Linear cutting tool for outer contour machining and machining method thereof

The invention belongs to the technical field of linear cutting machining, and mainly relates to a linear cutting tool for outer contour machining and a machining method of the linear cutting tool. A lead screw is installed on the upper support in a threaded mode, the lead screw penetrates through the upper support, the upper tip is arranged on the lower end face of the lead screw, and the lower tip is arranged on the lower support; the positioning main body is fixedly arranged on the mounting main body, a positioning block is mounted on the positioning main body in a sliding manner, the positioning block is provided with a first positioning plane, and the first positioning plane is used for being attached to one of a plurality of second positioning planes which are uniformly distributed on the cylindrical workpiece or the mandrel in the circumferential direction. And the workpiece which is positioned in the circumferential direction can be machined through the machining method. The positioning main body and t