BALL BEARING - EHL
Body 1 (ball)
Body 2 (race outer ring)
Young's modulus E
GPa
GPa
Poisson's constant
v
Radius r
x
10
-3
m
10
-3
m
Radium r
y
10
-3
m
10
-3
m
Lubricant viscosity η
0
Pa·s
Viscosity pressure coeff
α
1/GPa
Number of balls z
Rotational speed n
rpm
Bearing load P
N
Effective Young's modulus E'
GPa
Effective contact radius R'
10
-3
m
Semi contact radius a
10
-3
m
Semi contact radium b
10
-3
m
Mean contact pressure p
m
GPa
Max contact pressure p
max
GPa
Viscosity number L
Load number N
Film height number H
Couette flow film thickness h
c
10
-6
m
The lubrication regime in which the bearing operates depends on the rotational speed. At low speed Boundary Lubrication prevails (hc/Ra<1). Representative values for the Ra-value of the ball and raceway are Ra=0.001 and Ra=0.1
μm respectively
. It follows that hc>0.2 results in full film lubrication (EHL: hc/Ra>2). This situation can easily be considered by measuring the electric conduction over the inner and outer ring of the bearing (EHL-high electrical resistance, BL-conduction)
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