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Damage detection of mono-coupled multistory buildings: Numerical and experimental investigations

  • Xu, Y.L. (Department of Civil and Structural Engineering, The Hong Kong Polytechnic University) ;
  • Zhu, Hongping (School of Civil Engineering & Mechanics, Huazhong University of Science & Technology) ;
  • Chen, J. (Department of Civil and Structural Engineering, The Hong Kong Polytechnic University)
  • Received : 2003.09.08
  • Accepted : 2004.07.15
  • Published : 2004.12.25

Abstract

This paper presents numerical and experimental investigations on damage detection of mono-coupled multistory buildings using natural frequency as only diagnostic parameter. Frequency equation of a mono-coupled multistory building is first derived using the transfer matrix method. Closed-form sensitivity equation is established to relate the relative change in the stiffness of each story to the relative changes in the natural frequencies of the building. Damage detection is then performed using the sensitivity equation with its special features and minimizing the norm of an objective function with an inequality constraint. Numerical and experimental investigations are finally conducted on a mono-coupled 3-story building model as an application of the proposed algorithm, in which the influence of modeling error on the degree of accuracy of damage detection is discussed. A mono-coupled 10-story building is further used to examine the capability of the proposed algorithm against measurement noise and incomplete measured natural frequencies. The results obtained demonstrate that changes in story stiffness can be satisfactorily detected, located, and quantified if all sensitive natural frequencies to damaged stories are available. The proposed damage detection algorithm is not sensitive to measurement noise and modeling error.

Keywords

References

  1. 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
  2. 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
  3. Doebling, S.W., Farrar, C.R. and Prime, M.B. (1998), "A summary review of vibration-based damage identification methods", The Shock and Vibration Digest, 30(2), 91-105. https://doi.org/10.1177/058310249803000201
  4. Gudmunsdson, P. (1983), "The dynamic behavior of slender structures with cross-sectional cracks", J. of the Mechanics and Physics of Solids, 31(4), 329-345. https://doi.org/10.1016/0022-5096(83)90003-0
  5. Hassiotis, S. and Jeong, G.D. (1995), "Identification of stiffness reductions using natural frequency measurements", J. Eng. Mech., ASCE, 121, 1106-1113. https://doi.org/10.1061/(ASCE)0733-9399(1995)121:10(1106)
  6. Hjelmstad, K.D. (1996), "On the uniqueness of modal parameter estimation", J. Sound Vib., 192(2), 581-598. https://doi.org/10.1006/jsvi.1996.0205
  7. Koh, C.G., See, L.M. and Balendra, T. (1995), "Damage detection of buildings: Numerical and experimental studies", J. Struct. Eng., ASCE, 121(8), 1155-1160. https://doi.org/10.1061/(ASCE)0733-9445(1995)121:8(1155)
  8. Law, S.S. and Shi, Z.Y. (1998), "Structural damage detection from incomplete and noisy modal test data", J. Eng. Mech., ASCE, 124(11), 1280-1288. https://doi.org/10.1061/(ASCE)0733-9399(1998)124:11(1280)
  9. Liang, R.Y., Hu, J. and Choy, F. (1992), "Theoretical study of crack-induced eigenfrequency changes on beam structures", J. Eng. Mech., ASCE, 118(2), 384-396. https://doi.org/10.1061/(ASCE)0733-9399(1992)118:2(384)
  10. Morassi, A. and Rovere, N. (1997), "Locating a notch in a steel frame from frequency measurements", J. Eng. Mech., ASCE, 123(5), 422-432. https://doi.org/10.1061/(ASCE)0733-9399(1997)123:5(422)
  11. Morassi, A. (2001), "Identification of a crack in a rod based on changes in a pair of natural frequencies", J. Sound Vib., 242(4), 577-596. https://doi.org/10.1006/jsvi.2000.3380
  12. Morteza, A.M.T. (1988), "Stiffness identification of frames using simulated ground excitation", J. Eng. Mech., ASCE, 114(5), 753-776. https://doi.org/10.1061/(ASCE)0733-9399(1988)114:5(753)
  13. Salawu, O.S. (1997), "Detection of structural damage through changes in frequency: A review", Eng. Struct., 19(9), 718-723. https://doi.org/10.1016/S0141-0296(96)00149-6
  14. Topole, K.G. and Stubbs, N. (1995), "Non-destructive damage evaluation of a structure from limited modal parameters", Earthq. Eng. Struct. Dyn., 24, 1427-1436. https://doi.org/10.1002/eqe.4290241102
  15. Yang, J.N. and Lin, Y.K. (1981), "Along-wind motion of multistory building", J. Eng. Mech. Div., ASCE, 107(2), 295-307.
  16. Zhu, H. (2000), "Finite element model updating using test modal data", Proc. of Int. Conf. on Advances in Structural Dynamics, Dec. 13-15, Hong Kong, 2, 1628-1634.
  17. Zhu, H. and Wu, M. (2002), "The characteristic receptance method for damage detection in large mono-coupled periodic structures", J. Sound Vib., 251(2), 241-259. https://doi.org/10.1006/jsvi.2001.3988

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