| ‘‘‘‘‘‘‘‘‘‘‘‘‘‘‘‘‘‘‘‘ KAWASAKI STEEL TECHNICAL REPORT No.19 ( November 1988 ) Steel Pipe ‘‘‘‘‘‘‘‘‘‘‘‘‘‘‘‘‘‘‘‘ |
| Three-Dimensional Analysis of Flat Rolling
of Rectangular Stock by a Numerical
Method
Based on Upper Bound Theory Hiroyuki Hayashi, Kunio Isobe, Kenji Kataoka |
| Synopsis: Three-dimensional rolling of rectangular bar is analyzed. This analysis is based on the upper bound theorem. The total energy dissipation rate is minimized by the simplex method which is one of the direct methods of nonlinear optimization. It is assumed that kinematically admissible velocity is a cubic function of the distance from the entry plane and the cross section of rolled stock keeps plane in the roll gap. Though the velocity field is simple, the calculation results of the spread and rolling torque agree well with leadmodel experiments. From these results, deformation energy efficiency in case of flat rolling of the rectangular bar becomes maximum in the rolling condition of Ld/Hm=1. |
| TextiPDF: 8P/332kbj |