Analysis of rolling of angles by energy method using finite element division.

Abstract

Shape rolling of an angle beam was analyzed by the energy method, in which the kinematically admissible velocity field was expressed as the sum of basic velocity fields, and finite element division was applied in the previous paper. Here, most basic velocity fields were determined by a method similar to that proposed already, though some new velocity fields were defined concerning the position of the undeformed part of a billet and the curling of the billet after rolling. Rolling properties were obtained and some discussions were made from the mechanical standpoint : curling depends on the difference of circumferential velocities of the upper and lower rolls ; distortion of the cross section of a billet can be attributed to the reduction of the upper and lower parts of side portions of a billet, etc. Consequently, is was proved that the author's energy method can be applied to shape rolling successfully.