Optimal Blank Design for the Drawings of Arbitrary Shapes by the Sensitivity Method
Abstract The sensitivity method in order to find initial blank shapes which result in desired shapes after deformation has been used in this study.. By assuming the final deformation shape be the drawn cup with uniform trimming allowance at the flange, the corresponding initial blank which gives final shape after deformation has been found. With the aid of a well-known dynamic explicit analysis code PAM-STAMP, shape sensitivity has been obtained. To get the shape sensitivity numerically, a couple of deformation processes have been analyzed. Drawings of trapezoidal cup, oil pan, and Audi front door panel, the benchmark test problem of Numisheet ’99 have been chosen as the examples. At every case the optimal blank shape has been obtained only a few times of modification without predetermined deformation path. With the predicted optimal blank, both computer simulation and experiment are performed. Excellent agreements are recognized between simulation and experiment at every case. Through the investigation the sensitivity method is found to be very effective in the arbitrary shaped drawing process design.