Detection of cracks in mechanical components as early as possible enables monitoring structural health and scheduling efficiently the maintenance tasks such as replacing the critical parts just in time. Vibration analysis based techniques for crack detection have been largely considered in the framework of beam-like structures. This methodology relies essentially on the observed changes of beam frequencies and mode shapes induced by the presence of damage. In the present work, using an explicit analytical model assessing the effect of a crack on beam strain energy, the beam first resonance frequencies as they depend on a single crack defect characteristics were evaluated. The crack equations were obtained by means of fracture mechanics approach. Variations of the first beam frequencies and modes shapes were then related explicitly to the location and depth of the crack. Measuring the beam frequency changes and monitoring their variations can be used to perform identification of the crack defect parameters by solution of an inverse problem.
Owolabi G. M., Swamidas A. S. J., Seshadri R. (2003), Crack detection in beams using changes in frequencies and amplitudes of frequency response functions. Journal of Sound and Vibration, 265(1), 1–22.
Seshadri R. , 'Crack detection in beams using changes in frequencies and amplitudes of frequency response functions ' (2003 ) 265 Journal of Sound and Vibration : 1 -22 .
Lee J. (2009), Identification of multiple cracks in a beam using vibration amplitudes. Journal of Sound and Vibration, 326(1–2), 205–212.
Lee J. , 'Identification of multiple cracks in a beam using vibration amplitudes ' (2009 ) 326 Journal of Sound and Vibration : 205 -212 .
Jassim Z. A., Ali N. N., Mustapha F., Abdul Jalil N. A. (2013), A review on the vibration analysis for a damage occurrence of a cantilever beam. Engineering Failure Analysis, 31, 442–446.
Abdul Jalil N. A. , 'A review on the vibration analysis for a damage occurrence of a cantilever beam ' (2013 ) 31 Engineering Failure Analysis : 442 -446 .
Moradi S., Kargozarfard M. H. (2013), On multiple crack detection in beams structures. Journal of Mechanical Sciences Technology, 27(1), 47–55.
Kargozarfard M. H. , 'On multiple crack detection in beams structures ' (2013 ) 27 Journal of Mechanical Sciences Technology : 47 -55 .
Gudmundson P. (1982), Eigenfrequency changes of structures due to cracks, notches or other geometrical changes. Journal of Mechanics and Physics of Solids, 30(5), 339–353.
Gudmundson P. , 'Eigenfrequency changes of structures due to cracks, notches or other geometrical changes ' (1982 ) 30 Journal of Mechanics and Physics of Solids : 339 -353 .
Gudmundson P. (1983), The dynamic behaviour of slender structures with cross-sectional cracks. Journal of the Mechanics and Physics of Solids, 31(4), 329–345.
Gudmundson P. , 'The dynamic behaviour of slender structures with cross-sectional cracks ' (1983 ) 31 Journal of the Mechanics and Physics of Solids : 329 -345 .
Dimarogonas A. D. (1996), Vibration of cracked structures: a state of the art review. Engineering Fracture Mechanics, 55(5), 831–857.
Dimarogonas A. D. , 'Vibration of cracked structures: a state of the art review ' (1996 ) 55 Engineering Fracture Mechanics : 831 -857 .
Papadopoulos C. A. (2008), The strain energy approach for modelling cracks in rotors: a state of the art review. Mechanical Systems and signal Processing, 22(4), 763–789.
Papadopoulos C. A. , 'The strain energy approach for modelling cracks in rotors: a state of the art review ' (2008 ) 22 Mechanical Systems and signal Processing : 763 -789 .
Qian G. L., Gu S. N., Jiang J. S. (1990), The dynamic behavior and crack detection of a beam with a crack. Journal of Sound and Vibration, 138(2), 233–243.
Jiang J. S. , 'The dynamic behavior and crack detection of a beam with a crack ' (1990 ) 138 Journal of Sound and Vibration : 233 -243 .