barcode vb.net 2010 HELICAL GEARS 10.4 in Software

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HELICAL GEARS 10.4
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GEARING
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FIGURE 10.2 Effect of face-contact ratio on noise level. Note that increased helix angles lower the noise level.
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very high helix angles actually tend to reduce the effective contact ratio, and so noise increases. Since helix angles greater than 45 are seldom used and are generally impractical to manufacture, this phenomenon is of academic interest only.
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10.3.2 Load Capacity As a result of the increased total area of tooth contact available, the load capacity of helical gears is generally higher than that of equivalent spur gears. The reason for this increase is obvious when we consider the contact line comparison which Fig. 10.3 shows. The most critical load condition for a spur gear occurs when a single tooth carries all the load at the highest point of single-tooth contact (Fig. 10.3c). In this case, the total length of the contact line is equal to the face width. In a helical gear, since the contact lines are inclined to the tooth with respect to the face width, the total length of the line of contact is increased (Fig. 10.3b), so that it is greater than the face width. This lowers unit loading and thus increases capacity.
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10.3.3 Manufacturing In the design of a gear system, it is often necessary to use a specific ratio on a specific center distance. Frequently this results in a diametral pitch which is nonstandard. If
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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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HELICAL GEARS 10.5
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HELICAL GEARS
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FIGURE 10.3 Comparison of spur and helical contact lines. (a) Transverse section; (b) helical contact lines; (c) spur contact line.
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helical gears are employed, a limited number of standard cutters may be used to cut a wide variety of transverse-pitch gears simply by varying the helix angle, thus allowing virtually any center-distance and tooth-number combination to be accommodated.
10.4 GEOMETRY
When considered in the transverse plane (that is, a plane perpendicular to the axis of the gear), all helical-gear geometry is identical to that for spur gears. Standard tooth proportions are usually based on the normal diametral pitch, as shown in Table 10.1.
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HELICAL GEARS 10.6
GEARING
TABLE 10.1 Standard Tooth Proportions for Helical Gears
It is frequently necessary to convert from the normal plane to the transverse plane and vice versa. Table 10.2 gives the necessary equations. All calculations previously defined for spur gears with respect to transverse or profile-contact ratio, top land, lowest point of contact, true involute form radius, nonstandard center, etc., are valid for helical gears if only a transverse plane section is considered. For spur gears, the profile-contact ratio (ratio of contact to the base pitch) must be greater than unity for uniform rotary-motion transmission to occur. Helical gears, however, provide an additional overlap along the axial direction; thus their profilecontact ratio need not necessarily be greater than unity. The sum of both the profileTABLE 10.2 Conversions between Normal and Transverse Planes
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HELICAL GEARS 10.7
HELICAL GEARS
contact ratio and the axial overlap must, however, be at least unity. The axial overlap, also often called the face-contact ratio, is the ratio of the face width to the axial pitch. The face-contact ratio is given by mF = where PdoF tan o (10.1)
Pdo = operating transverse diametral pitch o = helix angle at operating pitch circle F = face width
Other parameters of interest in the design and analysis of helical gears are the base pitch pb and the length of the line of action Z, both in the transverse plane. These are pb = and
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