The invention relates to a method for the automated determination of characteristic curves and/or characteristic maps of devices, which comprises the following method steps: acquisition of a measurement data set, execution of an iteration method with the iteration steps calculation of an iteration result from the measurement data set using a neural network, acquisition of a termination parameter, checking the termination parameter and terminating the iteration method if the termination parameter matches a termination criterion, as well as the optical visualization of the iteration result and the measurement data set and repeating the iteration steps.

The invention relates to a method for ascertaining a rough trajectory from a specified contour for controlling a machine tool which has at least two mutually redundant drive devices for carrying out superimposed movements, wherein the contour is determined by a contour function which is defined in portions at least by contour nodal points P.sub.0-P.sub.n+1 with ascending indices and contour portion functions p.sub.0-p.sub.n assigned to the contour nodal points P.sub.0-P.sub.n+1 and has a contour starting nodal point P.sub.0, wherein the rough trajectory is determined by a rough trajectory function which is defined in portions by rough trajectory nodal points Q.sub.0 to Q.sub.n+1 with ascending indices and has a rough trajectory starting nodal point Q.sub.0, wherein the rough trajectory starting nodal point Q.sub.0 is equated to the contour starting nodal point P.sub.0 and then in a first iteration step, on the basis of the contour nodal points P.sub.j to P.sub.n+1, the index value k of which is greater than or equal to the index value j of the respective rough trajectory starting nodal point that contour nodal point P.sub.k which has the smallest possible index value k and the distance of which from the rough trajectory starting nodal point Q.sub.j still just satisfies a specified distance condition is ascertained, and in a second iteration step, a respective following rough trajectory nodal point Q.sub.j+1 which follows the respective rough trajectory starting nodal point Q.sub.j and lies on a connecting line between Q.sub.j and P.sub.k or between Q.sub.j and a centroid of the portion contour P.sub.j to P.sub.k is ascertained.

A method and software is provided for machining a workpiece, including for determining a machining path for material-removing machining of a workpiece using a multi-axis machine tool, wherein control commands for controlling a number of N different machine axes of a machine tool can be generated from the machining path with computer support, according to which a tool can be moved continuously along the machining path, wherein the machining path comprises a first engagement path segment and a second engagement path segment along which the tool engages with the workpiece at least in sections, and wherein the machining path further comprises a connecting path segment along which the tool does not engage with the workpiece and which connects an end point of the first engagement path segment to a starting point of the second engagement path segment continuously and collision-free with the workpiece.

A numerical controller controls a machine tool with a plurality of control axes so as to compensate an inward turning error by inserting a curved movement path into a corner section between two consecutive blocks. An estimated inward turning amount generated as the corner section is subjected to post-interpolation acceleration/deceleration is calculated based on the radius of curvature of the curve and allowable accelerations of the axes of the machine tool, and such a curved movement path that its inward turning amount has a value obtained by subtracting the estimated inward turning amount from a tolerance is inserted into the corner section if the sum of the estimated inward turning and the inward turning amount of the curve is larger than the tolerance.

The invention relates to a method for ascertaining a rough trajectory from a specified contour for controlling a machine tool which has at least two mutually redundant drive devices for carrying out superimposed movements, wherein the contour is determined by a contour function (P.sub.j, p.sub.j) which is defined in portions by contour nodal points P.sub.0−P.sub.n+1 and respective contour portion functions p.sub.0−p.sub.n, wherein a respective contour portion function p.sub.j connects two adjacent contour nodal points P.sub.j, P.sub.j+1, wherein the rough trajectory is determined by a rough trajectory function (Q.sub.j, q.sub.j) which is defined in portions by rough trajectory nodal points Q.sub.0−Q.sub.n+1 and respective rough trajectory portion functions q.sub.0−q.sub.n, wherein a respective rough trajectory portion function q connects two adjacent rough trajectory nodal points Q.sub.j, Q.sub.j+1, wherein, for each contour nodal point P.sub.j, a respective assigned rough trajectory nodal point Q.sub.j is ascertained in such a manner that a difference in the gradients of the two adjacent rough trajectory portion functions q.sub.j−1, q.sub.j which contain this rough trajectory nodal point Q.sub.j is minimal and that the distance of the contour nodal point P.sub.j from the rough trajectory nodal point Q.sub.j satisfies a specified distance condition.

The invention relates to a method for ascertaining a rough trajectory from a specified contour for controlling a machine tool which has at least two mutually redundant drive devices for carrying out superimposed movements, wherein the contour is determined by a contour function (P.sub.j, p.sub.j) which is defined in portions by contour nodal points P.sub.0−P.sub.n+1 and respective contour portion functions p.sub.0−p.sub.n, wherein a respective contour portion function p.sub.j connects two adjacent contour nodal points P.sub.j, P.sub.j+1, wherein the rough trajectory is determined by a rough trajectory function (Q.sub.j, q.sub.j) which is defined in portions by rough trajectory nodal points Q.sub.0−Q.sub.n+1 and respective rough trajectory portion functions q.sub.0−q.sub.n, wherein a respective rough trajectory portion function q connects two adjacent rough trajectory nodal points Q.sub.j, Q.sub.j+1, wherein, for each contour nodal point P.sub.j, a respective assigned rough trajectory nodal point Q.sub.j is ascertained in such a manner that a difference in the gradients of the two adjacent rough trajectory portion functions q.sub.j−1, q.sub.j which contain this rough trajectory nodal point Q.sub.j is minimal and that the distance of the contour nodal point P.sub.j from the rough trajectory nodal point Q.sub.j satisfies a specified distance condition.

The invention relates to a method for ascertaining a rough trajectory from a specified contour for controlling a machine tool which has at least two mutually redundant drive devices for carrying out superimposed movements, wherein the contour is determined by a contour function which is defined in portions at least by contour nodal points P.sub.0-P.sub.n+1 with ascending indices and contour portion functions p.sub.0-p.sub.n assigned to the contour nodal points P.sub.0-P.sub.n+1 and has a contour starting nodal point P.sub.0, wherein the rough trajectory is determined by a rough trajectory function which is defined in portions by rough trajectory nodal points Q.sub.0 to Q.sub.n+1 with ascending indices and has a rough trajectory starting nodal point Q.sub.0, wherein the rough trajectory starting nodal point Q.sub.0 is equated to the contour starting nodal point P.sub.0 and then in a first iteration step, on the basis of the contour nodal points P.sub.j to P.sub.n+1, the index value k of which is greater than or equal to the index value j of the respective rough trajectory starting nodal point that contour nodal point P.sub.k which has the smallest possible index value k and the distance of which from the rough trajectory starting nodal point Q.sub.j still just satisfies a specified distance condition is ascertained, and in a second iteration step, a respective following rough trajectory nodal point Q.sub.j+1 which follows the respective rough trajectory starting nodal point Q.sub.j and lies on a connecting line between Q.sub.j and P.sub.k or between Q.sub.j and a centroid of the portion contour P.sub.j to P.sub.k is ascertained.

A tool-path correcting apparatus includes a cut-point calculating unit that calculates, on the basis of tool path data, tool data, and shape data, cut point information, which is information concerning cut points by a tool on a machining curved surface of a machining shape at the time when the tool is disposed at command points described in the tool path data, a correction-command-point extracting unit that extracts, on the basis of the tool path data and the cut point information, correction command points, which are command points that should be corrected, from command points described in the tool path data, a command-point-correcting-direction determining unit that determines, on the basis of the correction command points, command point correcting directions, which are directions in which the correction command points should be corrected, and a tool-path-data correcting unit that corrects the tool path data.

A tool-path correcting apparatus includes a cut-point calculating unit that calculates, on the basis of tool path data, tool data, and shape data, cut point information, which is information concerning cut points by a tool on a machining curved surface of a machining shape at the time when the tool is disposed at command points described in the tool path data, a correction-command-point extracting unit that extracts, on the basis of the tool path data and the cut point information, correction command points, which are command points that should be corrected, from command points described in the tool path data, a command-point-correcting-direction determining unit that determines, on the basis of the correction command points, command point correcting directions, which are directions in which the correction command points should be corrected, and a tool-path-data correcting unit that corrects the tool path data.