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STAR – Precision Ball Screw Assemblies

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Average speed and average<br />

bearing load<br />

If the bearing is subject to varying axial<br />

loads over time, the average axial bearing<br />

load can be calculated using formula 21.<br />

If<br />

the speed varies, apply formula 22. In<br />

these formulas, the qi values represent the<br />

discrete time steps in %.<br />

If the radial load Frm varies, calculate the<br />

average radial load in the same manner.<br />

Service life and load safety<br />

factor<br />

Nominal life<br />

The nominal life is calculated as follows:<br />

Static load safety factor<br />

The static load safety factor for machine<br />

tools should not be lower than 4.<br />

Friction<br />

The bearing friction torque M RL is primarily<br />

dependent on the bearing preload. The<br />

influence of the operating load F aB is<br />

insignificant as long as it does not exceed<br />

the limits at which the bearings have zero<br />

clearance. The bearing friction torque M RL<br />

gspecified in the Dimension Tables applies<br />

to the preload generated by means of the<br />

slotted nut tightening torque R aL . The<br />

bearing preload is selected so as to allow<br />

it to remain effective even at high operating<br />

loads and ensure that the bearing has<br />

zero clearance.<br />

RE 83 301/12.99 101<br />

Fam 3 3<br />

F1 n1 nm q1 100<br />

3<br />

F2 n2 nm<br />

q2 100<br />

3<br />

Fn nn nm<br />

qn 100<br />

21<br />

n m<br />

q1 100<br />

q<br />

+ 2 n1 100<br />

n2 qn nn<br />

100 22<br />

L<br />

16666<br />

Lh<br />

n<br />

N RL<br />

C F<br />

3<br />

S 0 = C 0<br />

F 0<br />

M RL n<br />

9.55<br />

23<br />

25<br />

C<br />

F<br />

26<br />

3<br />

24<br />

F am = resulting average<br />

axial load (N)<br />

q = time fraction (%)<br />

n m = average speed (min -1 )<br />

L = nominal life (10 6 revolutions)<br />

in millions of revolutions<br />

L h = nominal life<br />

in operating hours (h)<br />

C = dynamic bearing load rating (N)<br />

n = average speed (min -1 )<br />

F = equivalent bearing load (N)<br />

S 0 = static load safety factor (-)<br />

C 0 = static load rating (N)<br />

F 0 = maximum static<br />

load (N)<br />

The bearing friction torque M RL is measured<br />

at a speed of n = 5 min -1 .<br />

The friction power loss N RL of the bearing<br />

can be calculated using formula 26 .<br />

The various operating speeds n i must be<br />

incorporated in the heat balance as a<br />

function of their time fractions q i .<br />

N RL = friction power loss (W)<br />

n = speed (min -1 )<br />

M RL = bearing friction torque (Nm)

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