Method for the offline and/or online identification of a state of a machine tool, at least one of its tools or at least one workpiece machined therein

A method for offline or online identification of an operating state of a machine tool, the method comprising:

• a) for a series of time points ti, detecting positions pi of a tool of the machine tool or of a tool holder of the machine tool configured to hold the tool, with the positions being expressed as coordinates of a Cartesian coordinate system, wherein at least a position of the tool or of the tool holder is detectable by a sensor as a function of time,
• b) for the series of time points ti, establishing
• b1) a series of position changes Δmi of the tool, of the tool holder or of a preferably rotatable clamping apparatus of the machine tool configured to clamp a workpiece to be machined, in accordance with
• Δ
• ⁢
• m
• i
• =
• P
• i
• P
• i
• -
• 1
• ,
• b2) a series of speed changes Δvi of the tool, of the tool holder or of the clamping apparatus in accordance with
• Δ
• ⁢
• v
• i
• =
• v
• i
• v
• i
• -
• 1
• ,
• wherein
• v
• i
• =
• P
• i
• -
• P
• i
• -
• 1
• t
• i
• -
• t
• i
• -
• 1
• ⁢
• and
• ⁢
• v
• i
• -
• 1
• =
• P
• i
• -
• 1
• -
• P
• i
• -
• 2
• t
• i
• -
• 1
• -
• t
• i
• -
• 2
• ,
• determining for the position changes Δmi the respective components Δmxi, Δmyi, Δmzi and for the speed changes Δvi the respective components Δvxi, Δvyi, Δvzi in the Cartesian coordinate system, and
• c) identifying the operating state of the machine tool based on the position changes Δmi and the speed changes Δvi,
• wherein the operating state of the machine tool represents at least one of a movement of the tool or of the tool holder, a rest phase of the tool or of the tool holder, and a deviation from a predetermined movement speed of the clamping apparatus.