Vibration-based damage detection in beam structures with multiple cracks: modal curvature vs. modal flexibility methods

References

• Doebling S, Farrar C, Prime M, Shevits D. 1996. Damage identification and health monitoring of structural and mechanical systems from changes in their vibration characteristics: a literature review. Los Alamos National Laboratory, Report no: LA-13070-MS.
   Google Scholar
• Doebling S, Farrar C, Prime M. 1998. A summary review of vibration-based damage identification methods. The Shock and Vibration Digest, 30(2):91–105.
   Google Scholar
• Sinou JJ. 2009. A review of damage detection and health monitoring of mechanical systems from changes in the measurements of linear and non-linear vibrations. In: Mechanical Vibrations: Measurements, Effects and Control(Ed.: RC Sapri), Nova Science Publishers, Inc., p. 643–702.
   Google Scholar
• Mougthy JJ, Casas JR. 2017. A state-of-the-art review of modal-based damage detection in bridges: development, challenges, and solutions. Applied Sciences, 7, 510; 10.3390/app7050510
   Google Scholar
• Salawu O. 1997. Detection of structural damage through changes in frequency: a review. Engineering Structures, 19(9):718–723.
   Web of Science ®Google Scholar
• Allemang RJ, Brown DL. 1982. A correlation coefficient for modal vector analysis. In Proceedings of the 1st SEM International Modal Analysis Conference. Orlando, FL, USA, 8-10 November, p. 110–116.
   Google Scholar
• Lieven N, Ewins D 1988. Spatial correlation of mode shapes: the coordinate modal assurance criterion (COMAC). In Proceedings of the 6^th International Modal Analysis Conference, Kissimmee, FL, USA, 1–4 February, p. 690–695.
   Google Scholar
• Allemang RJ. 2003. The modal assurance criterion – twenty years of use and abuse. Sound and Vibration. August:14–21.
   Web of Science ®Google Scholar
• Pandey AK, Biswas M, Samman MM. 1991.Damage detection from changes in curvature mode shapes. Journal of Sound and Vibration, 145: 321–332.
   Web of Science ®Google Scholar
• Abdel Wahab MM, De Roeck G. 1999. Damage detection in bridges using modal curvatures: application to a real damage scenario. Journal of Sound and Vibration, 226(2):217–235.
   Web of Science ®Google Scholar
• Ručevskis S, Wesolowski M, Chate A. 2009. Vibration-based damage detection in a beam structure with multiple damage locations. Aviation, 13(3):61–71.
   Google Scholar
• Dilena M, Morassi A, Limongelli M. 2013. Vibration based methods for damage localization in bridges. In Proceeding of Experimental Vibration Analysis for Civil Engineering Structures, Oura Preto, Brazil, 28–30 October, 329–338.
   Google Scholar
• Dessi D, Camerlengo G. 2015. Damage identification techniques via modal curvature analysis: overview and comparison. Mechanical Systems and Signal Processing, 52–53:181–205.
   Web of Science ®Google Scholar
• Pandey AK, Biswas M. 1994. Damage detection in structures using changes in flexibility. Journal of Sound and Vibration, 169:223–236.
   Web of Science ®Google Scholar
• Park H-J, Koo K-Y, Yun C-B. 2007. Modal flexibility-based damage detection technique of steel beam by dynamic strain measurements using FGB sensors. Steel Structures, 7: 11–18.
   Web of Science ®Google Scholar
• Dawari VB, Vesmawala GR. 2013. Modal curvature and modal flexibility methods for honeycomb damage identification in reinforced concrete beams. Procedia Engineering, 51:119–124.
   Google Scholar
• Daei M, Mirmohammadi SH. 2015. A flexibility method for structural damage identification using continuous ant colony optimization. Multidiscipline Modeling in Materials and Structures, 11(2): 186–201.
   Web of Science ®Google Scholar
• Yan W-J, Ren W-Y. 2013. Closed-form modal flexibility sensitivity and its application to structural damage detection without modal truncation error. Journal of Vibration and Control. 20(12):1816–1830.
   Web of Science ®Google Scholar
• Xiang J-W, Liang M. 2012. Wavelet-based detection of beam cracks using modal shape and frequency measurements. Computer-Aided Civil Infrastructure Engineering. 27:439–454.
   Web of Science ®Google Scholar
• Xiang J-W, Matsumoto T, Long J-Q, Ma G. 2013. Identification of damage locations based on operating deflection shape. Nondestructive Test Eval. 28:166–180.
   Web of Science ®Google Scholar
• Xiang J-W, Liang M, He Y. 2014. Experimental investigation of frequency-based multi-damage detection for beams using support vector regression. Engineering Fracture Mechanics, 131:257–268.
   Web of Science ®Google Scholar
• Cao M-S, Xua W, Ren W-X, Ostachowicz W, Sha G-G, Pan L-X. 2016. A concept of complex-wavelet modal curvature for detecting multiple cracks in beams under noisy conditions, mechanical systems and signal processing. 76–77:555–575.
   Google Scholar
• Altunışık AC, Okur FY, Kahya V. 2017a. Structural identification of a cantilever beam with multiple cracks: modelling and validation. International Journal of Mechanical Sciences, 130:74–89.
   Web of Science ®Google Scholar
• Altunışık AC, Okur FY, Kahya V. 2017b. Modal parameter identification and vibration-based damage detection of a multiple cracked cantilever beam. Engineering Failure Analysis, Orlando, FL, USA, 79: 154–170.
   Google Scholar
• Altunışık AC, Okur FY, Kahya V. 2017c. Automated model updating of multiple cracked cantilever beams for damage detection. International Journal of Mechanical Sciences, 138:499–512.
   Google Scholar
• Bhat U, de Oliveira JG. A formulation for the shear coefficient of thin-walled prismatic beams. Journal of Ship Research, 29: 51–58.
   Web of Science ®Google Scholar
• Shafiei M, Khaji N. 2011. Analytical solutions for free and forced vibrations of a multiple cracked Timoshenko beam subject to a concentrated moving load. Acta Mech. 221:79–97.
   Web of Science ®Google Scholar
• Zheng DY, Fan SC. 2003. Vibration and stability of cracked hollow-sectional beams. Journal of Sound and Vibration, 267: 933–954.
   Web of Science ®Google Scholar
• PULSE Analyzers and Solutions, Release 11.2. Brujel and Kjaer, sound and vibration measurement A/S. Denmark, 2006.
   Google Scholar
• OMA Operational Modal Analysis Software, Release 4. structural vibration solution A/S. Denmark, 2006.
   Google Scholar