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BEARINGS AND LUBRICATION
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TABLE 18.1 Coefficients of Friction
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Rolling-contact bearings use balls and rollers to exploit the small coefficients of friction when hard bodies roll on each other. The balls and rollers are kept separated and equally spaced by a separator (cage, or retainer). This device, which is essential to proper bearing functioning, is responsible for additional friction. Table 18.1 gives friction coefficients for several types of bearings [18.1]. Consult a manufacturer s catalog for equations for estimating friction torque as a function of bearing mean diameter, load, basic load rating, and lubrication detail. See also Chap. 20. Permissible speeds are influenced by bearing size, properties, lubrication detail, and operating temperatures.The speed varies inversely with mean bearing diameter. For additional details, consult any manufacturer s catalog. Some of the guidelines for selecting bearings, which are valid more often than not, are as follows:
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Ball bearings are the less expensive choice in the smaller sizes and under lighter loads, whereas roller bearings are less expensive for larger sizes and heavier loads. Roller bearings are more satisfactory under shock or impact loading than ball bearings. Ball-thrust bearings are for pure thrust loading only. At high speeds a deepgroove or angular-contact ball bearing usually will be a better choice, even for pure thrust loads. Self-aligning ball bearings and cylindrical roller bearings have very low friction coefficients. Deep-groove ball bearings are available with seals built into the bearing so that the bearing can be prelubricated to operate for long periods without attention. Although rolling-contact bearings are standardized and easily selected from vendor catalogs, there are instances of cooperative development by customer and vendor involving special materials, hollow elements, distorted raceways, and novel applications. Consult your bearing specialist.
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It is possible to obtain an estimate of the basic static load rating Cs. For ball bearings, Cs = Mnbd 2 b For roller bearings, Cs = Mnr led (18.2) (18.1)
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Downloaded from Digital Engineering Library @ McGraw-Hill (www.digitalengineeringlibrary.com) Copyright 2004 The McGraw-Hill Companies. All rights reserved. Any use is subject to the Terms of Use as given at the website.
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where Cs = nb = nr = db = d= le =
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basic static loading rating, pounds (lb) [kilonewtons (kN)] number of balls number of rollers ball diameter, inches (in) [millimeters (mm)] roller diameter, in (mm) length of single-roller contact line, in (mm)
Values of the constant M are listed in Table 18.2.
TABLE 18.2 Value of Constant M for Use in Eqs. (18.1) and (18.2)
18.2 LOAD-LIFE RELATION FOR CONSTANT RELIABILITY
When proper attention is paid to a rolling-contact bearing so that fatigue of the material is the only cause of failure, then nominally identical bearings exhibit a reliability life-measure curve, as depicted in Fig. 18.13. The rating life is defined as the life measure (revolutions, hours, etc.) which 90 percent of the bearings will equal or exceed. This is also called the L10 life or the B10 life. When the radial load is adjusted so that the L10 life is 1 000 000 revolutions (r), that load is called the basic load rating C (SKF Industries, Inc.). The Timken Company rates its bearings at 90 000 000. Whatever the rating basis, the life L can be normalized by dividing by the rating life L10. The median life is the life measure equaled or exceeded by half of the bearings. Median life is roughly 5 times rating life. For steady radial loading, the life at which the first tangible evidence of surface fatigue occurs can be predicted from F aL = constant (18.3)
where a = 3 for ball bearings and a = 10 3 for cylindrical and tapered-roller bearings. At constant reliability, the load and life at condition 1 can be related to the load and life at condition 2 by Eq. (18.3). Thus
a F a L1 = F 2 L2 1
(18.4)
If F1 is the basic load rating C10, then L1 is the rating life L10, and so C10 = L L10
(18.5)
Downloaded from Digital Engineering Library @ McGraw-Hill (www.digitalengineeringlibrary.com) Copyright 2004 The McGraw-Hill Companies. All rights reserved. Any use is subject to the Terms of Use as given at the website.
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