Abstract
Plate structures are employed as important structural components in many engineering applications. Hence, assessing the structural conditions of in-service plate structures is critical to monitoring global structural health. Modal curvature-based damage detection techniques have recently garnered considerable attention from the research community, and have become a promising vibration-based structural health monitoring solution. However, computing errors arise when calculating modal curvatures from lateral mode shapes, which result from unavoidable measurement errors in the mode shapes as identified from lateral vibration signals; this makes curvature-based algorithms that use a lateral measurement only theoretically feasible, but practically infeasible. Therefore, in this study, long-gauge fiber Bragg grating strain sensors are employed to obtain a modal curvature without a numerical differentiation procedure in order to circumvent the computing errors. Several damage indices based on modal curvatures that were developed to locate beam damage are employed. Both numerical and experimental studies are performed to validate the proposed approach. However, although previous studies have reported relative success with the application of these damage indices on a simple beam, only one damage index demonstrated the capability to locate damage when the stiffness of the local region changed near the sensor.
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References
Adewuyi AP and Wu Z (2011), “Vibration-Based Damage Localization in Flexural Structures Using Normalized Modal Macrostrain Techniques from Limited Measurements,” Computer-Aided Civil and Infrastructure Engineering, 26(3): 154–172.
Araujo Dos Santos JV, Mota Soares CM, Soares CA and Maia NMM (2005), “Structural Damage Identification in Laminated Structures Using FRF Data,” Composite Structures, 67: 239–249.
Baghiee N, Esfahani MR and Moslem K (2009), “Studies on Damage and FRP Strengthening of Reinforced Concrete Beams by Vibration Monitoring,” Engineering Structures, 31(4): 875–93.
Bayissa WL and Haritos N (2007), “Structural Damage Identification in Plates Using Spectral Strain Energy Analysis,” Journal of Sound and Vibration, 307(1): 226–249.
Cao M, Xu W, Ostachowicz W and Su Z (2014), “Damage Identification for Beams in Noisy Conditions Based on Teager Energy Operator-Wavelet Transform Modal Curvature,” Journal of Sound and Vibration, 333: 1543–1553.
Cao M, Xu W, Ren W, Ostachowicz W, Sha G and Pan L (2016), “A Concept of Complex-Wavelet Modal Curvature for Detecting Multiple Cracks in Beams under Noisy Conditions,” Mechanical Systems and Signal Processing, 76: 555–575.
Carlos A, Gaviria and Luis A and Montejo (2016), “Output-Only Identification of the Modal and Physical Properties of Structures Using Free Vibration Response,” Earthquake Engineering and Engineering Vibration, 15(3): 575–589.
Cawley P and Adam RD (1979), “The Location of Defects in Structures from Measurements of Natural Frequencies,” Journal of Strain Analysis, 14(2): 49–57.
Chance J, Tomlinson GR and Worden K (1994), “A Simplified Approach to the Numerical and Experimental Modeling of the Dynamics of a Cracked Beam,” Proc. of the 12th International Modal Analysis Conference, 778–785.
Cornwell PJ, Dobeling SW and Farrar CR (1997), “Application of the Strain Energy Damage Detection Method to Plate-Like structures,” Proceedings of the International Model Analysis Conference, 1312–1318.
Dai Lu, Yang Na, S.S. Law and Yang Qingshan (2016), “Modal Parameter Identification and Damping Ratio Estimation from the Full-Scale Measurements of a Typical Tibetan Wooden Structure,” Earthquake Engineering and Engineering Vibration, 15(4): 681–695.
Ditommaso R, Mucciarelli M and Ponzo FC, (2012) “Analysis of Non-Stationary Structural Systems by Using a Band-Variable Filter,” Bulletin of Earthquake Engineering, 10: 895–911.
Ditommaso R, Ponzo FC and Auletta G (2015), “Damage Detection on Framed Structures: Modal Curvature Evaluation Using Stockwell Transform under seismic excitation,” Earthquake Engineering and Engineering Vibration, 14: 265–274.
Fabio Pioldi and Egidio Rizzi (2017), “A Refined Frequency Domain Decomposition tool for Structural Modal Monitoring in Earthquake Engineering,” Earthquake Engineering and Engineering Vibration, 16(3): 627–648.
Fan W and Qiao P (2009), “A 2-D Continuous Wavelet Transform of Mode Shape Data for Damage Detection of Plate Structures,” International Journal of Solids and Structures, 46(25–26): 4379–4395.
Fu YZ, Lu ZR and Liu JK (2013), “Damage Identification in Plates Using Finite Element Model Updating in Time Domain,” Journal of Sound and Vibration, 332(26): 7018–7032.
Ge M and Lui EM (2005), “Structural Damage Identification Using System Dynamic Properties,” Computers & Structures, 83(27): 185–196.
Ho YK and Ewins DJ (2000), “On the Structural Damage Identification with Mode Shapes”, Proceedings of the European COST F3 Conference on System Identification & Structural Health Monitoring, Universidad Politecnica de Madrid, Spain, 677–684.
Humar J, Bagchi A and Xu H (2006), “Performance of Vibration-Based Techniques for the Identification of Structural Damage,” Structural Health Monitoring, 5(3): 215–241.
Joshuva A and Sugumaran V (2017), “A Comparative Study of Bayes Classifiers for Blade Fault Diagnosis in Wind Turbines through Vibration Signals,” Structural Durability & Health Monitoring, 12: 69–90.
Li SZ and Wu ZS (2007), “Development of Distributed Long-Gage Fiber Optic Sensing System for Structural Health Monitoring,” Structural Health Monitoring, 6(6): 133–143.
Liu Chengyin, Xu Chunchuan and Teng Jun (2016), “Improvement of Decentralized Random Decrement Technique for Data Processing in Wireless Sensor Network,” Earthquake Engineering and Engineering Vibration, 15(3): 627–635.
Ng CT (2015), “A Two-Stage Approach for Quantitative Damage Imaging in Metallic Plates Using Lamb Waves,” Earthquakes and Structures, 8(4): 821–841.
Pandey AK, Biswas M and Samman MM (1991), “Damage Detection from Changes in Curvature Mode Shapes,” Journal of Sound and Vibration, 145(2): 321–332.
Siddesha H and Manjunath N Hegde (2017), “Structural Damage Detection in Framed Structures Using Under Foundation Settlement/ Rotation of Bases,” Structural Durability & Health Monitoring, 12: 17–41.
Stubbs N and Kim JT (1996), “Damage Localization in Structures Without Base-Line Modal Parameters,” American Institute of Aeronautics and Astronautics Journal, 34(8): 1644–1649.
Stubbs N, Kim JT and Farrar CR (1995), “Field Verification of a Non-Destructive Damage Localization and Severity Estimation Algorithm,” Proceedings of the 13th International Modal Analysis Conference, IMAC, Nashville, TN, 210–218.
Torkzadeh P, Fathnejat H, Ghiasi R. (2016), “Damage Detection of Plate-Like Structures Using Intelligent Surrogate Model,” Smart Structures and Systems, 18(6): 1233–1250.
Van Overschee P and De Moor B (1996), Subspace Identification for Linear Systems: Theory - Implementation–Applications, Kluwer Academic Publishers, Dordrecht, The Netherlands.
Wahab MMA and De Roeck G (1999), “Damage Detection in Bridges Using Modal Curvatures: Applications to a Real Damage Scenario,” Journal of Sound and Vibration, 226(2): 217–235.
Xu W, Cao M, Ostachowicz W, Radzienski M and Xia N (2015), “Two-Dimensional Curvature Mode Shape Method Based on Wavelets and Teager Energy for Damage Detection in Plates,” Journal of Sound and Vibration, 347: 266–278.
Zhang Y, Wang L, Lie ST and Xiang Z (2013), “Damage Detection in Plates Structures Based on Frequency Shift Surface Curvature,” Journal of Sound and Vibration, 332(25): 6665–6684.
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Hsu, T.Y., Shih, Y.C. & Pham, QV. Damage detection of a thin plate using modal curvature via macrostrain measurement. Earthq. Eng. Eng. Vib. 18, 409–424 (2019). https://doi.org/10.1007/s11803-019-0512-y
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DOI: https://doi.org/10.1007/s11803-019-0512-y