An understanding of the thermal expansion of work rolls is essential to the proper control of the flatness of a rolled strip in operating a modern, high-speed rolling mill. In this paper, an analytical solution has been developed to provide the thermal displacements and expansions of the roll. The thermal expansion data, in turn, can be utilized to estimate the thermal crown for shape control and contributes to alleviating many shape problems of the rolled product. The thermal displacement potential function has been used to solve the governing partial differential equations for the thermal displacements. The general stress function is then obtained to modify the displacement potential solution to satisfy the boundary conditions of the free roll surface. To demonstrate the accuracy and reliability of the solution developed, the results of the present solution have been compared with previously published numerical and experimental results at typical rolling conditions; good agreement has been found between them. A parametric study is then performed to provide the required information for proper control of the roll and strip shape in operating a high-speed rolling mill.
All Science Journal Classification (ASJC) codes
- Metals and Alloys