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Simultaneous identification of moving loads and structural damage by adjoint variable

  • Abbasnia, Reza (Department of Civil Engineering, Iran University of Science and Technology) ;
  • Mirzaee, Akbar (Department of Civil Engineering, Iran University of Science and Technology) ;
  • Shayanfar, Mohsenali (Department of Civil Engineering, Iran University of Science and Technology)
  • Received : 2014.04.15
  • Accepted : 2015.11.17
  • Published : 2015.12.10

Abstract

This paper presents a novel method based on sensitivity of structural response for identifying both the system parameters and input excitation force of a bridge. This method, referred to as "Adjoint Variable Method", is a sensitivity-based finite element model updating method. The computational cost of sensitivity analyses is the main concern associated with damage detection by these methods. The main advantage of proposed method is inclusion of an analytical method to augment the accuracy and speed of the solution. The reliable performance of the method to precisely indentify the location and intensity of all types of predetermined single, multiple and random damages over the whole domain of moving vehicle speed is shown. A comparison study is also carried out to demonstrate the relative effectiveness and upgraded performance of the proposed method in comparison to the similar ordinary sensitivity analysis methods. Moreover, various sources of error including the effects of noise and primary errors on the numerical stability of the proposed method are discussed.

Keywords

References

  1. Alampalli, S. and Fu, G. (1994), "Remote monitoring systems for bridge condition", Transportation Research and Development Bureau, New York State Department of Transportation, Client Report 94.
  2. Cawley, P. and Adams, R.D. (1979), "The location of defects in structures from measurements of natural frequencies", J. Strain Anal., 14, 49-57. https://doi.org/10.1243/03093247V142049
  3. Chan, T., Law, S., Yung, T. and Yuan, X. (1999), "An interpretive method for moving force identification", J Sound Vib., 219, 503-524. https://doi.org/10.1006/jsvi.1998.1904
  4. Chan, T., Yu, L., Law, S. and Yung, T. (2001), "Moving force identification studies. II: comparative studies", J Sound Vib., 247(1), 77-95. https://doi.org/10.1006/jsvi.2001.3629
  5. Choi, K.K. and Kim, N.H. (2005), Structural Sensitivity Analysis and Optimization 1, Linear Systems, Springer, USA.
  6. Doebling, S.W., Peterson, L.D. and Alvin, K.F. (1996), "Estimation of reciprocal residual flexibility from experimental modal data", Am. Inst. Aeronaut. Astronaut. J., 34, 1678-1685. https://doi.org/10.2514/3.13289
  7. Doebling, S.W., Farrar, C.R., Prime, M.B. and Shevitz, D.W. (1998), "A review of damage identification methods that examine changes in dynamic properties", Shock Vib. Dig., 30, 91-105. https://doi.org/10.1177/058310249803000201
  8. Friswell, M.I., Penny, J.E.T. and Wilson, D.A.L. (1994), "Using vibration data and statistical measures to locate damage in structures, modal analysis", Int. J. Anal. Exper. Modal Anal., 9, 239-254.
  9. Friswell, M.I. and Mottershead, J.E. (1995), Finite Element Model Updating in Structural Dynamics, Kluwer Academic Publishers, Dordrecht.
  10. Gonzalez, A., Rowley, C. and Obrien, E. (2008), "A general solution to the identification of moving vehicle forces on a bridge", Int. J. Numer. Meth. Eng., 75(3), 335-354. https://doi.org/10.1002/nme.2262
  11. Hoshiya, M. and Maruyama, O. (1987), "Identification of running load and beam system", J. Eng. Mech., ASCE, 113(6), 813-824. https://doi.org/10.1061/(ASCE)0733-9399(1987)113:6(813)
  12. Jiang, R.J., Au, F.T. and Cheung, Y.K. (2004), "Identification of vehicles moving on continuous bridges with rough surface", J. Sound Vib., 274, 1045-1063. https://doi.org/10.1016/S0022-460X(03)00664-3
  13. Law, S., Chan, T. and Zeng, Q. (1999), "Moving force identification-a frequency and time domain analysis", J. Dyn. Syst. Meas. Control., 121(3), 394-401. https://doi.org/10.1115/1.2802487
  14. Law, S. and Fang, Y. (2001), "Moving force identification: optimal state estimation approach", J. Sound Vib., 239(2), 233-254. https://doi.org/10.1006/jsvi.2000.3118
  15. Law, S., Wu, S. and Shi, Z. (2008), "Moving load and prestress identification using wavelet-based method", J. Appl. Mech., 75(2), 021,014. https://doi.org/10.1115/1.2793134
  16. Li, J. and Chen, J. (1999), "A statistical average algorithm for the dynamic compound inverse problem", Comput. Mech., 30(2), 88-95. https://doi.org/10.1007/s00466-002-0369-0
  17. Lim, T.W. (1991), "Structural damage detection using modal test data", Am. Inst. Aeronaut. Astronaut. J., 29, 2271-2274. https://doi.org/10.2514/3.10873
  18. Lu, Z.R. and Law, S.S. (2007), "Identification of system parameters and input force from output only", Mech. Syst. Signal Pr., 21, 2099-2111. https://doi.org/10.1016/j.ymssp.2006.11.004
  19. Majumder, L. and Manohar, C. (2003), "A time-domain approach for damage detection in beam structures using vibration data with a moving oscillator as an excitation source", J. Sound Vib., 268(4), 699-716. https://doi.org/10.1016/S0022-460X(02)01555-9
  20. Majumder, L. and Manohar, C. (2004), "Nonlinear reduced models for beam damage detection using data on moving oscillatorbeam interactions", Comput. Struct., 82(2-3), 301-314. https://doi.org/10.1016/j.compstruc.2003.08.007
  21. Mosavi, A. (2010), "Vibration-based damage detection and health monitoring of bridges", PhD Thesis, Faculty of North Carolina State University, Raleigh, North Carolina, USA.
  22. Narkis, Y. (1994), "Identification of crack location in vibrating simply supported beam", J. Sound Vib., 172, 549-558. https://doi.org/10.1006/jsvi.1994.1195
  23. Pandey, A.K., Biswas, M. and Samman, M.M. (1991), "Damage detection from change in curvature mode shapes", J. Sound Vib., 145, 321-332. https://doi.org/10.1016/0022-460X(91)90595-B
  24. Pandey, A.K. and Biswas, M. (1994), "Damage detection in structures using change in flexibility", J. Sound Vib., 169, 3-17. https://doi.org/10.1006/jsvi.1994.1002
  25. Ratcliffe, C.P. (1997), "Damage detection using a modified Laplacian operator on mode shape data", J. Sound Vib., 204, 505-517. https://doi.org/10.1006/jsvi.1997.0961
  26. Ricles, J.M. and Kosmatka, J.B. (1992), "Damage detection in elastic structures using vibration residual forces and weighted sensitivity", Am. Inst. Aeronaut. Astronaut. J., 30, 2310-2316. https://doi.org/10.2514/3.11219
  27. Rizos, P.F., Aspragathos, N. and Dimarogonas, A.D. (1990), "Identification of crack location and magnitude in a cantilever beam", J. Sound Vib., 138, 381-388. https://doi.org/10.1016/0022-460X(90)90593-O
  28. Sieniawska, R., Sniady, P. and Zukowski, S. (2009), "Identification of the structure parameters applying a moving load", J. Sound Vib., 319(1-2), 355-365. https://doi.org/10.1016/j.jsv.2008.05.032
  29. Silva, S., Dias, J.M. and Lopes, J.V. (2008), "Structural health monitoring in smart structures through time series analysis", Struct. Health Monit., 7(3), 231-244. https://doi.org/10.1177/1475921708090561
  30. Solis, M., Algaba, M. and Galvin, P. (2013), "Continuous wavelet analysis of mode shapes differences for damage detection", J. Mech. Syst. Signal Pr., 40, 645-666. https://doi.org/10.1016/j.ymssp.2013.06.006
  31. Srinivasan, G., Massimo, R. and Sathyaneryona, H. (2011), Computational Techniques for Structural Health Monitoring, Springer, Newyork.
  32. Staszewski, W.J. (2003), "Structural health monitoring using guided ultrasonic waves", Eds. Holnicki-Szulc, J. and Soares, C.A.M., Advances in smart technologies in structural engineering, Springer, Berlin.
  33. Wu, D. and Law, S.S. (2004), "Model error correction from truncated modal flexibility sensitivity and generic parameters. I: Simulation", Mech. Syst. Signal Pr., 18(6), 1381-1399. https://doi.org/10.1016/S0888-3270(03)00094-3
  34. Yu, L. and Chan, T. (2003), "Moving force identification based on the frequency-time domain method", J. Sound Vib., 261(2), 329-349. https://doi.org/10.1016/S0022-460X(02)00991-4
  35. Yu, L. and Chan, T. (2007), "Recent research on identification of moving loads on bridges", J. Sound Vib., 305, 3-21. https://doi.org/10.1016/j.jsv.2007.03.057
  36. Zhang, K., Law, S. and Duan, Z. (2009), "Condition assessment of structures under unknown support excitation", Earthq. Eng. Eng. Vib., 8(1), 103-114. https://doi.org/10.1007/s11803-009-9003-x
  37. Zhang, Q., Jankowski, L. and Duan, Z. (2010), "Simultaneous identification of moving masses and structural damage", Struct. Multidisc. Optim., 42, 907-922. https://doi.org/10.1007/s00158-010-0528-4
  38. Zhang, Q., Jankowski, L. and Duan, Z. (2010), "Identification of coexistent load and damage", Struct. Multidisc. Optim., 41(2), 243-253. https://doi.org/10.1007/s00158-009-0421-1
  39. Zhu, X. and Law, S. (2006), "Moving load identification on multispan continuous bridges with elastic bearings", Mech. Syst. Signal Pr., 20(7), 1759-1782. https://doi.org/10.1016/j.ymssp.2005.06.004
  40. Zhu, X. and Law, S. (2007), "Damage detection in simply supported concrete bridge structure under moving vehicular loads", J. Vib. Acoust., 129(1), 58-65. https://doi.org/10.1115/1.2202150
  41. Zhu, X.Q. and Hao, H. (2007), "Damage detection of bridge beam structures under moving loads", Research Program Report, School of Civil and Resource Engineering, the University of Western Australia.
  42. Zou, T., Tong, L. and Steve, G. (2000), "Vibration based model-dependent damage (delamination) identification and health monitoring for composite structures-a review", J. Sound Vib., 230(2), 357-378. https://doi.org/10.1006/jsvi.1999.2624

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