The function of the gear mechanism is to transmit exactly the rotation angle. This function error, that is, single-flank mesh error is discussed from statistical view point, and the following results are obtained in relation to the inherent gear errors (pitch error and tooth profile error).
(1) If the inherent gear errors are normally distributed, the mesh error is also normally distributed in approximation in any contact ratio.
(2) If one factor causing the errors is dominant, it is no more normal distribution, and the effect of this factor appears characteristically in mesh error spectrum.
(3) The variance of mesh error is proportional to that of inherent gear errors, experimental results show, however, that the actual value is about (2/3-3/2)
2 times of calculated one.
(4) In order to obtain the reliable function error, it is necessary to do the single-flank mesh test, as the usual measurement of inherent gear errors gives insufficient numbers of data to treat those statistically.
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