A theoretical study on the application of asymmetric rolling for the estimation of friction

In this work, a method for the estimation of friction coefficient is proposed based on the asymmetric rolling operation. Asymmetry is produced by operating the lower and upper rolls at different speeds. A slab method based computer code is developed for estimating the curvature of the rolled sheet under asymmetric rolling conditions. Strain-hardening behavior of the material has been incorporated and Wanheim and Bay's friction model is employed. The developed code is used for solving the inverse problem of estimating the coefficient of friction by measuring the curvature of the rolled sheet under known operating conditions. The simulations show a good potential of the method.

[1]  D. H. Sansome,et al.  An experimental study of the effect of roll-speed mismatch on the rolling load during the cold rolling of thin strip , 1982 .

[2]  Rajiv Shivpuri,et al.  Finite element investigation of curling in non-symmetric rolling of flat stock , 1988 .

[3]  W. Drugan,et al.  Theory of plasticity , 1987 .

[4]  F. W. Kellaway,et al.  Advanced Engineering Mathematics , 1969, The Mathematical Gazette.

[5]  Niels Bay,et al.  A model for friction in metal forming processes , 1978 .

[6]  Uday S. Dixit,et al.  A finite element analysis of flat rolling and application of fuzzy set theory , 1996 .

[7]  Gow-Yi Tzou,et al.  Analytical and experimental study on asymmetrical sheet rolling , 1997 .

[8]  Uday S. Dixit,et al.  An analysis of the steady-state wire drawing of strain-hardening materials , 1995 .

[9]  Ann Bettina Richelsen,et al.  Elastic—plastic analysis of the stress and strain distributions in asymmetric rolling , 1997 .

[10]  Maryam Salimi,et al.  Modified slab analysis of asymmetrical plate rolling , 2002 .

[11]  Jerzy Mischke.  Equations of strip equilibrium during asymmetrical flat rolling , 1996 .

[12]  W. Johnson,et al.  A theoretical and experimental investigation into asymmetrical hot rolling , 1974 .

[13]  S. C. Browning,et al.  Turn-Up and Turn-Down in Hot Rolling: A Study on a Model Mill Using Plasticine: , 1972 .

[14]  P. P. Gudur,et al.  A neural network-assisted finite element analysis of cold flat rolling , 2008, Eng. Appl. Artif. Intell..

[15]  H. Ford,et al.  Surface Friction and Lubrication in Cold Strip Rolling , 1955 .

[16]  Werner Schwenzfeier,et al.  Analysis of the bending of the rolling material in asymmetrical sheet rolling , 2000 .

[17]  Niels Bay,et al.  Pressure Distribution in Plate Rolling , 1986 .

[18]  Roberts,et al.  Cold Rolling of Steel , 1978 .

[19]  A. W. Lees,et al.  Finite element modelling of strip curvature during hot rolling , 2002 .

[20]  M. Salimi,et al.  Analysis of asymmetrical sheet rolling by a genetic algorithm , 2007 .

[21]  Anup A. Kuldiwar.  Finite Element Modeling of Strip Curvature During Hot Rolling , 2006 .

[22]  Yeong-Maw Hwang,et al.  Analysis of Asymmetrical Sheet Rolling by Stream Function Method , 1996 .

[23]  Uday S. Dixit,et al.  A rigid-plastic finite element analysis of temper rolling process , 2004 .