The algorithms of the cross-coupled precompensation method for generating the involute-type scrolls

摘要

Cross-coupled precompensation method (CCPM) has been proven efficient in tracking nonlinear spatial curves. It requires a path generating algorithm derived from the mathematical equation of the target curve. This paper discussed the time basetransform of target curve from a parametric form. The time based path generating algorithm for the extended involute scroll was then proposed. A comparison among three kinds of tool path generating algorithms were performed. The proposed path algorithms,along with other two algorithms, were implemented and tracked by four different control schemes, US (uncoupled-unprecompensated system), CCS (cross-coupled system), PPM (path precompensation method), and cross-coupled precompensation method (CCPM). Theproposed path algorithm for extended involute scroll provided the best accuracy. The proposed algorithm tracked by CCPM achieved the most precise profile especially at high feedrates.