Abstract
The paper gives a new method for obtaining the geometrical dimensions of involute spur gears based on the equalization of the efficiencies at the points where the meshing begins and ends. Numerical results in tables and graphical solutions in plots are given, based on the considered rule, for the addendum modifications using the Matlab programming environment. The solutions are obtained for pairs of teeth numbers, when the equalization condition stands, together with the limitations given by the teeth undercut, sharpening and operating pressure angle. DOI: http://dx.doi.org/10.5755/j01.mech.21.6.12480
Highlights
When determining the geometric dimensions of cylindrical spur gears, most often, specific addendum modifications are used
Instead of equalizing the power losses the paper presents a new method to establish the specific addendum modification coefficients using the equalization of the efficiencies, at the A and E points, where the meshing begins and ends
The paper gives a new method for obtaining the geometrical dimensions for involute spur gears based on the equalization conditions of the efficiencies, at the A and E points, where the meshing begins and ends
Summary
When determining the geometric dimensions of cylindrical spur gears, most often, specific addendum modifications are used. Their purpose is to obtain a well defined distance between the axes at the same time ensuring the correct meshing of teeth flanks over a longer time. Compared to [2] this method is considering friction coefficients with distinct values between the teeth flanks at beginning and the end of the contact allowing to study the gear efficiency in a general case. Compared to [3] the method is dealing directly with the efficiency - the most important objective in the field of transmissions – and allows the study of the balanced gear efficiency for various friction coefficients and addendum modifications
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