02.12.2012 Aufrufe

certific at e - NOC international

certific at e - NOC international

certific at e - NOC international

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Friction<br />

Friction<br />

Friction of roller bearings is low. Different types of friction may occur, depending on design and oper<strong>at</strong>ing conditions.<br />

You should make <strong>at</strong> least a rough calcul<strong>at</strong>ion of the different types of friction. The following friction types are<br />

involved:<br />

• Rolling friction<br />

• Kinetic friction<br />

• Lubricant friction<br />

It is advisable to determine the friction he<strong>at</strong> gener<strong>at</strong>ed as to select the lubric<strong>at</strong>ion system, lubricant, and speed limit,<br />

if any.<br />

Friction torque estim<strong>at</strong>e<br />

The friction may be roughly calcul<strong>at</strong>ed as follows<br />

d<br />

M R = µ · F · — [Nmm]<br />

2<br />

M R total friction moment [Nmm]<br />

µ friction factor<br />

2 2<br />

+ Fa [N]<br />

F resulting bearing load F = F Fr<br />

d bore bearing bore diameter [ mm ]<br />

The friction factors listed in the following table apply for the bearing types used:<br />

Friction coefficients<br />

Friction energy is calcul<strong>at</strong>ed as follows:<br />

Bearing design Friction factor µ<br />

Deep groove ball bearings 0,0015<br />

Angular contact ball bearings, single row 0.0020<br />

Angular contact ball bearings, double row 0.0024<br />

Four point bearings 0,0024<br />

Cylindrical roller bearings 0.0013<br />

Cylindrical roller bearings, cageless 0.0020<br />

Axial cylindrical roller bearings 0,0040<br />

Tapered roller bearings 0.0018<br />

Double row spherical roller bearings 0.0020<br />

NR =<br />

. . . -4<br />

MR n 1,047 10 [W]<br />

NR total friction he<strong>at</strong><br />

M R estim<strong>at</strong>ed total friction moment [Nmm]<br />

n oper<strong>at</strong>ing speed [rpm]<br />

If needed, determine the components of the roughly calcul<strong>at</strong>ed friction moment separ<strong>at</strong>ely. Split down into the following<br />

components::<br />

Load independent friction moment<br />

M 0 = f 0<br />

M 0 = f 0<br />

. -7 . 2/3 . 3 .<br />

10 (ν n) dm für ν n ≥ 2000 [Nmm]<br />

. . 2/3 . 3 -7 .<br />

160 (ν n) dm 10 für ν n < 2000 [Nmm]<br />

M 0 load dependent friction moment [Nmm]<br />

f 0<br />

coefficent for bearing design and lubric<strong>at</strong>ion conditions<br />

ν oper<strong>at</strong>ing viscosity of the lubric<strong>at</strong>ing oil or of the basic<br />

oil of the lubric<strong>at</strong>ing grease, respectively [mm 2 /s]<br />

n speed [rpm]<br />

D+d<br />

d m reference diameter d m = ———<br />

2<br />

[mm]<br />

Use the following values for factor f0 : If minimum oil lubric<strong>at</strong>ion is used (e. g. oil mist lubric<strong>at</strong>ion), multiply the factors<br />

fo by 0.4 ... 0.6.

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