## 5 Experimental Verification of the Methodology  
Consider the calculation of the optimal number of finishing operations of grinding cold rolling rolls to obtain roughness \(Ra_{0}=0.50\)\(\upmu\)m; \(Ra_{1}=0.025\)\(\upmu\)m. The dimensions of the grinding wheel are \(1600\times 75\times 305\) mm, and the roll dimensions are \(d\times l=690\times 1680\) mm. During grinding in two operations for the example in question, \(G=125\) mm\({}^{1/2}\cdot\)min\({}^{-1}\) (Figure 9). According to Figure 10, we determine the values of the square root with a wheel diameter of 600 mm and a roll diameter of 690 mm, \(\sqrt{D\cdot d/D+d}=18\) (point \(N\)). On the nomogram (Figure 10), we draw from point A the scale of the performance indicator corresponding to the value \(G=125\), through the point \(B\) of the scale of the square root line to the intersection with the auxiliary line \(G\sqrt{D\cdot d/D+d}\) in the point \(C\). From point \(C\) of the auxiliary line through the point of the wheel height scale corresponding to the value \(B=75\) mm, draw the line to the intersection with the performance scale. The resulting point will determine the estimated productivity of the roll finishing process \(Q_{\Omega}=1.6\times 10^{5}\) mm\({}^{2}\cdot\)min\({}^{-1}\). According to Equation (1), we calculate the complexity of finishing the roll. According to the timekeeping conducted at the Kamensk-Ural Metallurgical Plant, the sum of the auxiliary time and the time for organized maintenance of the working time for finishing the roll is: with one finishing operation, 48 min; with two finishing operations, 72 min; and with three finishing operations, 94 min. The time for rest and natural needs according to general technical standards with the accuracy of processing according to the fifth quality is 6% of the operational time, and the preparatory and final time for processing the roll is 8 min. With two finishing operations, the complexity of finishing the roll will be determined:  
\[T_{K}=\frac{3.14\cdot 690\cdot 1680}{1.6\cdot 10^{5}}+72+(22+72)\cdot\frac{6}{1 00}+8=108.3\text{ min} \tag{34}\]  
During the grinding of the roll in one operation, the estimated processing time will be 113 min; when grinding in three operations, it will be 124 min. The estimated processing time of the roll in two operations will be 103 min. Since 103 min \(<\) 113 min and 103 \(<\) 124 min, the optimal variant of the technological process will be the variant with two finishing operations. Table 1 shows the calculated data on the machine time and labor intensity of finishing grinding of rolls of five standard sizes to obtain surface a roughness of \(Ra=0.04-0.02\) in one, two, three, and four operations. The preliminary roughness of the surface is assumed to be equal to \(Ra=0.63\) microns, the dimensions of the wheel are \(B=600\) mm and \(B=75\) mm. Calculations are given under the condition of grinding the roll on the same machine with the rearrangement of grinding wheels. The method of grinding cold rolling rolls with the rearrangement of grinding wheels, compared with the method of grinding  
Figure 10: Nomogram for determining the performance of the grinding process with fine-grained wheels. with the rearrangement of rolls from machine to machine, provides greater roll accuracy, since the installation bases do not change during the roll processing period. For all the considered roll sizes (Table 1) with an increase in the number of finishing operations, the machine processing time of the roll decreases. The labor intensity of the roll processing is the lowest for rolls with dimensions \(d\times l=500\times 740\) mm, \(d\times l=500\times 1200\) mm and \(d\times l=480\times 1680\) mm with one finishing operation; it is lowest for rolls with dimensions \(d\times l=690\times 1680\) mm and \(d\times l=900\times 2800\) mm with two finishing operations.