Abstract
An analytical method for determining the compliance of gear teeth, the load distribution factors, and the bending stresses is proposed. To solve the problem about the stress–strain state of the gear tooth, the latter is represented as a wedge with the angle of the roll corresponding to the pressure angle of the involute tooth. The mathematical model of the loaded tooth is given in the form of an inhomogeneous Volterra integral equation with the kernel depending on the difference in the arguments solved by the method of operational calculus. Using the results of the study in strength evaluation of gear trains allows more accurate determination of their loading capacity.
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Translated by E. Oborin
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Nakhatakyan, F.G., Plekhanov, F.I. Studying the Stress–Strain State of Gear Teeth. J. Mach. Manuf. Reliab. 50, 287–293 (2021). https://doi.org/10.3103/S1052618821040099
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DOI: https://doi.org/10.3103/S1052618821040099