Abstract: A method of machining solids of revolution by a rotary cutting tool whose effective portion is shaped as a solid of revolution set on a spindle and having a circular cutting lip, said solid of revolution being imparted rotation during the cutting process, wherein the tool axis is positioned in the plane parallel to the basic plane passing through the axis of machine centers and makes up an angle with the projection of the axis of machine centers on said plane. The distance from the plane of the tool axis to said basic plane and said angle of setting the tool axis are estimated using the following relation:H=(D/2) sin.omega.+(d tg.omega./2.sqroot.sin.sup.2 .phi.+tg.sup.2 .omega.)whereH is the distance from the plane of the tool axis to the basic plane passing through the axis of machine centers;D is the diameter of the workpiece being machined;d is the diameter of the circular cutting lip;.omega. is the central angle of setting the tool point with respect to the basic plane;.phi.

Abstract: The herein-proposed method of cutting solids of revolution by a rotary tool having circular cutting lip resides in that the tool is imparted feed motion, while its rotation results from the interaction of said tool with the rotating workpiece being machined. Prior to bringing the tool in contact with the surface being machined the tool is imparted a positive rotation at a speed differing by not more than 20 percent from the tool working speed, in the same direction as the tool working motion. The rotary tool for carrying said method into effect is shaped as a solid of revolution having a circular cutting lip and held on a spindle provided with a through center bore for the stream of coolant to feed therethrough, the screw-type wind turbine being provided in said spindle bore.