Abstract
Free-form bending is a bending technique, whereas the bending tool head combines both linear and rotary motions. One problem with free-form bending is that an incorrectly bent tube section can no longer be corrected. Therefore, if a defect is detected during bending, a strategy for bending the remaining tube sections must be determined in such a way that the overall shape of the tube is as close as possible to the desired one. In this paper, a solution based on optimal recalculation of the residual trajectories of the bending tool head is presented and different cost functions are discussed in terms of their effect on the overall shape. Simulation results have shown a significant improvement of the resulting end shape of the workpiece upon subjecting it to perturbation.
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