A Three-dimensional Deformation Model for Asymmetric Sheet Rolling Process
محورهای موضوعی : Mechanical EngineeringH. Rezaei 1 , Heshmatollah Haghighat 2
1 - Mechanical Engineering Department, Razi University, Kermanshah, Iran
2 - Associate Professor, Mechanical Engineering Department, Razi University, Kermanshah, Iran
کلید واژه: Three-dimensional asymmetric rolling, Slab method of analysis, Width spread, Rolling torque, Rolling force.,
چکیده مقاله :
In this paper, a three-dimensional deformation model for analyses of asymmetric sheet rolling process is proposed. The slab method of analysis is used for extracting the rolling parameters diagrams. The sheet material under deformation is divided into two deformation zones, i.e. inlet and outlet zones. The inlet and outlet zones are separated from each other by the plane that connects the upper and lower neutral lines. The intersection line of this plane with the vertical plane which passes through the first contact lines of the sheet with the rolls is found, and the origin of the cylindrical coordinate system is located at the midpoint of it. The mathematical equations of the boundaries of the two deformation zones in the vertical plane of symmetry are defined in the cylindrical coordinate system. The mathematical equation presented to estimate the final width of the sheet in symmetric rolling is used for asymmetric rolling of the sheet by replacing the equivalent roll radius. It is assumed that the changes in the sheet width in the deformation zone are a linear function of the horizontal distance to the origin. The governing equations on the slabs are derived and the roll force, the roll torque, and the width spread of the sheet are calculated. The sheet rolling process is also simulated by using the finite element code, DEFORM 3D ver11. It is found that the predicted loads and width spread of the metal sheet are in good agreement with the FE simulation results.
In this paper, a three-dimensional deformation model for analyses of asymmetric sheet rolling process is proposed. The slab method of analysis is used for extracting the rolling parameters diagrams. The sheet material under deformation is divided into two deformation zones, i.e. inlet and outlet zones. The inlet and outlet zones are separated from each other by the plane that connects the upper and lower neutral lines. The intersection line of this plane with the vertical plane which passes through the first contact lines of the sheet with the rolls is found, and the origin of the cylindrical coordinate system is located at the midpoint of it. The mathematical equations of the boundaries of the two deformation zones in the vertical plane of symmetry are defined in the cylindrical coordinate system. The mathematical equation presented to estimate the final width of the sheet in symmetric rolling is used for asymmetric rolling of the sheet by replacing the equivalent roll radius. It is assumed that the changes in the sheet width in the deformation zone are a linear function of the horizontal distance to the origin. The governing equations on the slabs are derived and the roll force, the roll torque, and the width spread of the sheet are calculated. The sheet rolling process is also simulated by using the finite element code, DEFORM 3D ver11. It is found that the predicted loads and width spread of the metal sheet are in good agreement with the FE simulation results.
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