 10.3969/j.issn.0258-2724.2010.03.004
    [6]
    ZHU Zhi-hui, ZHU Yu-long, YU Zhi-wu, et al. Analysis on the dynamic response and running safety of 96 m steel box tied arch bridge[J]. China Railway Science, 2013, 34(6): 21-29. (in Chinese). doi: 10.3969/j.issn.1001-4632.2013.06.04
    [7]
    WANG Qing-bo, WANG Sheng, XU Ke-bin, et al. Dynamic responses of high-speed railway continuous bridge[J]. Journal of Northern Jiaotong University, 1997, 21(4): 399-404. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-BFJT704.005.htm
    [8]
    XIA He, CHEN Jian-guo, WEI Peng-bo, et al. Experimental investigation of railway train-induced vibrations of surrounding ground and a nearby multi-story building[J]. Earthquake Engineering and Engineering Vibration, 2009, 8(1): 137-148. doi: 10.1007/s11803-009-8101-0
    [9]
    HE Wei. Vertical dynamics of a single-span beam subjected to moving mass-suspended payload system with variable speeds[J]. Journal of Sound and Vibration, 2018, 418: 36-54. doi: 10.1016/j.jsv.2017.12.030
    [10]
    MIGUEL L F F, LOPEZ R H, TORII A J, et al. Robust design optimization of TMDs in vehicle-bridge coupled vibration problems[J]. Engineering Structures, 2016, 126: 703-711. doi: 10.1016/j.engstruct.2016.08.033
    [11]
    LIU K, DE ROEK G, LOMBAERT G. The effect of dynamic train-bridge interaction on the bridge response during a train passage[J]. Journal of Sound and Vibration, 2009, 325(1/2): 240-251.
    [12]
    LIU Jian-xin, YI Ming-hui, WANG Kai-yun. Characteristic of dynamic interaction between wheel and rail due to wheel tread flat on heavy haul railway[J]. Journal of Traffic and Transportation Engineering, 2010, 10(3): 52-56. (in Chinese). doi: 10.3969/j.issn.1671-1637.2010.03.009
    [13]
    ZHANG Jian, JIN Xue-song, XIAO Xin-biao, et al. Solution methods of rail model in vehicle-track coupling dynamics[J]. Journal of Traffic and Transportation Engineering, 2011, 11(2): 32-38. (in Chinese). doi: 10.3969/j.issn.1671-1637.2011.02.006
    [14]
    ZHOU Yong-zheng. Study on specifications of high speed railway resonance[J]. Railway Standard Design, 2018, 62(9): 182-186. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-TDBS201809037.htm
    [15]
    JU S H, LIN H T. Resonance characteristics of high-speed trains passing simply supported bridges[J]. Journal of Sound and Vibration, 2003, 267: 1127-1141. doi: 10.1016/S0022-460X(02)01463-3
    [16]
    YAU J D, YANG Y B. Vertical accelerations of simple beams due to successive loads traveling at resonant speeds[J]. Journal of Sound and Vibration, 2006, 289(1/2): 210-228.
    [17]
    WANG Ying-jie, SHI Jin, WEI Qing-chao. Resonance and vibration cancellation analysis of a vehicle with flexible car body moving over multi-span bridge[J]. Journal of Vibration and Shock, 2015, 34(2): 1-8. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-ZDCJ201502001.htm
    [18]
    SU Mu-biao, LI Jian-zhong, LIANG Zhi-guang. Vertical resonance phenomenon of simply supported girder bridges of high-speed railways[J]. Engineering Mechanics, 2001, 18(5): 84-94. (in Chinese). doi: 10.3969/j.issn.1000-4750.2001.05.011
    [19]
    HUANG Wen-jie, LUO Guang-cai, PENG Dan, et al. Analysis on the vertical resonance effect of simply-supported beam bridge parameters on high-speed railway[J]. Journal of Railway Science and Engineering, 2016, 13(8): 1474-1481. (in Chinese). doi: 10.3969/j.issn.1672-7029.2016.08.004
    [20]
    SHEN Rui-li. Research of vertical vibration response of simply supported beam bridge on high speed railway[J]. China Railway Science, 1996, 17(3): 24-34. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-ZGTK603.002.htm
    [21]
    NING Xiao-jun, YE Liao-yuan, MIAO Sheng. Research on the relationship between the bridge span arrangement in high railway and the bridge resonance[J]. Journal of Vibration and Shock, 2000, 19(3): 71-73, 88. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-ZDCJ200003022.htm
    [22]
    XIA He, ZHANG Nan, GUO Wei-wei. Analysis of resonance mechanism and conditions of train-bridge system[J]. Journal of Sound and Vibration, 2006, 297: 810-822. doi: 10.1016/j.jsv.2006.04.022
    [23]
    LI Hui-le, XIA He, GUO Wei-wei. Study on mechanism of resonance and vibration cancellation for simply-supported beam under moving loads[J]. Engineering Mechanics, 2013, 30(7): 47-54. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-GCLX201307010.htm
    [24]
    LI Hui-le, XIA He, GUO Wei-wei. Effects of vibration resonance and cancellation for simply beams under train load[J]. Journal of Vibration Engineering, 2014, 27(2): 172-179. (in Chinese). doi: 10.3969/j.issn.1004-4523.2014.02.003
    [25]
    ZHANG Tian, XIA He, GUO Wei-wei. Dynamic signatures method for analysis of vehicle-bridge resonance[J]. Journal of Chongqing University, 2012, 35(8): 54-61. (in Chinese).
    [26]
    PESTEREV A V, YANG B, BERGMAN L A, et al. Revisiting the moving force problem[J]. Journal of Sound and Vibration, 2003, 261(1): 75-91.
    [27]
    KUMAR C P S, SUJATHA C, SHANKAR K. Vibration of simply supported beams under a single moving load: a detailed study of cancellation phenomenon[J]. International Journal of Mechanical Sciences, 2015, 99: 40-47.
    [28]
    MUSEROS P, MOLINER E, MARTINEZ-RODRIGO M D. Free vibrations of simply-supported beam bridges under moving loads: maximum resonance, cancellation and resonant vertical acceleration[J]. Journal of Sound and Vibration, 2013, 332(2): 326-345.
    [29]
    WANG J F, LIN C C, CHEN B L. Vibration suppression for high-speed railway bridges using tuned mass dampers[J]. International Journal of Solids and Structures, 2003, 40(2): 465-491.
    [30]
    LYU Long, LI Jian-zhong. Longitudinal resonance mechanism of a long-span cable-stayed railway bridge under moving loads[J]. China Civil Engineering Journal, 2018, 51(2): 81-87. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-TMGC201802010.htm
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