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A comparison between the centre-fed and annular thrust bearings in terms of the load coefficient can be clearly seen in Figure 763 The variation of load coefficient with changes in the ratio of the outside to the inside radii is shown The high load coefficient for the centre-fed thrust bearing may not be applicable because of the instability due to the large pocket volume

Thus, an annular thrust bearing can be designed to provide the necessary load capacity and from Figure 760, a combination of two identical bearings would provide an axial stiffness of

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W* 288 75 = 195 = 1053000 lbf/in (184 000 N/mm) (125 ) * 4 h 100 5 10 This stiffness is up to the requirements and represents the maximum stiffness that is in operation near the point of equal clearance for the two thrust bearings However, two annular thrust bearings would require an airflow of 0926 scfm which is in excess of the design allowance Therefore, it may be necessary to increase the air flow rate capacity Another possibility is to consider using a thrust bearing with a central feed hole and a pocket to carry the load in one direction However, this is not possible since the shaft should protrude from the bearing assembly The initial design specifications are presented in Table 76 As the size and the shape of the bearing can be established from a consideration of the load capacity, stiffness, gas flow and friction power, the next crucial step will be to obtain the required jet diameter from Figure 764 The operating conditions are again indicated on the top left corner The diameters are indicated based Fig 763: The optimum load coefficient of thrust bearings [3, 31] on the design clearance and the ratio of the outside to the inside radii The correction factors for the supply pressure and the number of jets in annular bearings are given in Figure 765 It is noted that these figures are very similar to those used in the design of journal bearings The feed hole size and arrangement will have to be determined The ratio of the outside diameter to the pocket diameter is





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30 = 30 10

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Annular thrust bearing Outside Diameter Inside/Pocket Diameter Design Clearance Ultimate Load Airflow 30 in 10 in 00005 in 125 lbf 0463 scfm Combined Axial Stiffness = 1 000 000 lbf / in Combined Airflow = 0926 scfm

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By referring to Figure 764, it can be seen that for a design clearance of 05 10 3 in the jet diameter is 10 10 3 in when b/a is 3 A correction is required since the figure is plotted based on 50 lbf/in2 The multiplication factor is obtained from the vertical axis at the intersection of a supply pressure of 75 lbf/in2 with the curve of Figure 765 (a) The corrected diameter is given as 12 (10 10 3) = 0012 in The influence of pressure, temperature and gas properties on the optimum jet diameter and mass flow is similar to that of the journal bearings, and the related figures can be applied for the design of thrust bearings In this case, multiple jets will be arranged, feeding into a circular groove of radius given by c2 = 10 075 = 075 c = 0866 in The number of feed holes will be determined in the limit by the smallest size that can be drilled Figure 765 (b) shows the variation in feed hole diameter with the number of feed holes The practical choice of most designers would lie between eight and 16 and possibly the best compromise between considerations of aerostatic instability and manufacturing difficulty would be to use 12 feed holes of a 72 10 3 in diameter The final drawing is as shown in Figure 766 Figure 767 and Figure 768 clearly show the use of aerostatic bearings in the work spindle and the grinding spindle, respectively Both the spindles employ aerostatic journal bearings and aerostatic thrust bearings to obtain the various advantages of ultra-precision applications

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