Abstract
Information is given on the use of cylindrical gears. The influence of the geometry of the transition curve on other parameters is considered. With the development of numerically controlled machines and 3D printing, it becomes possible to manufacture gears with any geometry, in particular, it is possible to manufacture a transition surface with any parameters of the transition curve. The formula for determining the limit diameter is presented. The above formula is valid for gears that do not have undercutting. As can be seen from the obtained formula, the maximum diameter depends on the module, the number of teeth, the angle of the profile, the offset and other parameters of the initial contour. An example of a formed depression of a gear wheel is presented. The results of calculation and modeling of the value of the limit diameter depending on different values of the radius of curvature of the output contour were obtained.
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