Abstract
Profile shift has an immense effect on the sliding, load capacity, and stability of involute cylindrical gears. Available standards such as ISO/DIS 6336 and BS 436 DIN/3990 currently give the recommendation for the selection of profile shift coefficients. It is, however, very approximate and usually given in the form of implicit graphs or charts. In this article, the optimal selection values of profile shift coefficients for cylindrical involute spur and helical gears are described, using a differential evolution algorithm. The optimization procedure is developed specifically for exact balancing specific sliding coefficients at extremes of contact path and account for gear design constraints. The obtained results are compared with those of standards and research of other authors. They demonstrate the effectiveness and robustness of the applied method. A substantial improvement in balancing specific sliding coefficients is found in this work.
Highlights
Gear is an important component used as a part of mechanical systems to transmit motion and power between rotating shafts by means of progressive engagement of projections called teeth
The increasing demand for high-strength, efficient, quiet, and high-precision gear design leads to various methods for improvements
The profile shift has an immense effect on the main operating parameters of gear pairs; it can be used in order to optimize the design, according to the special requirements of each problem.[1,2,3]
Summary
Gear is an important component used as a part of mechanical systems to transmit motion and power between rotating shafts by means of progressive engagement of projections called teeth. Henriot[4] had proposed a graphical system required for balanced specific sliding in both gears, which reduces wear and heavy scoring risks at the extremes of contact path. AGMA 913-A 98:1998,11 cited by Mirica and Dobre,[12] recommends the choice of the criterion considered of greatest importance for practice It is the reason why the problem of the distribution of the shift coefficient sum on each gear wheel could be met in the case of the largest used thermal treatment for cylindrical gears of general use: case hardening. To overcome the limitations in the above methods, Pedrero and Artes[1] had developed the approximate equations of the profile shift coefficients in order to equalize specific sliding and pre-established value of the contact ratio.
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