The calculation of roll torque and roll separating force for broadside rolling by stream function method

A two-dimensional velocity field for broadside rolling is proposed by reducing the dual-stream function velocity field. By using the field and the strain vector inner product, an analytical solution of roll torque and separating force for broadside rolling is first obtained. The theoretical predictions of roll torque and separating force are compared with actual measured data. The result reveals that the proposed solution is appropriate for solving broadside rolling, and the roll torque and separating force are in good agreement with the actual measured ones since the maximum errors are less than 15%. Moreover, the effects of various rolling conditions such as thickness reduction, friction factor and shape factor, upon separating force, location of neutral angle, and stress state coefficient are discussed systematically.

► A two-dimensional velocity field is deduced by reducing the traditional dual-stream function three-dimensional velocity.
► Comparison among calculate results and exact ones show solution has high guess precision, their relative errors are no>15%.
► The neutral point moves toward the exit with decrease in friction factor m or increase in reduction ε.
► The stress factor nσ increases as the l/h decreases, and the effect of friction factor m is negligible.