Structural Engineering and Mechanics

  • 제49권3호
  • /
  • Pages.411-425
  • /
  • 2014
  • /
  • 1225-4568(pISSN)
  • /
  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Damage assessment of frame structure using quadratic time-frequency distributions

  • Chandra, Sabyasachi (Department of Civil Engineering, Dr. B.C. Roy Engineering College) ;
  • Barai, S.V. (Department of Civil Engineering, Indian Institute of Technology Kharagpur)
  • 투고 : 2011.09.13
  • 심사 : 2014.01.03
  • 발행 : 2014.02.10
⟨ 이전 논문 다음 논문 ⟩

초록

This paper presents the processing of nonlinear features associated with a damage event by quadratic time-frequency distributions for damage identification in a frame structure. A time-frequency distribution is a function which distributes the total energy of a signal at a particular time and frequency point. As the occurrence of damage often gives rise to non-stationary, nonlinear structural behavior, simultaneous representation of the dynamic response in the time-frequency plane offers valuable insight for damage detection. The applicability of the bilinear time-frequency distributions of the Cohen class is examined for the damage assessment of a frame structure from the simulated acceleration data. It is shown that the changes in instantaneous energy of the dynamic response could be a good damage indicator. Presence and location of damage can be identified using Choi-Williams distribution when damping is ignored. However, in the presence of damping the Page distribution is more effective and offers better readability for structural damage detection.

키워드

참고문헌

  1. Aktan, A.E., Catbas, F.N., Grimmelsman, K.A. and Tsikos, C.J. (2000), "Issues in infrastructure health monitoring for management", J. Eng. Mech., 126(7), 711-724. https://doi.org/10.1061/(ASCE)0733-9399(2000)126:7(711)
  2. Alvandi, A. and Cremona, C. (2006), "Assessment of vibration-based damage identification techniques", J. Sound Vib., 292(1-2), 179-202. https://doi.org/10.1016/j.jsv.2005.07.036
  3. ANSYS Inc. (2003), ANSYS 8.0 User's Manual, Canonsburg, PA 15317, USA.
  4. Auger, A., Flandrin, P., Gongcalves, P. and O. Lemonice, O. (2005). Time-Frequency Toolbox Reference Guide, CNRS, France and Rice University, USA.
  5. Bagheri, A., Amiri, G.G. and Sayed Razzaghi S.A. (2009), "Vibration-based damage identification of plate structures via curvelet transform", J. Sound Vib., 327, 593-603. https://doi.org/10.1016/j.jsv.2009.06.019
  6. Bonato, P., Ceravolo, R., De Stefano, A. and Knaflitz, M. (1997), "Bilinear time-frequency transformations in the analysis of damaged structures", Mech. Syst. Sig. Proc., 11(4), 509-527. https://doi.org/10.1006/mssp.1997.0094
  7. Carden, E.P. and Fanning, P. (2004), "Vibration based condition monitoring: a review", Struct. Hlth. Monit., 3(4), 0355-377. https://doi.org/10.1177/1475921704047500
  8. Catbas, F.N. and Aktan, A.E. (2002), "Condition and damage assessment: issues and some promising indices", J. Struct. Eng., 128(8), 1026-1036. https://doi.org/10.1061/(ASCE)0733-9445(2002)128:8(1026)
  9. Chang, P.C., Flatau, A. and Liu, S.C. (2003), "Review paper: health monitoring of civil infrastructure", Struct. Hlth.h Monit, 2(3), 0257-0267. https://doi.org/10.1177/1475921703036169
  10. Cohen, L. (1989), "Time-frequency distributions - a review", Proc. IEEE, 77(7), 941-981. https://doi.org/10.1109/5.30749
  11. Cohen, L. (1995), Time-Frequency Analysis, Prentice Hall, Englewood Cliffs.
  12. Doebling, S.W., Farrar, C.R. and Prime, M.B. (1998), "A summary review of vibration based damage identification methods", Shock Vib. Digest, 30(2), 91-105. https://doi.org/10.1177/058310249803000201
  13. Doebling, S.W., Farrar, C.R., Prime, M.B. and Shevitz, D.W. (1996), "Damage identification and health monitoring of structural and mechanical systems from changes in their vibration characteristics: a Literature Review", Report LA-13070-MS, Los Alamos National Laboratory.
  14. Fan, W. and Qiao, P. (2011), "Vibration-based damage identification methods: a review and comparative study", Struct. Hlth. Monit., 10(1), 83-111. https://doi.org/10.1177/1475921710365419
  15. Hammond, J.K. and White, P.R. (1996), "The analysis of non-stationary signals using time-frequency methods", J. Sound Vib., 190(3), 419-447. https://doi.org/10.1006/jsvi.1996.0072
  16. Ndambi, J.M., Vantomme, J. and Harri, K. (2002), "Damage assessment in reinforced concrete beams using eigenfrequencies and mode shape derivatives", Eng Struct., 24, 501-515. https://doi.org/10.1016/S0141-0296(01)00117-1
  17. Peng, Z.K., Chu, F.L. and Ye, Y. (2002), "Vibration signal analysis and feature extraction based on reassigned wavelet scalogram", J. Sound Vib., 253(20), 1087-1100. https://doi.org/10.1006/jsvi.2001.4085
  18. Priestley, M.B. (1967), "Power spectral analysis of non-stationary random processes", J. Sound Vib., 6(1), 86-97. https://doi.org/10.1016/0022-460X(67)90160-5
  19. Reda Taha, M.M., Noureldin, A., Lucero, J.L. and Baca, T.J. (2006), "Wavelet transform for structural health monitoring: a compendium of uses and features", Struct. Hlth. Monit., 5(3), 0267-295. https://doi.org/10.1177/1475921706067741
  20. Rucka, M. and Wlide, K. (2006), "Application of continuous wavelet transform in vibration based damage detection methods for beams and plates", J. Sound Vib., 297(6), 536-550. https://doi.org/10.1016/j.jsv.2006.04.015
  21. Sohn, H., Farrar, C.R., Hamez, F. M., Shunk, D.D., Stinemates, D.W. and Nadler, B.R. (2003), "A review of structural health monitoring literature: 1996-2001", Report LA-13976-MS, Los Alamos National Laboratory.
  22. Stasszewski, W.J. and Robertson, A.M. (2007), "Time-frequency and time-scale analyses for structural health monitoring", Phil. Trans. R. Soc. A, 365, 449-477. https://doi.org/10.1098/rsta.2006.1936
  23. Staszewski, W. J. (1998), "Structural and mechanical damage detection using wavelets", Shock Vib. Digest, 30(6), 457-472. https://doi.org/10.1177/058310249803000602
  24. Staszewski, W.J., Worden, K. and Tomlinson, G.R. (1997), "Time-frequency analysis in gearbox fault detection using Wigner-Ville distribution and pattern recognition", Mech. Syst. Sig. Proc., 11(5), 673-692. https://doi.org/10.1006/mssp.1997.0102
  25. The MathWorks Inc. (2004), MATLAB 7.0. Natick, Massachusetts.
  26. Van der Auweraer, H. and Peeters, B. (2003), "International research projects on structural health monitoring: an overview", Struct. Hlth. Monit., 2(4), 341-358. https://doi.org/10.1177/147592103039836
  27. Wang, W.J. and McFadden, P.D. (1993), "Early detection of gear failure by vibration analysis-I. Calculation of the time-frequency distribution", Mech. Syst. Sig. Proc., 7(3), 193-203. https://doi.org/10.1006/mssp.1993.1008
  28. Zhao, J. and DeWolf, J.T. (2007), "Modeling and damage detection for cracked I-shaped steel beams", Struct. Eng. Mech., 25(2), 131-146. https://doi.org/10.12989/sem.2007.25.2.131
  29. Zhou, Z., Wegner, L.D. and Sparling, B.F. (2007), "Vibration-based detection of small-scale damage on a bridge deck", J. Struct. Eng., 133(9), 1257-1267. https://doi.org/10.1061/(ASCE)0733-9445(2007)133:9(1257)