Abstract
The transverse crack in a non-uniform shaft possesses different crack modes, and it can affect the propagation characteristics of the elastic waves in the shaft. The influence of the crack mode as well as the location and the depth of the crack and the rotating speed to the propagation characteristics is investigated in this paper. Firstly, the transfer matrix for the elastic wave in a non-uniform shaft is obtained by deducing the local flexibility coefficients of the three typical crack modes, in which the transverse crack is modeled as a local spring. After that, the influence of the crack mode to the propagation characteristics is studied both in a numerical and an experimental way. Finally, the influence of the location and the depth of the transverse crack as well as the rotating speed of the shaft is studied too. It is found that Mode III is the most suitable mode in this paper, the location of the crack will make the stopbands fluctuating, the depth mainly affects the bandwidth of the stopbands, and the increase of the rotating speed will shift up the stopbands without changing the bandwidths. The results can help to detect and locate a transverse crack.
Highlights
Rotating machinery is extensively used in today’s industries such as power plants, automobiles etc. and a crack in the rotating shaft can cause a costly failure, even a significant accident [1]
Mode II and Mode III do exist in a real application, and the crack modes will affect the local flexibility of the transverse crack which is modeled as a local spring, the characteristics of the transfer matrix for the elastic waves will be affected too
The propagation characteristics of the elastic waves propagating in a non-uniform rotating shaft with a transverse crack is studied considering the three individual crack modes in this paper
Summary
Rotating machinery is extensively used in today’s industries such as power plants, automobiles etc. and a crack in the rotating shaft can cause a costly failure, even a significant accident [1]. The authors of this paper studied the propagation characteristics of the elastic waves in a non-uniform shaft by using the transfer matrix method with only considering Mode I [28,29]. Mode II and Mode III do exist in a real application, and the crack modes will affect the local flexibility of the transverse crack which is modeled as a local spring, the characteristics of the transfer matrix for the elastic waves will be affected too. The influence of three typical crack modes, the location and depth of the transverse crack as well as the rotating speed of the non-uniform shaft to the propagation characteristics of the elastic wave is studied in this paper. The relationship between the propagation characteristics and the location, the depth of the crack, as well as the rotating speed are studied both in numerical and experimental ways with the chosen mode.
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