Wen-Yuh JyweLiu C.-H.2022-05-242022-05-242000https://www.scopus.com/inward/record.uri?eid=2-s2.0-0033996548&doi=10.1088%2f0957-0233%2f11%2f3%2f310&partnerID=40&md5=9bae7cecd6783041b5c26654471d6255https://scholars.lib.ntu.edu.tw/handle/123456789/612022This paper presents a quality-evaluation model for a cylindrical-shank toroidal milling cutter. The complete toroidal cutter comprises three sections: a cylindrical shank, a truncated cone and a toroid. In machining practice, the cylindrical shank is held by the spindle-head holder and rotates about a central axis. The cylindrical shank can thus be used as the base of the complete tool surface. The model is systematically built from a logical base of a minimum cylindrical shank envelope, which is then extended to the conical and toroidal parts, all based on the common axis. The proposed model provides a useful and sensible method for the evaluation of the toroidal milling cutter.This paper presents a quality-evaluation model for a cylindrical-shank toroidal milling cutter. The complete toroidal cutter comprises three sections: a cylindrical shank, a truncated cone and a toroid. In machining practice, the cylindrical shank is held by the spindle-head holder and rotates about a central axis. The cylindrical shank can thus be used as the base of the complete tool surface. The model is systematically built from a logical base of a minimum cylindrical shank envelope, which is then extended to the conical and toroidal parts, all based on the common axis. The proposed model provides a useful and sensible method for the evaluation of the toroidal milling cutter.Mathematical modelsMilling cuttersOptimizationHelicoidal surfacesToroidal cuttersMeasurement errorsMillingjournal article10.1088/0957-0233/11/3/3102-s2.0-0033996548