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Inversion of excitation source in ground vibration from urban railway traffic

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Abstract

Urban trains running on ground surface lead to evironmental ground vibrations in the vicinity of railwaylines. The complicated vibration source of the system can hardly be measured directly. The inversion methodology in engineering seismology is borrowed here to study the dynamic exciting sourec, i.e., the wheel-rail unevenness. A dynamic coupled train-track-3D ground model is combined with a genetic algorithm for the inversion. The solution space of the inversion variables, the objective function and the solving genetic strategy of the inversion are determined, and a joint inversion for the wheel-rail unevenness source function and some track structure parameters is therefore designed. The wheel-rail unevenness PSD, being the source function of No. 13 Beijing urban railway, is obtained by the inversoin based on observed data in the field. The result indicates that the source function discribes the track unevenness in the range of wavelength over 1.2 m, and reflects properly wheel irregularites in the range of wavelength shorter than 1.2 m. It should be noticed that the urban rail traffic is not very fast, and this range of short wavelength is exactly corresponding to the main frequency band of environmental vibrations from the traffic. The unevenness of wavelength under 1.2 m is underestimated, and the ground vibration in the main frequency band must be underestimated consequently, if the track unevenness spectrum is taken as the source function. Rather than the track spectrum reflecting just the evenness of track, the wheel-rail spectrum expresses both the track unevenness and the irregularities of wheels, and therefore is more suitable to be the source function of urban railway traffic. It is also convinced that the exciting source inversion according to observed ground vibrations is an effective way to detect quantitatively the combined wheel-rail unevenness.

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References

  1. Hu X Y, Xiong F. Response analysis of microvibration of high technology building (in Chinese). Earthq Eng Eng Vib, 2006, 26: 56–62

    Google Scholar 

  2. Gupta S, Liu W F, Degrande G, et al. Prediction of vibrations induced by underground railway traffic in Beijing. J Sound Vib, 2008, 310: 608–630

    Article  Google Scholar 

  3. Bata M. Effects on buildings of vibrations caused by traffic. Building Sci, 1971, 6: 221–246

    Article  Google Scholar 

  4. Xia H, Cao Y M. Problem of railway traffic induced vibrations of environments (in Chinese). J Rai Sci Eng, 2004, 1: 44–51

    Google Scholar 

  5. Sheng X, Jones C J C, Thompson D J. A comparison of a theoretical model for quasi-statically and dynamically induced environmental vibration from trains with measurements. J Sound Vib, 2003, 267: 621–635

    Article  Google Scholar 

  6. Sheng X, Jones C J C, Thompson D J. A theoretical model for ground vibration from trains generated by vertical track irregularities. J Sound Vib, 2004, 262: 937–965

    Article  Google Scholar 

  7. Lombaert G, Degrande G, Kogut J, et al. The experimental validation of a numerical model for the prediction of railway induced vibrations. J Sound Vib, 2006, 297: 512–535

    Article  Google Scholar 

  8. Galvin P, Francois S, Schevenels M, et al. A 2.5D coupled FE-BE model for the prediction of railway induced vibrations. Soil Dyn Earthq Eng, 2010, 30: 1500–1512

    Article  Google Scholar 

  9. Lombaert G, Degrande G. Ground-borne vibration due to static and dynamic axle loads of Intercity and high-speed trains. J Sound Vib, 2009, 319: 1036–1066

    Article  Google Scholar 

  10. Sheng X, Jones C J C, Thompson D J. Prediction of ground vibration from trains using the wavenumber finite and boundary element methods. J Sound Vib, 2006, 293: 575–586

    Article  Google Scholar 

  11. Dings P C, Dittrich M G. Roughness on Dutch railway wheels and rails. J Sound Vib, 1996, 193: 103–112

    Article  Google Scholar 

  12. Luo L, Zhang G M, Wu W Q, et al. Evenness Control of Wheel-rail System (in Chinese). Beijing: China Railway Press, 2006. 1–11

    Google Scholar 

  13. Xia H, Zhang N. Dynamic Interaction of Vehicles and Structures (in Chinese). 2nd ed. Beijing: Science Press, 2005. 93–97

    Google Scholar 

  14. Zhai W M. Vehicle-track Coupling Dynamics (in Chinese). 3rd ed. Beijing: Science Press, 2007. 88–91

    Google Scholar 

  15. Wang F T, Tao X X, Zheng X, et al. PSD Correction method for removing background vibration from traffic environmental vibration observation (in Chinese). J Vib Shock, 2011, 30: 137–141

    Google Scholar 

  16. Wang F T, Tao X X, Cui G H, et al. In situ experimental study on free field ground vibration near urban railway line (in Chinese). J Vib Shock, 2011, 30: 129–132

    Google Scholar 

  17. Sheng X, Jones C J C, Petyt M. Ground vibration generated by a load moving along a railway track. J Sound Vib, 1999, 228: 129–156

    Article  Google Scholar 

  18. Krishnakumar K. Micro-genetic algorithms for stationary non-stationary function optimization. In: Intelligent Control and Adaptive Systems, SPIE Proceedings, 1989, 1196: 289–296

    Google Scholar 

  19. Zheng X, Tao X X, Wang F T. Virtual inversion of vibration source parameters of wheel-rail impact (in Chinese). J HIT, 2010, 42: 1232–1234

    Google Scholar 

  20. Tao X X, Wang F T, Zheng X, et al. Validation of an inversion scheme for source of ground vibration near to urban railway. In: Proc 4th ISEV, 2009. 79–84

  21. Zheng X, Tao X X, Wang F T. Virtual inversion of vibration source on surface of single soil layer overlaid on elastic half-space. In: Proc 4th ISEV, 2009. 532–537

  22. Tao X X, Shi L J. Virtual inversion of ground wave velocity structure by microtremors array observation (in Chinese). Earthquake Engineering and Disaster Mitigation Facing the New Century. Beijing: Earthquake Press, 2002. 443–452

    Google Scholar 

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Correspondence to FuTong Wang.

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Wang, F., Tao, X. & Zheng, X. Inversion of excitation source in ground vibration from urban railway traffic. Sci. China Technol. Sci. 55, 950–959 (2012). https://doi.org/10.1007/s11431-011-4665-9

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  • DOI: https://doi.org/10.1007/s11431-011-4665-9

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