SOLVING OF TRIAXIAL METAL FLOW BY VARIATIONAL PRINCIPLE ON TUBE ROLLING WITH CYLINDRICAL AXLE

Both three dimensional displacement and the strain function of metal in the deformation zone of continuous tube rolling under the condition of straight line and circular arc side wall pass were confirmed by Ritz's method to solve the minimum energy equation. The calculational formula of rolling pressure and moment was deduced by the three dimensional deformation analysis using the energy equilibrium principle. The experiments in cold rolling Al tube and hot roiling steel tube verified that the theoretically calculated value is identical with measured one, Thus, this formula seems to be available to the engineering practice.