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Transient EHL analysis on spur gear teeth with consideration of gear kinematics

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Abstract

Transient 3-dimensional elasto-hydrodynamic lubrication (EHL) analysis is performed on the contacting teeth surfaces of involute spur gears. Kinematics of the gear and the pinion are taken into account to get accurate geometric clearance around the EHL region of the contacting teeth. The surface pressure and film thickness distribution for the whole contact faces in a lubricated condition at several time steps are obtained through the analysis. Besides the pressure spike at the outlet region, a representative phenomenon in EHL regime, the pressure at the inlet region is slightly higher than that of the center region. The film thickness of transient condition is thicker than that of steady condition.

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Abbreviations

a :

Pressure-viscosity coefficient [m2/N]

E :

Effective modulus of elasticity [N/m2]

G :

Dimensionless material parameter, G=aE

H :

Dimensionless film thickness

h :

Film thickness [m]

P :

Dimensionless EHL pressure

p :

EHL pressure [N/m2]

R :

Equivalent radius [m]

R i :

Radius of curvature of gear or pinion tooth [m] (i=1 for gear,i=2 for pinion)

R bi :

Base circle radius of gear or pinion [m]

R ai :

Addendum circle radius of the gear or pinion [m]

R pi :

Pitch circle radius of the gear or pinion [m]

r i :

Radius in polar coordinates [m]

T :

Dimensionless time

t :

Time [s]

U :

Dimensionless velocity parameter

ũ:

Mean surface velocity [m/s]

u i :

Surface velocity of the gear or pinion tooth [m/s]

w :

External load [N]

X, Y :

Dimensionless Cartesian coordinates

x, y :

Global Cartesian coordinates

xi, yi :

Local Cartesian coordinates

Z :

Dimensionless viscosity-pressure index

α:

Pressure angle [rad]

η:

Absolute viscosity [Ns/m2]

η0 :

Absolute viscosity at p=0 [Ns/m2]

\(\bar \eta \) :

Dimensionless absolute viscosity

θi :

Rotation angle of the gear or pinion [rad]

ρ:

Density [Ns2/m4]

ρ0 :

Density atp=0 [Ns2/m4]

\(\bar \rho \) :

Dimensionless density

ω1 :

Angular velocity of the gear [rad/s]

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Authors and Affiliations

  1. School of Mechanical Engineering, Pukyong National University, 608-739, Busan, Korea

    Young-Pil Koo

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  1. Young-Pil Koo
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Koo, YP. Transient EHL analysis on spur gear teeth with consideration of gear kinematics. KSME International Journal 18, 1319–1326 (2004). https://doi.org/10.1007/BF02984246

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  • DOI: https://doi.org/10.1007/BF02984246

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