A method for manufacturing a roll mold by cutting a roll, includes generating a control waveform based on a signal corresponding to a rotary position of the roll, and making a plurality of cuts on a surface of the roll by, while the roll is rotated, reciprocating a cutting blade in a radial direction of the roll in accordance with the control waveform. Making the plurality of cuts includes at each of a plurality of predetermined locations, making a predetermined number of cuts of predetermined depth based on the control waveform. Generating the control waveform includes generating a control waveform dictating that, when multiple cuts are made at a predetermined location, each subsequent cut will have a smaller depth than a preceding cut.

A method for manufacturing a roll mold by cutting a roll, includes generating a control waveform based on a signal corresponding to a rotary position of the roll, and making a plurality of cuts on a surface of the roll by, while the roll is rotated, reciprocating a cutting blade in a radial direction of the roll in accordance with the control waveform. Making the plurality of cuts includes at each of a plurality of predetermined locations, making a predetermined number of cuts of predetermined depth based on the control waveform. Generating the control waveform includes generating a control waveform dictating that, when multiple cuts are made at a predetermined location, each subsequent cut will have a smaller depth than a preceding cut.

A method for manufacturing a roll mold by cutting a roll, includes generating a control waveform based on a signal corresponding to a rotary position of the roll, and making a plurality of cuts on a surface of the roll by, while the roll is rotated, reciprocating a cutting blade in a radial direction of the roll in accordance with the control waveform. Making the plurality of cuts includes at each of a plurality of predetermined locations, making a predetermined number of cuts of predetermined depth based on the control waveform. Generating the control waveform includes generating a control waveform dictating that the predetermined locations, the predetermined depths, or both are randomly selected. Generating the control waveform includes generating a control waveform dictating that, when multiple cuts are made at a predetermined location, each subsequent cut will have a smaller depth than a preceding cut.

A method for manufacturing a roll mold by cutting a roll, includes generating a control waveform based on a signal corresponding to a rotary position of the roll, and making a plurality of cuts on a surface of the roll by, while the roll is rotated, reciprocating a cutting blade in a radial direction of the roll in accordance with the control waveform. Making the plurality of cuts includes at each of a plurality of predetermined locations, making a predetermined number of cuts of predetermined depth based on the control waveform. Generating the control waveform includes generating a control waveform dictating that the predetermined locations, the predetermined depths, or both are randomly selected. Generating the control waveform includes generating a control waveform dictating that, when multiple cuts are made at a predetermined location, each subsequent cut will have a smaller depth than a preceding cut.

A tool drive unit for a turning device for machining workpieces has a tool holder driven in a displaceable manner along an infeed direction by a first linear motor and driven in a pendular/displaceable manner in a direction transverse to the infeed direction by a second linear motor. Both linear motors have a moving coil/piezo element. The turning device has a main infeed drive, which produces a primary infeed movement of a turning tool in an infeed direction, and has a main transverse drive which produces a primary transverse movement in a transverse direction transversely to the infeed direction. The turning device has a secondary transverse drive whose movements are oriented in the same direction as the main transverse drive, wherein the turning tool and the axis of rotation can be moved towards one another and away from one another by the superimposition of primary and secondary transverse movements.

A tool drive unit for a turning device for machining workpieces has a tool holder driven in a displaceable manner along an infeed direction by a first linear motor and driven in a pendular/displaceable manner in a direction transverse to the infeed direction by a second linear motor. Both linear motors have a moving coil/piezo element. The turning device has a main infeed drive, which produces a primary infeed movement of a turning tool in an infeed direction, and has a main transverse drive which produces a primary transverse movement in a transverse direction transversely to the infeed direction. The turning device has a secondary transverse drive whose movements are oriented in the same direction as the main transverse drive, wherein the turning tool and the axis of rotation can be moved towards one another and away from one another by the superimposition of primary and secondary transverse movements.

Positions of both end edges of a weld bead in a bead width direction are measured over the entire circumference of a liner in a circumferential direction of the liner. Based on information on the position of the end edge, bead profile information being information on a shape of the end edge of the weld bead over the entire circumference of the liner in the circumferential direction is created. Based on this bead profile information, machining information of the liner per rotation of the liner being position information of a cutting tool in the bead width direction per phase in the circumferential direction of the liner is created so that a moving locus of the cutting tool relative to the liner along the circumferential direction of the liner approximates the shape of the end edge of the weld bead over the entire circumference of the liner in the circumferential direction.

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.

Oscillation for a direct distance between the centers of a tool T and a workpiece W to meet l+a×l×(1−cos(Mωt)) and vertical oscillation to meet a×l×sin(Mωt) are applied alone or in combination with time t, where ω denotes an angular velocity of a workpiece, M denotes the number of sides of a polygon, and a denotes an adjustment parameter. Such oscillation enables adjustment as to how the machining surface is made concave or convex.

A method for producing a freeform Fresnel surface having a number of Fresnel facets with a respective Fresnel segment surface and a trailing edge includes the production of the freeform Fresnel surface via machining processing of a starting body based on the construction data for the freeform Fresnel surface. With the aid of the circular cylinder casing surfaces and/or cone casing surfaces, the projection of the edges of the Fresnel facets on the x-y-plane represent circular paths for the creation of the construction data.