Research Article

Frequency and Vibration Characteristics of High-Speed Gear-Rotor-Bearing System with Tooth Root Crack considering Compound Dynamic Backlash

Table 3

Amplitude of the sideband in θ1 direction.

Crack depth (%)8fm − 6fr2 (Hz)Amplitude (×10−6 m)8fm − 3fr2 (Hz)(a)Amplitude (×10−6 m)8fm + 3fr2 (Hz)(a)Amplitude (×10−6 m)8fm + 6fr2 (Hz)aAmplitude (×10−6 m)

011550≈011775≈012225≈012450≈0
10230.4%
16.2%
0.0913172.0%
10.0%
0.1103159.6%
−24.5%
0.1489130.0%
−43.3%
0.1741
200.30170.30090.38660.4004
300.35030.33090.29180.2270

aThe first line is the frequency of sideband, respectively, and the other lines indicate the growth rate when every crack 10% increases.