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In this thesis , two kinds of tool path generation methods are developed for machining Variable Pitch Lead Screw with four cylindrical meshing elements (V.P.L.S.) on four-axis numerical control machine . The first method employs end-mill cutter , According to the geometry of V.P.L.S. mechanism , the machine tool settings is calculated and the tool path is generated , A 4-axis machine center with angle head attachment is used for the machining of the screw The second method employs ball-end mill cutter, Through the coordinate transformation , the surface normal vector operation and the tool offset calculation , this new method combined surface generating with surface sculpturing for the V.P.L.S. surface . Finally , an example for N C milling of Variable Pitch Lead Screw with four cylindrical meshing elements is presented . The results show that the mathematical errors of V.P.L.S. surface can be controlled within tolerance by the proposed methods .
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