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Ball and Roller Bearings - Ntn-snr.com

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Load Rating <strong>and</strong> Life<br />

3. Load Rating <strong>and</strong> Life<br />

3.1 Bearing life<br />

Even in bearings operating under normal conditions, the<br />

surfaces of the raceway <strong>and</strong> rolling elements are<br />

constantly being subjected to repeated <strong>com</strong>pressive<br />

stresses which causes flaking of these surfaces to occur.<br />

This flaking is due to material fatigue <strong>and</strong> will eventually<br />

cause the bearings to fail. The effective life of a bearing<br />

is usually defined in terms of the total number of<br />

revolutions a bearing can undergo before flaking of either<br />

the raceway surface or the rolling element surfaces<br />

occurs.<br />

Other causes of bearing failure are often attributed to<br />

problems such as seizing, abrasions, cracking, chipping,<br />

gnawing, rust, etc. However, these so called "causes" of<br />

bearing failure are usually themselves caused by<br />

improper installation, insufficient or improper lubrication,<br />

faulty sealing or inaccurate bearing selection. Since the<br />

above mentioned "causes" of bearing failure can be<br />

avoided by taking the proper precautions, <strong>and</strong> are not<br />

simply caused by material fatigue, they are considered<br />

separately from the flaking aspect.<br />

3.2 Basic rating life <strong>and</strong> basic dynamic load rating<br />

A group of seemingly identical bearings when subjected<br />

to identical load <strong>and</strong> operating conditions will exhibit a<br />

wide diversity in their durability.<br />

This "life" disparity can be accounted for by the<br />

difference in the fatigue of the bearing material itself.<br />

This disparity is considered statistically when calculating<br />

bearing life, <strong>and</strong> the basic rating life is defined as follows.<br />

The basic rating life is based on a 90% statistical model<br />

which is expressed as the total number of revolutions<br />

90% of the bearings in an identical group of bearings<br />

subjected to identical operating conditions will attain or<br />

surpass before flaking due to material fatigue occurs. For<br />

bearings operating at fixed constant speeds, the basic<br />

rating life (90% reliability) is expressed in the total number<br />

of hours of operation.<br />

The basic dynamic load rating is an expression of the<br />

load capacity of a bearing based on a constant load<br />

which the bearing can sustain for one million revolutions<br />

(the basic life rating). For radial bearings this rating<br />

applies to pure radial loads, <strong>and</strong> for thrust bearings it<br />

refers to pure axial loads. The basic dynamic load ratings<br />

given in the bearing tables of this catalog are for bearings<br />

constructed of NTN st<strong>and</strong>ard bearing materials, using<br />

st<strong>and</strong>ard manufacturing techniques. Please consult NTN<br />

Engineering for basic load ratings of bearings constructed<br />

of special materials or using special manufacturing<br />

techniques.<br />

The relationship between the basic rating life, the basic<br />

dynamic load rating <strong>and</strong> the bearing load is given in<br />

formula (3.1).<br />

L 10 C p 3.1<br />

P<br />

where,<br />

p= 3......................For ball bearings<br />

p= 10/3.................For roller bearings<br />

L10 : Basic rating life 10 6 revolutions<br />

C : Basic dynamic rating load, N<br />

(Cr: radial bearings, Ca: thrust bearings)<br />

P : Equivalent dynamic load, N<br />

(Pr: radial bearings, Pa: thrust bearings)<br />

The basic rating life can also be expressed in terms of<br />

hours of operation (revolution), <strong>and</strong> is calculated as<br />

shown in formula (3.2).<br />

L10h 500 f h p 3.2<br />

C<br />

f h f n 3.3<br />

P<br />

f n<br />

33.3 1p 3.4<br />

n<br />

where,<br />

L10h : Basic rating life, h<br />

fh : Life factor<br />

fn : Speed factor<br />

n : Rotational speed, r/ min<br />

n<br />

r/min<br />

60,000<br />

40,000<br />

30,000<br />

20,000<br />

15,000<br />

10,000<br />

8,000<br />

6,000<br />

4,000<br />

3,000<br />

2,000<br />

1,500<br />

1,000<br />

800<br />

600<br />

100<br />

10<br />

400<br />

300<br />

200<br />

150<br />

80<br />

60<br />

40<br />

30<br />

20<br />

15<br />

<strong>Ball</strong> bearings<br />

fn<br />

0.082<br />

0.09<br />

0.12<br />

0.14<br />

0.16<br />

0.18<br />

n<br />

80,000<br />

60,000<br />

40,000<br />

30,000<br />

20,000<br />

15,000<br />

0.20<br />

10,000<br />

0.22<br />

0.24<br />

0.26<br />

0.28<br />

0.30<br />

0.35<br />

0.4<br />

0.5<br />

0.6<br />

0.7<br />

0.8<br />

0.9<br />

1.1<br />

1.2<br />

1.3<br />

1.4<br />

0.10<br />

1.0<br />

1.49<br />

L10h<br />

8,000<br />

6,000<br />

4,000<br />

3,000<br />

2,000<br />

1,500<br />

1,000<br />

900<br />

800<br />

700<br />

600<br />

500<br />

400<br />

300<br />

200<br />

5.4<br />

5 60,000<br />

40,000<br />

4.5<br />

30,000<br />

4<br />

20,000<br />

15,000<br />

3.5<br />

10,000<br />

8,000<br />

3 6,000<br />

2.5<br />

2<br />

1.9<br />

1.8<br />

1.7<br />

1.6<br />

1.5<br />

1.4<br />

1.3<br />

1.2<br />

1.1<br />

fh n fn L10h<br />

1.0<br />

0.95<br />

0.90<br />

0.85<br />

0.80<br />

0.75<br />

0.74<br />

r/min<br />

4,000<br />

3,000<br />

2,000<br />

1,500<br />

1,000<br />

800<br />

600<br />

400<br />

300<br />

200<br />

150<br />

100<br />

80<br />

60<br />

40<br />

30<br />

20<br />

15<br />

10<br />

<strong>Roller</strong> bearings<br />

0.106<br />

0.12<br />

0.14<br />

0.16<br />

0.18<br />

0.20<br />

0.22<br />

0.24<br />

0.26<br />

0.28<br />

0.30<br />

0.35<br />

0.4<br />

0.5<br />

0.6<br />

0.7<br />

0.8<br />

0.9<br />

1.0<br />

1.1<br />

1.2<br />

1.3<br />

1.4<br />

1.44<br />

80,000<br />

60,000<br />

40,000<br />

30,000<br />

20,000<br />

15,000<br />

10,000<br />

8,000<br />

6,000<br />

4,000<br />

3,000<br />

2,000<br />

1,500<br />

1,000<br />

900<br />

800<br />

700<br />

600<br />

500<br />

400<br />

4.6<br />

4.5<br />

4<br />

3.5<br />

3<br />

2.5<br />

2<br />

1.9<br />

1.8<br />

1.7<br />

1.6<br />

1.5<br />

1.4<br />

1.3<br />

1.2<br />

1.1<br />

1.0<br />

0.95<br />

0.90<br />

300 0.85<br />

200<br />

Fig. 3.1 Bearing life rating scale<br />

n<br />

0.80<br />

fh<br />

0.76<br />

A-15

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