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FIGURE 19.26 Attitude angle versus compressibility number for an axial-groove gas bearing, L/D = 2; three evenly spaced axial grooves first groove 60 clockwise from load line. (From Castelli and Pirvics [19.13].)
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19.7.5 Noncircular Gas Journal Bearings For low eccentricity ratios, a noncircular gas bearing has superior stability properties but inferior load capacity when it is compared with a circular gas bearing. At higher eccentricity ratios, the load-carrying capacity of the noncircular gas bearing exceeds that of the circular gas bearing. For applications where load capacity is not an issue (e.g., in vertical-shaft cases), use of a noncircular gas bearing minimizes stability concerns that exist at the lower eccentricity ratios. Pinkus [19.14] has investigated the performance of elliptical and three-lobe gas bearings. It was found that the direction of load application is important to the performance of a noncircular gas bearing. In fact, load-carrying capacity can be optimized by rotating the bearing relative to the load line. The rotation is generally clockwise anywhere from a few degrees to 25 . Table 19.20 presents a comparison of expected eccentricity ratios for given values of S and for circular, elliptical, and three-lobe gas bearings. Higher values of required by the noncircular bearings over the for the circular bearing at the same Sommerfeld number indicate a lower load capacity. Pinkus also presented envelopes of operation. Figure 19.27 is a plot of Som-
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TABLE 19.20 Eccentricity Ratio versus Sommerfeld and Bearing Numbers for Circular, Elliptical, and Three-Lobe Noncircular Gas Bearings
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FIGURE 19.27 Sommerfeld number versus eccentricity ratio for a noncentrally loaded elliptical gas bearing, L/D = 1. (From Pinkus [19.14].)
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merfeld number versus the eccentricity ratio for a noncentrally loaded elliptical gas bearing. The upper set of curves represents the largest for a given S at a particular , and it would be used in an attempt to avoid stability problems. The lower set of curves represents the optimum loading conditions.
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19.8 HYDROSTATIC JOURNAL BEARING DESIGN
Hydrostatic journal bearings (also called externally pressurized bearings) offer large radial load-carrying capacities at all rotational speeds (including zero). They exert very little friction and have controllable stiffness. The principal disadvantage of hydrostatic journal bearings is the cost of the pressurized lubricant supply system. These bearings are widely used in the machine-tool industry.
19.8.1 Classification of Bearings and Components There are basically three types of hydrostatic journal bearings: the single-pad, the multipad, and the multirecess. The various types are depicted in Table 19.21. The main components of a hydrostatic journal bearing are the pad and the lubricant supply system. The pad consists of a recess, or pocket, region and the surrounding land material. The recess is generally deep compared with the film thickness: typically the depth is taken to be 20 times the radial clearance. In sizing the recess, the land width is reduced as much as practical; however, if the land width is too small, edge effects can become significant. These effects can be avoided if the land width is taken to be greater than 100 times the clearance. Pressurized lubricant is provided to each bearing recess through the supply system. This system may be as simple as a direct line between the recess and the supply pump. Bearings using such simple systems are termed noncompensated hydrostatic
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JOURNAL BEARINGS 19.53
JOURNAL BEARINGS
TABLE 19.21 Types of Hydrostatic Journal Bearings
bearings and are frequently used to lift highly loaded journals prior to rotation. In that context they are termed oil lifts. In order for a single pump to deliver lubricant to more than one pad or recess, restrictors (or compensating devices) are required in each supply line. Restrictors limit the flow to each pad, thereby permitting all pads to become activated. Without compensating devices, pad imbalance would occur. Restrictors, then, are used to control the operation of a hydrostatic bearing. There are three common types of restrictors: the capillary tube, the orifice plate, and the flow control valve. Table 19.22 compares these devices. This table was pre-
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