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

Cross-coupled precompensation method (CCPM) has been proven efficient in tr acking nonlinear spatial curves. Ir requires a path generating algorithm de rived from the mathematical equation of the target curve. This paper discus sed the time base transform of target curve from a parametric form. The tim e based path generating algorithm for the extended involute scroll was then proposed. A comparison among three kinds of tool path generating algorithm s were performed. The proposed path algorithms, along with other two algori thms, were implemented and tracked by Sour different control schemes. US (u ncoupled-unprecompensated system), CCS (cross-coupled system), PPM (path pr ecompensation method), and cross-coupled precompensation method (CCPM). The proposed path algorithm for extended involute scroll provided the best acc uracy. The proposed algorithm tracked by CCPM achieved the most precise pro file especially at high feedrates.