Gear metrology of statistical tolerancing by numerical simulation

摘要

Tolerance verification permits to check the product conformity and to verify assumptionsmade by the designer. For conformity assessment, the uncertainty associated with thevalues of the measurands must be known. In the ISO TS 17450 part 2, the notion of theuncertainty is generalized to the specification and the verification. The uncertainty isdivided into correlation uncertainty, specification uncertainty and measurementuncertainty. Correlation uncertainty characterizes the fact that the intended functionalityand the controlled characteristics may not be perfectly correlated. Therefore, we proposea new specified characteristics based on the statistical tolerancing approach which isdirectly in relationship with the design intent: the probability distribution of maximumrange of the transmission error (the transmission error is the main source of vibratory and acoustic nuisances), and the evaluation of this characteristic based on 3D acquisition by Monte Carlo simulation and Tooth Contact Analysis. Moreover, the measurement uncertainty of the evaluation of this characteristic is estimated by Monte Carlo Simulation.