The analysis research on the movement of machine Tools for processing free-form surface by ball cutter

In order to resolve the function design issue of the machine tools for processing free-form surface, the workpiece is divided into n equal parts; each one consists of a generatix and a guideline. Using the generative design principle, the mathematical description matrix of the ball cutter and the machined surface are established, and thus determine the cutter's positional and gesture matrixes and the possible movement scheme for processing free-form surface. The method is used for processing free-form surface by different tools; the results provide a good theoretical basis for the optimal design for machine tools and the design of combined machine tools.