Smart Structures and Systems

  • 제30권1호
  • /
  • Pages.107-119
  • /
  • 2022
  • /
  • 1738-1584(pISSN)
  • /
  • 1738-1991(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Modal identification of time-varying vehicle-bridge system using a single sensor

  • Li, Yilin (Department of Civil Engineering, Hefei University of Technology) ;
  • He, Wen-Yu (Department of Civil Engineering, Hefei University of Technology) ;
  • Ren, Wei-Xin (College of Civil and Transportation Engineering, Shenzhen University) ;
  • Chen, Zhiwei (Department of Civil Engineering, Xiamen University) ;
  • Li, Junfei (Department of Civil Engineering, Hefei University of Technology)
  • 투고 : 2021.11.16
  • 심사 : 2022.04.11
  • 발행 : 2022.07.25
⟨ 이전 논문 다음 논문 ⟩

초록

Modal parameters are widely used in bridge damage detection, finite element model (FEM) updating and design optimization. However, the conventional modal identification approaches require large number of sensors, enormous data processing workload, but normally result in mode shapes with low accuracy. This paper proposes a modal identification method of time-varying vehicle-bridge system using a single sensor. Firstly, the essential physical relationship between the instantaneous frequency of the vehicle-bridge system and the bridge mode shapes are derived. Subsequently, based on the synchroextracting transform, the instantaneous frequency of the system is tracked through the dynamic response collected by a single sensor, and further the modal parameters are estimated by using the derived physical relationship. Then numerical and experimental examples are conducted to examine the feasibility and effectiveness of the proposed method. Finally, the modal parameters identified by the proposed method are applied in bridge FEM updating. The results manifest that the proposed method identifies the modal parameters with high accuracy via a single sensor, and can provide reliable data for the FEM updating.

키워드

과제정보

The paper is supported by the National Natural Science Foundation of China (No. 51878234, 51778550 and 51778204), Natural Science Fund for Distinguished Young Scholars of Anhui Province (2208085J20), Fundamental Research Funds for the Central Universities (No. JZ2019HGPA0101), Shenzhen Science and Technology Program (No. KQTD2018041218133749 4), Scientific Research Fund of Hunan Provincial Education Department (Project No. 19B106), Natural Science Foundation of Hunan Province Province (No. 2021JJ50145).

참고문헌

  1. Alpaslan, E. and Karaca, Z. (2021), "Response surface-based model updating to detect damage on reduced-scale masonry arch bridge", Struct. Eng. Mech., Int. J., 79(1), 9-22. https://doi.org/10.12989/sem.2021.79.1.009
  2. Babakhani, B., Rahami, H. and Mohammadi, R.K. (2018), "Mode shape identification using response spectrum in experimental modal analysis", Struct. Monit. Maint., Int. J., 5(3), 345-361. https://doi.org/10.12989/smm.2018.5.3.345
  3. Boashash, B. and Aissa-El-Bey, A. (2018), "Robust multisensor time-frequency signal processing: A tutorial review with illustrations of performance enhancement in selected application areas", Digit Signal Process, 77, 153-186. https://doi.org/10.1016/j.dsp.2017.11.017
  4. Chang, M., Kim, J.K. and Lee, J. (2019), "Hierarchical neural network for damage detection using modal parameters", Struct. Eng. Mech., Int. J., 70(4), 457-466. https://doi.org/10.12989/sem.2019.70.4.457
  5. Fang, S.E. and Perera, R. (2009), "Power mode shapes for early damage detection in linear structures", J. Sound Vib., 324(1-2), 40-56. https://doi.org/10.1016/j.jsv.2009.02.002
  6. Friswell, M. and Mottershead, J.E. (2013), Finite Element Model Updating in Structural Dynamics, Springer Science & Business Media, London, UK.
  7. Fryba, L. (1996), Dynamics of Railway Bridges, Thomas Telford Publishing, London, UK.
  8. Gill, P.E., Muttay, W. and Saunders, M.A. (2005), "SNOPT: An SQP algorithm for large-scale constrained optimization", SIAM Rev. Soc. Ind. Appl. Math., 47(1), 99-131. https://doi.org/10.1137/S1052623499350013
  9. Gonzalez, A., Obrien, E.J. and McGetrick, P.J. (2012), "Identification of damping in a bridge using a moving instrumented vehicle", J. Sound Vib., 331(18), 4115-4131. https://doi.org/10.1016/j.jsv.2012.04.019
  10. Gres, S., Dohler, M. and Mevel, L. (2021), "Uncertainty quantification of the Modal Assurance Criterion in operational modal analysis", Mech. Syst. Signal Process., 152, 107457. https://doi.org/10.1016/j.ymssp.2020.107457
  11. He, W.Y., Ren, W.X. and Zuo, X.H. (2018), "Mass-normalized mode shape identification method for bridge structures using parking vehicle-induced frequency change", Struct. Control Health Monitor., 25(6), e2174. https://doi.org/10.1002/stc.2174
  12. Ho, L.V., Khatir, S., Roeck, G.D. and Bui-Tien, T. (2020), "Finite element model updating of a cable-stayed bridge using metaheuristic algorithms combined with Morris method for sensitivity analysis", Smart Struct. Syst., Int. J., 26(4), 451-468. https://doi.org/10.12989/sss.2020.26.4.451
  13. Kim, C.W. and Kawatani, M. (2008), "Pseudo-static approach for damage identification of bridges based on coupling vibration with a moving vehicle", Struct. Infrastruct. Eng., 4(5), 371-379. https://doi.org/10.1080/15732470701270082
  14. Kim, C.Y., Jung, D.S., Kim, N.S., Kwon, S.D. and Feng, M.Q. (2003), "Effect of vehicle weight on natural frequencies of bridges measured from traffic-induced vibration", Earthq. Eng. Eng. Vib., 2(1), 109-115. https://doi.org/10.1007/bf02857543
  15. Kong, X., Cai, C.S. and Kong, B. (2016), "Numerically extracting bridge modal properties from dynamic responses of moving vehicles", J. Eng. Mech., 142(6), 04016025. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001033
  16. Li, J.T., Zhu, X.Q., Law, S.S. and Samali, B. (2020), "Time-varying characteristics of bridges under the passage of vehicles using synchroextracting transform", Mech. Syst. Signal Process., 140, 106727. https://doi.org/10.1016/j.ymssp.2020.106727
  17. Magrab, E.B. (2012), Vibrations of Elastic Systems: With Applications to MEMS And NEMS, Springer Science & Business Media, London, UK.
  18. Mahato, S., Hazra, B. and Chakraborty, A. (2020), "Multi-variate empirical mode decomposition (memd) for ambient modal identification of rc road bridge", Struct. Monitor. Maint., Int. J., 7(4), 283-294. https://doi.org/10.12989/smm.2020.7.4.283
  19. Meignen, S., Oberlin, T., Depalle, P., Flandrin, P. and McLaughlin, S. (2016), "Adaptive multimode signal reconstruction from time-frequency representations", Philos. Trans. A Math. Phys. Eng. Sci., 374(2065), 20150205. https://doi.org/10.1098/rsta.2015.0205
  20. Ni, Y.Q., Xia, Y., Lin, W., Chen, W.H. and Ko, J.M. (2012), "SHM benchmark for high-rise structures: a reduced-order finite element model and field measurement data", Smart Struct. Syst., Int. J., 10(4-5), 411-426. https://doi.org/10.12989/sss.2012.10.4_5.411
  21. Ni, P.H., Li, J., Hao, H., Xia, Y., Wang, X.Y., Lee, J.M., Jung, K.H. (2018), "Time-varying System Identification using Variational Mode Decomposition", Struct. Control Health Monitor., 25(6), e2175. https://doi.org/10.1002/stc.2175
  22. Oberlin, T., Meignen, S. and Perrier, V. (2015), "Second-order synchrosqueezing transform or invertible reassignment? Towards ideal time-frequency representations", IEEE Trans. Signal Process., 63(5), 1335-1344. https://doi.org/10.1109/TSP.2015.2391077
  23. Obrien, E.J. and Malekjafarian, A. (2016), "A mode shape-based damage detection approach using laser measurement from a vehicle crossing a simply supported bridge", Struct. Control Health Monitor., 23(10), 1273-1286. https://doi.org/10.1002/stc.1841
  24. Razavi, M. and Hadidi, A. (2020), "Assessment of sensitivity-based FE model updating technique for damage detection in large space structures", Struct. Monitor. Maint., Int. J., 7(3), 261-281. https://doi.org/10.12989/smm.2020.7.3.261
  25. Ribeiroa, D., Calcadab, R., Delgadob, R., Brehmc, M. and Zabeld, V. (2012), "Finite element model updating of a bowstring-arch railway bridge based on experimental modal parameters", Eng. Struct., 40, 413-435. https://doi.org/10.1016/j.engstruct.2012.03.013
  26. Tran, N.H., Khatir, S., De Roeck, G., Long, N.N., Thanh, B.T. and Wahab, M.A. (2020), "An efficient approach for model updating of a large-scale cable-stayed bridge using ambient vibration measurements combined with a hybrid metaheuristic search algorithm", Smart Struct. Syst., Int. J., 25(4), 487-499. https://doi.org/10.12989/sss.2020.25.4.487
  27. Xin, Y., Hao, H. and Li, J. (2019), "Time-varying system identification by enhanced Empirical Wavelet Transform based on Synchroextracting Transform", Eng. Struct., 196, 109313. https://doi.org/10.1016/j.engstruct.2019.109313
  28. Yang, Y.B. and Lin, C.W. (2005), "Vehicle-bridge interaction dynamics and potential applications", J. Sound Vib., 284(1-2), 205-226. https://doi.org/10.1016/j.jsv.2004.06.032.
  29. Yang, Y.B., Lin, C.W. and Yau, J.D. (2004), "Extracting bridge frequencies from the dynamic response of a passing vehicle", J. Sound Vib., 272(3-5), 471-493. https://doi.org/10.1016/S0022-460X(03)00378-X
  30. Yang, Y.B., Li, Y.C. and Chang, K.C. (2012), "Effect of road surface roughness on the response of a moving vehicle for identification of bridge frequencies", Inter. Mult. Mech., 5(4), 347-368. https://doi.org/10.12989/imm.2012.5.4.347
  31. Yang, Y.B., Cheng, M.C. and Chang, K.C. (2013), "Frequency variation in vehicle-bridge interaction systems", Int. J. Struct. Stab. Dyn., 13(2), 1350019. https://doi.org/10.1142/S0219455413500193
  32. Yang, Y.B., Zhang, B., Wang, T.Y., Xu, H. and Wu, Y.T. (2019), "Two-axle test vehicle for bridges: theory and applications", Int. J. Mech. Sci., 152, 51-62. https://doi.org/10.1016/j.ijmecsci.2018.12.043
  33. Yu G., Yu, M.J. and Xu, C.Y. (2017), "Synchroextracting transform", IEEE Trans. Ind. Electron., 64(10), 8042-8054. https://doi.org/10.1109/TIE.2017.2696503
  34. Yuan, P.P., Cheng, X.L., Wang, H.H., Zhang, J., Shen, Z.X. and Ren, W.X. (2021), "Structural instantaneous frequency extraction based on improved multi-synchrosqueezing generalized S-transform", Smart Struct. Syst., Int. J., 28(5), 675-687. https://doi.org/10.12989/sss.2021.28.5.675
  35. Zhang, Y., Zhao, H.S. and Lie, S.T. (2019), "Estimation of mode shapes of beam-like structures by a moving lumped mass", Eng. Struct., 180, 654-668. https://doi.org/10.1016/j.engstruct.2018.11.074
  36. Zhang, J., Yang, D., Ren, W.X. and Yuan, Y. (2021), "Time-varying characteristics analysis of vehicle-bridge interaction system based on modified S-transform reassignment technique", Mech. Syst. Signal Process., 160, 107807. https://doi.org/10.1016/j.ymssp.2021.107807
  37. Zhang, Y.M., Wang, H, Bai, Y., Mao, J.X. and Xu, Y.C. (2022), "Bayesian dynamic regression for reconstructing missing data in structural health monitoring", Struct. Health Monitor., 14759217211053779. https://doi.org/10.1177/14759217211053779