Improvement of the dynamic behavior of machine tools by geometrical optimization of the machine tool axes movement

A new approach for the geometrical optimization of five-axis-movement is presented in this paper. Regarding a fiveaxis-movement with large tolerances for lead and tilt-angle for example in the case of laser-cutting there are endless ways of generating motions without violating the orientation-tolerances. By regarding the movement of the involved axes it is shown that for a given 5-axis trajectory and given tolerances there exists an optimal motion with a minimal amount of mechanical excitation of the machine-tool within the tolerances. The trajectory is described by quintic non uniform rational B-splines (NURBS). The decrease of mechanical excitation is exemplified by the use of a simplified machine-model.