Abstract
A technique for calculating the failure probability of cylindrical gears with arc-shaped (circular) teeth along the length by their bending endurance is developed. The solution of the problem is obtained using the mathematical apparatus of nonparametric statistics, which provides failure probability calculation regardless of the complexity of the actual and permissible stresses occurring at the teeth root during the gear operation. The failure probability of cylindrical helical gears of the top drive of a drilling rig under medium- and heavy-duty conditions is calculated. Similar calculations are made for cylindrical arc gears having identical wheel dimensions. It is demonstrated that the replacement of cylindrical helical gears with arc gears allows the probability of gear failure due to tooth bending endurance loss to be reduced from 15.38% to 2.63% in heavy-duty use.
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