The main factors affecting the elastic deformation of the mill are: roll bending, plaque deformation, roll flattening, deformation of other parts and hydraulic cylinders and the compression deformation of the liquid in the cylinder, of which the first three accounted for the majority of the elasticity of the mill, and these three in the roll deformation accounted for the largest proportion of roll bending and roll flattening can be used to solve the theory of elastic deformation of the roll [ 1 , 10] - for the ordinary four-roll mill roll deformation made The following assumptions are made

① the rolling process is axisymmetric, only half of the work rolls and support rolls need to be analyzed; ② the flattening between the rolls and the flattening of the rolls can be solved by the elastic deformation theory [ 1 , 10].

(ii) The modified semi-infinite body theory of Nakajima is used for the compression between rolls and the compression between the work rolls and the rolled parts; (iii) The rolled parts are isotropic.

(iii) The rolled part is isotropic and incompressible.

④ rolling process work rolls and support rolls throughout the length of the roll body is always maintained in full contact - because the pressure is directly acting on the support roll bearing seat through the pressure screw or hydraulic cylinder, so the force point corresponding to the support roll axis position of the bending and vertical movement of the position of the roll reflects the roll gap position changes, the amount of change expressed by Y s, see equation (1), Y s = Y d +Y wb-f0 +Y ws-f0 - (1) formula In the, Y d for the support roller axis of the deflection deformation; Y wb -f 0 for the center of the roll between the amount of flattening; Y ws-f0 for the center of the work roll flattening amount -

L1 , L2 - the support rolls depressed position deformation L1 , L2 - the support rolls before and after the deformation of the axial position; P - depressed screw force; Y f0 - the support rolls axial displacement; Yr - support rolls axial deflection - the rolling process of the ordinary mill force model shown - the use of the impact of the function method to calculate the elastic deformation of the rolls function method to calculate the elastic deformation of the rolls, you can determine the contact pressure between the work rolls and support rolls transverse distribution, contact pressure between the work rolls and the rolled piece transverse distribution and the transverse distribution of the exit plate thickness - by changing the work roll radius R w, support roll radius Rb, the work roll camber Cw0, support roll camber Cb0, the width of the rolled piece Ws and the magnitude of the rolling force F0 for the calculation, you can get these factors Changes in the elastic deformation of the roll