Building the Mathmatical Model of Elastic Deformation for Rolls System by Four-High Mill Strip Rolling with a Composite Back-Up Roll

Abstract

For buliding the mathmatical model of elastic deformation for rolls system with a composite back-up roll assemblled by the shrinkage fit, the roll sleeve and roll mandrel was studied individually, the bending force was acted on the working roll and the load acted on the contact zone was discreted segment by segment, then the deflection model of the working roll and the roll sleeve and roll mandrel was put forward based on the influence function method. According to the force equilibrim function and the deformation compatibility function between the roll sleeve, the roll mandrel and working roll, the solution matrix was listed and the solving programe was compiled to solve the deflection of working roll and composite back-up roll, the pressure between the working roll and the roll sleeve and the cross-section thickness of rolled strip. Therefore, it is an important theoretical foundation to improve the manufacturing technology and practical application of the composite back-up roll.

Quasi-Equilibrium Stress Zone with Residual Displacement Causing Permanent Slippage in Shrink-Fitted Sleeve Rolls

“…Therefore, if a permanent residual roll deflection occurs during the operation, the sleeve constructed rolls cannot be used anymore. In the previous study [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23], the residual deflection was investigated experimentally for small rolls. However, the residual deflection was not compared with the deflection due to the standard load and therefore the deflection mechanisms has not been sufficiently clarified.…”