The radius of the support roller affects the rolling mill's rigidity; the larger the radius, the greater the rigidity. As the support roller radius increases, the deformation of the roller decreases linearly. An increase in the width of the rolled material leads to greater roller deformation, as the entry and exit thicknesses of the rolled material remain unchanged, resulting in an increase in total rolling force and exacerbating roller deformation. The influence of the working roller radius is opposite to that of the support roller radius; a larger working roller radius results in a higher Ys value. The calculation results show that due to the increased diameter of the working roller, the contact arc length increases, thereby increasing the total rolling force and exacerbating the deflection of the support roller, as well as the central flattening of both the support and working rollers. There is a good linear relationship between Ys and the working roller radius, and as the width of the rolled material increases, the roller deformation also increases, with a relationship that is essentially linear.

The influence of support roller crown: The greater the support roller crown, the larger the Ys becomes, and there is a good linear relationship between Ys and the support roller crown. This is because an increase in the support roller crown leads to a greater flattening between rolls, while the deflection of the support roller and the flattening change of the working roll are relatively smaller. On the other hand, as the width of the rolled piece increases, the deformation of the roller also increases, and the relationship is basically linear.

The influence of the roller crown on a specific workpiece width shows a linear relationship between the roller crown and Ys. However, when the workpiece width is less than approximately 1.9 meters, an increase in roller crown results in a higher Ys. Conversely, when the workpiece width is greater than approximately 1.9 meters, a larger roller crown leads to a smaller Ys. At a workpiece width of around 1.9 meters, Ys is essentially unrelated to the roller crown. The calculation results indicate that increasing the roller crown causes an increase in the flattening of the rolls, while simultaneously reducing the deflection of the supporting rolls. Within a certain width range, the change in roll flattening exceeds the change in supporting roll deflection. Beyond this range, the change in roll flattening is less than the change in supporting roll deflection, and the flattening of the working roll remains largely unchanged. The effect of rolling force, calculated with a workpiece width of 1.9 meters, shows a good linear relationship between rolling force and Ys.