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JOURNAL BEARINGS 19.23
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JOURNAL BEARINGS
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It was proposed that the film pressure p be written as a harmonic average of the short-bearing pressure p0 and the long-bearing pressure p , or 1 1 1 = + p p0 p or p= p0 1 + p0 /p
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The pressure and various performance parameters that can be obtained by this combined solution approximation are presented in Table 19.11. Note that several of these parameters are written in terms of two quantities, Is and Ic. Accurate values of these quantities and the Sommerfeld number are displayed in Table 19.12. With the exception of the entrainment flow, which is increasingly overestimated at large and L/D, the predictions of this simple method have been found to be very good. Example 1. Using the Reason and Narang combined solution approximation, determine the performance of a steadily loaded full journal bearing for the following conditions: = 4 10 6 reyn N = 1800 r/min W = 500 lbf D = 1.5 in L = 1.5 in C = 1.5 10 3
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Solution. The unit load is P = W/(LD) = 222 pounds per square inch (psi), and the Sommerfeld number is S= N R P C
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= 0.135
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Entering Table 19.12 at this Sommerfeld number and a slenderness ratio of 1, we find that = 0.582, Ic = 0.2391, and Is = 0.3119. The bearing performance is computed by evaluating various parameters in Table 19.11. Results are compared in Table 19.13 to values obtained by Shigley and Mischke [19.6] by using design charts.
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Design charts have been widely used for convenient presentation of bearing performance data. Separate design graphs are required for every bearing configuration or variation. Use of the charts invariably requires repeated interpolations and extrapolations. Thus, design of journal bearings from these charts is somewhat tedious. Raimondi-Boyd Charts. The most famous set of design charts was constructed by Raimondi and Boyd [19.7]. They presented 45 charts and 6 tables of numerical information for the design of bearings with slenderness ratios of 1 4, 1 2, and 1 for both partial (60 , 120 , and 180 ) and full journal bearings. Consequently, space does not permit all those charts to be presented. Instead a sampling of the charts for bearings with an L/D ratio of 1 is given. Figures 19.8 to 19.13 present graphs of the minimumfilm-thickness variable h0 /C (note that h0 /C = 1 ), the attitude angle (or location of the minimum thickness), the friction variable (R/C)(f), the flow variable Q/(RCNL), the flow ratio Qs /Q, and the temperature-rise variable J C* T/P. Table 19.14 is a tabular presentation of these data.
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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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JOURNAL BEARINGS 19.24
BEARINGS AND LUBRICATION
TABLE 19.11 Pressure and Performance Parameters of the Combined Solution Approximation
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.
JOURNAL BEARINGS 19.25
JOURNAL BEARINGS
TABLE 19.12 Values of Is, Ic, and Sommerfeld Number for Various Values of L/D and
TABLE 19.13 Comparison of Predicted Performance between Two Methods for Example 1
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.
JOURNAL BEARINGS 19.26
BEARINGS AND LUBRICATION
FIGURE 19.8 Minimum film thickness ratio versus Sommerfeld number for full and partial journal bearings, L/D = 1, Swift-Stieber boundary conditions. (From Raimondi and Boyd [19.7].)
FIGURE 19.9 Attitude angle versus Sommerfeld number for full and partial journal bearings, L/D = 1, Swift-Stieber boundary conditions. (From Raimondi and Boyd [19.7].)
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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