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Unformatted text preview: ⎣ ⎤ 0⎥ ⎥ ( xM )⎥ ⎥ 1⎦ xM OeM Part displacement Tool rotation and position The resulting expression allows calculating the coordinates, in the part, of any cutting edge point as a function of the kinematical and geometrical parameters t, xM and k. While varying these variables, a set of three-dimensional cycloidal surfaces is obtained. Figure 5; Cutting edge trace in the coordinate system of the part The machined profile results from the superimposition of such surfaces obtained for the studied trajectory and the employed cutting parameters (figure 5). 3.5. Simulation of the machining process and signature prediction The simulation of the process consists in finding all the intersections between any zaxis ( i) of the part, and the traces left by the cutting edges. A lot of intersections are generally found (figure 6). If one or more of them exist, the z-axis corresponds to a machined point. The intersections between the z-axis i and the cutting edges for one 198 S. Aranda et al. trajectory correspond to the set of solutions Sj(t, k, xM) of following system of t...
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This note was uploaded on 08/03/2010 for the course DD 1234 taught by Professor Zczxc during the Spring '10 term at Magnolia Bible.

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