Method for the cutting machining of a workpiece, and software program product

A method for cutting machining of a plate-shaped workpiece, a workpiece part being cut out of the workpiece along a cutting contour, a beam cutting apparatus with a cutting head being used for the cutting machining, and the beam cutting apparatus comprising a workpiece support with a plurality of support points for receiving the workpiece, the method comprising:

• determining a position of the support points either by:
• measuring a position of the support points and/or a relative position of the workpiece with respect to the support points, or
• inferring the position of the support points and/or the relative position of the workpiece with respect to the support points;
• establishing starting-point-free regions depending on a shape of the cutting contour, and depending on the inferred or measured position of the support points and/or the relative position of the workpiece with respect to the support points;
• establishing end-point-free regions depending on the shape of the cutting contour and/or requirements for a cutting quality, and depending on the inferred or measured position of the support points and/or the relative position of the workpiece with respect to the support points;
• establishing a grid of points comprising possible starting points and end points, omitting the starting-point-free and end-point-free regions determined in advance;
• either:
• calculating a torque in a stabilizing and/or tilting direction about a relevant tilt axis for each of the points on the grid taking into account the shape of the cutting contour and also at least the material thickness, material density and/or the gas pressure of the cutting head, or
• calculating a tilt height and/or a tilt depth for each of the points on the grid taking into account the shape of the cutting contour and also the position of the support points;
• setting a priority of the points on the grid, ordered by highest torques in the stabilizing direction and/or lowest tilt heights or tilt depths or torques in the tilting direction;
• selecting one of the points on the grid based on the set priority of the points on the grid;
• and
• carrying out the cutting machining according to the set priority of points.