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Damage detection of multi-storeyed shear structure using sparse and noisy modal data

  • Panigrahi, S.K. (CSIR-Central Building Research Institute) ;
  • Chakraverty, S. (Department of Applied Mathematics, NIT) ;
  • Bhattacharyya, S.K. (CSIR-Central Building Research Institute)
  • Received : 2013.06.28
  • Accepted : 2014.02.16
  • Published : 2015.05.25

Abstract

In the present paper, a method for identifying damage in a multi storeyed shear building structure is presented using minimum number of modal parameters of the structure. A damage at any level of the structure may lead to a major failure if the damage is not attended at appropriate time. Hence an early detection of damage is essential. The proposed identification methodology requires experimentally determined sparse modal data of any particular mode as input to detect the location and extent of damage in the structure. Here, the first natural frequency and corresponding partial mode shape values are used as input to the model and results are compared by changing the sensor placement locations at different floors to conclude the best location of sensors for accurate damage identification. Initially experimental data are simulated numerically by solving eigen value problem of the damaged structure with inclusion of random noise on the vibration characteristics. Reliability of the procedure has been demonstrated through a few examples of multi storeyed shear structure with different damage scenarios and various noise levels. Validation of the methodology has also been done using dynamic data obtained through experiment conducted on a laboratory scale steel structure.

Keywords

References

  1. Bandyopadhyay, D. and Bhattacharyya, S.K. (2007), "Statistical health monitoring of structures using noisy dynamic responses", ICTACEM 2007, Dec 27-29, IIT Kharagpur, India.
  2. Bhat, R.B. and Chakraverty, S. (2007), Numerical Analysis in Engineering, Revised 2nd Ed., Narosa Pub. House, New Delhi.
  3. Carden, E.P. and Fanning, P. (2004), "Vibration based condition monitoring: a review structural health monitoring", SAGE Publications, 3(4), 355-377. https://doi.org/10.1177/1475921704047500
  4. Casciati, S. (2008), "Stiffness identification and damage localization via differential evolution algorithms", Struct. Control Health Monit., 15(3), 436-449. https://doi.org/10.1002/stc.236
  5. Cawley, P., Adams, R.D. (1979), "The location of defects in structures from measurement of natural frequencies", J. Strain.Anal., 14(2), 49-47. https://doi.org/10.1243/03093247V142049
  6. Chakraverty, S. (2005), "Identification of structural parameters of multistory shear buildings from modal data", Earthq. Eng. Struct. D., 34, 543-554. https://doi.org/10.1002/eqe.431
  7. Chatterjee, P.K., Datta, T.K. and Surana C.S. (1994), "Vibration of continuous bridges under moving vehicles", J. Sound Vib., 169(5), 619-632. https://doi.org/10.1006/jsvi.1994.1037
  8. Darpe A.K, Gupta K. and Chawla A. (2004), "Coupled bending, longitudinal and torsional vibrations of a cracked rotor", J. Sound Vib., 269(1-2), 33-60. https://doi.org/10.1016/S0022-460X(03)00003-8
  9. Datta, A.K., Shrikhande, M. and Paul, D.K. (1998), "System identification of buildings - a review", Proceedings of the 11th Symp. on Earthquake Engineering, Univ. of Roorkee, Roorkee.
  10. Doebling, S.W., Farrar, C.R. and Prime, M.B. (1998), "A summary review of vibration-based damage identification methods", Shock Vib. Digest, 91-105.
  11. Dulieu-Barton, J.M., Brennan, M.J., Holford, K.M. and Worden, K. (2003), "Damage assessment of structures", Proceedings of the DAMAS (5th International Conference on Damage Assessment of Structures, Trans Tech Publications.
  12. Fan, W. and Qiao, P. (2011), "Vibration-based damage identification methods: a review and comparative study", Struct. Health Monit., 10, 83-111. https://doi.org/10.1177/1475921710365419
  13. Friswell, M.I. and Mottershead J.E. (1995), Finite element model updating in structural dynamics, Kluwer Academic Publishers Group, Norwell.
  14. Gupta, K. (2006), "Rotor crack detection strategies- a review", Ad. Vib. Eng., 5(4), 289-306.
  15. Harker, R.J. (1983), Generalized Methods of Vibration Analysis, Wiley Interscience Pub.
  16. Humar, J., Bagchi, A. and Xu, H. (2006), "Performance of vibration-based techniques for the identification of structural damage', Struct. Health Monit., 5(3), 215-241. https://doi.org/10.1177/1475921706067738
  17. Kourehli, S.S., Bagheri, A., Amiri, G.G. and Mohsen G.A. (2013), "Structural damage detection using incomplete modal data and incomplete static response", KSCE J. Civil Eng., 17(1), 216-223. https://doi.org/10.1007/s12205-012-1864-2
  18. Li, G.Q., Hao, K.C., Lu, Y. and Chen, S.W. (1999), "A flexibility approach for damage identification of cantilever-type structures with bending and shear deformation", Comput. Struct., 73(6), 565-572. https://doi.org/10.1016/S0045-7949(98)00295-8
  19. Loh, C.H. and Ton, I.C. (1995), "A system identification approach to the detection of changes in both linear and non-linear structural parameters", Earthq. Eng. Struct. D., 24(1), 85-97. https://doi.org/10.1002/eqe.4290240107
  20. Medhi, M., Dutta, A. and Deb, S.K. (2008), "Health monitoring of multistoreyed shear building using parametric state space modelling", Smart Struct. Syst., 4(1), 47-66. https://doi.org/10.12989/sss.2008.4.1.047
  21. Meruane, V. and Heylen, W. (2011), "An hybrid real genetic algorithm to detect structural damage using modal properties", Mech. Syst. Signal Pr., 25(5), 1559-1573. https://doi.org/10.1016/j.ymssp.2010.11.020
  22. Morita, K., Teshigawara, M., Isoda, H., Hamamoto, T. and Mita, A. (2001), "Damage detection tests of five-story steel frame with simulated damages", Advanced Nondestructive Evaluation for Structural and Biological Health Monitoring, Tribikram Kundu, 106 Editor, Proceedings of SPIE Vol. 4335.
  23. Na, C., Kim, S.P. and Kwak, H.G. (2011), "Structural damage evaluation using genetic algorithm", J. Sound Vib., 330(12), 2772-2783. https://doi.org/10.1016/j.jsv.2011.01.007
  24. Panigrahi, S.K., Chakraverty, S. and Mishra, B.K. (2009), "Vibration based damage detection in a uniform strength beam using genetic algorithm", Meccanica, 44(6), 697-710. https://doi.org/10.1007/s11012-009-9207-1
  25. Panigrahi, S.K., Chakraverty, S. and Mishra, B.K. (2013), "Damage identification of multistory shear structure from sparse modal information", ASCE J. Comput. Civ. Eng., 27(1), 1-9. https://doi.org/10.1061/(ASCE)CP.1943-5487.0000189
  26. Ricles J.M. and Kosmatka J.B. (1992), "Damage detection in elastic structures using vibratory residual forces and weighted sensitivity", AIAA J., 30(9), 2310-2316. https://doi.org/10.2514/3.11219
  27. Santos, J.V. Araujo, D., Soares. C.M., Mota, Soares, C.A.M. and Pina, H.L.G. (2000), "Development of a numerical model for the damage identification on composite plate structure", Compos. Struct., 48(1-3), 59-65. https://doi.org/10.1016/S0263-8223(99)00073-2
  28. Stubbs, N. and Osegueda, R. (1990), "Global damage detection in solids: experimental verification", Int. J. Anal. Exp. Modal Anal., 5(2), 81-97.
  29. Yuan, P., Wu, Z. and Ma, X. (1998), "Estimated mass and stiffness matrices of shear building from modal test data", Earthq. Eng. Struct. D., 27(5), 415-421. https://doi.org/10.1002/(SICI)1096-9845(199805)27:5<415::AID-EQE706>3.0.CO;2-7
  30. Yang, Q.W. and Liu, J.K. (2009), "Damage identification by the eigenparameter decomposition of structural flexibility change", Int.J. Numer. Meth. Eng., 78(4), 444-459. https://doi.org/10.1002/nme.2494
  31. Udwadia, F.E. (1994), "Methodology for optimum sensor locations for parameter identification in dynamic systems", J. Eng. Mech. - ASCE, 120(2), 368-390. https://doi.org/10.1061/(ASCE)0733-9399(1994)120:2(368)
  32. Udwadia, F.E. and Proskurowski, W. (1998), "A memory matrix-based identification methodology for structural and mechanical systems", Earthq. Eng. Struct. D., 27, 1465-1481. https://doi.org/10.1002/(SICI)1096-9845(199812)27:12<1465::AID-EQE795>3.0.CO;2-7