Abstract
A new methodology is presented in this work to detect, localize, and relatively quantify damage in structures based on the changes in the second spatial derivative (curvature) of the power spectral density (PSD) of the angular velocity during vibration. The proposed method is based on the output motion only and does not require information about the input forces/motions. The PSD of the angular velocity signal at different locations on structural beams was used to identify the frequencies where the beams show large angular velocity. The curvature of the PSD of the angular velocity at these peak frequencies was then calculated. A damage index is presented that measures the differences between the PSD curvature of the angular velocity of a damaged structure and an artificial healthy baseline structure. The efficacy of the proposed method in detecting and localizing single and multiple damages was numerically demonstrated on structural beams with the presence of white noise. The method was very effective in detecting and localizing small damage on beams with narrow slots even when 10% white noise was added to the measured data. The method also successfully detected and localized a narrow slot in laboratory testing of a cantilever beam.
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References
Chang PC, Flatau A, Liu S (2003) Review paper: health monitoring of civil infrastructure. Struct Health Monit 2(3):257–267
Inventory NB (2012) Deficient bridges by highway system. https://www.fhwa.dot.gov/bridge/nbi/no10/defbr12.cfm. Accessed 26 Sept 2016
Pandey AK, Biswas M, Samman MM (1991) Damage detection from changes in curvature mode shapes. J Sound Vib 145(2):321–332
Hassiotis S, Jeong G (1995) Identification of stiffness reductions using natural frequencies. J Eng Mech 121(10):1106–1113
Rytter A (1993) Vibrational based inspection of civil engineering structures. PhD Thesis, Aalborg University, Denmark
Fan W, Qiao P (2011) Vibration-based damage identification methods: a review and comparative study. Struct Health Monit 10(1):83–111
Doebling SW, Farrar CR, Prime MB (1998) A summary review of vibration-based damage identification methods. Shock Vib Dig 30(2):91–105
Chen J-C, Garba JA (1988) On-orbit damage assessment for large space structures. AIAA J 26(9):1119–1126
Hajela P, Soeiro FJ (1990) Structural damage detection based on static and modal analysis. AIAA J 28(6):1110–1115
Crema LB, Castellani A, Coppotelli G (1995) Damage localization in composite material structures by using eigenvalue measurements. Report CONF-950116. American Society of Mechanical Engineers, New York
Cawley P, Adams RD (1979) A vibration technique for non-destructive testing of fiber composite structures. J Compos Mater 13(2):161–175
Vantomme J (1992) Evaluation of structural joints in composites with modal parameters. Compos Struct 22(4):201–205
Chang K, Shen Z, Lee G (1993) Modal analysis technique for bridge damage detection. In: ASCE nondestructive testing methods for civil infrastructure, Irvine, CA, 19–21 April 1993. ASCE, Reston, pp 1–16
Maia N, Silva J, Sampaio R (1997) Localization of damage using curvature of the frequency-response-functions. In: Proceedings of SPIE, the international society for optical engineering, January 1997
Ratcliffe CP (2000) A frequency and curvature based experimental method for locating damage in structures. J Vib Acoust 122(3):324–329
Sampaio RPC, Maia NMM, Silva JMM (1999) Damage detection using the frequency-response-function curvature method. J Sound Vib 226(5):1029–1042
Farrar CR, Jauregui DA (1998) Comparative study of damage identification algorithms applied to a bridge: I. Experiment. Smart Mater Struct 7:704–719
Humar J, Bagchi A, Xu H (2006) Performance of vibration-based techniques for the identification of structural damage. Struct Health Monit 5(3):215–241
Adams DE (2007) Health monitoring of structural materials and components: methods with applications. Wiley, Hoboken
Worden K (1997) Structural fault detection using a novelty measure. J Sound Vib 201(1):85–101
Johnson T, Adams D, Schiefer M (2002) An analytical and experimental study to assess structural damage and integrity using dynamic transmissibility. In: Proceedings of the 20th international modal analysis conference
Schallhorn C, Rahmatalla S (2015) Crack detection and health monitoring of highway steel-girder bridges. Struct Health Monit 14(3):281–299
Rucevskis S, Janeliukstis R, Akishin P, Chate A (2016) Mode shape-based damage detection in plate structure without baseline data. Struct Control Health Monit 23(9):1180–1193
Lu P (2008) A statistical based damage detection approach for highway bridge structural health monitoring. PhD thesis, Iowa State University
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Al-Jailawi, S., Rahmatalla, S. Damage detection in structures using angular velocity. J Civil Struct Health Monit 7, 359–373 (2017). https://doi.org/10.1007/s13349-017-0224-9
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DOI: https://doi.org/10.1007/s13349-017-0224-9