Abstract

After having described gear wheels with teeth having the two sides constituted by different involutes and their importance in engineering applications, we stress the need for an efficient procedure for the automatic mesh generation of innovative gear teeth. First, we describe the procedure for the subdivision of the tooth profile in the various possible cases, then we show the method for creating the subdivision mesh, defined by two series of curves called meridians and parallels. Finally, we describe how the above procedure for automatic mesh generation is able to solve specific cases that may arise when dealing with teeth having the two sides constituted by different involutes.

Highlights

  • IntroductionIn recent years the studies and applications of gear wheels with teeth having the two sides constituted by different involutes are increasing [1,2,3,4,5]

  • After having described gear wheels with teeth having the two sides constituted by different involutes and their importance in engineering applications, we stress the need for an efficient procedure for the automatic mesh generation of innovative gear teeth

  • We describe how the above procedure for automatic mesh generation is able to solve specific cases that may arise when dealing with teeth having the two sides constituted by different involutes

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Summary

Introduction

In recent years the studies and applications of gear wheels with teeth having the two sides constituted by different involutes are increasing [1,2,3,4,5] These innovative wheels (different pressure angles for the two sides of the tooth: α01 and α02) have some considerable advantages [6]; the tooth is more robust: with other factors being equal, they can transmit a higher torque; on equal torque to be transmitted, their overall size is reduced. The meshing system that we intend to propose is based on the subdivision of the tooth through a network of "meridians" and "parallels": the "meridians" are roughly composed of circular arcs, the "parallels", on the other hand, are curves with a trend similar to that of the tooth profile

Subdivision of the tooth profile
Initial subdivision
First case
Definition by points of the tooth profile
Principle of subdivision of the arcs
Discretization of the profile in the vicinity of angular points
Solution in the event of intersecting arcs
Conclusions
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