| Cam mechanisms as the basic components of mechanical information storage and transmission are widely used in a variety of automated machinery. Cam has a good stability at high speed, high repetitive precision, and good motion characteristics; fewer structure components, small size, rigid, simple-cycle control, good reliability, long life and so on. A good motion characteristic of cam mechanisms requires precise cam to be guaranteed. Cam is a cam mechanism of the core components, so high-precision cam is particularly important.This paper based on he cylindrical groove-cam with translating roller follower as the research object, from the structural features, mating features started with surface theory and the transformation matrix as a tool for solving the actual profile surface equation and knives creation profile surface equation based on tool-position control method of double envelope principle. In the context of theoretical calculations mathematics, with the help of computing softwareMATLAB , when the two parameters-roller cam anglθand axial positionh were collected from the same value, the error analysis which is calculating the distance betweenM point of the tool into the profile of the surface and K point of creating the actual profile of the surface named the corresponding points from the error analysis.In addition, program the NC computer process to machine cylindrical cam based on creation tool profile surface equation and measure the contact point withCMM and record the coordinate figure of the contact point of the surface of cylindrical cam. After that compare with the contact point of theory of creation tool surface profile withMATLABand analyze error.Compare the results of the theoretical error analysis and error analysis of the actual processing and verify the method of corresponding points the error analysis, foundations for popularizing the double envelope method. |