## 4 DDSGL Experiment Based on DCMS  
### DDSGL Experiment Scheme Based on DCMS  
The purpose of this paper is to improve the precision and convergence speed of roller size consistency in DDSGL through the proposed DCMS. The leap probability \(k\) and leap space \(S_{n}\) for achieving adequate roller size comparison have been confirmed through the DCMS model. Subsequent tasks involve improving the DDSGL system and conducting relevant lapping verification experiments.  
Figure 11: Extreme difference in cycle times of entire batch of rollers under different controlled mixing parameter conditions.  
To implement DCMS in DDSGL, it is necessary to make corresponding structural changes to the existing system, including the roller distribution mechanism and the double-channel conveyor belt. As shown in Figure 12b, rollers exit from the main lapping machine outlet and enter the roller distribution mechanism through a spring hose. The roller distribution mechanism mainly includes: a servo motor, a traction rope, a swing head, and a slide rail. The servo motor pulls the traction rope, which in turn moves the swing head along the slide rail. One end of the spring hose is installed at the position of the swing head. The movement of the servo motor is controlled to regulate the distribution ratio of rollers between the two channels. The structure of the dual-channel is shown in Figure 12c. The conveyor belt of the cleaning and drying mechanism is changed to two independent motor-driven conveyor belts. Rollers on both conveyor belts pass through the cleaning and drying mechanisms at a set speed, and finally, rollers on both conveyor belts enter the material handling mechanisms at the exit of the cleaning and drying mechanism, merging back into a single line. This operating mode forcibly disrupts the inherent sequence of rollers, achieving roller mixing while avoiding collisions as much as possible.  
Lapping experiments were conducted on the unmixed group and mix groups 1-7 in Table 2. The speed of the two conveyor belts and the motion mode of the distribution mechanism in each group experiment were determined based on the leap probability k, leap space \(S_{nt}\), and Formulas (1) and (2). All other test parameters were kept consistent with Table 1. During processing, the lower lapping disc speed was 4 r/min. Each 500 steps (the total batch quantity) was considered a lapping cycle, lasting approximately 4 min. The total processing time of the lapping experiment was 6 h, with 90 cycles of processing. Every 15 cycles, 10 rollers were randomly collected to test the change in roller diameter over time.  
The batch diameter variation of the rollers was calculated according to the ISO 12297-2021 standard [23]. It represents the difference between the maximum diameter in a single plane of the roller having the largest such diameter and that of the roller having the smallest such diameter in a roller diameter gauge lot. The diameter of the cylindrical rollers was measured using the TRIMOS(tm) Lab Concept 300 length measuring instrument. A cylindrical rollerspecific measurement fixture was designed based on the length measuring instrument and roller shape. Ten rollers were collected every fifteen cycles, and the cylindrical rollers were cleaned with an ultrasonic cleaner before the rollers were measured. The roller surface was then wiped clean and dried to prevent rust. During the measurement, the temperature in the test room was kept constant. The rollers were placed in the test room and left to stand for an hour to minimize diameter measurement errors caused by thermal expansion and contraction due to temperature differences. In the measurement process, the diameter is measured at the three sections of each roller, and the maximum diameter of the three sections of each roller is recorded as the diameter of the roller. Finally, the range of 10 roller diameters is calculated as the batch diameter variation collected this time.