## 3 Experiment
### Results and Discussion  
Performs an inspection of a shaft segment on a camshaft. Keeping the line laser sensor still, operate the control cabinet to rotate the chuck. Measure the measurement point data of the same cross-section on the shaft segment several times with the line laser sensor. Process the measurement point data using the radial circular runout characterization method shown in Figure 6. Ten measurements were made on the same cross-section. The test results are shown in Table 2.  
As can be seen in Table 2, the minimum value of the radial circular runout error of this section is 0.2393 mm, and the maximum value is 0.4470 mm. Therefore, the radial circular runout error of the measured section is 0.4470 mm.  
At the same time, the radial circular runout error of the measured section is measured by CMM, and the measurement result shows that the CMM is 0.4401 mm. The results show that the deviation of the experimental results is less than 5% compared with the measurement results of CMM. The accuracy of the detection system is high, as measured by the CMM. The standard deviation of the ten measurements is 0.069 mm. This shows the good repeatability and stability of the detection system.  
In the measurement of radial circular runout error, the maximum value is generally selected as the measured value of the item, so it is necessary to pay special attention to the deviation between the measured value of the final radial circular runout and the standard value. It can be found that the experimental results perform well within 5%, while the measured value of other sections is less than the maximum value, and the deviation from the maximum value has no impact on the experimental results.  
\begin{table}
\begin{tabular}{c c c c c c c} \hline Number & 1 & 2 & 3 & 4 & 5 & 6 \\ \hline Angle/\({}^{\circ}\) & 15 & 40 & 75 & 70 & 35 & 12 \\ Actual & 7.6262 & 8.1061 & 8.1002 & 8.4614 & 9.3362 & 9.7081 \\ value/mm & 0 & 0 & 0 & 0 & 0 & 0 \\ Y coordinate & \(-\)31.9132 & \(-\)27.1189 & \(-\)11.3209 & 8.6604 & 26.3031 & 33.5255 \\ Z coordinate & \(-\)6.7834 & \(-\)18.9889 & \(-\)31.1040 & \(-\)32.3212 & \(-\)22.0709 & \(-\)8.9831 \\ \hline \end{tabular}
\end{table}
Table 1: Measured values and coordinates of six grating probes.  
\begin{table}
\begin{tabular}{c c c c c c} \hline Number & 1 & 2 & 3 & 4 & 5 \\ \hline Radial circular & & & & & \\ runout/mm & 0.3701 & 0.2393 & 0.3267 & 0.4044 & 0.2651 \\ \hline Number & 6 & 7 & 8 & 9 & 10 \\ \hline Radial circular & & & & & \\ runout/mm & 0.4426 & 0.3638 & 0.4416 & 0.3736 & 0.4470 \\ \hline \end{tabular}
\end{table}
Table 2: Radial circular runout values of ten measurements.  
The experimental results are compared with the radial circular runout tolerance of Figure 1. The radial circular runout tolerance of Figure 1 is generally required to be 0.06 mm, and the experimental measurement result is 0.4470 mm. The main reason for the large difference is the roughness of the surface of the experimental workpiece itself. However, this does not affect the accuracy of the detection system. For CMM, as the current measurement of the highest accuracy of the device, its measurement result as a reference is reasonable.