New Analytical Model for Determining the Roll Pitch Diameter in Three-Roll Continuous Retained Mandrel Rolling

The continuous tube-rolling method has been widely used to manufacture high-quality seamless pipes and tubes. However, the analytical model for determining roll pitch diameter in three-roll retained mandrel rolling from first principles not yet presented, which has, thus, hindered development of control technology tube manufacturing. In this work, a new established force–equilibrium principles. modelling taken tube-roll contact geometry, pressure, pull forces, inter-stand tensions, friction coefficients into account its formulations. Seen experimental results at plant, maximum deviation predicted projected area is less than 6% calculated speed satisfactory data field operation 3.9%. proposed enabled influence on be quantified theoretical analysis, it was found that changing amplitude corresponding commonly range can above 9%. Having overcome shortcomings empirical model, required prediction accuracy flexibility being applied flexible rolling. By building key algorithms around physical models, advanced only but also our scientific understanding mechanics process.