Full Text:   <4189>

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CLC number: U28

On-line Access: 2017-07-04

Received: 2016-03-06

Revision Accepted: 2016-12-16

Crosschecked: 2017-06-16

Cited: 0

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Citations:  Bibtex RefMan EndNote GB/T7714


F. Lamas-Lopez


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Journal of Zhejiang University SCIENCE A 2017 Vol.18 No.7 P.553-566


Assessment of integration method for displacement determination using field accelerometer and geophone data

Author(s):  F. Lamas-Lopez, Y. J. Cui, S. Costa D’Aguiar, N. Calon

Affiliation(s):  Ecole des Ponts ParisTech, Laboratoire Navier/CERMES, Marne-la-Vallée, France; more

Corresponding email(s):   lamas1987@gmail.com

Key Words:  Railway track, Vibrations, Accelerometer, Geophone, Linear variable differential transformer (LVDT), Integration method, Deflection amplitude estimation, Measurement repeatability

F. Lamas-Lopez, Y. J. Cui , S. Costa D’Aguiar, N. Calon. Assessment of integration method for displacement determination using field accelerometer and geophone data[J]. Journal of Zhejiang University Science A, 2017, 18(7): 553-566.

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publisher="Zhejiang University Press & Springer",

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%T Assessment of integration method for displacement determination using field accelerometer and geophone data
%A F. Lamas-Lopez
%A Y. J. Cui
%A S. Costa D’Aguiar
%A N. Calon
%J Journal of Zhejiang University SCIENCE A
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%N 7
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%D 2017
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A1600212

T1 - Assessment of integration method for displacement determination using field accelerometer and geophone data
A1 - F. Lamas-Lopez
A1 - Y. J. Cui
A1 - S. Costa D’Aguiar
A1 - N. Calon
J0 - Journal of Zhejiang University Science A
VL - 18
IS - 7
SP - 553
EP - 566
%@ 1673-565X
Y1 - 2017
PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.A1600212

A conventional French railway track was instrumented with accelerometers and geophones at three depths: sleeper (surface), interlayer (ITL, z=−0.93 m), and transition layer (TL, z=−1.20 m). A linear variable differential transformer (LVDT) was also used to monitor the displacement at the sleeper level. The recorded data allow the integration method (double for accelerometer and simple for geophone) for displacement determination to be assessed. Several questions need to be addressed prior to the selection of an adequate monitoring system: definition of signal filtering processes, influence on results of the different loading wavelengths, repeatability of measurements, train speed and axle load impact and their ranges of validity for each sensor. It was found that the main frequencies that caused more than 95% of the displacement of the monitored materials are in the low frequency range: <25 Hz for trains running up to 200 km/h. For an intercity train, the low frequencies are normally excited by long wavelengths, for instance, those corresponding to the 1/2 coach distance (λ=13.20 m), the bogies distance (λ=6.3 m), and the axle distance (λ=2.8 m). Comparison between the displacements deduced from the records of accelerometer and geophone and obtained from the records of LVDT shows quite consistent results; the mean displacement amplitudes obtained from accelerometers differ by only 20% from the LVDT records. The train speed does not have a strong effect on the obtained differences between sensors. The embedded sensors also gave consistent displacement results for each analysed depth. Moreover, the displacement amplitudes caused by different axle loads (locomotive or passenger coach) are distinguishable for all sensors at all depths. This validates the integration method used for the displacement determination.


创新点:1. 评价和分析一种积分方法,该方法利用低通滤波法但不消除产生变形的主要频率;2. 通过对位移、速度和加速度传感器在时域和频域结果的比较,使重复性得到保证。
结论:通过测试和分析发现,95%的位移幅值来自于波长大于轴距(2.8 m)的激励,对应的低频为25 Hz(列车运行速度为200 km/h)。通过线性可变差位移传感器、地震检波器以及加速度计直接获得或间接积分获得的位移十分接近,验证了积分方法的有效性,且其具有较高的可重复性。


Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article


[1]Auersch, L., 1994. Wave propagation in layered soils: theoretical solution in wavenumber domain and experimental results of hammer and railway traffic excitation. Journal of Sound and Vibration, 173(2):233-264.

[2]Boore, D.M., 2001. Effect of baseline corrections on displacements and response spectra for several recordings of the 1999 Chi-Chi, Taiwan, Earthquake. Bulletin of the Seismological Society of America, 91(5):1199-1211.

[3]Boore, D.M., 2003. Analog-to-digital conversion as a source of drifts in displacements derived from digital recordings of ground acceleration. Bulletin of the Seismological Society of America, 93(5):2017-2024.

[4]Boore, D.M., Bommer, J.J., 2005. Processing of strong-motion accelerograms: needs, options and consequences. Soil Dynamics and Earthquake Engineering, 25(2):93-115.

[5]Boore, D.M., Stephens, C.D., Joyner, W.B., 2002. Comments on baseline correction of digital strong-motion data: examples from the 1999 Hector Mine, California, Earthquake. Bulletin of the Seismological Society of America, 92(4):1543-1560.

[6]Bowness, D., Lock, A.C., Powrie, W., et al., 2007. Monitoring the dynamic displacements of railway track. Proceedings of the Institution of Mechanical Engineers, Part F: Journal of Rail and Rapid Transit, 221(1):13-22.

[7]Connolly, D.P., Kouroussis, G., Fan, W.Z., et al., 2013. An experimental analysis of embankment vibrations due to high speed rail. Proceedings of the 12th International Railway Engineering Conference (Railway Engineering).

[8]Connolly, D.P., Kouroussis, G., Woodward, P.K., et al., 2014. Field testing and analysis of high speed rail vibrations. Soil Dynamics and Earthquake Engineering, 67:102-118.

[9]Connolly, D.P., Costa, P.A., Kouroussis, G., et al., 2015. Large scale international testing of railway ground vibrations across europe. Soil Dynamics and Earthquake Engineering, 71:1-12.

[10]Costa, P.A., Calcada, R., Cardoso, A.S., 2012. Track–ground vibrations induced by railway traffic: in-situ measurements and validation of a 2.5D FEM-BEM model. Soil Dynamics and Earthquake Engineering, 32(1):111-128.

[11]Cui, Y.J., Lamas-Lopez, F., Trinh, V.N., et al., 2014. Investigation of interlayer soil behaviour by field monitoring. Transportation Geotechnics, 1(3):91-105.

[12]Degrande, G., Schillemans, L., 2001. Free field vibrations during the passage of a Thalys high-speed train at variable speed. Journal of Sound and Vibration, 247(1):131-144.

[13]Ferreira, P.A., López-Pita, A., 2015. Numerical modelling of high speed train/track system for the reduction of vibration levels and maintenance needs of railway tracks. Construction and Building Materials, 79:14-21.

[14]Fröhling, R.D., 1997. Deterioration of Railway Track Due to Dynamic Vehicle Loading and Spatially Varying Track Stiffness. PhD Thesis, University of Pretoria, South Africa.

[15]Galvín, P., Domínguez, J., 2007. Analysis of ground motion due to moving surface loads induced by high-speed trains. Engineering Analysis with Boundary Elements, 31(11):931-941.

[16]Galvín, P., Domínguez, J., 2009. Experimental and numerical analyses of vibrations induced by high-speed trains on the Córdoba–Málaga line. Soil Dynamics and Earthquake Engineering, 29(4):641-657.

[17]Graizer, V.M., 2010. Strong motion recordings and residual displacements: what are we actually recording in strong motion seismology? Seismological Research Letters, 81(4):635-639.

[18]Hall, L., 2003. Simulations and analyses of train-induced ground vibrations in finite element models. Soil Dynamics and Earthquake Engineering, 23(5):403-413.

[19]Hendry, M.T., Barbour, L., Hughes, D.A., 2010. Track displacement and energy loss in a railway embankment. Proceedings of the Institution of Civil Engineers-Geotechnical Engineering, 163(1):3-12.

[20]Hendry, M.T., Martin, C.D., Barbour, S.L., 2013. Measurement of cyclic response of railway embankments and underlying soft peat foundations to heavy axle loads. Canadian Geotechnical Journal, 50(5):467-480.

[21]Kornylo, J., Jain, V., 1974. Two-pass recursive filter with zero phase shift. IEEE Transactions on Acoustics Speech and Signal Processing, 22(5):384-387.

[22]Kouroussis, G., Connolly, D.P., Verlinden, O., 2014. Railway-induced ground vibrations–a review of vehicle effects. International Journal of Rail Transportation, 2(2):69-110.

[23]Kouroussis, G., Caucheteur, C., Kinet, D., et al., 2015. Review of trackside monitoring solutions: from strain gages to optical fibre sensors. Sensors, 15(8):20115-20139.

[24]Kyoya, N., Arakawa, K., 2009. A method for impact noise reduction from speech using a stationary-nonstationary separating filter. International Symposium on Communications and Information, p.33-37.

[25]Lamas-Lopez, F., Cui, Y.J., Calon, N., et al., 2016a. Geotechnical auscultation of a French conventional railway track-bed for maintenance purposes. Soils and Foundations, 56(2):240-250.

[26]Lamas-Lopez, F., Cui, Y.J., Calon, N., et al., 2016b. Track-bed mechanical behaviour under the impact of train at different speeds. Soils and Foundations, 56(4):627-639.

[27]Le Pen, L., Watson, G., Powrie, W., et al., 2014. The behaviour of railway level crossings: insights through field monitoring. Transportation Geotechnics, 1(4):201-213.

[28]Madshus, C., Kaynia, A.M., 2000. High-speed railway lines on soft ground: dynamic behaviour at critical train speed. Journal of Sound and Vibration, 231(3):689-701.

[29]Mishra, D., Tutumluer, E., Boler, H., et al., 2014. Instrumentation and performance monitoring of railroad track transitions using multidepth deflectometers and strain gauges. 93rd Annual Meeting of the Transportation Research Board.

[30]Müller-Boruttau, F.H., Breitsamer, N., 2004. Elastic Elements Reduce the Loads Exerted on the Permanent Way. Technical Note, Beratende Ingenieure BYIK, Germany.

[31]Priest, J.A., Powrie, W., 2009. Determination of dynamic track modulus from measurement of track velocity during train passage. Journal of Geotechnical and Geoenvironmental Engineering, 135(11):1732-1740.

[32]Priest, J.A., Powrie, W., Grabe, P.J., et al., 2010. Measurements of transient ground movements below a ballasted railway line. Géotechnique, 60(9):667-677.

[33]Stiros, S.C., 2008. Errors in velocities and displacements deduced from accelero-graphs: an approach based on the theory of error propagation. Soil Dynamics and Earthquake Engineering, 28(5):415-420.

[34]Thong, Y.K., Woolfson, M.S., Crowe, J.A., et al., 2002. Dependence of inertial measurements of distance on accelerometer noise. Measurement Science and Technology, 13(8):1163-1172.

[35]Trifunac, M.D., 1971. Zero baseline correction of strong-motion accelerograms. Bulletin of the Seismological Society of America, 61(5):1201-1211.

[36]Yang, J., Li, J.B., Lin, G., 2006. A simple approach to integration of acceleration data for dynamic soil–structure interaction analysis. Soil Dynamics and Earthquake Engineering, 26(8):725-734.

[37]Zuada-Coelho, B.E., 2011. Dynamics of Railway Transition Zones in Soft Soils. MS Thesis, University of Porto, Portugal.

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