Research Papers

Dynamic Features of a Planetary Gear System With Tooth Crack Under Different Sizes and Inclination Angles

[+] Author and Article Information
Yimin Shao

e-mail: ymshao@cqu.edu.cn
State Key Laboratory of Mechanical Transmission,
Chongqing University,
Chongqing, 400030, P.R. China

1Corresponding author.

Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received February 5, 2012; final manuscript received October 2, 2012; published online March 28, 2013. Assoc. Editor: Philippe Velex.

J. Vib. Acoust 135(3), 031004 (Mar 28, 2013) (12 pages) Paper No: VIB-12-1026; doi: 10.1115/1.4023300 History: Received February 05, 2012; Revised October 02, 2012

Planetary gears are widely used in the industry due to their advantages of compactness, high power-to-weight ratios, high efficiency, and so on. However, planetary gears such as that in wind turbine transmissions always operate under dynamic conditions with internal and external load fluctuations, which accelerate the occurrence of gear failures, such as tooth crack, pitting, spalling, wear, scoring, scuffing, etc. As one of these failure modes, gear tooth crack at the tooth root due to tooth bending fatigue or excessive load is investigated; how it influences the dynamic features of planetary gear system is studied. The applied tooth root crack model can simulate the propagation process of the crack along tooth width and crack depth. With this approach, the mesh stiffness of gear pairs in mesh is obtained and incorporated into a planetary gear dynamic model to investigate the effects of the tooth root crack on the planetary gear dynamic responses. Tooth root cracks on the sun gear and on the planet gear are considered, respectively, with different crack sizes and inclination angles. Finally, analysis regarding the influence of tooth root crack on the dynamic responses of the planetary gear system is performed in time and frequency domains, respectively. Moreover, the differences in the dynamic features of the planetary gear between the cases that tooth root crack on the sun gear and on the planet gear are found.

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Fig. 1

One-stage planetary gear dynamic model

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Fig. 2

Gear tooth crack model at tooth root [35]

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Fig. 3

Crack depth along tooth width [35]

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Fig. 4

Sun-planet mesh stiffness with Crack1 (Ksp)

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Fig. 5

Sun-planet mesh stiffness with Crack2 (Ksp)

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Fig. 6

Sun-planet mesh stiffness with Crack3 (Ksp)

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Fig. 7

Ring-planet mesh stiffness (Krp)

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Fig. 8

Radial vibration of planet gear No.1 under healthy condition

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Fig. 9

Radial vibration of planet gear No.1 for TRCS: (Bs), (Cs), (Ds) and (Hs) are corresponding to the TRC2 listed in Table 1

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Fig. 10

Trajectory of the sun gear center for TRCS: (Bs), (Cs), (Ds) and (Hs) are corresponding to the TRC2 listed in Table 1

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Fig. 11

Radial vibration of planet gear #1 for TRCP: (Bp), (Cp), (Dp) and (Hp) are corresponding to the TRC2 listed in Table 1

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Fig. 12

Trajectory of the sun gear center for TRCP: (Bp), (Cp), (Dp) and (Hp) are corresponding to the TRC2 listed in Table 1

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Fig. 13

Effect of crack size on the statistic indicators

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Fig. 14

Effect of crack inclination angle on the statistic (for crack cases in Crack3)

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Fig. 15

Frequency spectrum of radial vibration of planet No.1 when a crack seeded in the sun gear

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Fig. 16

Frequency spectrum of radial vibration of planet No.1 when a crack seeded in the planet gear

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Fig. 17

Frequency spectrum of radial vibration of planet #1 with crack case Ds in Crack2: (a) three planets; (b) four planets; (c) five planets; (d) six planets



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