Application of Transform Fourier for Dynamic Control of Structures with Global Positioning System
Given the evolution of viaducts, structural health monitoring requires more complex techniques to define their state. two alternatives can be distinguished: experimental and operational modal analysis. Although accelerometers or Global Positioning System (GPS) have been applied for the monitoring of structures under exploitation, the dynamic monitoring during the stage of construction is not common. This research analyzes whether GPS data can be applied to certain dynamic geometric controls of evolving structures. The fundamentals of this work were applied to the New Bridge of Cádiz (Spain), a worldwide milestone in bridge building. GPS data were recorded with an interval of 1 second during the erection of segments and turned to the frequency domain with Fourier transform. The vibration period and amplitude were contrasted with those provided by the finite element model, with differences of less than 10%, which is admissible. This process provides a vibration record of the structure with GPS, avoiding specific equipment.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.3300398Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 442
 Yi, T., Li, H., and Gu, M. (2010). “Full-scale measurements of dynamic response of suspension bridge subjected to environmental loads using GPS technology.” Sci. China Technol. Sci., 53(2), 469–479. DOI: 10.1007/s11431-010-0051-2
 Qian, B.G., Jiang, G.G., and Peng, J.G. (2011). “Monitoring the bridge's health status by GPS and surveying robot.” Commun. Comput. Inf. Sci., 86, 192–198.
 Ogundipe, O., Roberts, G.W., and Brown, C.J. (2014). “GPS monitoring of a steel box girder viaduct.” Struct. Infrastruct. Eng., 10(1), 25–40. DOI: 10.1080/15732479.2012.692387
 Wu, L., and Casciati, F. (2014). “Local positioning systems versus structural monitoring: A review.” Struct Control Health Monitor, 21(9), 1209–1221. DOI: 10.1002/stc.1643
 Roberts, G.W., Brown, C.J., Meng, X., Ogundipe, O., Atkins, C., and Colford, B. (2012). “Deflection and frequency monitoring of the Forth Road Bridge, Scotland, by GPS.” Proc. Inst. Civ. Eng: Bridge Eng., 165(2), 105–123. DOI: 10.1680/bren.9.00022
 Van Le, H., and Nishio, M. (2015). “Time-series analysis of GPS monitoring data from a long-span bridge considering the global deformation due to air temperature changes.” J Civ. Struct Health Monitor, 5(4), 415–425. DOI: 10.1007/s13349-015-0124-9
 Pereira, M., Teodoro, A.C., Veloso-Gomes, F., Lima, J., and Oliveira, S. (2015). “Port Infrastructure Control (Madeira Island, Portugal) through a Hybrid Monitoring System (GNSS and Accelerometers).” Mar. Georesources Geotechnol., 34(7), 617–629. DOI: 10.1080/1064119X.2015.1054009
 Yigit, C.O. (2016). “Experimental assessment of post-processed kinematic Precise Point Positioning method for structural health monitoring.” Geomat. Nat. Hazards Risk, 7(1), 360–383. DOI: 10.1080/19475705.2014.917724
 Lepadatu, A., Tiberius, C. (2014). “GPS for structural health monitoring - Case study on the Basarab overpass cable-stayed bridge”. J. Appl. Geod., 8(1), 65–85. DOI: 10.1515/jag-2013-0020
 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. DOI: 10.1016/j.engstruct.2010.09.013
 Yu, J., Meng, X., Shao, X., Yan, B., and Yang, L. (2014). “Identification of dynamic displacements and modal frequencies of a medium-span suspension bridge using multimode GNSS processing.” Eng. Struct., 81, 432–443. DOI: 10.1016/j.engstruct.2014.10.010
 Xi, R., Jiang, W., Meng, X., Chen, H.; and Chen, Q. (2018). “Bridge monitoring using BDS-RTK and GPS-RTK techniques.” Meas., 120, 128–139. DOI: 10.1016/j.measurement.2018.02.001
 Niu, Y., and Xiong, C. (2018). “Analysis of the dynamic characteristics of a suspension bridge based on RTK-GNSS measurement combining EEMD and a wavelet packet technique”. Meas. Sci. Technol., 29:085103, 1–13. DOI: 10.1088/1361-6501/aacb47
 Miao, C.Q., Wang, M., Tian, H.J., Feng, Z.X., Chen, C. (2015). “Damage alarming of long-span suspension bridge based on GPS-RTK monitoring.” J. Central South. Univ. 2015, 22(7), 2800–2808. DOI: 10.1007/s11771-015-2811-4
 Elnabwy, M.T., Kaloop, M.R., and Elbeltagi, E. (2013). “Talkha steel highway bridge monitoring and movement identification using RTK-GPS technique.” Meas: J Int Meas Confed., 46(10), 4282–4292. DOI: 10.1016/j.measurement.2013.08.014
 Jo, H., Sim, S.H, Tatkowski, A., Spencer, B.F., and Nelson, M.E. (2013). “Feasibility of displacement monitoring using low-cost GPS receivers.” Struct Control Health Monitor, 20(9), 1240–1254. DOI: 10.1002/stc.1532
 Psimoulis P.A., and Stiros, S.C. (2012). “A supervised learning computer-based algorithm to derive the amplitude of oscillations of structures using noisy GPS and Robotic Theodolites (RTS) records.” Compu. Struct., 92–93, 337–348. DOI: 10.1016/j.compstruc.2011.10.019
 Dai, W.J., Wu, X.X., and Luo, F.X. (2011). “Integration of GPS and accelerometer for high building vibration monitoring.” J. Vib. Shock., 30(7), 223–226.
 Im, S., Hurlebaus, S., Kang, Y.J. (2013). “Summary review of GPS technology for structural health monitoring.” J. Struct. Eng., 10.1061/(ASCE)ST.1943-541X.0000475, 1653–1664. DOI: 10.1061/(ASCE)ST.1943-541X.0000475
 Moschas, F., and Stiros, S. (2015). “Dynamic deflections of a stiff footbridge using 100-Hz GNSS and accelerometer data”. J. Surv. Eng. DOI: 10.1061/(ASCE)SU.1943-5428.0000146 141(4):04015003–1–8.
 Xi, X., Zhao, J., Long, H., Yang, G., Sun, J., and Yang, W. (2016). “Fractional Fourier transform-based unassisted tracking method for Global Navigation Satellite System signal carrier with high dynamics.” IET Radar Sonar Navig., 10(3), 506–515. DOI: 10.1049/iet-rsn.2015.0219
 James FJ. (2011). A Student’s Guide to Fourier transform, 3rd ed., Cambridge, Cambridge University Press; Cambridge, UK.