Abstract: A machine tool includes a tool and a workpiece machined by the tool, and sensors configured to detect a position of the tool and/or the tool holder holding the tool in a spatially and time resolved manner A method for offline and/or online identification of a state of the machine tool includes: a) detecting or providing positions pi of the tool and/or of the tool holder at a series of points in time i, i=1 . . . n; b) determining for the series of points in time i a series of position changes ?mi according to the formula ?mi=pi/pi-1 and a series of speed changes ?vi according to the formula ?vi=vi/vi-1 with v i = P i - P i - 1 t i - t i - 1 and formula v i - 1 = P i - 1 - P i - 2 t i - 1 - t i - 2 ; c) identifying the state of the tool, the tool holder, the machine tool and/or the workpiece machined in the machine tool based on the position changes ?mi and the speed changes ?vi.

Abstract: A machine tool includes a tool and a workpiece machined by the tool, and sensors configured to detect a position of the tool and/or the tool holder holding the tool in a spatially and time resolved manner A method for offline and/or online identification of a state of the machine tool includes: a) detecting or providing positions pi of the tool and/or of the tool holder at a series of points in time i, i=1 . . . n; b) determining for the series of points in time i a series of position changes ?mi according to the formula ?mi=pi/pi-1 and a series of speed changes ?vi according to the formula ?vi=vi/vi-1 with v i = P i - P i - 1 t i - t i - 1 and formula v i - 1 = P i - 1 - P i - 2 t i - 1 - t i - 2 ; c) identifying the state of the tool, the tool holder, the machine tool and/or the workpiece machined in the machine tool based on the position changes ?mi and the speed changes ?vi.