On the Relation between the Individual Error of a Gear and the Angular Position Error of the Gear

In this paper, the relations between the individual errors of a gear and the angular position error of the gear are studied.The angular position error of a gear can be expressed with a Fourier expansion formula, and the equation which expresses the relation between the pitch error and the angular position error is obtained. From the study following results are obtained.1. In evaluating the angular position error from the individual errors, the essential errors are accumulative pitch error and the tooth profile error. The former is to be used to evaluate the lower harmonics components of the Fourier expansion of the angular position error and the latter is to be used to evaluate the higher harmonics components of it.2. It is not advisable to obtain the maximum value of the accumulative pitch error from the measured values of the individual pitch error. As the measurement error in the individual pitch error measurements are also accumulated and maximum value has largely changed. The value is rather to be obtained from the measured value of z/2 pitch error measurement or from the value of run-out error measurement.