An oscillation component a×sin(Mωt) (M is the number of sides) that becomes the maximum when a tool cuts the center of a machining surface is superimposed on a reference angular velocity 2ω of the tool. The angular velocity of a tool shaft becomes higher as the tool shaft comes close to the center of the machining surface and becomes the maximum when the tool shaft is at the center of the machining surface. It is possible to adjust the flatness of the machining surface by adjusting an adjustment parameter a of the oscillation component a×sin(Mωt).

The invention relates to a method for operating at least one machining apparatus as well as a machining system with at least one machining apparatus. Such a machining apparatus can be a machining apparatus for machining workpieces, in particular panel-shaped workpieces, which are used, for example, in the furniture and component industry.

The invention relates to a method for operating at least one machining apparatus as well as a machining system with at least one machining apparatus. Such a machining apparatus can be a machining apparatus for machining workpieces, in particular panel-shaped workpieces, which are used, for example, in the furniture and component industry.

The invention relates to a method for operating at least one machining apparatus as well as a machining system with at least one machining apparatus. Such a machining apparatus can be a machining apparatus for machining workpieces, in particular panel-shaped workpieces, which are used, for example, in the furniture and component industry.

The invention relates to a method for operating at least one machining apparatus as well as a machining system with at least one machining apparatus. Such a machining apparatus can be a machining apparatus for machining workpieces, in particular panel-shaped workpieces, which are used, for example, in the furniture and component industry.

A numerical control device includes: a first control unit which rotates a workpiece about a rotation axis of the workpiece; a second control unit which rotates a rotary tool at a rotation speed with a constant ratio with respect to the rotation speed of the workpiece about the rotation axis, of the rotary tool, parallel to the rotation axis of the workpiece; and a third control unit which controls the relative positions of the rotation axis of the rotary tool and the center axis of a polygon so that the positional relationship between the rotation axis of the rotary tool and the center axis of the polygon is fixed, and the center axis of the polygon passes through a predetermined position of the workpiece and is parallel to the rotation axis of the workpiece.