Abstract: In a method for positioning machine axes in machine tools, a numerical control converts setpoint positions of a tool, predefined in workpiece coordinates, into setpoint positions of machine axes based on a kinematic chain defined by a kinematic table. In this context, transformations of the coordinates are indicated in the kinematic table in a plurality of entries describing the kinematics of the machine tool, by specifying an axial direction and an associated transformation amount, respectively, per entry. For a machine axis having an error in a direction other than the respective axial direction, error transformation amounts dependent on the axial position are entered into the kinematic table.

Abstract: In a method for positioning machine axes in machine tools, a numerical control converts setpoint positions of a tool, predefined in workpiece coordinates, into setpoint positions of machine axes based on a kinematic chain defined by a kinematic table. In this context, transformations of the coordinates are indicated in the kinematic table in a plurality of entries describing the kinematics of the machine tool, by specifying an axial direction and an associated transformation amount, respectively, per entry. For a machine axis having an error in a direction other than the respective axial direction, error transformation amounts dependent on the axial position are entered into the kinematic table.

Abstract: In a method for continuous-path control in at least two linear axes and at least one angle axis, the movement of a tool relative to a workpiece is predefined by a parts program for a numerical control. The velocity control in the numerical control is performed separately for the linear axes and the angle axes. Deviations in the movement between the tool and the workpiece resulting due to the separate velocity control may be corrected by compensation movements of the linear axes. The separate velocity control for the linear axes and the angle axes may be achieved by rounding the velocity profiles in the angle axes more significantly than the velocity profiles in the linear axes. A measure for the rounding for velocity profiles may be predefined separately for the angle axes and the linear axes.

Abstract: In a method for continuous-path control in at least two linear axes and at least one angle axis, the movement of a tool relative to a workpiece is predefined by a parts program for a numerical control. The velocity control in the numerical control is performed separately for the linear axes and the angle axes. Deviations in the movement between the tool and the workpiece resulting due to the separate velocity control may be corrected by compensation movements of the linear axes. The separate velocity control for the linear axes and the angle axes may be achieved by rounding the velocity profiles in the angle axes more significantly than the velocity profiles in the linear axes. A measure for the rounding for velocity profiles may be predefined separately for the angle axes and the linear axes.

Abstract: A method for reducing computational expenditure required to compensate for temperature-related dimensional deviations in a machine tool is described. Temperature-related dimensional deviations are compensated for before the user input information existing in the workpiece-specific coordinate system is converted into the machine-specific coordinate system. As a result, the requisite coordinate transformation carried out with the aid of a mapping matrix does not have to be performed twice, once for user input information and again for compensation values. In addition, the compensation values for the temperature-dependent expansion are only calculated when a minimum value for the temperature variation is exceeded.