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10.1 INTRODUCTION
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Helical gearing, in which the teeth are cut at an angle with respect to the axis of rotation, is a later development than spur gearing and has the advantage that the action is smoother and tends to be quieter. In addition, the load transmitted may be somewhat larger, or the life of the gears may be greater for the same loading, than with an equivalent pair of spur gears. Helical gears produce an end thrust along the axis of the shafts in addition to the separating and tangential (driving) loads of spur gears. Where suitable means can be provided to take this thrust, such as thrust collars or ball or tapered-roller bearings, it is no great disadvantage. Conceptually, helical gears may be thought of as stepped spur gears in which the size of the step becomes infinitely small. For external parallel-axis helical gears to
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10.1 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.
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HELICAL GEARS 10.2
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GEARING
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mesh, they must have the same helix angle but be of different hand. An externalinternal set will, however, have equal helix angle with the same hand. Involute profiles are usually employed for helical gears, and the same comments made earlier about spur gears hold true for helical gears. Although helical gears are most often used in a parallel-axis arrangement, they can also be mounted on nonparallel noncoplanar axes. Under such mounting conditions, they will, however, have limited load capacity. Although helical gears which are used on crossed axes are identical in geometry and manufacture to those used on parallel axes, their operational characteristics are quite different. For this reason they are discussed separately at the end of this chapter. All the forthcoming discussion therefore applies only to helical gears operating on parallel axes.
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10.2 TYPES
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Helical gears may take several forms, as shown in Fig. 10.1: 1. 2. 3. 4. Single Double conventional Double staggered Continuous (herringbone)
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Single-helix gears are readily manufactured on conventional gear cutting and grinding equipment. If the space between the two rows of a double-helix gear is wide enough, such a gear may also be cut and ground, if necessary, on conventional equipment. Continuous or herringbone gears, however, can be cut only on a special shaping machine (Sykes) and usually cannot be ground at all. Only single-helix gears may be used in a crossed-axis configuration.
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10.3 ADVANTAGES
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There are three main reasons why helical rather than straight spur gears are used in a typical application. These are concerned with the noise level, the load capacity, and the manufacturing.
10.3.1 Noise Helical gears produce less noise than spur gears of equivalent quality because the total contact ratio is increased. Figure 10.2 shows this effect quite dramatically. However, these results are measured at the mesh for a specific test setup; thus, although the trend is accurate, the absolute results are not. Figure 10.2 also brings out another interesting point. At high values of helix angle, the improvement in noise tends to peak; that is, the curve flattens out. Had data been obtained at still higher levels, the curve would probably drop drastically. This is due to the difficulty in manufacturing and mounting such gears accurately enough to take full advantage of the improvement in contact ratio. These effects at
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HELICAL GEARS 10.3
HELICAL GEARS
FIGURE 10.1 Terminology of helical gearing. (a) Single-helix gear. (b) Double-helix gear. (c) Types of double-helix gears: left, conventional; center, staggered; right, continous or herringbone. (d) Geometry. (e) Helical rack.
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