Abstract
Damage identification problem involves detection, localization and assessment of the extent of damage in a structure so that the remaining life could be predicted. Visual or nondestructive experimental damage detection methods such as ultrasonic and acoustic emission ones are based on a local evaluation in easily accessible areas, and therefore, they require a certain prior knowledge of the damage distribution. With the purpose of providing global damage detection methods applicable to complex structures, techniques based on modal testing and signal processing constitute a promising approach for damage identification. These methods examine changes in the dynamic characteristics of structure, such as natural frequencies and mode shapes to detect the structural damage. Modal parameters including natural frequencies, mode shapes and damping ratios are known as essential parameters for analyzing the dynamic behavior of a structure. This paper deals with identification of modal parameters of structures using a two-step algorithm. In the proposed method, free vibration response of structure is decomposed using wavelet packet transform. Then, decomposed signal, which has the same energy with the main signal, is used for modal parameter identification using peak picking method. The performance of the proposed method is verified against the results of an experimental benchmark problem.
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References
Abdel Wahab, M. M., and De Roeck, G. (1999). “Damage detection in bridges using modal curvatures: Application to a real damage scenario.” Journal of Sound and Vibration, Vol. No. 2, pp. 217–235, DOI: 10.1006/jsvi.1999.2295.
Anifantis, N., Rizos, P., and Dimarogonas, A. D. (1987). “Identification of cracks by vibration analysis.” Mechanical signature analysis-Machinery vibration, flow-induced vibration, and acoustic noise analysis, pp. 189–197.
Bandara, R. P., Chan, T. H., and Thambiratnam, D. P. (2014). “Structural damage detection method using frequency response functions.” Structural Health Monitoring, Vol. 13, No. 4, pp. 418–429, DOI: 10.1177/1475921714522847.
Bilošová, A. (2011). Investments in education development, pp. 1–120.
Boonlong, K. (2014). “Vibration-based damage detection in beams by cooperative coevolutionary genetic algorithm.” Advances in Mechanical Engineering, Vol. 6, Article ID 624949, DOI: 10.1155/2014/624949.
Cawley, P. and Adams, R.D. (1979). “The location of defects in structures from measurements of natural frequencies.” Journal of Strain Analysis, Vol. 14, No. 2, pp. 49–57, DOI: 10.1243/03093247V142049.
Chondros, T. G. and Dimarogonas, A. D. (1980). “Identification of cracks in welded joints of complex structures.” Journal of Sound and Vibration, Vol. 69, No. 4, pp. 531–538, DOI: 10.1016/0022-460X(80)90623-9.
Chopra, A. K. (2012). Dynamics of Structures: Theory and Applications to Earthquake Engineering, 4th Edition, Prentice Hall.
Chugh, P., Kumar, S., Valeti, B., Atif, M. M., and Ranjan, R. K. (2011). Small Scale Modeling and testing of a 3-story steel moment frame building - with/without base isolation, Department of Civil Engineering, Indian Institute of Technology, Kanpur.
Debnath, L. and Shah, F. A. (2002). Wavelet transforms and their applications, Boston: Birkhäuser.
Deng, X. and Wang, Q. (1998). “Crack detection using spatial measurements and wavelet analysis.” International Journal of Fracture, Vol. 91, No. 2, pp. 23–28.
Dimarogonas, A. D. (1976). Vibration engineering, Saint Paul, MN: West Publishing Company.
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 (No. LA-13070-MS), Los Alamos National Lab., NM (United States), DOI: 10.2172/249299.
Douka, E., Loutridis, S., and Trochidis, A. (2003). “Crack identification in beams using wavelet analysis.” International Journal of Solids and Structures, Vol. 40, Nos. 13–14, pp. 3557–3569, DOI: 10.1016/S0020-7683(03)00147-1.
Gao, R. X. and Yan, R. (2010). Wavelets: Theory and applications for manufacturing, Springer Science and Business Media.
Mallat, S. (2008). A wavelet tour of signal processing: the sparse way, Academic press.
Marwala, T. (2010). Finite element model updating using computational intelligence techniques: Applications to structural dynamics, Springer Science and Business Media.
Masoud, S., Jarrah, M. A., and Al-Maamory, M. (1998). “Effect of crack depth on the natural frequency of a prestressed fixed–fixed beam.” Journal of Sound and Vibration, Vol. 214, No. 2, DOI: 10.1006/jsvi.1997.1541.
Montalvão, D. and Silva, J. M. M. (2015). “An alternative method to the identification of the modal damping factor based on the dissipated energy.” Mechanical Systems and Signal Processing, Vols. 54–55, pp. 108–123, DOI: 10.1016/j.ymssp.2014.08.025.
Narkis, Y. (1994). “Identification of crack location in vibrating simple supported beams.” Journal of Sound and Vibration, Vol. 172, No. 4, pp. 549–558, DOI: 10.1006/jsvi.1994.1195.
Newland, D. E. (1994). “Wavelet analysis of vibration, part I: Theory.” Journal of Vibration and Acoustics, Vol. 116, No. 4, pp. 409–416, DOI: 10.1115/1.2930443.
Newland, D. E. (1994). “Wavelet analysis of vibration, part II: wavelet maps.” Journal of Vibration and Acoustics, Vol. 116, No. 4, pp. 417–425, DOI: 10.1115/1.2930444.
Ovanesova, A. V. and Suárez, L. E. (2004). “Applications of wavelet transforms to damage detection in frame structures.” Engineering Structures, Vol. 26, No. 1, pp. 39–49, DOI: 10.1016/j.engstruct.2003.08.009.
Shao, R., Hu, W., Wang, Y., and Qi, X. (2014). “The fault feature extraction and classification of gear using principal component analysis and kernel principal component analysis based on the wavelet packet transform.” Measurement, Vol. 54, pp. 118–132, DOI: 10.1016/j.measurement.2014.04.016.
Shiradhonkar, S. R. and Shrikhande, M. (2011). “Seismic damage detection in a building frame via finite element model updating.” Computers and Structures, Vol. 89, No. 23, pp. 2425–2438, DOI: 10.1016/j.compstruc.2011.06.006.
Sohn, H., Farrar, C. R., Hemez, F. M., and Czarnecki, J. J. (2002). A review of structural health review of structural health monitoring Literature 1996-2001 (No. LA-UR-02-2095), Los Alamos National Laboratory.
Sun, Z. and Chang, C. (2002). “Structural damage assessment based on wavelet packet transform.” Journal of Structural Engineering, Vol. 128, No. 10, pp. 1354–1361, DOI: 10.1061/(ASCE)0733-9445(2002)128:10(1354).
Wang, Q. and Deng, X. (1999). “Damage detection with spatial wavelets.” International Journal of Solids and Structures, Vol. 36, No. 23, pp. 3443–3468, DOI: 10.1016/S0020-7683(98)00152-8.
Wang, Z., Bian, S., Lei, M., Zhao, C., Liu, Y., and Zhao, Z. (2014). “Feature extraction and classification of load dynamic characteristics based on lifting wavelet packet transform in power system load modeling.” International Journal of Electrical Power and Energy Systems, Vol. 62, 353–363, DOI: 10.1016/j.ijepes.2014.04.051.
Zimmerman, A. T., Shiraishi, M., Swartz, R. A., and Lynch, J. P. (2008). “Automated modal parameter estimation by parallel processing within wireless monitoring systems.” Journal of Infrastructure Systems, Vol. 14, No. 1, pp. 102–113, DOI: 10.1061/(ASCE)1076-0342(2008)14:1(102).
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Naderpour, H., Fakharian, P. A synthesis of peak picking method and wavelet packet transform for structural modal identification. KSCE J Civ Eng 20, 2859–2867 (2016). https://doi.org/10.1007/s12205-016-0523-4
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DOI: https://doi.org/10.1007/s12205-016-0523-4