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Timken Super Precision Bearings for Machine Tool Applications

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A<br />

ENGINEERING<br />

BALL BEARINGS<br />

Heat Generation<br />

Low operating temperatures, combined with adequate spindle<br />

rigidity, are important and highly desirable <strong>for</strong> precision machine<br />

tools. This is particularly true <strong>for</strong> high-speed grinding spindles where<br />

the preload of the bearings is the principal load imposed upon them.<br />

Some of the benefits derived from low operating temperatures are<br />

better dimensional stability of the processed work, less need <strong>for</strong><br />

bearing lubrication, prevention of objectionable heat at the external<br />

surfaces of the spindle housing, and elimination of troubles due to<br />

thermal effects on mounting fits and preloads.<br />

Preload and Heat Generation<br />

The heat developed at the bearings under load is a function of the<br />

operating speed and the bearing preload. Preloading is necessary<br />

<strong>for</strong> maximum axial and radial rigidity. Un<strong>for</strong>tunately, if speeds are<br />

increased, the bearing preload may have to be lessened to maintain<br />

proper operating temperatures at the bearing.<br />

For high-speed operation, the bearing preload should be sufficient<br />

to maintain proper rolling friction <strong>for</strong> the balls, but not so high as to<br />

generate excessive heat. In cases where lower operating speeds<br />

are desired, bearing preloads may be increased to obtain additional<br />

bearing rigidity, provided the proper operating temperatures<br />

are maintained. Thus, a balance between heat generation and<br />

spindle rigidity dictates the amount of bearing preload that is<br />

used, commensurate with the operational speed and the bearing<br />

life required.<br />

How bearing preload affects the operating temperature is<br />

illustrated in Figure 69. This graph applies to 207-size, angular<br />

contact, duplexed super precision ball bearings, mounted backto-back.<br />

Curve A is a plot of operating temperature at the bearing<br />

outside diameter <strong>for</strong> the speeds indicated, using bearings with<br />

Approximate Temperature Rise Above Room<br />

100˚ F<br />

90˚ F<br />

80˚ F<br />

70˚ F<br />

60˚ F<br />

50˚ F<br />

40˚ F<br />

30˚ F<br />

20˚ F<br />

10˚ F<br />

0<br />

A<br />

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16<br />

Speed in RPM 1 = 1000<br />

A High Preload<br />

B Low Preload<br />

Fig. 69. Effect of preload on temperature rise.<br />

B<br />

50˚ C<br />

40˚ C<br />

30˚ C<br />

20˚ C<br />

10˚ C<br />

a high built-in preload. Curve B is <strong>for</strong> bearings having a low<br />

preload. The slope of Curve A is much steeper than that of Curve<br />

B. Using bearings with a high preload, the temperature rise at the<br />

bearing outside diameter is 34˚ C (60° F) when operating at 3600 RPM.<br />

For the same temperature rise using bearings with low preload, an<br />

operating speed of 15300 RPM is indicated. There<strong>for</strong>e, it is evident<br />

that <strong>for</strong> higher-speed operation, the bearing preload should be kept<br />

to the minimum necessary to ensure sufficient bearing rigidity.<br />

For workhead spindles, the operating speeds are generally low and<br />

the loading conditions heavy. Maximum radial and axial spindle<br />

rigidity is required under these loads, making increased bearing<br />

preload mandatory.<br />

Bearing Geometry and Heat Generation<br />

It should be noted that a bearing's internal geometry has a major<br />

impact on heat generation. High-speed designs, such as the <strong>Timken</strong><br />

HX Series, incorporate “optimized” internal geometries that balance<br />

load-carrying capacity, stiffness and heat generation.<br />

Heat Dissipation<br />

When ball bearing spindles are grease lubricated, the heat<br />

generated is removed only by conduction through the surrounding<br />

parts. With jet or circulating oil lubrication, generated heat is<br />

dissipated by the oil passing through the bearings as well as by<br />

conduction through the shaft and housing. Both means of removing<br />

heat from the bearings are important, but generally, dissipation<br />

through conduction is less obvious.<br />

As an example, in an oil mist-lubricated grinding spindle, the nose<br />

or wheel-end bearings are fixed and close to the grinding coolant.<br />

The pulley-end or rear bearings are secured axially on the shaft,<br />

but permitted to float laterally in the housing to compensate <strong>for</strong> size<br />

variations due to thermal changes. Heat is conducted away from<br />

the front bearings at a faster rate because of the thermal mass of<br />

the spindle nose and the intimate contact of the outer rings with<br />

the housing shoulder, the end cover and the housing bore. This<br />

condition, coupled with oil mist lubrication and the proximity of the<br />

grinding coolant, takes away generated heat efficiently.<br />

The rear or floating pair of bearings is not so favored. Usually, the<br />

thermal mass of the shaft at the drive-end is not so great. The driveend<br />

possesses some heat-conduction ability, but also receives heat<br />

generated by belt friction. The absence of grinding coolant and<br />

the reduced area of conduction usually results in a slightly higher<br />

operating temperature.<br />

66 TIMKEN MACHINE TOOL CATALOG

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