Differential equation solution of shaping curves for narrow steps in cross wedge rolling

Existing methods are not accurate enough to apply in the solution of shaping curves for narrow steps in cross wedge rolling.In order to solve this problem and explore the shaping essence,the curve solution was described as the initial value problem of a differential equation by improving the previous geometric model and analyzing the relationships among various factors in shaping processes.A numerical method by mathematical programming software was used to solve the discrete results of the shaping curves.Through simulation and practice experiments,the calculated results were compared with data in literatures.The comparison of step size obviously shows that this method is not only able to be established,but also better than previous methods on the shaping accuracy of narrow steps.