Synthesis of Spiral Bevel Gear Transmissions With a Small Shaft Angle

[+] Author and Article Information
Vladimir I. Medvedev, Andrey E. Volkov

Chair of Theoretical Mechanics,  Moscow State University of Technology “STANKIN”, 3A, Vadkovsky per., Moscow, 101472, Russia

J. Mech. Des 129(9), 949-959 (Aug 03, 2006) (11 pages) doi:10.1115/1.2748448 History: Received January 30, 2006; Revised August 03, 2006

An algorithm for synthesis of spiral bevel gear transmissions with a small shaft angle is presented. The algorithm of synthesis provides machine-tool settings with account of design limits for majority of gear generating machines. The proposed algorithm makes it possible to decrease the dimensions of machines that are used for gear and pinion tooth generation. The computer program of synthesis is developed that is based on described algorithm. Recommendations on selection of proper synthesis parameters are presented. An example of synthesis and analysis of a transmission is considered.

Copyright © 2007 by American Society of Mechanical Engineers
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Figure 1

Machine-tool settings in the process of spiral bevel gear tooth surface generation

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Figure 2

Coordinate systems applied for (a) determination of pressure and spiral angles and (b) determination of an arbitrary surface point P

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Figure 10

Stress distribution over tooth cross-section in the vicinity of fillet surface

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Figure 3

Parameters of synthesis: (a) considering point location and (b) inclination of contact path and major axis of contact ellipse

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Figure 4

Relative location of pinion and gear

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Figure 5

Toplands and sections by a pitch cones: (a) gear, single setting method, d0=304.8mm; (b) gear, single setting method, d0=457.2mm; (c) pinion, single-side–single-side method, d0=304.8mm; and (d) gear, single-side–single-side method, d0=304.8mm

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Figure 6

Computer simulation of testing of the transmission under a slight load

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Figure 7

Bearing contact of tooth surfaces

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Figure 8

Change of maximum contact pressure during meshing (to the left) and change of force that is transmitted by a pair of teeth (to the right)

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Figure 9

Instantaneous contact area (to the top) and the distribution of maximal major principal tensile stress along the gear tooth



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