Machine tool

A machine tool comprising:

• a cutting tool holding means for holding a cutting tool for machining a workpiece;
• a workpiece holding means for holding the workpiece;
• a feeding mechanism operable to feed at least one of the cutting tool or the workpiece such that the cutting tool is fed relative to the workpiece in multiple axial directions, where the multiple axial directions include at least a direction along an X axis and a direction along a Z axis orthogonal to the X axis;
• the feeding mechanism including an X axis motor operable to relatively move the cutting tool and workpiece along the X axis, and including a Z axis motor operable to relatively move the cutting tool and workpiece along the Z axis;
• a control device for controlling the X axis motor and the Z axis motor;
• to relatively move the cutting tool and workpiece along both the X and Z axes, from a first point to a second point, the control device being operable to determine an interpolation trajectory between the first and second points according to a predetermined interpolation method, and being operable to determine repeating advancing and retreating movements of the cutting tool relative to the workpiece along the interpolation trajectory, where the repeating advancing and retreating movements are operable to relatively feed the cutting tool and workpiece along the interpolation trajectory from the first point to the second point and to simultaneously relatively vibrate the cutting tool and workpiece at a low frequency along the interpolation trajectory;
• and
• the control device being operable to control the X axis motor and Z axis motor to cause the repeating advancing and retracting movements of the cutting tool relative to the workpiece to relatively feed the cutting tool and workpiece along the interpolation trajectory from the first point to the second point and to simultaneously relatively vibrate the cutting tool and workpiece at a low frequency along the interpolation trajectory.