The Analysis Research on the Scheme of Moving Functions in the NC Lathe Turning the Free Surface

In order to solve the design problem of the scheme of moving functions in the NC lathe turning the free surface, the work piece is cut into n equal parts along the height h, set up the continuous and smooth Centre line of the n equal parts, each equal part is compared of a generatrix and a guide line. Using the generative design principle, the mathematical describing matrixes of the generating line and the cutting point of turning tool are first established. Thus, determine the positional and gesture matrixes of the turning tool. Since the positional and gesture matrixes are achieved through the cascade matrixes, the possible motion schemes of the tandem machine tools for turning free-form surface is decided, a solid foundation is laid for optimizing the design of the CNC lathes and compound machine tools.