Abstract
Considering the effects of profile shift and tooth crack, Time-varying mesh stiffness (TVMS) is determined based on an analytical model and the result accuracy is also verified by Finite element (FE) model. Then, by introducing TVMS into the FE model of a gear rotor system, the combined effects of profile shifted gear pair under positive, negative and zero gear transmission conditions and tooth crack on the system vibration responses are analyzed. The time-domain waveform, frequency spectrum and instantaneous energy at a constant rotational speed are used to indicate the crack feature, and the amplitude frequency response is adopted to display the crack-induced response change. The results show that different modification conditions have great influences on the TVMS due to the change of contact ratio and tooth thickness. The sideband frequency and instantaneous energy both can be adopted to diagnose the tooth crack and evaluate crack levels, and the latter is more sensitive than the former. The amplitude frequency responses of profile shifted gear under small crack condition show slight change compared with those of normal gear, and the change of acceleration is more obvious than that of displacement.
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Recommended by Editor Yeon June Kang
Hui Ma is a professor at the school of Mechanical Engineering and Automation, Northeastern University, China. His research interests include rotor dynamics and fault diagnosis.
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Ma, H., Feng, R., Pang, X. et al. Effects of tooth crack on vibration responses of a profile shifted gear rotor system. J Mech Sci Technol 29, 4093–4104 (2015). https://doi.org/10.1007/s12206-015-0903-6
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DOI: https://doi.org/10.1007/s12206-015-0903-6