Computer-implemented nesting method for generating a nesting plan by nesting workpiece parts on a workpiece sheet

Abstract

The invention relates to a computer-implemented nesting method (100) for generating a nesting plan (46) by nesting workpiece parts (44) with different two-dimensional workpiece geometries on a workpiece sheet (40) with a two-dimensional workpiece sheet geometry, wherein the nesting plan (46) can be used for a laser cutting method (300) in order to cut workpiece parts (44) nested according to the nesting plan (46) out of the workpiece sheet (40). (Figure 4)

Description

[0001]Title: Computer-implemented nesting method for generating a nesting plan by nesting workpiece parts on a workpiece sheet. Description: The invention relates to a computer-implemented nesting method for generating a nesting plan by nesting workpiece parts with different two-dimensional workpiece part geometries on a workpiece sheet with a two-dimensional workpiece sheet geometry. The nesting plan can be used for a laser cutting process for cutting out the workpiece parts nested according to the nesting plan from the workpiece sheet placed on a workpiece support. Nesting methods preceding a cutting process in which workpiece parts are cut out of a workpiece sheet, for example, using exact or heuristic methods,are known from the prior art. Nesting refers to the allocation or placement of the workpiece parts to be cut on the workpiece sheet for the subsequent laser cutting process. In other words, the workpiece parts to be cut out are assigned unique positions on the workpiece sheet or their workpiece sheet geometry with their workpiece part geometry. This allocation or allocation, referred to herein as nesting of the workpiece parts on the workpiece sheet, is stored in the nesting plan. The nesting plan can be retrieved during the laser cutting process, and by tracing the cutting edges with a laser according to the contours of the workpiece parts on the workpiece sheet, the workpiece sheet can be cut to obtain the individual workpiece parts. The purpose of the nesting process is to create a nesting plan by means of which it is possible tothat the workpiece sheet is used as efficiently as possible, resulting in as little waste as possible. One challenge with the nesting process is that during laser cutting, a lot of laser energy is radiated towards the workpiece support with the workpiece sheet resting on it, since only a portion of the laser energy is absorbed by the material of the workpiece sheet to be cut. Typically, the workpiece support is therefore considered a wear part that must be replaced frequently. Such a workpiece support typically consists of vertical support strips that support the parts on evenly distributed points. A problem with such workpiece supports, in turn, is that the cut-out workpiece parts can tend to tilt, creating a risk of collision between the tilted workpiece part and the laser cutting head used for the laser cutting process. One way to minimize this risk is toTo use a uniform minimum workpiece spacing between any two adjacent workpiece parts in the nesting plan, which can be selected in particular depending on the radius of the laser cutting head or its nozzle, so that a currently cut and tilted workpiece part can be passed without collision when the next workpiece part is cut. In the prior art, therefore, a uniform and conservative workpiece spacing of, for example, 15 mm between workpiece parts is selected across all workpiece parts. The inventor recognized that this uniform workpiece spacing leads to a high degree of inefficiency in material use, because such a conservative workpiece spacing is not always necessary. The invention is based on the object of proposing a nesting methodwith which particularly efficient nesting plans can be generated. The object is achieved by a computer-implemented nesting method according to claim 1. Accordingly, a computer-implemented nesting method is proposed for generating a nesting plan by nesting workpiece parts with, in particular, different, two-dimensional workpiece part geometries on a workpiece sheet with a two-dimensional workpiece sheet geometry, wherein the nesting plan can be used for a laser cutting process for cutting out the workpiece parts nested according to the nesting plan from the workpiece sheet placed on a workpiece support, in particular on a support grid, and wherein the nesting method comprises the following method steps: (a) reading in geometric data of the workpiece parts, (b) determining individual geometric characteristics of at least some of the workpiece parts from their geometric data,(c) Determining individual workpiece spacings between adjacent workpiece parts on the workpiece board based on their individual geometric characteristics, and (d) Nesting the workpiece parts with their individual workpiece spacings on the workpiece board. The nesting method according to the invention enables significantly more efficient use of the workpiece board by nesting with individual workpiece spacings instead of a conservative, uniform workpiece spacing. This is because the individual workpiece spacings also allow smaller workpiece spacings to be selected between at least some or all of the workpiece parts, thus saving space or area on the workpiece board, which in turn can be used,to arrange or nest further workpiece parts on it. In this way, the material of the workpiece sheet is reduced by the scrap skeleton remaining after cutting, and the waste is reduced. Such increased material efficiency through closer nesting of the workpiece parts can be achieved according to the invention, as described in more detail below, while maintaining a high level of process reliability with regard to the laser cutting process. The individual workpiece spacings are not chosen randomly. Instead, the individual workpiece spacings are determined based on geometric data that are previously imported. For this purpose, individual geometric characteristics of some or all workpiece parts that are nested on the workpiece sheet are determined from the imported geometric data. This makes it possible toto use the geometries of the individual workpiece parts as a basis for determining the workpiece spacing and thus to select individual workpiece spacings depending on the geometry. "Individual" means in particular that an individual workpiece spacing is selected for each workpiece part. This does not mean that all workpiece spacings must be different from neighboring workpiece parts. The individual workpiece spacings can be freely selected or come from a group of at least two or more defined workpiece spacings in order to accelerate the nesting process. The determination of the individual workpiece spacings can be carried out, for example, using an algorithm, artificial intelligence, a look-up table,etc. In particular, when determining an individual workpiece spacing of a workpiece part, its own geometric characteristics and the geometric characteristics of at least one workpiece part or all (immediately) adjacent workpiece parts are taken into account. The nesting method can generate a nesting plan for the first time or be applied to an already generated nesting plan so that it is partially re-nested (in process step (d)). The nesting problem of efficiently nesting workpiece parts on a workpiece sheet can basically be divided into three sub-problems. First, it can be determined which workpiece part should be placed or nested on which workpiece sheet. Second, it can be determined in which order the individual workpiece parts should be nested. Third, finally, it can be determinedat which unique position each workpiece part is located on the workpiece board. Each sub-problem can be solved using various methods, in particular by exact methods, heuristic methods, the use of artificial intelligence, etc. The nesting method according to the invention can, if required, implement various of the known methods for efficient nesting. However, in this case, the only mandatory requirement with regard to nesting is that the individual workpiece spacings are used for nesting the workpiece parts. In other words, the nesting method according to the invention can, of course, implement further methods that, in addition to the individual workpiece spacings, specify the position, orientation, etc. of the individual workpiece parts on the workpiece board in order to allow efficient nesting. The fact that method step (b) is carried out for at least some of the workpiece parts to be nested means that it is also possiblefor at least one or more workpiece parts, the workpiece spacing can also be determined using a different method, for example, by a fixed workpiece spacing. Nevertheless, it can of course be provided that individual workpiece spacings are determined for all of the workpiece parts to be nested on the workpiece board in order to carry out the nesting. Furthermore, method steps (a) to (d) are carried out in particular in the specified order. In particular, it can be provided that the individual geometric characteristics are determined by comparing the read-in geometric data with at least one predetermined geometric parameter. The advantage of this is that the geometric data is evaluated in a defined manner in order to obtain the individual geometric characteristics therefrom. In particular, it can be provided that the at least one geometric parameter is predetermined in such a way thatthat it is indicative of a process risk of the laser cutting process. By comparing one or more geometric parameters with the geometric data, which correlate with or are indicative of at least one of the process risk parameters listed below, it is possible to determine individual workpiece distances that is optimized with regard to material efficiency on the one hand and process reliability on the other. It can be provided that the process risk includes a process stability of the laser cutting process, a tipping probability of the workpiece parts on the workpiece support, a collision probability of the workpiece parts with a cutting head used in the laser cutting process, and / or a falling probability of the workpiece parts falling through the workpiece support, in particular the support grid.For example, the higher the tilt probability of a workpiece part based on its geometry parameters, the larger its individual workpiece spacing can be selected. Conversely, if the tilt probability is low, and especially if the other process risk parameters are also advantageous, a small individual workpiece spacing can be specified. This ensures that large workpiece spacings are only used on the workpiece table or in the nesting plan where a process risk exists, particularly of a type defined by the aforementioned process risk parameters. Where, however, the process risk is low, the workpiece spacing can be kept to a minimum or even eliminated entirely. However, a certain minimum workpiece spacing is typically desired for high cutting quality, so a minimum workpiece spacing is preferably maintained in the nesting plan.even if individual workpiece distances are determined. This minimum workpiece distance is, of course, smaller than the previously mentioned conservative uniform workpiece distance from the prior art, which is chosen to minimize the process risk. In particular, the individual geometric characteristics can each specify a value for at least one of the aforementioned process risk parameters of process stability, tipping probability, collision probability, and fall probability. Through such a calculation, it is possible to specify the process risk emanating from a workpiece part by specifying the individual geometric characteristics. In particular, it can be provided that the at least one geometric parameter is at least one of the following geometric parameters: a support surface,a center of gravity and an extension along at least one coordinate in a two-dimensional coordinate system. It has been shown to a particularly high degree that the aforementioned geometric parameters have a decisive influence on relevant process risk parameters in laser cutting processes, particularly on the aforementioned process parameters of process stability, tipping probability, collision probability, and fall probability. For example, it can be crucial whether the support surface of a workpiece part typically rests on more or fewer than three support pins of the workpiece support. It can also be crucial whether a workpiece part typically rests on two support pins of the workpiece support along the two coordinates or axes of the two-dimensional coordinate system. These factors, and for example the center of gravity of the workpiece part, determine the process risk for a workpiece part as geometric parameters.in particular its tipping and collision probability. By comparing the geometry data with these geometry parameters, it is possible to estimate the process risk. Different value ranges for the geometry parameters can be stored, for example in the previously mentioned look-up table, particularly with different process risk values ​​and, if necessary, also with workpiece distances for the respective value ranges or process risk values. This makes it particularly quick to determine individual workpiece distances for each workpiece part. Furthermore, it can be provided that the workpiece support comprises support areas, which are formed in particular by support webs and / or support pins. In one variant, the support pins can be arranged on the support webs, wherein the support webs are arranged parallel to one another. A workpiece support with such support areas has the advantagethat it is cost-effective to manufacture and enables simple laser processing of a workpiece plate resting on it. However, it has the disadvantage that it can be damaged by the laser, requiring repair or replacement, and furthermore that workpiece parts can tilt on it and collide with the cutting head. In principle, it is possible to carry out the nesting method according to the invention independently of knowledge of the position of the individual workpiece parts on the workpiece support, in particular the support webs and / or support pins. However, it has been shown that the structure of the workpiece support and the arrangement of the workpiece parts on the workpiece support, in particular its support pins, also play a role in the process risk explained above, i.e. in particular,whether workpiece parts will tip over and potentially collide with the cutting head. In particular, to reduce the process risk, it is now possible to determine the expected position of the workpiece parts on the workpiece support when determining the individual workpiece distances, and to take this expected position into account when determining the individual workpiece distances. In particular, the expected position can include information on which support areas, for example support pins, of the workpiece support the workpiece parts rest, and this information is taken into account when determining the individual workpiece distances. The expected position can be determined, for example, by appropriate sensors and / or cameras on the corresponding processing machine. Furthermore, it can be provided thatthat when determining the individual workpiece spacings, at least one cutting parameter of the laser cutting process, a machine parameter of a processing machine for processing the workpiece sheet, and / or a material parameter of the workpiece sheet is taken into account. The cutting parameter can in particular be a gas pressure and / or a cutting gap width. The material parameter can, for example, be a material thickness and / or a material weight, in particular a specific weight per volume. In this way, the individual workpiece spacings can be determined even more precisely so that a specific, in particular pre-selected, process risk is not exceeded. In principle, a process risk of the laser cutting process can be specified in a separate process step and taken into account when determining the individual workpiece spacings. In this way, a measure of material efficiency and process reliability of the nesting process,which, as targets of the nesting process, are at least partially opposed to one another, are each specified by the corresponding determination of the individual workpiece spacings. Furthermore, it can be provided that the workpiece parts are classified into at least two geometry classes based on their geometric data, and that individual geometric characteristics are determined only for those workpiece parts that fall into a predefined one of the two geometry classes. One of the at least two geometry classes can be selected such that workpiece parts that exhibit a (minimum) process risk are classified into this geometry class. This allows a pre-selection of workpiece parts based on their process risk. For example, if workpiece parts are typically recognizable based on their geometric data as resting very stably on the workpiece support,For example, because they are very large and rest on many support points of the workpiece support, the process risk of these workpiece parts tipping and colliding with the cutting head is very low. By classifying such workpiece parts into a geometry class with no process risk, it is no longer necessary to carry out the nesting process with all process steps for these workpiece parts as well. Instead, for example, a predefined minimum workpiece distance can be selected for each of these workpiece parts, which can be a minimum value for the desired cutting quality. For example, workpiece parts that are very small and would therefore fall through the workpiece support and therefore cannot collide with the cutting head can be classified into a further geometry class. Such workpiece parts are typically nested in such a way thatthat they remain on the residual skeleton after laser cutting with microjoints. For these workpiece parts, it is also not necessary to carry out the entire nesting process with steps (a) to (d). Thus, the nesting process can concentrate on the critical workpiece parts through intelligent preselection. This is because the individual geometric characteristics are only determined for those workpiece parts that fall into the predefined geometry class, for which a process risk exists. Furthermore, it can be provided that the nesting process further includes the process step of determining individual workpiece orientations on the workpiece table for at least some of the workpiece parts based on their individual geometric characteristics. Now, based on the determined individual workpiece orientation, it can be determined whether the process risk of a workpiece part can be reduced by reorientation, especially,if the relative position of the workpiece part on the support areas of the workpiece support is known. Based on the individual geometric characteristics, the process risk of a workpiece part can now preferably be determined and, if necessary, reduced by reorientation on the workpiece table. The object mentioned above is further achieved by a computer program product according to claim 13. The computer program product comprises instructions which, when the program is executed by a computer, cause the computer to carry out the nesting method according to the invention. The computer program product can, for example, be a computer program code per se or a product containing the computer program, for example a data carrier or a data memory. The object mentioned above is also achieved by a machining method according to claim 14. The machining method is designed for machining a workpiece table,The machining method comprises: - the nesting method according to the invention for generating a nesting plan for nesting workpiece parts with different two-dimensional workpiece part geometries on a workpiece sheet with a two-dimensional workpiece sheet geometry, and - a laser cutting method for cutting out the workpiece parts nested according to the nesting plan from the workpiece sheet, in particular by means of a laser cutting beam emerging from a cutting head, wherein, for cutting out the workpiece parts, the laser cutting beam is used to trace cutting contours of the workpiece part geometries of the workpiece parts nested according to the nesting plan on the workpiece sheet. The object mentioned at the outset is finally also achieved by a system according to claim 15. The system is configured for machining a workpiece sheet,The system comprises: - a computer for executing the nesting method of the processing method according to the invention, and - a laser cutting device for executing the laser cutting method of the (inventive) processing method. The computer, which can be designed in particular as a control unit or as part of the control unit, can also be used to control the cutting device. The computer can comprise the computer program product according to the invention. The computer and the laser cutting device can be spatially offset from one another or spatially adjacent to one another. They can be connected to one another, for example, by wireless or wired communication, or at least be configured for such a communication connection. For example, the computer can be located in a remote cloud and can be assigned to the laser cutting device, in particular to a processing machine with the laser cutting device.transmit the generated nesting plan wirelessly. Alternatively, the processing machine can generate the nesting plan locally using the computer. The system can, in particular, comprise a processing machine, wherein the laser cutting device can be part of the processing machine. Such a processing machine can, of course, also comprise other components that are necessary or beneficial for the processing method, such as a workpiece support, a workpiece part collecting device, a (linear) robot for moving the cutting head, etc. If the computer is located in the processing machine, the system can, in particular, be formed by the processing machine. Features described herein with regard to the nesting method apply equally with regard to the computer program product.the processing method and the system, and vice versa. Further details and advantageous embodiments of the invention can be found in the following description,on the basis of which embodiments of the invention are described and explained in more detail. Shown are: Figure 1: a perspective view of a system in the form of a processing machine according to an embodiment of the invention; Figure 2: a schematic view of a laser cutting device as part of the processing machine of Figure 1; Figure 3: a schematic view of a nesting plan; Figure 4: a schematic view of a nesting method according to an embodiment of the invention; Figure 5: a schematic view of the nesting method of Figure 4 in use. In the following description and in the figures, the same reference numerals are used for identical or corresponding features. Figure 1: a system 10 in the form of a processing machine, particularly in the form of a laser cutting machine, further particularly in the form of a laser cutting flatbed machine tool, with a laser cutting device 20,in which a laser cutting process is carried out with a laser cutting beam 1 (see Fig. 2). In particular, a focus of the laser cutting beam 1 is guided by a computer 50 (see Fig. 2), in particular in the form of a control device of the processing machine, along predetermined cutting contours 42 arranged in a cutting area over a plate-shaped workpiece panel 40, in particular a substantially two-dimensionally extending sheet metal, in order to cut out workpiece parts 44 with specific shapes or geometries specified according to a nesting plan 46 (see Fig. 3) (see predetermined shapes of the workpiece parts 44 in the workpiece panel 40 according to the nesting plan 46). The nesting plan 46 can be specified by a control plan for the computer 50. The processing machine here further comprises, by way of example, a removal device 30. The removal device 30 is shown open here for the sake of clarity.Alternatively, it can also be partially or completely enclosed, like the laser cutting device 20 in Fig. 1. For example, the removal device 30 comprises a pallet changer 32. The pallet changer 32 is designed to position one or more pallets 38 during production. A workpiece panel 40 to be cut (as raw or starting material) can be placed and stored on a pallet 38 and inserted into the housing of the laser cutting device 20 for the laser cutting process. After the laser cutting process has been completed, the pallet 38, as shown in Fig. 1, can be moved out of the laser cutting device 20 with a processed workpiece panel 40.so that workpiece parts 44 cut according to the nesting plan 46 can be sorted from the remaining workpiece remaining on the workpiece sheet 40 and removed from the processing machine. Figure 2 shows a laser cutting process 300 in the laser cutting device 20. A cutting head 24, which is controlled by the computer 50 and emits the laser cutting beam 1 for cutting out the workpiece parts 44 from the workpiece sheet 40 onto the workpiece sheet 40, can be freely positioned in the cutting area, so that the laser cutting beam 1 can be guided essentially along any two-dimensional cutting contours 42 across the workpiece sheet 40 to be cut. A cutting contour 42 for the laser cutting beam 1 is predetermined in the computer 50 based on the nesting plan 46 in order to cut out the workpiece parts 44 from the workpiece sheet 40. The computer 50 is shown here as an example as a fixed part of the processing machine.Alternatively, it can be wirelessly connected to the processing machine and form the system 10 with it. A computer 50 in addition to the computer 50 shown can also be used for nesting. The nesting plan 46 specifies the arrangement of the individual workpiece parts 44 on the workpiece sheet 40, as can be seen in Fig. 1. Furthermore, the nesting plan 46 can include the specification of piercing points and predefined gates for piercing the laser cutting beam 1 and guiding the laser cutting beam 1 along the gates to the cutting contour 42 (not shown). During laser cutting, the laser cutting beam 1 heats the metal of the workpiece sheet 40 along the predefined cutting contours 42 until it melts. A cutting gas jet, in particular of nitrogen and / or oxygen,can emerge from the cutting head 24 in the area of ​​the laser cutting beam 1 and push the molten material of the workpiece sheet 40 downwards and out of the gap that forms. The workpiece sheet 40 is thus completely severed by the laser cutting beam 1 during cutting. To cut out a workpiece part 44, the laser cutting beam 1 is moved along the predetermined cutting contours 42 of the respective workpiece sheet 40. This begins at one of the previously mentioned piercing points, which lie outside the workpiece parts 44, and then approaches the contour of the respective workpiece part 44, in particular in an arcuate cut. In the illustrated embodiment, the pallet 38 has a workpiece support 36. The workpiece support 36 has a plurality of support webs 34 that run transversely, in particular perpendicularly, to the insertion direction of the workpiece 40 into the laser cutting device 20 and are aligned parallel to one another. The support webs 34 form support areas,on which the workpiece sheet 40 is placed or placed. Fig. 1 further shows a camera 22 of the processing machine, which is arranged, for example, on the laser cutting device 20 or its housing. The camera 22 can be part of the computer 50 of the processing machine or can be connected thereto. The camera 22 is shown here purely as an example and for the sake of better illustration, directed towards the removal device 30 and can alternatively or additionally be directed towards the laser cutting device 20, in particular arranged within the housing of the laser cutting device 20. Furthermore, sensors can also be used alternatively or additionally to the camera 22. Figure 4 shows a computer-implemented nesting method 100 for generating the nesting plan 46. A corresponding,A nesting system (not shown) can be partially or completely contained in a computer program product (not shown). The nesting system and the nesting method 100 can be executed, for example, by the computer 50 or another control device or a computer of the processing machine. As shown in Fig. 4, the nesting method 100 comprises various method steps 102, 104, 106, 108. In a first method step 102, geometry data 200 of the workpiece parts 44 to be nested on the workpiece board 40 are read in. This geometry data can be present, for example, in the form of CAD data. In a second method step 104, individual geometry characteristics 204 of the workpiece parts 44 are determined from the geometry data 200. For this purpose, a comparison is made between the read geometry data 200 and one or more predetermined geometry parameters 202.which are indicative of a process risk in the laser cutting process 300. This process risk is, in particular, a tipping probability of the workpiece parts 44 and / or a collision probability of the workpiece parts 44 with the cutting head 24, especially if they tip on the workpiece support 36. In a third process step 106 of the nesting process 100, individual workpiece distances 206 between adjacent workpiece parts 44 on the workpiece table 40 are then determined based on the previously determined individual workpiece characteristics 204. Contrary to what is known, this does not result in a uniform workpiece distance 208 (see Fig. 5) that minimizes the process risk, as in the prior art.Finally, in a fourth method step 108 of the nesting method 100, the workpiece parts 44 are nested with their previously determined individual workpiece spacings 206 on the workpiece board 40. This may be a first nesting, in which various algorithms, artificial intelligence, or other methods can be used to make the nesting as efficient as possible. Alternatively, it may also be a re-nesting, in which an existing nesting plan 46 is modified. Because the individual workpiece spacings 206 are smaller than conservative, uniform workpiece spacings 208 (see Fig. 5), as in the prior art, this results in an area gain 210 (see Fig. 5) on the workpiece board 40.so that additional workpiece parts 44 can also be nested on the workpiece table 40. A clear example of the implementation of the nesting method 100 of Fig. 4 is shown schematically in Fig. 5 for a small and purely exemplary section of a nesting plan 46 with three nested workpiece parts 44. The nesting method 100 does not select the otherwise conservative and uniform workpiece spacings 208 between the workpiece parts 44. Instead, individual workpiece spacings 206 are selected, which take into account the process risk considered according to the geometry parameters 202. In this case, the right section of the nesting plan 46, which is a result of the nesting method 100, shows, by way of example,that the individual workpiece spacings 206 are each smaller than the uniform workpiece spacings 208 in the left section of the nesting plan 46. When applied to all workpiece parts 44 and when considering the entire nesting plan 46, it becomes clear that the previously mentioned area gain 210 (which is indicated here only schematically and by way of example as a dashed area) is achieved and that more efficient nesting with less excess material can be achieved.

Claims

1. Computer-implemented nesting method (100) for generating a nesting plan (46) by nesting workpiece parts (44) with, in particular, different, two-dimensional workpiece part geometries on a workpiece sheet (40) with a two-dimensional workpiece sheet geometry, wherein the nesting plan (46) can be used for a laser cutting method (300) for cutting out the workpiece parts (44) nested according to the nesting plan (46) from the workpiece sheet (40) placed on a workpiece support (36), in particular on a support grid, and wherein the nesting method (100) has the following method steps: (a) reading in geometric data (200) of the workpiece parts (44), (b) determining individual geometric characteristics (204) of at least some of the workpiece parts (44) from their geometric data (200),(c) determining individual workpiece spacings (206) between adjacent workpiece parts (44) on the workpiece board (40) based on their individual geometric characteristics (204), and (d) nesting the workpiece parts (44) with their individual workpiece spacings (206) on the workpiece board (40).

2. Nesting method (100) according to claim 1, wherein determining the individual geometric characteristics, (204) by comparing the read-in geometry data (200) with at least one predefined geometry parameter (202).

3. Nesting method (100) according to claim 2, wherein the at least one geometry parameter (202) is predefined such that it is indicative of a process risk of the laser cutting method (300).

4. Nesting method (100) according to claim 3, wherein the process risk is a process stability of the laser cutting method (300), a tipping probability of the workpiece parts (44) on the workpiece support (36), a collision probability of the workpiece parts (46) with a cutting head (24) used in the laser cutting method (300), and / or a falling probability of the workpiece parts (44) falling through the workpiece support (36). 5.Nesting method (100) according to one of claims 2 to 4, wherein the at least one geometric parameter (202) is at least one of the following geometric parameters (202): a support surface, a center of gravity, and an extension along at least one coordinate in a two-dimensional coordinate system.

6. Nesting method (100) according to one of the preceding claims, wherein the workpiece support (36) comprises support regions, which are formed in particular by support webs and / or support pins.

7. Nesting method (100) according to one of the preceding claims, wherein, when determining the individual workpiece spacings (206), a probable position of the workpiece parts (44) on the workpiece support (40) is determined, and the probable position is taken into account when determining the individual workpiece spacings (206).

8. Nesting method (100) according to claim 7, wherein the probable position comprises information regarding the support areas of the workpiece support (36) on which the workpiece parts (44) rest, and this information is taken into account when determining the individual workpiece spacings (206). 9.Nesting method (100) according to one of the preceding claims, wherein at least one cutting parameter of the laser cutting method (300), a machine parameter of a processing machine for processing the workpiece sheet (40), and / or a material parameter of the workpiece sheet (40) is taken into account when determining the individual workpiece distances (206).

10. Nesting method (100) according to claim 9, wherein the cutting parameter is a gas pressure and / or a cutting gap width.

11. Nesting method (100) according to one of the preceding claims, wherein the workpiece parts (44) are classified into at least two geometry classes based on their geometry data (200), and individual geometry characteristics (204) are only defined for those. Workpiece parts (44) are determined which fall into a predefined one of the two geometry classes.

12. Nesting method (100) according to one of the preceding claims, wherein the nesting method (100) further comprises the method step of determining individual workpiece orientations on the workpiece table (40) for at least some of the workpiece parts (44) based on their individual geometric characteristics (204).

13. A computer program product comprising instructions which, when the program is executed by a computer (50), cause the computer (50) to execute the nesting method (100) according to one of the preceding claims. 14.Machining method for machining a workpiece panel (40), the machining method comprising: - the nesting method (100) according to one of claims 1 to 13 for generating a nesting plan (46) of a nesting of workpiece parts (44) with different two-dimensional workpiece part geometries on a workpiece panel (40) with a two-dimensional workpiece panel geometry, and - a cutting method (300) for cutting out the workpiece parts (44) nested according to the nesting plan (46) from the workpiece panel (40), in particular by means of a laser cutting beam (1 emerging from a cutting head (24), wherein for cutting out the workpiece parts (44) with the laser cutting beam (1) cutting contours (42) of the workpiece part geometries of the parts nested according to the nesting plan (46). Workpiece parts (44) are moved on the workpiece panel (40).

15. A system (10) for machining a workpiece panel (40), the system (10) comprising: - a computer (50) for executing the nesting method (100) of the machining method according to claim 14, and - a laser cutting device (20) for executing the laser cutting method (300) of the machining method.

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