What is claimed is:
1. A method for evaluating a position of a selected sub-space of a nesting plan, the nesting plan being provided for controlling a cutting process of a flatbed machine tool for cutting out workpieces from a material sheet, the nesting plan including an overlap-free arrangement of respective sub-spaces, the respective sub-spaces corresponding to the workpieces, in a two-dimensional planning space and an arrangement of predetermined supported spaces and support surrounding spaces, the supported spaces corresponding to respective support surface areas of the material sheet, which are supported during the cutting process, the method comprising:
providing:
contour data specifying a cutting contour that delimits the selected sub-space in the position to be evaluated within the planning space,
position data indicating respective positions in the planning space of spaces to be considered in the evaluation, wherein the spaces include a group of supported spaces and a group of support surrounding spaces, and
cutting operation data indicating a type of cutting operation for at least one section of the cutting contour,
determining cumulative contour section lengths using the position data, the contour data, and the cutting operation data, wherein each of the cumulative contour section lengths indicates, for a type of cutting operation and a group of spaces, a cumulative length of sections of the cutting contour, the sections each lying within the corresponding group of spaces,
calculating a damage rate for the respective cutting contour in the position to be evaluated by combining the contour section lengths in a weighted manner with weight factors, the weight factors defining a damage probability depending on the respective group of spaces and the respective type of cutting operation,
determining an evaluation value for the position to be evaluated of the selected sub space using the calculated damage rate of the cutting contour, and
generating the nesting plan based on the evaluation values and controlling the cutting process of the flatbed machine tool for cutting out workpieces from the material sheet according to the nesting plan.
2. The method according to claim 1 , wherein the flatbed machine tool includes a pallet configured to support the material sheet, the pallet having a plurality of support bars each having a plurality of bar tips, and
the support surrounding spaces include support overlay spaces, which correspond to regions of the material sheet that overlie a support bar during the cutting process, and support clearance spaces, which correspond to regions of the material sheet that do not overlie a support bar during the cutting process, and the method further comprising the steps of:
subdividing the cutting contour into sections that lie in a support overlay space and sections that lie in a support clearance space,
determining a contour section length for the support overlay spaces and the support clearance spaces, respectively, using the position data, the contour data, and the cutting operation data, and
including the contour section length for the support overlay spaces and the support clearance spaces in the calculation of the damage rate for the cutting contour with corresponding weight factors.
3. The method of claim 2 , wherein providing the position data comprises:
detecting positions of support bars and/or of bar tips of a pallet, which is provided for use with the flatbed machine tool and provides a support area in which the material sheet can be supported, wherein the step of detecting positions includes:
assigning the supported spaces to regions above the bar tips,
assigning the support overlay spaces to regions above bar depressions, wherein the bar depressions can optionally be further subdivided into regions of bar tip flanks and bar tip sinks, to which respective near and far support overlay spaces are assigned, and
assigning the support clearance spaces to border regions, which laterally adjoin a support bar and extend along the bar tip and/or along the bar depression.
4. The method according to claim 2 , further comprising:
depositing a material sheet on the pallet and determining position data of the material sheet with respect to the pallet, wherein the planning space is derived from a spatial arrangement of the material sheet, in which the supported spaces, support overlay spaces and the support clearance spaces are defined.
5. The method according to claim 1 , further comprising:
assigning sections of the cutting contour or positions along the cutting contour to the groups of spaces with the aid of the position data, and
determining the evaluation value of the to be evaluated position of the selected sub-space depending on the extent of the assigned sections of the cutting contour or positions along the cutting contour.
6. The method according to claim 5 , further comprising:
providing additional support spaces in the planning space and assigning to the additional support spaces sections of the cutting contour or positions along the cutting contour with the aid of the position data for evaluating the to be evaluated position of the selected sub-space,
determining cumulative contour section lengths for the support spaces in dependence of the extent of the sections of the cutting contour or the positions along the cutting contour that are assigned to the additional support spaces, and
combining the cumulative contour section lengths of the supported spaces and the additional support spaces with weights to obtain the evaluation value for the to be evaluated position of the selected sub-space.
7. The method according to claim 1 , further comprising:
providing incision data, associated with the cutting contours, indicating an incision process and/or an approaching process for the cutting contour, and cutting process data for the incision process and/or the approaching process,
determining the number of incisions and/or an approaching section length for the groups of spaces, respectively, as respective cumulative contour section lengths using the position data, the incision data, and the cutting operation data, and
including the number of incisions and/or the approaching section length in the calculation of the damage rate for the cutting contour with the respective weight factors.
8. The method according to claim 1 , further comprising performing a quality evaluation of the workpieces that is included in the evaluation value for the to be evaluated position of the selected sub-space and which depends on the contour section length for the supported spaces.
9. The method according to claim 1 , further comprising performing a tilt evaluation that is included in the evaluation value for the to be evaluated position of the selected sub-space and that includes a calculation of distances between a center of gravity of the selected sub-space and supported spaces that overlap with the selected sub-space.
10. The method according to claim 1 , wherein the sub-space has an outer contour and a closed inner contour that lie within the outer contour, the method further comprising:
performing an overlap evaluation for the inner contour, which is included in the evaluation value for the to be evaluated position of the selected sub-space and which includes a calculation of an overlap of the inner contour with supported spaces and/or with support overlay spaces.
11. A method for determining a nesting plan of sub-spaces, the nesting plan being provided for controlling a cutting process of a flatbed machine tool for cutting out workpieces from a material sheet and including an overlap-free arrangement of sub-spaces, which correspond to the workpieces