Damage detection in beam through change in measured frequency and undamaged curvature mode shape

References

• Doebling SW , Farrar CR , Prime MB , et al. Damage identification and health monitoring of structural and mechanical systems from changes in their vibration characteristics: a literature review. Los Alamos National Laboratory report; 1996. ( LA-13070-MS).10.2172/249299
   Google Scholar
• Doebling SW , Farrar CR , Prime MB . A summary review of vibration-based damage identification methods. 1998;30(2):91–105.
   Google Scholar
• Sohn H , Farrar CR , Hemez FM , et al. A review of structural health monitoring literature: 1996–2001. Massachusetts Institute of Technology, Los Alamos National Laboratory report; 2004. (LA-13976-MS).
   Google Scholar
• Sinou JJ . A review of damage detection and health monitoring of mechanical systems from changes in the measurement of linear and non-linear vibrations. In: Sapri RC , editor. Mechanical vibrations: measurement, effects and control. Nova Science; 2009. p. 643–702.
   Google Scholar
• Fan W , Qiao P . Vibration-based damage identification methods: a review and comparative study. Struct Health Monit. 2011;83–111.10.1177/1475921710365419
   Google Scholar
• Jassim ZA , Ali NN , Mustapha F , et al. A review on the vibration analysis for a damage occurrence of a cantilever beam. Eng Failure Anal. 2013;31:442–461.
   Web of Science ®Google Scholar
• Das S , Saha P , Patro SK . Vibration-based damage detection techniques used for health monitoring of structures: a review. J Civil Struct Health Monit. 2016;6(3):477–507.10.1007/s13349-016-0168-5
   Web of Science ®Google Scholar
• Qing XP , Beard SJ , Kumar A , et al. The performance of a piezoelectric-sensor-based SHM system under a combined cryogenic temperature and vibration environment. Smart Mater Struct. 2008;17(5):1–11.
   Google Scholar
• Wu Q , Yu F , Okabe Y , et al. Application of a novel optical fiber sensor to detection of acoustic emissions by various damages in CFRP laminates. Smart Mater Struct. 2014;24(1):015011.
   Web of Science ®Google Scholar
• Lam PM , Lau KT , Ling HY , et al. Acousto-ultrasonic sensing for delaminated GFRP composites using an embedded FBG sensor. Opt Lasers Eng. 2009;47(10):1049–1055.10.1016/j.optlaseng.2009.01.010
   Web of Science ®Google Scholar
• Cao MS , Sha GG , Gao YF , et al. Structural damage identification using damping: a compendium of uses and features. Smart Mater Struct. 2017;26:043001 14pp.10.1088/1361-665X/aa550a
   Web of Science ®Google Scholar
• West WM . Illustration of the use of modal assurance criterion to detect structural changes in an orbiter test specimen. Proceedings of the Air Force Conference on Aircraft Structural Integrity. Los Angeles, CA; 1984. p. 1–6.
   Google Scholar
• Lieven N , Ewins D . Spatial correlation of mode shapes: the coordinate modal assurance criterion (COMAC). Proceedings of the 6th International Modal Analysis Conference, Kissimmee, FL, USA; 1988. Vol. 1, p. 690–695.
   Google Scholar
• Heylen W . Extensions of the modal assurance criterion. J Vib Acoust. 1990;112:468–472.10.1115/1.2930130
   Web of Science ®Google Scholar
• O’Callahan J . Correlation considerations – Part 4 (Modal vector correlation techniques). Proceedings of the 16th International Modal Analysis Conference. Santa Barbara, CA; 1998. p. 197–206.
   Google Scholar
• Brechlin E , Bendel K , Keiper W . A new scaled modal assurance criterion for eigenmodes containing rotational degrees of freedom. Proceedings of International Seminar on Modal Analysis, ISMA23. Noise and vibration engineering; 1998. p. 1175–1182.
   Google Scholar
• Allemang RJ . The modal assurance criterion – twenty years of use and abuse. Sound Vibr. 2003;37(8):14–23.
   Web of Science ®Google Scholar
• Abdo MA-B , Hori M . A numerical study of structural damage detection using changes in the rotation of mode shapes. J Sound Vibr. 2002;251(2):227–239.10.1006/jsvi.2001.3989
   Web of Science ®Google Scholar
• Pandey A , Biswas M , Samman M . Damage detection from changes in curvature mode shapes. J Sound Vibr. 1991;145:321–332.10.1016/0022-460X(91)90595-B
   Web of Science ®Google Scholar
• Roy K , Ray-Chaudhuri S . Fundamental mode shape and its derivatives in structural damage localization. J Sound Vibr. 2013;332:5584–5593.
   Web of Science ®Google Scholar
• Gladwell GML , Morassi A . Estimating damage in a rod from changes in node positions. Inverse Prob Eng. 1999;7:215–233.10.1080/174159799088027695
   Web of Science ®Google Scholar
• Xiang JW , Matsumoto T , Long JQ , et al. Identification of damage locations based on operating deflection shape. Nondestr Test Eval. 2013;28(2):166–180.10.1080/10589759.2012.716437
   Web of Science ®Google Scholar
• Ratcliffe CP , Bagaria WJ . A vibration technique for locating delamination in a composite beam. Am Inst Aeronaut Astronaut J. 1998;36(6):1074–1077.10.2514/2.482
   Google Scholar
• Wu D , Law SS . Damage localization in plate structures from uniform load surface curvature. J Sound Vibr. 2004;276:227–244.10.1016/j.jsv.2003.07.040
   Web of Science ®Google Scholar
• Gherlone M , Mattone M , Surace C , et al. Novel vibration-based methods for detecting delamination damage in composite plate and shell laminates. Key Eng Mater. 2005;293–294:289–296.10.4028/www.scientific.net/KEM.293-294
   Google Scholar
• Rucevskis S , Wesolowski M , Chate A . Vibration-based damage identification in laminated composite beams. Constr Sci. 2009;10(10):100–112.
   Google Scholar
• Rucevskis S , Janeliukstis R , Akishin P , et al. Mode shape-based damage detection in plate structure without baseline data. Struct Control Health Monit. 2016;23(9):1180–1193.10.1002/stc.v23.9
   Web of Science ®Google Scholar
• Chang CC , Chen LW . Vibration damage detection of a Timoshenko beam by spatial wavelet based approach. Appl Acoust. 2003;64(12):1217–1240.10.1016/S0003-682X(03)00070-7
   Web of Science ®Google Scholar
• Chang C-C , Chen L-W . Detection of the location and size of cracks in the multiple cracked beam by spatial wavelet based approach. Mech Syst Signal Process. 2005;19:139–155.10.1016/j.ymssp.2003.11.001
   Web of Science ®Google Scholar
• Zhong S , Oyadiji SO . Crack detection in simply supported beams without baseline modal parameters by stationary wavelet transform. Mech Syst Signal Proc. 2007;21:1853–1884.10.1016/j.ymssp.2006.07.007
   Web of Science ®Google Scholar
• Xiang J , Liang M . Wavelet-based detection of beam cracks using modal shape and frequency measurements. Computer-Aided Civ Infrastruct Eng. 2012;27:439–454.10.1111/mice.2012.27.issue-6
   Web of Science ®Google Scholar
• Jaiswal NG , Pande DW . Sensitizing the mode shapes of beam towards damage detection using curvature and wavelet transform. Int J Sci Technol Res. 2015;4(4):266–272.
   Google Scholar
• Algaba M , Solís M , Galvín P . Wavelet based mode shape analysis for damage detection. Proceedings of the 30th IMAC, A Conference on Structural Dynamics. Jacksonville, FL; 2012; p. 377–384.
   Google Scholar
• Solís M , Algaba M , Galvín P . Continuous wavelet analysis of mode shapes differences for damage detection. Mech Syst Signal Process. 2013;40:645–666.10.1016/j.ymssp.2013.06.006
   Web of Science ®Google Scholar
• Cao M , Radzieński M , Xu W , et al. Identification of multiple damage in beams based on robust curvature mode shapes. Mech Syst Signal Process. 2014;46:468–480.10.1016/j.ymssp.2014.01.004
   Web of Science ®Google Scholar
• Kim J-T , Ryu Y-S , Cho H-M , et al. Damage identification in beam-type structures: frequency-based method vs mode-shape-based method. Eng Struct. 2003;25:57–67.10.1016/S0141-0296(02)00118-9
   Web of Science ®Google Scholar
• Chen DM , Xu YF , Zhu WD . Non-model-based multiple damage identification of beams by a continuously scanning laser Doppler vibrometer system. Measurement. 2018;115:185–196.10.1016/j.measurement.2017.09.017
   Web of Science ®Google Scholar
• Chen DM , Xu YF , Zhu WD . Damage identification of beams using a continuously scanning laser Doppler vibrometer system. J Vib Acoustics. 2016;138(5):051011.10.1115/1.4033639
   Web of Science ®Google Scholar
• Xu YF , Zhu WD , Liu J , et al. Identification of embedded horizontal cracks in beams using measured mode shapes. J Sound Vib. 2014;333:6273–6294.10.1016/j.jsv.2014.04.046
   Web of Science ®Google Scholar
• Xiang J , Matsumoto T , Long J , et al. A simple method to detect cracks in beam-like structures. Smart Struct Syst. 2012;9(4):335–353.10.12989/sss.2012.9.4.335
   Web of Science ®Google Scholar
• Xiang J , Matsumoto T , Wang Y , et al. Detect damages in conical shells using curvature mode shape and wavelet finite element method. Int J Mech Sci. 2013;66:83–93.10.1016/j.ijmecsci.2012.10.010
   Web of Science ®Google Scholar
• Xiang J , Nackenhorst U , Wang Y , et al. A new method to detect cracks in plate-like structures with though-thickness cracks. Smart Struct Syst. 2014;14(3):397–418.10.12989/sss.2014.14.3.397
   Web of Science ®Google Scholar
• Jiang YY , Xiang J , Li B , et al. A hybrid multiple damages detection method for plate structures. Sci China Tech Sci. 2017;60(5):726–736.10.1007/s11431-016-9002-0
   Web of Science ®Google Scholar
• Salawu OS . Detection of structural damage through changes in frequency: a review. Eng Struct. 1997;19(9):718–723.10.1016/S0141-0296(96)00149-6
   Web of Science ®Google Scholar
• Cawley P , Adams RD . The location of defects in structures from measurements of natural frequencies. J Strain Anal. 1979;14(2):49–57.10.1243/03093247V142049
   Web of Science ®Google Scholar
• Messina A , Jones IA , Williams EJ . Damage detection and localisation using natural frequency changes. Proceedings of Conference on Identification in Engineering Systems. Swansea, UK; 1996. p. 67–76.
   Google Scholar
• Contursi T , Messina A , Williams EJ . A multiple-damage location assurance criterion based on natural frequency changes. J Vib Control. 1998;4(5):619–633.10.1177/107754639800400505
   Web of Science ®Google Scholar
• Messina A , Contursi T , Williams EJ . Multiple damage evaluation using natural frequency changes. Proceedings of the 15th International Modal Analysis Conference. 1997;1:658–664.
   Google Scholar
• Gillich GR , Praisach ZI . Robust method to identify damages in beams based on frequency shift analysis. Proceedings of SPIE The International Society for Optical Engineering. San Diego, CA; 2012. Vol. 8348, p. 83481D.
   Google Scholar
• Gillich GR , Praisach ZI . Modal identification and damage detection in beam-like structures using the power spectrum and time-frequency analysis. Signal Proc. 2014;96:29–44.10.1016/j.sigpro.2013.04.027
   Web of Science ®Google Scholar
• Gillich GR , Maia NMM , Mituletu IC , et al. Early structural damage assessment by using an improved frequency evaluation algorithm. Latin Am J Solids Struct. 2015;12(12):2311–2329.10.1590/1679-78251795
   Web of Science ®Google Scholar
• Dahak M , Touat N , Benseddiq N . On the classification of normalized natural frequencies for damage detection in cantilever beam. J Sound Vib. 2017 Aug;402(18):70–84.10.1016/j.jsv.2017.05.007
   Google Scholar
• Moradi S , Razi P , Fatahi L . On the application of bees algorithm to the problem of crack detection of beam-type structures. Comput Struct. 2011;89:2169–2175.10.1016/j.compstruc.2011.08.020
   Web of Science ®Google Scholar
• Moradi S , Kargozarfard MH . On multiple crack detection in beam structures. J Mech Sci Technol. 2013;27(1):47–55.10.1007/s12206-012-1230-9
   Web of Science ®Google Scholar
• Moezi SA , Zakeri E , Zare A , et al. On the application of modified cuckoo optimization algorithm to the crack detection problem of cantilever Euler–Bernoulli beam. Comput Struct. 2015;157:42–50.10.1016/j.compstruc.2015.05.008
   Web of Science ®Google Scholar
• Kaminski PC . The approximate location of damage through the analysis of natural frequencies with artificial neural networks. J Proc Mech Eng. 1995;209:117–123.10.1243/PIME_PROC_1995_209_238_02
   Web of Science ®Google Scholar
• Vakil-Baghmisheh M-T , Peimani M , Sadeghi MH , et al. Crack detection in beam-like structures using genetic algorithms. Appl Soft Comput. 2008;8:1150–1160.10.1016/j.asoc.2007.10.003
   Web of Science ®Google Scholar
• Buezas FS , Rosales MB , Filipich CP . Damage detection with genetic algorithms taking into account a crack contact model. Eng Fract Mech. 2011;78:695–712.10.1016/j.engfracmech.2010.11.008
   Web of Science ®Google Scholar
• Meruane V , Heylen W . An hybrid real genetic algorithm to detect structural damage using modal properties. Mech Syst Signal Process. 2011;25:1559–1573.10.1016/j.ymssp.2010.11.020
   Web of Science ®Google Scholar
• Khaji N , Mehrjoo M . Crack detection in a beam with an arbitrary number of transverse cracks using genetic algorithms. J Mech Sci Technol. 2014;28(3):823–836.10.1007/s12206-013-1147-y
   Web of Science ®Google Scholar
• Krawczuk M . Application of spectral beam finite element with a crack and iterative search technique for damage detection. Finite Elem Anal Des. 2002;38:537–548.10.1016/S0168-874X(01)00084-1
   Web of Science ®Google Scholar
• Ding Z , Lu Z , Huang M , et al. Improved artificial bee colony algorithm for crack identification in beam using natural frequencies only. Inverse Prob Sci Eng. 2016;25(2):218–238.
   Web of Science ®Google Scholar
• Boubakir L , Touat N , Kharoubi M , et al. Application of improved accelerated random search algorithm for structural damage detection. Int J Acoust Vib. 2017;22(3):353–368.
   Google Scholar
• Liang RY , Choy FK , Hu J . Detection of cracks in beam structures using measurements of natural frequencies. J Franklin Inst. 1991;328(4):505–518.10.1016/0016-0032(91)90023-V
   Web of Science ®Google Scholar
• Lele SP , Maiti SK . Modelling of transverse vibration of short beams for crack detection and measurement of crack extension. J Sound Vib. 2002;257(3):559–583.10.1006/jsvi.2002.5059
   Web of Science ®Google Scholar
• Rosales MB , Filipich CP , Buezas FS . Crack detection in beam-like structures. Eng Struct. 2009;31:2257–2264.10.1016/j.engstruct.2009.04.007
   Web of Science ®Google Scholar
• Chinchalkar S . Determination of crack location in beams using natural frequencies. J Sound Vib. 2001;247(3):417–429.10.1006/jsvi.2001.3748
   Web of Science ®Google Scholar
• Nikolakopoulos PG , Katsareas DE , Papadopoulos CA . Crack identification in frame structures. Comput Struct. 1991;64(14):389–406.
   Google Scholar
• Owolabi GM , Swamidas ASJ , Seshadri R . Crack detection in beams using changes in frequencies and amplitudes of frequency response functions. J Sound Vib. 2003;265:1–22.10.1016/S0022-460X(02)01264-6
   Web of Science ®Google Scholar
• Dong GM , Chen J , Zou J . Parameter identification of a rotor with an open crack. Eur J Mech A. Solids. 2004;23:325–333.10.1016/j.euromechsol.2003.11.003
   Web of Science ®Google Scholar
• Nahvi H , Jabbari M . Crack detection in beams using experimental modal data and finite element model. Int J Mech Sci. 2005;47:1477–1497.10.1016/j.ijmecsci.2005.06.008
   Web of Science ®Google Scholar
• Swamidas ASJ , Yang X , Seshadri R . Identification of cracking in beam structures using Timoshenko and Euler formulations. J Eng Mech. 2004;130:1297–1308.10.1061/(ASCE)0733-9399(2004)130:11(1297)
   Web of Science ®Google Scholar
• Sinou JJ . Damage assessment based on the frequencies’ ratio surfaces intersection method for the identification of the crack depth location and orientation. Struct Durability Health Monit. 2007;3(3):134–162.
   Google Scholar
• Mazanoglu K , Sabuncu M . A frequency based algorithm for identification of single and double cracked beams via a statistical approach used in experiment. Mech Syst Signal Process. 2012;30:168–185.10.1016/j.ymssp.2012.02.004
   Web of Science ®Google Scholar
• Banerjee A , Panigrahi B , Pohit G . Crack modeling and detection in Timoshenko FGM beam under transverse vibration using frequency contour and response surface model with GA. Nondestr Test Eval. 2016;31:142–164.
   Web of Science ®Google Scholar
• Vable M . Intermediate mechanics of materials. New York (NY): Oxford University Press; 2008.
   Google Scholar
• Avitabile P . Experimental modal analysis: a simple non-mathematical presentation. Sound Vib; 2001;35:20–31.
   Web of Science ®Google Scholar