DOI QR코드

DOI QR Code

GPS/RTS data fusion to overcome signal deficiencies in certain bridge dynamic monitoring projects

  • Moschas, Fanis (Laboratory of Geodesy and Geodetic Applications, Department of Civil Engineering, University of Patras) ;
  • Psimoulis, Panos A. (Geodesy and Geodynamics Lab.) ;
  • Stiros, Stathis C. (Laboratory of Geodesy and Geodetic Applications, Department of Civil Engineering, University of Patras)
  • Received : 2012.09.04
  • Accepted : 2012.11.07
  • Published : 2013.09.25

Abstract

Measurement of deflections of certain bridges is usually hampered by corruption of the GPS signal by multipath associated with passing vehicles, resulting to unrealistically large apparent displacements. Field data from the Gorgopotamos train bridge in Greece and systematic experiments revealed that such bias is due to superimposition of two major effects, (i) changes in the geometry of satellites because of partial masking of certain satellites by the passing vehicles (this effect can be faced with solutions excluding satellites that get temporarily blocked by passing vehicles) and (ii) dynamic multipath caused from reflection of satellite signals on the passing trains, a high frequency multipath effect, different from the static multipath. Dynamic multipath seems to have rather irregular amplitude, depending on the geometry of measured satellites, but a typical pattern, mainly consisting of a baseline offset, wide base peaks correlating with the sequence of main reflective surfaces of the vehicles passing next to the antenna. In cases of limited corruption of GPS signal by dynamic multipath, corresponding to scale distortion of the short-period component of the GPS waveforms, we propose an algorithm which permits to reconstruct the waveform of bridge deflections using a weak fusion of GPS and RTS data, based on the complementary characteristics of the two instruments. By application of the proposed algorithm we managed to extract semi-static and dynamic displacements and oscillation frequencies of a historical railway bridge under train loading by using noisy GPS and RTS recordings. The combination of GPS and RTS is possible because these two sensors can be fully collocated and have complementary characteristics, with RTS and GPS focusing on the long- and short-period characteristics of the displacement, respectively.

Keywords

References

  1. Ashkenazi, V. and Roberts, G. (1997), "Experimental monitoring of the Humber bridge using GPS", Proceedings of the Institution of Civil Engineers. Civil engineering, 120(4), 177-182. https://doi.org/10.1680/icien.1997.29810
  2. Brownjohn, J.M.W., Dumanoglu, A.A. and Severn, R.T. (1992), "Ambient vibration survey of the fatih sultan mehmet (second Bosporus) suspension bridge", Earthq. Eng. Struct. D., 21(10), 907-924. https://doi.org/10.1002/eqe.4290211005
  3. Casciati, F. and Fuggini, C. (2011), "Monitoring a steel building using GPS Sensors", Smart Struct. Syst., 7(5), 349-363. https://doi.org/10.12989/sss.2011.7.5.349
  4. Chan, W.S., Xu, Y.L., Ding, X.L., Xiong, Y.L. and Dai, W.J. (2006), "Assessment of dynamic measurement accuracy of GPS in three directions", J. Surv. Eng. - ASCE., 132(3), 108. https://doi.org/10.1061/(ASCE)0733-9453(2006)132:3(108)
  5. Choi, K., Bilich, A., Larson, K.M. and Axelrad, P. (2004), "Modified sidereal filtering: Implications for high-rate GPS positioning", Geophys. Res. Lett., 31, L22608. https://doi.org/10.1029/2004GL021621
  6. Clough, R. and Penzien, W. (1993), Dynamics of Structures, McGraw-Hill International Editions.
  7. Erdogan, H. and Gulal, E. (2009), "The application of time series analysis to describe the dynamic movements of suspension bridges", Nonlinear Anal.- Real., 10(2), 910-927. https://doi.org/10.1016/j.nonrwa.2007.11.013
  8. Ge, L., Han, S. and Rizos, C. (2000), "Multipath mitigation of continuous GPS measurements using an adaptive filter", GPS Solutions, 4(2), 19-30. https://doi.org/10.1007/PL00012838
  9. Gentile, C. and Bernardini, G. (2008), "Output-only modal identification of a reinforced concrete bridge from radar-based measurements", NDT & E Int., 41(7), 544-553. https://doi.org/10.1016/j.ndteint.2008.04.005
  10. Gikas, V. and Daskalakis, S. (2006), "Full scale validation of tracking total stations using a long stroke electrodynamic shaker", Proceedings of the XXIII FIG congress: Shaping the change.
  11. Gikas, Vassilis. (2012), "Ambient vibration monitoring of slender structures by microwave interferometer remote sensing", J. Geodesy, 6(3-4), 167-176.
  12. Han, S, and Rizos, C. (1997), "Multipath effects on GPS in mine environments", Proceedings of the 10th International Congress of the International Society for Mine Surveying, Fremantle, Australia(2-6 November).
  13. Kaplan, E. D. and Hegarty, C. J. (2006), Understanding GPS: principles and applications, Artech House.
  14. Kijewski-Correa, T. and Kareem, A. (2003), "The height of precision", GPS World, 14(9), 20-34.
  15. Kijewski-Correa, T., Kareem, A. and Kochly, M. (2006), "Experimental verification and full-scale deployment of global positioning systems to monitor the dynamic response of tall buildings", J. Struct. Eng.- ASCE, 132(8), 1242. https://doi.org/10.1061/(ASCE)0733-9445(2006)132:8(1242)
  16. Kogan, M.G., Kim, W.Y., Bock, Y. and Smyth, A.W. (2008), "Load response on a large suspension bridge during the NYC marathon revealed by GPS and accelerometers", Seismol. Res. Lett., 79(1), 12 -19. https://doi.org/10.1785/gssrl.79.1.12
  17. Langley, R.B. (1997), "GPS receiver system noise", GPS World, 8, 40-45.
  18. Lee, C.H., Kawatani, M., Kim, C.W., Nishimura, N. and Kobayashi, Y. (2006), "Dynamic response of a monorail steel bridge under a moving train", J. Sound Vib., 294(3), 562-579. https://doi.org/10.1016/j.jsv.2005.12.028
  19. Lekidis, V., Tsakiri, M., Makra, K., Karakostas, C., Klimis, N. and Sous, I. (2005), "Evaluation of dynamic response and local soil effects of the Evripos cable-stayed bridge using multi-sensor monitoring systems", Geology, 79(1-2), 43-59.
  20. Li, H.N., Yi, T.H., Yi, X.D. and Wang, G.X. (2007), "Measurement and analysis of wind-induced response of tall building based on GPS technology", Adv. Struct. Eng., 10(1), 83-93. https://doi.org/10.1260/136943307780150869
  21. Liu, K., Reynders, E., De Roeck, G. and Lombaert, G. (2009), "Experimental and numerical analysis of a composite bridge for high-speed trains", J. Sound Vib., 320(1-2), 201-220. https://doi.org/10.1016/j.jsv.2008.07.010
  22. Macdonald, J.H. (2009), "Lateral excitation of bridges by balancing pedestrians", P. Roy. Soc. A: Math. Phy., 465(2104), 1055 -1073. https://doi.org/10.1098/rspa.2008.0367
  23. Matayoshi, N. and Okuno, Y. (2007), "In-flight GPS-signal-reception anomalies of helicopters", J. Aircraft, 44(5), 1755 -1757. https://doi.org/10.2514/1.32324
  24. Meng, X., Dodson, A.H. and Roberts, G.W. (2007), "Detecting bridge dynamics with GPS and triaxial accelerometers", Eng. Struct., 29(11), 3178-3184. https://doi.org/10.1016/j.engstruct.2007.03.012
  25. Moschas, F. and Stiros, S. (2011), "Measurement of the dynamic displacements and of the modal frequencies of a short-span pedestrian bridge using GPS and an accelerometer", Eng. Struct., 33(1), 10-17. https://doi.org/10.1016/j.engstruct.2010.09.013
  26. Moschas, F. and Stiros, S. (2012), "Noise characteristics of short-duration, high frequency GPS-records", Advanced Mathematical and Computational Tools in Metrology and Testing, vol.9 (Eds., F Pavese, M Bar, J-R Filtz, A.B. Forbes, L. Pendrill and H. Shirono), Series on Advances in Mathematics for Applied Sciences vol. 84, World Scientific, Singapore.
  27. Moschas, F. and Stiros, S. (In press a), "Dynamic multipath in structural bridge monitoring: an experimental approach", GPS Solutions, DOI:10.1007/s10291-013-0322-z.
  28. Moschas, F. and Stiros, S.C. (in press b), "Three-dimensional dynamic deflections and natural frequencies of a stiff footbridge based on measurements of collocated sensors", Struct. Health Monit., DOI: 10.1002/stc.1547.
  29. Nakamura, S. (2000), "GPS measurement of wind-induced suspension bridge girder displacements", J. Struct. Eng. - ASCE, 126(12), 1413-1419. https://doi.org/10.1061/(ASCE)0733-9445(2000)126:12(1413)
  30. Park, H.S., Sohn, H.G., Kim, I.S. and Park, J.H. (2008), "Application of GPS to monitoring of wind-induced responses of high-rise buildings", Struct. Des. Tall Spec., 17(1), 117-132. https://doi.org/10.1002/tal.335
  31. Psimoulis, P. and Stiros, S. (2013), "Measuring deflections of a short-span railway bridge using a Robotic Total Station (RTS)", J. Bridge Eng., 18(2), 182-185. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000334
  32. Psimoulis, P. and Stiros, S. (2012), "A supervised learning computer-based algorithm to derive the amplitude of oscillations of structures using noisy GPS and Robotic Theodolites (RTS) records", Comput. Struct., 92-93, 337-348. https://doi.org/10.1016/j.compstruc.2011.10.019
  33. Psimoulis, P.A. and Stiros, S.C. (2008), "Experimental assessment of the accuracy of GPS and RTS for the determination of the parameters of oscillation of major structures", Comput. Aided Civil Infrastruct. Eng., 23(5), 389-403. https://doi.org/10.1111/j.1467-8667.2008.00547.x
  34. Psimoulis, P.A. and Stiros, S.C. (2007), "Measurement of deflections and of oscillation frequencies of engineering structures using Robotic Theodolites (RTS)", Eng. Struct., 29(12), 3312-3324. https://doi.org/10.1016/j.engstruct.2007.09.006
  35. Psimoulis, P., Pytharouli, S., Karambalis, D. and Stiros, S. (2008), "Potential of global positioning system (GPS) to measure frequencies of oscillations of engineering structures", J. Sound Vib., 318(3), 606-623. https://doi.org/10.1016/j.jsv.2008.04.036
  36. Pytharouli, S.I. and Stiros, S.C. (2008), "Spectral analysis of unevenly spaced or discontinuous data using the 'normperiod' code", Comput. Struct., 86(1-2), 190-196. https://doi.org/10.1016/j.compstruc.2007.02.022
  37. Roberts, G., Brown, C., Meng, X., Ogundipe, O., Atkins, C. and Colford, B. (2012), "Deflection and frequency monitoring of the Forth Road Bridge, Scotland, by GPS", Proceedings of the ICE - Bridge Engineering, 165(2), 105-123. https://doi.org/10.1680/bren.9.00022
  38. Roberts, G., Ding, X., Dodson, A. and Cosser, E. (2002), "Multipath mitigation for bridge deformation monitoring", J. Global Position. Syst., 1(1), 25-33. https://doi.org/10.5081/jgps.1.1.25
  39. Roberts, G., Meng, X. and Dodson, A. (2004), "Integrating a global positioning system and accelerometers to monitor the deflection of bridges", J. Surv. Eng.- ASCE, 130(2), 65-72. https://doi.org/10.1061/(ASCE)0733-9453(2004)130:2(65)
  40. Stiros, S, Psimoulis, P. and Kokkinou, E. (2008), "Errors introduced by fluctuations in the sampling rate of automatically recording instruments: experimental and theoretical approach", J. Surv. Eng.- ASCE, 134(3), 89-93. https://doi.org/10.1061/(ASCE)0733-9453(2008)134:3(89)
  41. Stiros, S.C. and Psimoulis, P.A. (2012), "Response of a historical short-span railway bridge to passing trains: 3-D deflections and dominant frequencies derived from Robotic Total Station (RTS) measurements", Eng. Struct., 45, 362-371. https://doi.org/10.1016/j.engstruct.2012.06.029
  42. Tamura, Y., Matsui, M., Pagnini, L.C., Ishibashi, R. and Yoshida, A. (2002), "Measurement of wind-induced response of buildings using RTK-GPS", J. Wind Eng. Ind. Aerod., 90(12-15), 1783-1793. https://doi.org/10.1016/S0167-6105(02)00287-8
  43. Watson, C., Watson, T. and Coleman, R. (2007), "Structural monitoring of cable-stayed bridge: analysis of GPS versus modeled deflections", J. Surv. Eng.- ASCE, 133(1), 23-28. https://doi.org/10.1061/(ASCE)0733-9453(2007)133:1(23)
  44. Wieser, A. and Brunner, F.K. (2002), "Analysis of bridge deformations using continuous GPS measurements", Proceedings of the INGEO2002, 2nd Conference of Engineering Surveying, (Eds., Kopacik, A. and Kyrinovic ,P.), Bratislava,, 45-52.
  45. Xia, H., Xu, Y.L. and Chan, T.H.T. (2000), "Dynamic interaction of long suspension bridges with running trains", J. Sound Vib., 237(2), 263-280. https://doi.org/10.1006/jsvi.2000.3027
  46. Xia, H. and Zhang, N. (2005), "Dynamic analysis of railway bridge under high-speed trains", Comput. Struct., 83(23-24), 1891-1901. https://doi.org/10.1016/j.compstruc.2005.02.014
  47. Xia, H., Zhang, N. and De Roeck, G. (2003), "Dynamic analysis of high speed railway bridge under articulated trains", Comput. Struct., 81(26-27), 2467-2478. https://doi.org/10.1016/S0045-7949(03)00309-2
  48. Yi, T., Li, H. and Gu, M. (2010a), "Full-scale measurements of dynamic response of suspension bridge subjected to environmental loads using GPS technology", Sci. China Technol., 53(2), 469-479. https://doi.org/10.1007/s11431-010-0051-2
  49. Yi, T., Li, H. and Gu, M. (2010b), "Recent research and applications of GPS based technology for bridge health monitoring", Sci. China Technol., 53(10), 2597-2610. https://doi.org/10.1007/s11431-010-4076-3
  50. Yi, T.H., Li, H.N. and Gu, M. (2011), "Characterization and extraction of global positioning system multipath signals using an improved particle-filtering algorithm", Meas. Sci. Technol., 22(7), 075101. https://doi.org/10.1088/0957-0233/22/7/075101
  51. Yi, T.H., Li, H.N. and Gu, M. (2012a), "Recent research and applications of GPS-based monitoring technology for high-rise structures", Struct. Health Monit.,DOI: 10.1002/stc.1501.
  52. Yi, T.H., Li, H.N. and Gu, M. (2012b), "Effect of different construction materials on propagation of GPS monitoring signals", Measurement, 45(5), 1126-1139. https://doi.org/10.1016/j.measurement.2012.01.027
  53. Yi, T.H., Li, H.N. and Gu, M. (2013), "Experimental assessment of high-rate GPS receivers for deformation monitoring of bridge", Measurement, 46(1), 420-432. https://doi.org/10.1016/j.measurement.2012.07.018
  54. Yigit, C.O., Li, X., Inal, C., Ge, L. and Yetkin, M. (2010), "Preliminary evaluation of precise inclination sensor and GPS for monitoring full-scale dynamic response of a tall reinforced concrete building", J. Geodesy, 4(2), 103-113.
  55. Zarikas, V., Gikas, V. and Kitsos, C.P. (2010), "Evaluation of the optimal design 'cosinor model' for enhancing the potential of robotic theodolite kinematic observations", Measurement, 43(10), 1416-1424. https://doi.org/10.1016/j.measurement.2010.08.006
  56. Zhang, N., Xia, H. and Guo, W. (2008), "Vehicle-bridge interaction analysis under high-speed trains", J. Sound Vib., 309(3-5), 407-425. https://doi.org/10.1016/j.jsv.2007.07.064
  57. Zheng, D.W., Zhong, P., Ding, X. L. and Chen, W. (2005), "Filtering GPS time-series using a Vondrak filter and cross-validation", J. Geodesy, 79(6-7), 363-369. https://doi.org/10.1007/s00190-005-0474-x

Cited by

  1. Bridge Performance Assessment Based on an Adaptive Neuro-Fuzzy Inference System with Wavelet Filter for the GPS Measurements vol.4, pp.4, 2015, https://doi.org/10.3390/ijgi4042339
  2. Measuring sub-mm structural displacements using QDaedalus: a digital clip-on measuring system developed for total stations vol.7, pp.2, 2015, https://doi.org/10.1007/s12518-014-0150-z
  3. Strong motion displacement waveforms using 10-Hz precise point positioning GPS: an assessment based on free oscillation experiments vol.43, pp.12, 2014, https://doi.org/10.1002/eqe.2426
  4. Investigating multi-GNSS performance in the UK and China based on a zero-baseline measurement approach vol.102, 2017, https://doi.org/10.1016/j.measurement.2017.02.004
  5. Real-Time Reference-Free Displacement of Railroad Bridges during Train-Crossing Events vol.22, pp.10, 2017, https://doi.org/10.1061/(ASCE)BE.1943-5592.0001113
  6. Using the signal-to-noise ratio of GPS records to detect motion of structures vol.25, pp.2, 2018, https://doi.org/10.1002/stc.2080
  7. Consistency of PPP GPS and strong-motion records: case study of Mw9.0 Tohoku-Oki 2011 earthquake vol.16, pp.2, 2015, https://doi.org/10.12989/sss.2015.16.2.347
  8. Long-span bridges: Enhanced data fusion of GPS displacement and deck accelerations vol.147, 2017, https://doi.org/10.1016/j.engstruct.2017.06.018
  9. Measurement of Long-Term Periodic and Dynamic Deflection of the Long-Span Railway Bridge Using Microwave Interferometry vol.8, pp.9, 2015, https://doi.org/10.1109/JSTARS.2015.2464240
  10. Reliable Dynamic Monitoring of Bridges with Integrated GPS and BeiDou vol.144, pp.4, 2018, https://doi.org/10.1061/(ASCE)SU.1943-5428.0000263
  11. Measuring Total Transverse Reference-Free Displacements for Condition Assessment of Timber Railroad Bridges: Experimental Validation vol.144, pp.6, 2018, https://doi.org/10.1061/(ASCE)ST.1943-541X.0002041
  12. Accurate Deformation Monitoring on Bridge Structures Using a Cost-Effective Sensing System Combined with a Camera and Accelerometers: Case Study vol.24, pp.1, 2019, https://doi.org/10.1061/(ASCE)BE.1943-5592.0001330
  13. Multi-sensor measurement of dynamic deflections and structural health monitoring of flexible and stiff bridges vol.15, pp.1, 2019, https://doi.org/10.3233/brs-190152
  14. Damage Detection and Analysis of Urban Bridges Using Terrestrial Laser Scanning (TLS), Ground-Based Microwave Interferometry, and Permanent Scatterer Interferometry Synthetic Aperture Radar (PS-InSAR) vol.11, pp.5, 2019, https://doi.org/10.3390/rs11050580
  15. Noncontact Dynamic Displacement Measurement of Structures Using a Moving Laser Doppler Vibrometer vol.24, pp.9, 2013, https://doi.org/10.1061/(asce)be.1943-5592.0001472
  16. Extended D-TomoSAR Displacement Monitoring for Nanjing (China) City Built Structure Using High-Resolution TerraSAR/TanDEM-X and Cosmo SkyMed SAR Data vol.11, pp.22, 2019, https://doi.org/10.3390/rs11222623
  17. Combining GPS and accelerometers' records to capture torsional response of cylindrical tower vol.25, pp.1, 2013, https://doi.org/10.12989/sss.2020.25.1.111
  18. Enhancement of signals from connected vehicles to detect roadway and railway anomalies vol.31, pp.3, 2013, https://doi.org/10.1088/1361-6501/ab5b54