A damage identification approach for plate structures based on frequency measurements

REFERENCES

• R.Hill, R.S.Geng, A.Cowking, and J.W.Mackersie, The effect of nickel hardness and grain size on acoustic and electromagnetic Barkhausen emission, NDT&E Int.24 (1991), pp. 179–186.
   Web of Science ®Google Scholar
• R.S.Geng, Modern acoustic emission technique and its application in aviation industry, Ultrasonics44 (2006), pp. e1025–e1029.
   PubMed Web of Science ®Google Scholar
• X.Jian, S.Dixon, K.Quirk, and K.T.V.Grattan, Electromagnetic acoustic transducers for in- and out-of plane ultrasonic wave detection, Sens. Actuators, A148 (2008), pp. 51–56.
   Web of Science ®Google Scholar
• X.Jian and S.Dixon, Enhancement of EMAT and eddy current using a ferrite back-plate, Sens. Actuators, A136 (2007), pp. 132–136.
   Web of Science ®Google Scholar
• Y.T.Zhong, J.W.Xiang, Z.S.Jiang, and Y.X.Wang, Pipe damage detection method based on wavelet-based element and support vector regression, J. Vibroeng.12 (2010), pp. 269–278.
   Web of Science ®Google Scholar
• W.Fan and P.Z.Qiao, Vibration-based damage identification methods: A review and comparative study, Struct. Health Monit.10 (2011), pp. 83–111.
   Web of Science ®Google Scholar
• E.Çam, S.Orhan, and M.Lüy, An analysis of cracked beam structure using impact echo method, NDT&E Int.38 (2005), pp. 368–373.
   Web of Science ®Google Scholar
• S.Orhan, Analysis of free and forced vibration of a cracked cantilever beam, NDT&E Int.40 (2007), pp. 443–450.
   Web of Science ®Google Scholar
• S.Orhan, N.Aktürk, and V.Çelik, Vibration monitoring for defect diagnosis of rolling element bearings as a predictive maintenance tool: Comprehensive case studies, NDT&E Int.39 (2006), pp. 293–298.
   Web of Science ®Google Scholar
• S.Loutridisa, E.Douka, and L.J.Hadjileontiadis, Forced vibration behaviour and crack detection of cracked beams using instantaneous frequency, NDT&E Int.38 (2005), pp. 411–419.
   Web of Science ®Google Scholar
• E.Douka and L.J.Hadjileontiadis, Time–frequency analysis of the free vibration response of a beam with a breathing crack, NDT&E Int.38 (2005), pp. 3–10.
   Web of Science ®Google Scholar
• L.A.Yu, L.Zheng, and Z.G.Wei, Crack detection of fibre reinforced composite beams based on continuous wavelet transform, Nondestruct. Test. Eval.25 (2010), pp. 25–44.
   Web of Science ®Google Scholar
• S.Rahmatalla and H.C.Eun, A damage detection approach based on the distribution of constraint forces predicted from measured flexural strain, Smart Mater. Struct.19 (2010), p. 105016.
   Web of Science ®Google Scholar
• J.Xiang and M.Liang, Wavelet-based detection of beam cracks using modal shape and frequency measurements, Comput. Aided Civil Infrastruct. Eng.27 (2012), pp. 439–454.
   Web of Science ®Google Scholar
• J.Xiang, T.Matsumoto, Y.Wang, and Z.Jiang, A simple method to detect cracks in beam-like structures, Smart Struct. Syst.9 (2012), pp. 335–353.
   Web of Science ®Google Scholar
• J.Xiang, T.Matsumoto, Y.Wang, and Z.Jiang, A hybrid of interval wavelets and wavelet finite element model for damage detection in structures, Comput. Model. Eng. Sci.81 (2011), pp. 269–294.
   Web of Science ®Google Scholar
• Q.Wang and X.Deng, Damage detection with spatial wavelets, Int. J. Solids Struct.36 (1999), pp. 3443–3468.
   Web of Science ®Google Scholar
• S.T.Quek, Q.Wang, L.Zhang, and K.K.Ang, Sensitivity analysis of crack detection in beams by wavelet technique, Int. J. Mech. Sci.43 (2001), pp. 2899–2910.
   Web of Science ®Google Scholar
• B.Li, X.F.Chen, J.X.Ma, and Z.J.He, Detection of crack location and size in structures using wavelet finite element methods, J. Sound Vib.285 (2005), pp. 767–782.
   Web of Science ®Google Scholar
• Z.B.Yang, X.F.Chen, S.H.Tian, and Z.J.He, Multiple damages detection in beam based approximate waveform capacity dimension, Struct. Eng. Mech.41 (2012), pp. 663–673.
   Web of Science ®Google Scholar
• J.Xiang, J.Long, and Z.Jiang, A numerical study using Hermitian cubic spline wavelets for the analysis of shafts, Proc. Inst. Mech. Eng. C J. Mech. Eng. Sci.224 (2010), pp. 1843–1851.
   Web of Science ®Google Scholar
• D.M.F.Edwards and I.R.McDonald, Development in mode shape-based structural fault identification technique, World Appl. Sci. J.5 (2008), pp. 29–38.
   Google Scholar
• J.Xiang and M.Liang, Multiple damage detection method for beams based on multi-scale elements using Hermite cubic spline wavelet, Comput. Model. Eng. Sci.73 (2011), pp. 267–298.
   Web of Science ®Google Scholar
• U.Lee and J.Shin, A structural damage identification method for plate structures, Eng. Struct.24 (2002), pp. 1177–1188.
   Web of Science ®Google Scholar
• J.Xiang and M.Liang, A two-step approach to multi-damage detection for plate structures, Eng. Fract. Mech.91 (2012), pp. 73–86.
   Web of Science ®Google Scholar
• Sh.Hosseini-Hashemi, Gh.Heydar Roohi, and D.T.Hossein Rokni, Exact free vibration study of rectangular Mindlin plates with all-over part-through open cracks, Comput. Struct.88 (2010), pp. 1015–1032.
   Web of Science ®Google Scholar
• S.Loutridis, E.Douka, L.J.Hadjileontiadis, and A.Trochidis, A two-dimensional wavelet transform for detection of cracks in plates, Eng. Struct.27 (2005), pp. 1327–1338.
   Web of Science ®Google Scholar
• W.Fan and P.Z.Qiao, A 2-D continuous wavelet transform of mode shape data for damage detection of plate structures, Int. J. Solids Struct.46 (2009), pp. 4379–4395.
   Web of Science ®Google Scholar
• F.Li, H.Murayama, K.Kageyama, and T.Shirai, Doppler effect-based fiber-optic sensor and its application in ultrasonic detection, Opt. Fiber Technol.15 (2009), pp. 296–303.
   Web of Science ®Google Scholar
• F.Li, H.Murayama, K.Kageyama, and I.Ohsawa, Multiple damage assessment in composite laminates using a Doppler-effect-based fiber-optic sensor, Meas. Sci. Technol.20 (2009), p. 115109.
   Google Scholar
• F.Li, H.Murayama, K.Kageyama, and T.Shirai, Guided wave and damage detection in composite laminates using different fiber optic sensors, Sensors9 (2009), pp. 4005–4021.
   PubMed Web of Science ®Google Scholar
• P.Qiao, K.Lu, W.Lestarid, and J.Wang, Curvature mode shape-based damage detection in composite laminated plates, Compos. Struct.80 (2007), pp. 409–428.
   Web of Science ®Google Scholar
• H.P.Lee, Fundamental frequencies of annular plates with internal cracks, Comput. Struct.43 (1992), pp. 1085–1089.
   Web of Science ®Google Scholar
• H.P.Lee and S.P.Lim, Vibration of cracked rectangular plates including transverse shear deformation and rotary inertia, Comput. Struct.49 (1993), pp. 715–718.
   Web of Science ®Google Scholar
• S.H.Hashemi, M.Fadaee, and S.R.Atashipour, A new exact analytical approach for free vibration of Reissner–Mindlin functionally graded rectangular plates, Int. J. Mech. Sci.53 (2011), pp. 11–22.
   Web of Science ®Google Scholar
• S.H.Hashemi, M.Fadaee, and H.R.D.Taher, Exact solutions for free flexural vibration of Lévy-type rectangular thick plates via third-order shear deformation plate theory, Appl. Math. Model.35 (2011), pp. 708–727.
   Web of Science ®Google Scholar
• S.H.Hashemi and M.Arsanjani, Exact characteristic equations for some of classical boundary conditions of vibrating moderately thick rectangular plates, Int. J. Solids Struct.42 (2005), pp. 819–853.
   Web of Science ®Google Scholar
• S.H.Hashemi, K.Khorshidi, and M.Amabili, Exact solution for linear buckling of rectangular Mindlin plates, J. Sound Vib.315 (2008), pp. 318–342.
   Web of Science ®Google Scholar
• O.Civalek, Analysis of thick rectangular plates with symmetric cross-ply laminates based on first-order shear deformation theory, J. Compos. Mater.42 (2008), pp. 2853–2867.
   Web of Science ®Google Scholar
• O.Civalek, Free vibration analysis of symmetrically laminated composite plates with first-order shear deformation theory (FSDT) by discrete singular convolution method, Finite Elem. Anal. Des.44 (2008), pp. 725–731.
   Web of Science ®Google Scholar
• O.Civalek and M.H.Acar, Discrete singular convolution method for the analysis of Mindlin plates on elastic foundations, Int. J. Press. Vessels Pip.84 (2007), pp. 527–535.
   Web of Science ®Google Scholar
• O.Civalek, Free vibration and buckling analyses of composite plates with straight-sided quadrilateral domain based on DSC approach, Finite Elem. Anal. Des.43 (2007), pp. 1013–1022.
   Web of Science ®Google Scholar
• R.Szilard, Theories and Applications of Plate Analysis, Wiley, Hoboken, NJ,2004.
   Google Scholar
• A.Israr, M.P.Cartmell, E.Manoach, I.Trendafilova, W.Ostachowicz, M.Krawczuk, and A.Zak, Analytical modelling and vibration analysis of cracked rectangular plates with different loading and boundary conditions, J. Appl. Mech.76 (2009), pp. 1–9.
   Google Scholar
• C.C.Chang and L.W.Chen, Damage detection of a rectangular plate by spatial wavelet based approach, Appl. Acoust.65 (2004), pp. 819–832.
   Web of Science ®Google Scholar
• D.Wu and S.S.Law, Crack identification in thin plates with anisotropic damage model and vibration measurements, J. Appl. Mech.72 (2005), pp. 852–861.
   Web of Science ®Google Scholar
• D.Wu and S.S.Law, Damage localization in plate structures from uniform load surface curvature, J. Sound Vib.276 (2004), pp. 227–244.
   Web of Science ®Google Scholar
• S.Choi, S.Park, N.H.Park, and N.Stubbs, Improved fault quantification for a plate structure, J. Sound Vib.297 (2006), pp. 865–879.
   Web of Science ®Google Scholar
• W.L.Bayissa, N.Haritos, and S.Thelandersson, Vibration-based structural damage identification using wavelet transform, Mech. Syst. Signal Process.22 (2008), pp. 1194–1215.
   Web of Science ®Google Scholar
• A.J.M.Ferreira, MATLAB Codes for Finite Element Analysis, Springer, Berlin, 2009.
   Google Scholar
• J.J.Ye, Y.M.He, X.F.Chen, Z.Zhai, Y.M.Wang, and Z.J.He, Pipe crack identification based on finite element method of second generation wavelets, Mech. Syst. Signal Process.24 (2010), pp. 379–393.
   Web of Science ®Google Scholar
• R.D.Adams, P.Cawley, C.J.Pye, and B.J.Stone, A vibration technique for non-destructively assessing the integrity of structures, J. Mech. Eng. Sci.20 (1978), pp. 93–100.
   Web of Science ®Google Scholar
• G.I.Schuëller, Developments in stochastic structural mechanics, Arch. Appl. Mech.75 (2006), pp. 755–773.
   Web of Science ®Google Scholar