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Titlebook: Gears; Volume 1: Geometric Vincenzo Vullo Textbook 2020 Springer Nature Switzerland AG 2020 Gearing.machine design theory.spur gears.helic

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Gears: General Concepts, Definitions and Some Basic Quantities,escribed. The tooth parts and some quantities that characterize the toothing are also described and defined. The first law of gearing to be met to have a constant transmission ratio is also recalled, and the main geometric and kinematic parameters of gear drives, gear pairs, and gear wheels are defi
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The Geometry of Involute Spur Gears, the polar coordinates of any of its current points are given. The parametric equations that describe the position vector as a function of both the involute roll angle and the involute polar angle are also obtained, also defining the tangent and normal vectors as well as their unit vectors. The disc
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Interference Between External Spur Gears,e discussion is quite general and therefore includes involute or primary interference and fillet interference. The relationships of the main geometric quantities that allow to avoid the involute interference in working conditions are obtained and design indications in this regard are provided. The r
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Interference Between Internal Spur Gears,e discussion is quite general and therefore includes the five types of interference that may occur in this case, i.e.: theoretical or primary interference; secondary interference; trimming interference during the radial approach of the pinion when the internal gear pair is assembled, and of the pini
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Profile Shift of Spur Gear Involute Toothing Generated by Rack-Type Cutter,also the technical-applicative interest of the use of this type of profile-shifted toothing The problem is analyzed in its maximum generality, so the cases of zero profile-shifted toothing and of profile-shifted toothing without and with variation of center distance are discussed, both for external
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Profile Shift of External Spur Gear Involute Toothing Generated by Pinion-Type Cutter,ng the interference and undercut problems related to this cutting process of the teeth. The limitations regarding the possibility of making external spur gears with profile-shifted toothing by means of this generation process are described, and the greatest complication of the calculations to be car
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Cylindrical Involute Helical Gears,total length of the line of action. The equivalent parallel cylindrical spur gears and their virtual number of teeth are also determined. The fundamentals of the cylindrical helical gears profile shift are then described, in its most general terms related to the variation of center distance. The loa
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