Abstract：The geometric position of probe is calibrated by a reference sphere on most of mainstream gear measuring instruments. Compared to the reference sphere, the reference mandrel is not only easy to be installed and operated, but also it can detect the static accuracy of the machine tool. So the probe calibration is conducted by the reference mandrel in the process of gear on-machine measurement on a new developed gear grinding. To improve the calibration accuracy of probe position, the calibration of probe geometric position is defined by the least squares method (LSM), which can fit the center of reference mandrel. Simultaneously, the algorithm based on Aitken Δ2 iteration, which is used on the basis of LSM, is built to compensate the error of position produced by LSM. This method replaces the nonlinear fitting iterative process with linear convergent numerical sequence, which not only has a faster convergence rate, but also tends to be stable. The effectiveness of this method can be validated through the experiment of tooth profile evaluation, and it can provide guidance for the geometric position calibration of other gear measurement.
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2024, Vol. 45 
