Elastic deformation analysis of roller
Published:
2023-03-01
The main factors affecting the elastic deformation of the rolling mill are: roll bending, memorial archway deformation, roll flattening, deformation of other parts and compression deformation of hydraulic cylinder and liquid in the cylinder. The first three items account for the majority of the rolling mill elasticity, and the roll deformation accounts for the largest proportion of these three items. The roll bending and roll flattening can be solved by using the roll elastic deformation theory [1, 10] · For the roll deformation of ordinary four high rolling mill, the following assumptions are made:
The main factors affecting the elastic deformation of the rolling mill are: roll bending, memorial archway deformation, roll flattening, deformation of other parts and compression deformation of hydraulic cylinder and liquid in the cylinder. The first three items account for the majority of the rolling mill elasticity, and the roll deformation accounts for the largest proportion of these three items. The roll bending and roll flattening can be solved by using the roll elastic deformation theory [1, 10] · For the roll deformation of ordinary four high rolling mill, the following assumptions are made:
① The rolling process is axisymmetric, and only half of the working and backup rollers need to be taken for analysis;
② The modified semi infinite body theory of Nakajima is used for inter roll flattening and work roll and workpiece flattening;
③ The rolled piece is isotropic and incompressible;
④ During the rolling process, the working roller and the backup roller always maintain complete contact throughout the length of the roll body. Since the pressure is directly applied to the support roller bearing seat by pressing down the screw or hydraulic cylinder, the bending and vertical movement of the support roller axis corresponding to the stress point reflects the change in the roll gap position, and the change amount is represented by Y s, as shown in Formula (1), where Y s=Y d+Y wb-f0+Y ws-f0 · (1), where Y d is the deflection deformation amount of the support roller axis; Y wb - f 0 is the center flattening amount between rollers; Y ws-f0 is the center flattening amount of the work roller·
Support roller press down position deformation L1, L2 - axis position of support roller before and after deformation; P - force on the screw down; Y f0 - axis displacement of support roller; Yr - Deflection of the axis of the backup roller. The force model of the rolling process of a common rolling mill is shown. Using the influence function method to calculate the elastic deformation of the roller, the lateral distribution of the contact pressure between the work roller and the backup roller, the lateral distribution of the contact pressure between the work roller and the workpiece, and the lateral distribution of the outlet plate thickness can be determined. By changing the work roller radius Rw, the backup roller radius Rb, the work roller crown Cw0, and the backup roller crown Cb0 The influence of changes in these factors on the elastic deformation of the roll can be obtained by calculating the width Ws of the rolled piece and the magnitude of the rolling force F0
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