A cutting insert according to one aspect has a flat plate shape including a first main surface having a polygonal shape, a second main surface located opposite to the first main surface, and an outer peripheral surface located between the first main surface and the second main surface. The cutting insert includes a cutting portion located in regions including at least a corner portion of the first main surface, and a main body portion located in a region other than the corner portion. A thickness of the main body portion is larger than a thickness of the cutting portions, and the main body portion includes a recessed portion or a protruding portion located in the outer peripheral surface thereof.

A method of efficiently forming a finished part, the method includes providing a cutting tool having a first cutting edge extending from a first end of the cutting tool, a second cutting edge extending from a second end of the cutting tool, and a shaping edge disposed between the first cutting edge and the second cutting edge. The cutting tool is advanced into a rotating workpiece such that the first cutting edge removes a trailing end of the rotating workpiece, the shaping edge shapes a working portion of the rotating workpiece, and the second cutting edge removes the working portion of the rotating workpiece to form the finished part.

A method of efficiently forming a finished part, the method includes providing a cutting tool having a first cutting edge extending from a first end of the cutting tool, a second cutting edge extending from a second end of the cutting tool, and a shaping edge disposed between the first cutting edge and the second cutting edge. The cutting tool is advanced into a rotating workpiece such that the first cutting edge removes a trailing end of the rotating workpiece, the shaping edge shapes a working portion of the rotating workpiece, and the second cutting edge removes the working portion of the rotating workpiece to form the finished part.

A system for fabricating coded lenses includes a cutting tool configured to controllably cut a workpiece at a specified position-dependent depth while traversing a surface of the workpiece along a specified two-dimensional path. A signal generator is operative to generate a signal for controlling fabrication of a coded lens from the workpiece. A vibration tool is operative to ultrasonically vibrate the cutting tool for cutting of gratings on the workpiece.

A thread cutting insert for cutting threads includes a plurality of cutting teeth disposed along a cutting portion, each cutting tooth is provided with an allocated chip former, and the chip formers are provided on a rake face of the thread cutting insert. The shape of at least two cutting teeth is different from each other. At least one cutting tooth along the cutting portion is provided with an allocated chip former the shape of which is adapted to the shape of that cutting tooth which, with respect to an order of engagement during cutting operation, precedes the subsequent cutting tooth along the cutting portion such that the at least one chip former has a shape adapted to the cross-section of chips encountered by it. A set of at least two thread cutting inserts, a thread cutting tool and a method for cutting threads, are also provided.

A cutting insert, for producing a V-shaped profile in a workpiece by radial piercing relative to an axis of rotation of the workpiece, includes a reference plane and a V-shaped insertion region. The V-shaped insertion region includes, inter alia, two cutting edges in the reference plane, a rake face and a plurality of elongated chip-guiding depressions in the rake face, each extending in parallel with a depression axis of extent or extension axis in the reference plane, providing improved chip formation compared to the prior art. The depression axes of extent or extension axes each extend at a recess chip-guiding angle in a region of 0° to 45°. A method of using the cutting insert and the workpiece at a standstill and a machining method are also provided.

In one aspect, a pipe cutting assembly is provided and includes a first base, a second base and a cutting insert. The first base includes a first projection and a first coupling aperture defined in the first projection. The second base is separate from the first base and includes a second projection and a second coupling aperture defined in the second projection. The cutting insert includes a cutting edge and an insert aperture defined therein. The cutting insert interchangeably couples to the first base and the second base. With the cutting insert coupled to the first base, the first projection is at least partially positioned in the insert aperture, and, with the cutting insert coupled to the second base, the second projection is at least partially positioned in the insert aperture. In one aspect, a pipe machining apparatus is provided and includes this pipe cutting assembly.

In one aspect, a pipe cutting assembly is provided and includes a first base, a second base and a cutting insert. The first base includes a first projection and a first coupling aperture defined in the first projection. The second base is separate from the first base and includes a second projection and a second coupling aperture defined in the second projection. The cutting insert includes a cutting edge and an insert aperture defined therein. The cutting insert interchangeably couples to the first base and the second base. With the cutting insert coupled to the first base, the first projection is at least partially positioned in the insert aperture, and, with the cutting insert coupled to the second base, the second projection is at least partially positioned in the insert aperture. In one aspect, a pipe machining apparatus is provided and includes this pipe cutting assembly.

A cutting insert configured to couple to a pipe machining apparatus is provided and includes a first cutting edge and a second cutting edge opposite the first cutting edge. A pipe cutting assembly is provided and includes a first base, a second base separate from the first base, and a cutting insert interchangeably couplable to the first base and the second base to perform a first cut with the cutting insert coupled to the first base and a second cut with the cutting insert coupled to the second base. A pipe machining apparatus is provided and includes a tool support, a first cutting tool base and a second cutting tool base interchangeably coupled to the tool support, and a cutting insert interchangeably coupled to the first cutting tool base and the second cutting tool base.

A cutting insert configured to couple to a pipe machining apparatus is provided and includes a first cutting edge and a second cutting edge opposite the first cutting edge. A pipe cutting assembly is provided and includes a first base, a second base separate from the first base, and a cutting insert interchangeably couplable to the first base and the second base to perform a first cut with the cutting insert coupled to the first base and a second cut with the cutting insert coupled to the second base. A pipe machining apparatus is provided and includes a tool support, a first cutting tool base and a second cutting tool base interchangeably coupled to the tool support, and a cutting insert interchangeably coupled to the first cutting tool base and the second cutting tool base.