A Tribo-Dynamic Model of a Helical Gear Pair Based on the Finite Line Contact Theory

Table 1

Parameters of gear and lubricating oil.

Parameters	Specification
Number of teeth, z1, z2	28/56
Normal module, mn (mm)	7
Helix angle, β (°)	14
Tooth width, B (mm)	15
Equivalent elastic modulus, E’ (Gpa)	227
Input torque, T1 (N·m)	500
Environmental viscosity, η0 (Pa·s)	0.004
Lubricating oil density, ρ0 (kg/m^3)	870
Material density of gears, ρ1,2 (kg/m^3)	7850
Specific heat of lubricating oil, cf (J·kg^−1K^−1)	2000
Specific heat of the gear material, c1,2 (J·kg^−1K^−1)	470
Thermal conductivity of lubricating oil, Kf (W/m·K)	0.14
Thermal conductivity of the gear material, K1,2 (W/m·K)	46
Viscous-pressure coefficient, α (Gpa^−1)	2.2
Viscosity-temperature coefficient, βT (K^−1)	0.0476
Environment temperature, T0 (K)	313
Fluid characteristic shear force, τ0 (Mpa)	5