Damage Diagnosis of a Structure in Time-Frequency Domain

Abstract:

This work proposes a simple and efficient approach to locating the storeys whose stiffness change in the life cycle of a structure. The storeys that may be damaged are determined by comparing the unitary stiffness matrix in different stages in the life cycle of a building. An appropriate ARX (autoregressive with exogenous input) model of structure in established from the structural dynamic responses in terms of acceleration or velocity. The parameters in an ARX model are identified through the short time Fourier transform, and the natural frequency and damping ratio of structure are estimated directly through these identified parameters. The effectiveness of the proposed procedure is verified using the numerically simulated earthquake acceleration responses of a six-storey structure that is damaged at one or two storeys. The proposed scheme is compared to the DLV approach (flexibility-based damage locating vector approach) in identifying damage storeys.

• Periodical: Applied Mechanics and Materials (Volumes 764-765)
• Pages: 1051-1057
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.764-765.1051
• Online since: May 2015
• Authors: Wei Chih Su*, Chiung Shiann Huang, Liane Jye Chen
• Keywords: Damage Assessment, System Identification, Time-Frequency Domain

References

[1] E. P. Carden and P. Fanning: Vibration based conditioning Monitoring: A review, Structural Health Monitoring, Vol. 3(2004), pp.355-377.

DOI: 10.1177/1475921704047500

[2] D. Montalvao, N. Maia and A. Ribeiro: A review of vibration-based structural health monitoring with special emphasis on composite materials, Shock and Vibration Digest, Vol. 38 (2006), p.295–324.

DOI: 10.1177/0583102406065898

[3] R. D. Adams, P. Cawley, C. J. Pye and B. J. Stone: A vibration technique for non-destructively assessing the integrity of structures. Journal of Mechanical Engineering Science, Vol. 20(1978), pp.93-100.

DOI: 10.1243/jmes_jour_1978_020_016_02

[4] P. Cawley and R. D. Adams: The location of defects in structures from measurements of natural frequencies. Journal of Strain Analysis, Vol. 14(1979), pp.49-57.

DOI: 10.1243/03093247v142049

[5] O. S. Salawu: Detection of Structural Damage Through Changes in Frequency: A Review, Engineering Structures, Vol. 19(1997), pp.718-723.

DOI: 10.1016/s0141-0296(96)00149-6

[6] S. Alampalli, G. Fu and E. W. Dillon: Signal versus noise in damage detection by experimental modal analysis. Journal of Structural Engineering, Vol. 123(1997), p.237–245.

DOI: 10.1061/(asce)0733-9445(1997)123:2(237)

[7] N. A. J. Lieven and D. J. Ewins: Spatial correlation of modespaces: the coordinate modal assurance criterion (COMAC). In: Proceedings of the 6th International Modal Analysis Conference, Kissimmee, Florida, USA, (1988), p.1063–1070.

[8] R. L. Allemang and D. L. Brown: A correlation coefficient for modal vector analysis. in Proc. of the 1st International Modal Analysis Conference. Orlando, Florida, USA, (1983), pp.110-116.

[9] J. He and D. J. Ewins: Analytical Stiffness Matrix Correction Using Measured Vibration Modes, Modal Analysis: The International Journal of Analytical and Experimental Modal Analysis, Vol. 1(1986), p.9–14.

[10] O. S. Salawu and C. Williams: Structural Damage Detection Using Experimental Modal Analysis–A Comparison Of Some Methods, in Proc. of 11th International Modal Analysis Conference, (1993), p.254–260.

[11] L. D. Peterson, K. F. Alvin, S. W. Doebling and K. C. Park: Damage Detection Using Experimentally Measured Mass And Stiffness Matrices, in Proc. of 34th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, AIAA-93-1482-CP(1993).

DOI: 10.2514/6.1993-1482

[12] A. K. Pandey and M. Biswas: Damage detection in structures using changes in flexibility. J. Sound Vib., Vol. 169(1994), p.3–17.

[13] D. Bernal: Load vectors for damage localization. J. Eng. Mech., Vol. 128(2002), p.7–14.

[14] R. P. C. Sampaio, N. M. M. Maia and J. M. M. Silva: Damage detection using the frequency response function curvature method. Journal of Sound and Vibration, Vol. 226(1999), p.1029–1042.

DOI: 10.1006/jsvi.1999.2340

[15] U. Lee and J. Shin: A frequency response function-based structural damage identification method. Computers and Structures, Vol. 80(2002), p.117–132.

DOI: 10.1016/s0045-7949(01)00170-5

[16] J. Leuridan: Some direct parameter model identification methods applicable for multiple modal analysis, PhD Thesis, University of Cincinnati(1984).

[17] C. S. Huang: Structural identification from ambient vibration measurement using the multivariate AR model. Journal of Sound and Vibration, Vol. 241(2001), p.337–359.

DOI: 10.1006/jsvi.2000.3302

[18] J. W. Tedesco, W. G. McDougal and C. A. Ross, Structural dynamics: Theory and applications, Addison-Wesley, Menlo Park, Calif. (1999).