Abstract
Successive editions of Henriot’s treatise on gears, and an AFNOR document, present an approximate procedure for the choice of profile shift values for the pinion and wheel when a center distance value is imposed in a cylindrical gear pair. That procedure aims at achieving an approximate balancing of the maximum specific sliding values of the pinion and of the wheel. The method involves a loosely defined choice of an auxiliary parameter, but no information is available relating this choice with the level of attainment of the intended balancing of maximum specific sliding values. This assessment, if needed, requires a subsequent analysis for verification.Since no information is available evaluating the procedure, the purpose of this work is to provide a thorough rigorous analysis of the method, highlighting its qualities but also its shortcomings.
Highlights
Imposition of a given center distance, a’, involves the selection of appropriate profile shift values x1, and x2
For a given choice of center distance, a’, this selection may be made in accordance with an approximate, simplified procedure discussed by Henriot and published by AFNOR
The approximate solution mentioned is compared with the analytical solution for balancing the maximum specific sliding values
Summary
Imposition of a given center distance, a’, involves the selection of appropriate profile shift values x1 (pinion), and x2 (wheel). For a given choice of center distance, a’, this selection may be made in accordance with an approximate, simplified procedure discussed by Henriot and published by AFNOR. This article begins with a brief introduction stating the problem and presenting the methodology used to determine the profile shift values, x1 and x2, in the imposed center distance problem. This is followed by the problem formulation, establishing an alternative approach to determine x1 and x2.
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