NUMBER OF TEETH IN CONTACT AND LOAD-CAPACITY OF GEAR-TYPE SHAFT COUPLING

A theoretical analysis of the number of teeth in contact of a gear-typ e shaft coupling which has random pitch errors and their load capacity is made based on the statistical theory, and the results are compared with those of a numerical simulation. The results of the theoretical analysis agree well with those of the numerical simulation. The probab ility distribution of the pitch errors and the allowable stress of mat erial of the gear-type shaft-coupling are presumed to be Gaussian. The numerical simulation is carried out; using Gaussian random numbers wh ich correspond to the pitch errors or the allowable stress. The design formulae for calculating the number of teeth in contact and the load capacity are also presented.