Abstract

Changing ratio gears are noncircular. It means that if they are combined with a conventional cylindrical gear a changing axis distance will be given. Changing axis distance can generate a lot of difficulties and additional costs in the construction. Our goal was to create changing ratio gears that have cylindrical geometry and interlock with conventional cylindrical gears at a constant axis distance. This can be achieved by applying continuously changing profile shift. Profile shift modifies the diameter of the gears, however it does not have any effect on the ratio; regardless if that is constant or changing. The point of our calculation is that some gears with noncircular rolling curves can have circular pitch curve with the help of changing profile shift.

Highlights

  • Changing ratio noncircular gears are rare machine parts; the application of these elements offers many possibilities

  • In this article we introduce a method that is suitable for creating cylindrical gears with changing ratio with the help of a continuously changing profile shift

  • These special gears can interlock with a conventional cylindrical gear at a constant axis distance

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Summary

Introduction

Changing ratio noncircular gears are rare machine parts; the application of these elements offers many possibilities. There can be a lot more application These special gears can have opened or closed-loop pitch curves and the axis distance can be either constant or changing. Noncircular gears with constant axis distance and closed pitch curves are generally used to create or eliminate alternating angular velocities or torques. Rearranging Eq (3), the first rolling curve in polar coordinate system can be defined as Eq (4) Applying these calculations we created a pair of noncircular gears that eliminates the angular velocity alternation of a 45° deflected cardan joint (Fig. 3). This could be one of the many applications of this kind of gears [8]. C) Fig. 1 Application of noncircular gears: a) kinematic mockup of a special steering mechanism [3], b) Weight balancing mechanism [8], c) Water flow measure equipement [10]

Relation between profile shift and pitch curve slip
Conclusion
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