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A Modified Wear Model Considering Contact Temperature for Spur Gears in Mixed Elastohydrodynamic Lubrication

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Abstract

In this study, a modified wear model considering contact temperature for spur gears in mixed elastohydrodynamic lubrication (EHL) is proposed. The contact temperature consists of bulk temperature and flash temperature. The bulk temperature is determined by the thermal network model, whereas the flash temperature is estimated through the published method. The bulk temperature, which was rarely included in the previous works, substantially has a considerable influence on the tooth wear in mixed EHL. It is also found that the lower contact temperature contributes to the reduction of gear wear depth. Furthermore, the effects of gear basic geometrical parameter and operating parameter on wear depth are investigated. The results show that the wear depth decreases with the increased tooth width, module, pressure angle and rotational velocity but increases with the surface roughness and torque. It indicates that wear resistance of tooth surfaces can be enhanced by optimising the design parameters of gear drives.

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Abbreviations

B :

Tooth width (mm)

b :

Half contact width (mm)

ϲ :

Specific heat coefficient (J/(kg·K))

E a :

Adsorption heat of lubricant (J/mol)

E eq :

Comprehensive elasticity modulus (Pa)

F n :

Normal meshing force (N)

f c :

Frictional coefficient of asperity contact

G :

Dimensionless elasticity modulus

H :

Surface hardness (GPa)

H c :

Dimensionless central film thickness

H min :

Dimensionless minimum film thickness

h v :

Convective heat transfer coefficient (W/(m2 K))

K :

Dimensionless wear coefficient

k 0 :

Dimensional wear coefficient (m2/N)

L a :

Asperity contact ratio (%)

n i :

Rotational speed (rpm)

P ei :

Peclet coefficients

p :

Contact pressure (Pa)

p a :

Asperity contact pressure (Pa)

q :

Heat flux (W/m2)

R :

Curvature radius (mm)

R a :

Surface roughness (μm)

R g :

Molar gas constant (J/mol)

[R] :

Thermal resistance matrix

S e :

Area of convective heat transfer (mm2)

S hj :

Area of heat conduction along tooth thickness (mm2)

S mi :

Area of involute tooth surface (mm2)

S tj :

Area of heat conduction along tooth height (mm2)

s :

Relative sliding distance (mm)

[T] :

Temperature matrix

T a :

Ambient temperature (K)

T B :

Bulk temperature (K)

T s :

Contact temperature (K)

t 0 :

Basic time of molecular vibration (s)

U :

Dimensionless rolling speed

u i :

Tangential velocity (mm/s)

u r :

Rolling speed (mm/s)

u s :

Relative sliding speed (mm/s)

V :

Dimensionless surface hardness

V′ :

Wear volume (mm3)

W :

Dimensionless load

W a :

Normal load (N)

X :

Diameter of the lubricant molecule (mm)

[Ф] :

Heat flow matrix

ΔT :

Flash temperature (K)

α c :

Pressure-viscosity coefficient (Pa−1)

β :

Heat flux density distribution coefficient

\( \bar{\sigma } \) :

Dimensionless surface roughness

λ i :

Heat conduction coefficient (W/(m K))

ν :

Poisson ratio

γ :

Thermal conversion coefficient

ρ :

Material density coefficient (kg/m3)

μ 0 :

Lubricating oil viscosity (Pa s)

Λ :

Film thickness ratio

τ lim :

Limiting shear stress (Pa)

1,2:

Driving gear, driven gear

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Acknowledgements

The authors gratefully acknowledge the support by the National Natural Science Foundation of China (NSFC) through Grant No. 51675168, and Natural Science Foundation of Hunan Province 2019JJ40020, and Open Research Fund of State Key Laboratory of High Performance Complex Manufacturing, Central South University Kfkt2017-10.

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Authors and Affiliations

  1. State Key Laboratory of Advanced Design and Manufacture for Vehicle Body, Hunan University, Changsha, 410082, People’s Republic of China

    Changjiang Zhou, Mingcai Xing & Bo Hu

  2. Hunan Provincial Key Laboratory of Intelligent Manufacturing Technology for High-performance Mechanical Equipment, Changsha University of Science and Technology, Changsha, 410114, People’s Republic of China

    Bo Hu

  3. College of Mechanical Engineering and Applied Electronics Technology, Beijing University of Technology, Beijing, 100124, People’s Republic of China

    Zhaoyao Shi

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  1. Changjiang Zhou
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Correspondence to Changjiang Zhou or Bo Hu.

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Zhou, C., Xing, M., Hu, B. et al. A Modified Wear Model Considering Contact Temperature for Spur Gears in Mixed Elastohydrodynamic Lubrication. Tribol Lett 68, 110 (2020). https://doi.org/10.1007/s11249-020-01350-5

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