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Needle Roller Bearings - Ntn-snr.com

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Calculation of Bearing Loads<br />

NTN<br />

3.3 Mean load<br />

The loads acting on bearings used in ordinary<br />

machines fluctuate mostly depending on the<br />

predetermined operation cycle or work plan. In such a<br />

case, the mean load Fm converted so the same lifetime is<br />

assigned to the bearings is used as the bearing load.<br />

(3) Load fluctuating in nearly linear form<br />

The mean load Fm can be determined approximately by<br />

formula (3.14).<br />

Fmin2Fmax<br />

Fm<br />

3<br />

(3.14)<br />

(1) Stepped fluctuating load<br />

Where bearing loads F1 , F2 ....... Fn act on and the<br />

rotational speed and running time are n1, n2.......nn and<br />

t1, t2....... tn respectively, the mean load Fm of these<br />

loads can be expressed in formula (3.12).<br />

F<br />

Fmax<br />

Fm<br />

Fi p ni ti 1p<br />

Fm (3.12)<br />

ni ti<br />

Fmin<br />

where:<br />

p103<br />

p3<br />

for roller bearing<br />

for ball bearing<br />

Fig. 3.10 Load fluctuating in linear form<br />

t<br />

F<br />

F1<br />

F2<br />

Fm<br />

(4) Sinusoidal fluctuating load<br />

The mean load Fm, can be determined approximately by<br />

formulas (3.15), (3.16).<br />

case of (a) Fm0.75Fmax (3.15)<br />

case of (b) Fm0.65Fmax (3.16)<br />

Fn<br />

n1 t1<br />

n2t2<br />

nn tn<br />

Fig. 3.8 Stepped fluctuating load<br />

F<br />

Fmax<br />

(2) Consecutive series load<br />

Where load is load cycle "to" and it can be expressed in<br />

the function F(t) of time t, the mean load can be<br />

expressed in formula (3.13).<br />

1 t0 p<br />

Fm Ftp dt<br />

(3.13)<br />

t0 0<br />

F<br />

Fm<br />

a<br />

t<br />

Fmax<br />

F<br />

Fm<br />

F(t)<br />

Fm<br />

b<br />

t<br />

0 to 2to t<br />

Fig. 3.11 Sinusoidal fluctuating load<br />

Fig. 3.9 Load fluctuating as a time function<br />

A-23

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