Ki. Mori et al., DETERMINATION OF OPTIMAL MOTION OF TOOLS IN METAL-FORMING PROCESSES BY CONTROLLED FEM SIMULATION, International journal of machine tools & manufacture, 35(6), 1995, pp. 851-859
A method for determining optimal motion of tools in metal forming proc
esses from the finite element simulation is proposed. In this method,
the calculated results such as the deforming shape and the stress and
strain distributions are monitored in each deformation step of the fin
ite element simulation, and the forming motion of tools is iteratively
optimized on the basis of a feedback control referring to the monitor
ed results. The present method is applied to determination of the moti
on of rolls for forming plates into desired curvatures in plane-strain
three-roll bending. Fuzzy reasoning is used to obtain the movement of
the top roll in each deformation step, and the effects of the plate t
hickness and the difference between the desired and the calculated cur
vatures are taken into consideration. To avoid the delay of the contro
l, the effect of the curvature distribution during bending is included
in the fuzzy reasoning. It is shown that decrease in the curvature ne
ar both ends of the bent plate in three-roll bending is prevented by t
he use of the present method.