Xtc. Man et al., SLOT DEPTH RESOLUTION IN VIBRATION SIGNATURE MONITORING OF BEAMS USING FREQUENCY-SHIFT, The Journal of the Acoustical Society of America, 95(4), 1994, pp. 2029-2037
A major issue in defect detection by vibration monitoring is the resol
ution of defect size. To investigate this issue, a simple structure, n
amely, a beam, was used. A fixture was designed for experimental testi
ng on beams with several classic end conditions. By allowing for the v
ariation of moment of inertia of a slotted beam, a theoretical model w
as developed that fits the experimental data closely. It is shown how
the relationship between slot size and frequency shift can be used to
resolve the question of the minimum detectable crack size. It is concl
uded that slots of the size of critical cracks should be detectable wi
th commercial frequency counters. Finally, the practicalities that mig
ht prevent cracks of such size from being detected are discussed. In t
he present experiment, the minimum slot depth detected was found to be
10% of the beam depth under the particular conditions of our experime
nt.