Optimal Tooth Modifications in Hypoid Gears

Author:

Simon Vilmos1

Affiliation:

1. Budapest University of Technology and Economics, Faculty of Mechanical Engineering, Institute of Machine Design, Department of Machine Elements, H-1111 Budapest, Müegyetem rkp. 3, Hungary

Abstract

A method for the determination of optimal tooth modifications in hypoid gears based on improved load distribution and reduced transmission errors is presented. The modifications are introduced into the pinion tooth surface by using a cutter with bicircular profile and optimal diameter. In the optimization of tool parameters the influence of shaft misalignments of the mating members is included. As the result of these modifications a point contact of the meshed teeth surfaces appears instead of line contact; the hypoid gear pair becomes mismatched. By using the method presented in (Simon, V., 2000, “Load Distribution in Hypoid Gears,” ASME J. Mech. Des., 122, pp. 529–535) the influence of tooth modifications introduced on tooth contact and transmission errors is investigated. Based on the results that was obtained the radii and position of circular tool profile arcs and the diameter of the cutter for pinion teeth generation were optimized. By applying the optimal tool parameters, the maximum tooth contact pressure is reduced by 16.22% and the angular position error of the driven gear by 178.72%, in regard to the hypoid gear pair with a pinion manufactured by a cutter of straight-sided profile and of diameter determined by the commonly used methods.

Publisher

ASME International

Subject

Computer Graphics and Computer-Aided Design,Computer Science Applications,Mechanical Engineering,Mechanics of Materials

Reference32 articles.

1. Wildhaber, E. , 1946, “Basic Relationship of Hypoid Gears I-VII,” American Machinist, pp. 108–111; pp. 131–134; pp. 132–135; pp. 110–114; pp. 150–152; pp. 106–110; pp. 104–106; pp. 122–128.

2. Basic Geometry and Tooth Contact of Hypoid Gears;Baxter;Ind. Math.

3. Methods of Synthesis and Analysis for Hypoid Gear-Drives of “Formate” and “Helixform;Litvin;ASME J. Mech. Des.

4. Determination of Settings of a Tilted Head Cutter for Generation of Hypoid and Spiral Bevel Gears;Litvin;ASME J. Mech., Transm., Autom. Des.

5. Computer Aided Corrective Machine Settings for Manufacturing Bevel and Hypoid Gear Sets;Krenzer

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