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Research Papers: Applications

Evaluation of Contact Fatigue Life of a Wind Turbine Gear Pair Considering Residual Stress

[+] Author and Article Information
Heli Liu, Caichao Zhu, Haifeng He, Peitang Wei

State Key Laboratory of Mechanical
Transmissions,
Chongqing University,
Chongqing 400030, China

Huaiju Liu

State Key Laboratory of Mechanical
Transmissions,
Chongqing University,
Chongqing 400030, China
e-mail: huaijuliu@cqu.edu.cn

1Corresponding author.

Contributed by the Tribology Division of ASME for publication in the JOURNAL OF TRIBOLOGY. Manuscript received July 21, 2017; final manuscript received December 27, 2017; published online March 2, 2018. Assoc. Editor: Mihai Arghir.

J. Tribol 140(4), 041102 (Mar 02, 2018) (9 pages) Paper No: TRIB-17-1285; doi: 10.1115/1.4039164 History: Received July 21, 2017; Revised December 27, 2017

Contact fatigue is a main fatigue mode of gears such as those used in wind turbines, due to heavy duties occurring in engineering practice. The understanding of the gear contact fatigue should be based on the interaction between the local material strength and the stress state. Under the rolling–sliding motion, the multi-axial stress state makes the gear contact fatigue problem more complicated. A numerical contact model is proposed to evaluate the contact fatigue life of an intermediate parallel gear stage of a megawatt level wind turbine gearbox. The gear meshing theory is applied to calculate the geometry kinematics parameters of the gear pair. The gear contact is assumed as a plane strain contact problem without the consideration of the influence of the helical angle. The quasi-static tooth surface load distribution is assumed along the line of action. The elastic mechanics theory is used to calculate the elastic stress field generated by surface tractions. The discrete convolute, fast Fourier transformation method is applied to estimate the subsurface stresses distributions. In order to describe the time-varying multi-axial stress states during contact, the Matake, Findley, and Dang Van multi-axial fatigue criteria are used to calculate the critical planes and equivalent stresses. Both the statistic and the deterministic fatigue life models are applied by choosing the Lundberg–Palmgren (LP), Zaretsky models, respectively. The effect of the residual stress distribution on the contact fatigue initiation lives is discussed. In addition, the crack propagation lives are estimated by using the Paris theory.

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Figures

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Fig. 1

Spalling of a wind turbine gear caused by contact fatigue

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Fig. 2

The simplified contact model

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Fig. 3

The calculation domain

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Fig. 4

Distributions of pH, bH and maximum Mises stress along the line of action

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Fig. 5

Distributions of σx, σz, τxz

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Fig. 6

Stress components distributions of pitch point at the depth of 0.5 bH

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Fig. 7

The critical plane and the multi-axial stresses

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Fig. 8

The critical planes of material nodes

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Fig. 9

Short crack propagation mechanism

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Fig. 10

Residual stress measurement of selected gear tooth

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Fig. 11

Two types of residual stress gradient curves and the actual residual stress data points

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Fig. 12

The FP along the direction of depth

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Fig. 13

The equivalent stress along the direction of depth

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Fig. 14

Predicted contact fatigue initiation SN curve of LP (left) and Zaretsky (right) models

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Fig. 15

The equivalent stresses under different residual stresses conditions

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Fig. 16

Predicted contact fatigue initiation SN curve with residual stress

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Fig. 17

Short (left) and long (right) crack propagation life

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