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RESEARCH PAPERS

A Way to Improve the Accuracy of Hobbed Involute Gears

[+] Author and Article Information
Stephen P. Radzevich

 Eaton Automotive, Innovation Center, 26201 Northwestern Highway, Southfield, MI 48076stephenpradzevich@eaton.com, radzevich@hotmail.com

The DG/K method is based on fundamental results obtained in differential geometry of surfaces, and on kinematics of multiparametric motion of a rigid body in the E3 space. The interested reader may wish to go for details to the monograph: Radzevich, S. P., Fundamentals of Surface Generation, Monography, Kiev, Rastan, 2001, 592 pages. (Copy of the monograph is available from The Library of Congress), and to the monograph: Radzevich, S. P., Sculptured Surface Machining on Multi-Axis NC Machine, Monograph, Kiev, Vishcha Shkola, 1991, 192 pages (Copy of the monograph is available from The Library of Congress.)

J. Mech. Des 129(10), 1076-1085 (Oct 19, 2006) (10 pages) doi:10.1115/1.2761919 History: Received July 18, 2006; Revised October 19, 2006

Involute gears are widely used in the design of machines and mechanisms. Performance of gear transmissions, e.g., performance of automobile transmissions, strongly depends upon the accuracy of gears of which the transmission is comprised. The higher the gear accuracy, the higher performance of the gear transmission observed. An increase of accuracy of involute gears reduces vibration of the transmission, and causes lower noise excitation. A significant amount of gears for the needs of the automotive industry is manufactured by hobbing. Reported in this paper is a way to improve the accuracy of hobbed involute gears that requires an appropriate alteration of design parameters of the hob to be applied. The required correction of design parameters of the hob can be computed on the premises of in-depth analysis of kinematic geometry of meshing of the hob and of the work gear, i.e., of design parameters of the hob, as well as an analysis of kinematics of meshing of the gear work and of the hob. An analytical approach for computation of the required alterations in design parameters of the involute hob is reported in the paper. Using commercial software MathCAD/Scientific, numerous computer codes are developed for performing the necessary computations. A numerical example of computation is presented. The reported results of research are ready to put into production.

FIGURES IN THIS ARTICLE
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Copyright © 2007 by American Society of Mechanical Engineers
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References

Figures

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Figure 7

Impact of number of starts Nh of the hob, and of the hob current diameter dy,h on the required precalculated value of the correction Δϕy,h of the hob pressure angle ϕh

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Figure 8

Impact of tooth number of the work gear Ng, and of the hob number of starts Nh on the required precalculated value of the correction ΔCh of the center distance C

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Figure 9

To the computation of the desired deviation Δγh of the hob rake angle γh

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Figure 10

Impact of current diameter dy,h of the hob, and of the hob number of starts Nh on the required precalculated value of the correction Δγh of the hob rake angle γh

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Figure 11

A diagram of regrinding of the involute hob

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Figure 6

To the computation of the desired changes of parameters of kinematic geometry of an involute hob

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Figure 5

Impact of reduction of the hob pitch diameter dy,h on the deviations of the hob base pitch ΔPb,h for the involute hobs having various numbers of starts

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Figure 1

Configuration of the auxiliary rack R with respect to the axis of rotation of an involute hob

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Figure 2

The involute gear hob after being reground

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Figure 3

Impact of the rake angle αh of the hob (module m=10mm, pitch diameter dh=160mm) on the pitch lead deviation Δλh when the number of starts of the hob is Nh=1 (1), Nh=2 (2), Nh=3 (3), Nh=4 (4), Nh=5 (5), Nh=6 (6), and Nh=7 (7)

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Figure 4

Impact of the pitch diameter dy,h of the hob of module m=10mm on the desired value of the hob-setting angle ζh when the number of starts of the hob is Nh=1 (1), Nh=2 (2), Nh=3 (3), Nh=4 (4), Nh=5 (5), Nh=6 (6), and Nh=7 (7)

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