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Timken Super Precision Bearings for Machine Tool Applications

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SETTING AND PRELOADING GUIDELINES<br />

TAPERED ROLLER BEARINGS<br />

The optimum operating setting of a bearing system has a<br />

direct influence on the spindle per<strong>for</strong>mance as far as accuracy,<br />

dynamic stiffness, operating temperature and cutting capabilities<br />

are concerned.<br />

An operating setting range between zero and light preload is<br />

generally the optimum value <strong>for</strong> simple dual TS or TSF layouts.<br />

To reach this range, it is important to evaluate the different<br />

parameters that will directly influence the operating setting in order<br />

to determine the cold-mounted setting:<br />

• Rotating speed.<br />

• Applied loads.<br />

• Spindle layout.<br />

• Lubrication system.<br />

• External sources of heat.<br />

This evaluation occurs generally during the testing phase of the<br />

spindle because of the complexity of each individual parameter<br />

and the interaction of all of them during running conditions. At the<br />

same time, it also is important to consider the bearing layout and<br />

particularly the bearing spread to evaluate their effect on bearing<br />

setting.<br />

It has been demonstrated that an optimum bearing spread <strong>for</strong><br />

stiffness exists. In the same way, an optimum spread <strong>for</strong> thermal<br />

stability can be determined should this be the overriding factor.<br />

Under steady-state temperature<br />

conditions, the spindle and<br />

housing temperature is not<br />

uni<strong>for</strong>mly distributed. Generally,<br />

a temperature gradient of 2° C to<br />

5° C (4˚ F to 9˚ F) exists between<br />

the spindle and housing. This<br />

phenomenon is valid <strong>for</strong> any<br />

type of bearing and has a direct<br />

influence on the bearing setting.<br />

In the case of pure radial<br />

bearings, such as cylindrical<br />

roller bearings, the radial setting<br />

will vary proportionally to the<br />

radial temperature gradient without any possibility <strong>for</strong> correction.<br />

The use of tapered roller bearings allows the radial loss of end<br />

play due to the gradient between the spindle and the housing to be<br />

compensated by the axial expansion of the spindle with respect to<br />

the housing through optimization of the bearing spread.<br />

D o1<br />

L<br />

ENGINEERING<br />

Figure 93 shows a graphical way to determine this optimum spread.<br />

To define the optimum spread <strong>for</strong> thermal compensation or to<br />

calculate the effect on setting <strong>for</strong> a given spread in a simple 2TS(F)<br />

bearing system, the designer can use the <strong>for</strong>mula below <strong>for</strong> ferrous<br />

housings and spindles.<br />

Fig. 93. Graphical determination of optimum thermal spread.<br />

Fig. 94. Resulting distance between bearing geometric centerlines.<br />

Loss of end play = 12 x 10 -6 x t x<br />

[ ( K1<br />

Where:<br />

t = temperature difference between shaft /<br />

inner ring rollers and housing /<br />

outer ring ( θ s - θ h )<br />

K 1 and K 2 = respective K factor of bearings 1 and 2<br />

from bearing tables<br />

D o1 and D o2 = respective outer race mean diameter<br />

L = distance between bearings geometric<br />

centerlines<br />

D o2<br />

x<br />

) ( Do2)<br />

Do1 + K2 x<br />

]<br />

- L 0.39 2 0.39 2<br />

(°C)<br />

(mm)<br />

(mm)<br />

A<br />

TIMKEN MACHINE TOOL CATALOG 101

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