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A study on the relationship between measurement uncertainty and the size of the disk gauge used to calibrate a straightness measuring system

An autonomous method for calibrating the zero difference for the three-point method of surface straightness measurement is presented and discussed with respect to the relationship between the measurement uncertainty and the size of the disk gauge used for calibration. In this method, the disk gauge is used in two steps. In the first step, the disk gauge rotates a few revolutions and moves parallel to three displacement sensors built into a holder. In the second step, the geometrical parameters between the sensors and the disk gauge are acquired, and the zero differences are computed by our recently proposed algorithm. Finally, the uncertainty of the zero differences is analyzed and simulated numerically, and the relationship between the disk gauge radius and the measurement uncertainty is calculated. The use of a disk gauge of larger radius results in smaller uncertainty of straightness measurement.