Structural Engineering and Mechanics

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Damage assessment in periodic structures from measured natural frequencies by a sensitivity and transfer matrix-based method

  • Zhu, Hongping (School of Civil Engineering & Mechanics, Huazhong University of Science & Technology) ;
  • Li, Lin (School of Civil Engineering & Mechanics, Huazhong University of Science & Technology) ;
  • Wang, Dansheng (School of Civil Engineering & Mechanics, Huazhong University of Science & Technology)
  • Received : 2001.09.04
  • Accepted : 2003.05.06
  • Published : 2003.07.25
⟨ Previous Next ⟩

Abstract

This paper presents a damage assessment procedure applied to periodic spring mass systems using an eigenvalue sensitivity-based method. The damage is directly related to the stiffness reduction of the damage element. The natural frequencies of periodic structures with one single disorder are found by adopting the transfer matrix approach, consequently, the first order approximation of the natural frequencies with respect to the disordered stiffness in different elements is used to form the sensitivity matrix. The analysis shows that the sensitivity of natural frequencies to damage in different locations depends only on the mode number and the location of damage. The stiffness changes due to damage can be identified by solving a set of underdetermined equations based on the sensitivity matrix. The issues associated with many possible damage locations in large structural systems are addressed, and a means of improving the computational efficiency of damage detection while maintaining the accuracy for large periodic structures with limited available measured natural frequencies, is also introduced in this paper. The incomplete measurements and the effect of random error in terms of measurement noise in the natural frequencies are considered. Numerical results of a periodic spring-mass system of 20 degrees of freedom illustrate that the proposed method is simple and robust in locating single or multiple damages in a large periodic structure with a high computational efficiency.

Keywords

References

  1. Bicanic, N. and Chen, H.P. (1997), "Damage identification in framed structures using natural frequencies", Int. J. Numer. Meth. Eng., 40, 4451-4468. https://doi.org/10.1002/(SICI)1097-0207(19971215)40:23<4451::AID-NME269>3.0.CO;2-L
  2. Capecchi, D. and Vestroni, F. (1999), "Monitoring of structural systems by using frequency data", Earthq. Eng. Struct. Dyn., 28, 447-461. https://doi.org/10.1002/(SICI)1096-9845(199905)28:5<447::AID-EQE812>3.0.CO;2-2
  3. Cawley, P. and Adams, R.D. (1979), "The location of defects in structures from measurements of natural frequencies", Journal of Strain Analysis, 14, 49-57. https://doi.org/10.1243/03093247V142049
  4. Chang, F.K. (1997), Structural Health Monitoring, Current Status and Perspectives. Lancaster, PA: Technomic.
  5. Farrar, C.R. and Cone, K.M. (1995), "Vibration testing of I-40 bridge before and after the introduction of damage", Proc. of the 13th Int. Modal Analysis Conf., 1, 203-209.
  6. Faulkner, M.G. and Hong, D.P. (1985), "Free vibrations of a mono-coupled coupled periodic system", J. Sound & Vib., 99, 29-42. https://doi.org/10.1016/0022-460X(85)90443-2
  7. Hassiotis, S. (2000), "Identification of damage using natural frequencies and Markov parameters", Comput. Struct., 74, 365-373. https://doi.org/10.1016/S0045-7949(99)00034-6
  8. Hassiotis, S. and Jeong, G.D. (1993), "Assessment of structural damage from natural frequency measurements", Comput. Struct., 49, 679-691. https://doi.org/10.1016/0045-7949(93)90071-K
  9. Hassiotis, S. and Jeong, G.D. (1995), "Identification of stiffness reductions using natural frequency measurements", J. Eng. Mech., 121, 1106-1113. https://doi.org/10.1061/(ASCE)0733-9399(1995)121:10(1106)
  10. Idichandy, V.G. and Ganapathy, C. (1990), "Modal parameters for structural integrity monitoring of fixed offshore platforms", Experimental Mechanics, 382-391.
  11. Kim, J. and Stubbs, N. (1995), "Model-uncertainty impact and damage-detection accuracy in plate girder", J. Struct. Eng., ASCE, 121, 1409-1417. https://doi.org/10.1061/(ASCE)0733-9445(1995)121:10(1409)
  12. Koh, C.G., See, L.M. and Balendra, T. (1991), "Estimation of structural parameters in the time domain: a substructure approach", Earthq. Eng. Struct. Dyn., 20, 787-801. https://doi.org/10.1002/eqe.4290200806
  13. Lim, T.W. (1990), "Submatrix approach to stiffness matrix correction using modal test data", AIAA J., 28(6), 1123-1130. https://doi.org/10.2514/3.25176
  14. Mead, D.J. (1996), "Wave propagation in continuous periodic structures: research contributions from Southampton, 1964-1995", J. Sound & Vib., 190, 495-524. https://doi.org/10.1006/jsvi.1996.0076
  15. Messina, A., Jones, I.A. and Williams, E.J. (1996), "Damage detection and localisation using natural frequency changes", Proc. of Conf. on Identification in Engineering Systems, Swansea, U.K., 67-76.
  16. Messina, A., Williams, E.J. and Contursi, T. (1998), "Structural damage detection by a sensitivity and statisticalbased method", J. Sound & Vib., 216, 791-808. https://doi.org/10.1006/jsvi.1998.1728
  17. Oreta, A.W.C. and Tanabe, T-A. (1994), "Element identification of member properties of framed structures", J. Struct. Eng., ASCE, 120(7), 1961-1976. https://doi.org/10.1061/(ASCE)0733-9445(1994)120:7(1961)
  18. Pabst, U. and Hagedorn, P. (1993), "On the identification of localized losses of stiffness in structures", Structural Dynamics of Large Scale and Complex Systems, ASME, 59, 99-103.
  19. Stubbs, N., Broome, T.H. and Osegueda, R. (1990), "Nondestructive construction error detection in large space structures", AIAA J., 28, 146-152. https://doi.org/10.2514/3.10365
  20. Yun, C-B. and Bahng, E.Y. (2000), "Substructural identification using neural networks", Comput. Struct., 77, 41- 52. https://doi.org/10.1016/S0045-7949(99)00199-6
  21. Yun, C-B. and Lee, H-J. (1995), "Damage estimation of structures incorporating substructural identification", Proc. of Asian-Pacific Symposium on Structural Reliability and its Applications, Tokyo, Japan, 220-228.

Cited by

  1. Application of digital image monitoring system to detecting a high voltage icing conductor vol.12, pp.1, 2009, https://doi.org/10.1007/s11806-009-0183-3
  2. A real-time system for monitoring distant dynamic displacement of structures vol.11, pp.1, 2008, https://doi.org/10.1007/s11806-007-0158-1
  3. Damage detection in truss structures using a flexibility based approach with noise influence consideration vol.27, pp.5, 2007, https://doi.org/10.12989/sem.2007.27.5.625
  4. Experimental investigation of local damage in high strength concrete columns using a shaking table vol.19, pp.5, 2005, https://doi.org/10.12989/sem.2005.19.5.581