DE112021003200T5 - Automatic calculation device, automatic calculation method and method for manufacturing a base material for three-dimensional processing - Google Patents

Abstract

The automatic calculation device (200) for generating a structure having a three-dimensional shape from a plate-shaped member comprises: a data acquisition unit (211) which obtains condition data including the material of the member, the plate thickness of the member and the three-dimensional shape; a calculation unit (212) which, for elastic deformation of the plate-shaped member to generate a structure, performs a mapping process for mapping a plurality of slits arranged in a zigzag pattern on a processing area where the plate-shaped member is to be elastically deformed, and a Output unit (213) which outputs the result of the allocation process of the calculation unit (212). The assignment process includes a process of calculating the dimensions of the slits with the zigzag pattern based on the condition data obtained by the detecting unit (211).

Description

technical field

The present invention relates to an automatic calculation device, an automatic calculation method and a method for manufacturing a base material for three-dimensional processing.

State of the art

A flexible member can be formed by forming a plurality of slits arranged in a staggered pattern in a plate-shaped member and then expanding the slit portions of the staggered pattern. For example, a non-extensible paper material such as corrugated cardboard can also be three-dimensionally processed so that a structure having a three-dimensional shape such as a curved surface can be produced. The staggered pattern of the plurality of slits arranged in a staggered pattern is as follows. In particular, a houndstooth pattern is a pattern that can be formed by inserting straight slits in a link at a plurality of zigzag positions and then opening the link into a checkered pattern having a large diamond shape. The houndstooth pattern features a square shape with a recess resembling a canine tooth. The staggered pattern described above is a slit pattern for a zigzag arrangement of the plurality of slits from which the houndstooth pattern can be formed.

Furthermore, by forming the plurality of slits arranged in a staggered pattern in a metal plate and then expanding the slit parts of the staggered pattern, three-dimensional processing can be accomplished and application to a structure having a three-dimensional shape can be enabled.

reference list

patent literature

Patent Literature 1: Japanese Laid-Open Patent Application Publication No 2007-237291

Summary

Subsequently, in order to produce a structure with a desired three-dimensional shape, slits of a staggered pattern must be designed in accordance with the mechanical properties of the plate-shaped member and the three-dimensional shape. However, because the specifications of the slits of the staggered pattern vary depending on the mechanical properties of the plate-shaped member and the three-dimensional shape, the slits must be designed through repeated trial and error, which requires a considerable number of man-hours and causes a high unit cost.

The present invention aims to automate the design of slits of a staggered pattern required for three-dimensional processing, thereby reducing design man-hour and unit cost.

An automatic calculation device according to a first aspect of the present invention is an automatic calculation device for generating a structure having a three-dimensional shape from a plate-shaped member, comprising: a data acquisition section configured to obtain condition data including a material of the plate-shaped member, a thickness of the plate-shaped member and indicate the three-dimensional shape; an arithmetic section configured to execute, for a processing area in which the plate-shaped member is to be elastically deformed, layout processing for laying out a plurality of slits arranged in a staggered pattern so that the plate-shaped member is elastically deformed to generate the structure; and an output section configured to output a layout result of the arithmetic section; wherein the layout processing includes processing for calculating specifications of the plurality of slots based on the condition data acquired by the data acquisition section.

In the automatic calculation device according to the first aspect of the present invention, since the mechanical properties of the plate-shaped member and the three-dimensional shape can be taken into account, the specifications of the slits of a staggered pattern required for the three-dimensional processing can be calculated automatically.

In the automatic calculation apparatus according to the first aspect of the present invention, since the slits of a staggered pattern required for the three-dimensional processing can be automatically designed, the design man-hour and the unit cost can be reduced.

Furthermore, in a carbon fiber member for three-dimensional processing according to a second aspect of the present invention, a plurality of slits arranged in a staggered pattern are provided in a plate-shaped member formed of carbon fiber.

In the carbon fiber member for three-dimensional processing according to the second aspect of the present invention, the slits of the staggered pattern are preferably formed by a laser beam. In other words, the carbon fiber member for three-dimensional processing is formed of a member that can be cut using the laser beam.

In the carbon fiber member for three-dimensional processing according to the second aspect of the present invention, the slits of the staggered pattern are preferably expanded in a direction orthogonal to the longitudinal direction of the slits of the staggered pattern.

In the carbon fiber member for three-dimensional processing according to the second aspect of the present invention, preferably, a length, an interval, and a position of each slit among the slits of the staggered pattern are set based on the three-dimensional shape of the structure.

A workpiece holding body of a thermal processing machine according to a third aspect of the present invention comprises a carbon fiber plate-shaped member in which slits of a staggered pattern can be formed by irradiation with a laser beam, the slits of the staggered pattern being in the same direction in the plate-shaped member are arranged such that a plurality of openings are formed in a staggered pattern in the plate-shaped member during expansion in a direction orthogonal to the longitudinal direction of the slits of the staggered pattern, the slits of the staggered pattern in the direction orthogonal to of the longitudinal direction of the slits of the staggered pattern.

In the work holding body of a thermal processing machine according to the third aspect of the present invention, the length of each slit among the slits of the staggered pattern and the interval between the respective slits are set based on the shape or material of the work to be processed.

In the workpiece holding body of a thermal processing machine according to the third aspect of the present invention, the interval between the two slits adjacent to each other in the direction orthogonal to the longitudinal direction of the slits of the staggered pattern is larger than the thickness of the plate-shaped member.

A method of manufacturing a work-holding body according to a fourth aspect of the present invention comprises forming slits of a staggered pattern in the same direction in a carbon fiber plate-shaped member such that a plurality of openings arranged in a houndstooth pattern expand in a direction orthogonal to of the longitudinal direction of the slits of the staggered pattern, and expanding the slits of the staggered pattern by drawing the plate-shaped member in a direction orthogonal to the longitudinal direction of the slits of the staggered pattern around the workpiece holding body of a thermal processing machine of the houndstooth pattern including the openings at positions of the slits of the staggered pattern.

Preferably, the method of manufacturing the workpiece holding body according to the fourth aspect of the present invention includes forming the slits of a staggered pattern by irradiating the plate-shaped member with the laser beam.

character list

• 1 14 is an external perspective view showing a carbon fiber member 100 for three-dimensional processing in a first embodiment.
• 2 Fig. 14 is an external perspective view of a three-dimensional structure Y1 taken from Fig 1 shown carbon fiber member 100 was produced for three-dimensional processing.
• 3A is a schematic view showing the pulling directions of the in 1 shown carbon fiber member 100 for three-dimensional processing.
• 3B FIG. 14 is an external perspective view showing a state in which the carbon fiber member 100 for three-dimensional processing of FIG 3A is pulled in the direction indicated by the arrows.
• 4 Fig. 14 is an external perspective view of a three-dimensional structure Y2 taken from Fig 1 shown carbon fiber member 100 was produced for three-dimensional processing.
• 5 Fig. 14 is an external perspective view of a three-dimensional structure Y3 taken from Fig 1 shown carbon fiber member 100 was produced for three-dimensional processing.
• 6 FIG. 14 is an external perspective view of a three-dimensional structure Y4, which is known from FIG 1 shown carbon fiber link 100 for three-dimensional processing.
• 7 Fig. 14 is an external perspective view of a three-dimensional structure Y5 taken from Fig 1 shown carbon fiber member 100 was produced for three-dimensional processing.
• 8A 12 is a front view showing a carbon fiber member 120 for three-dimensional processing in the first embodiment.
• 8B FIG. 14 is an external perspective view of a three-dimensional structure Y6, which is known from FIG 8A shown carbon fiber member 120 was formed for three-dimensional processing.
• 9 13 is a front view showing a carbon fiber member 130 for three-dimensional processing in the first embodiment.
• 10A Fig. 14 is an external perspective view of a three-dimensional structure Y7 taken from Fig 9 carbon fiber member 130 shown was produced for three-dimensional processing.
• 10B Fig. 14 is an external perspective view of a three-dimensional structure Y8 taken from Fig 9 carbon fiber member 130 shown was produced for three-dimensional processing.
• 11 14 is a front view showing a carbon fiber member 140 for three-dimensional processing in the first embodiment.
• 12 Fig. 14 is an external perspective view of a three-dimensional structure Y9 taken from Fig 11 shown carbon fiber member 140 was created for three-dimensional processing.
• 13 14 is an external perspective view showing a laser processing machine 1 using a workpiece holding body 30 in a second embodiment.
• 14 14 is an external perspective view of a carbon fiber member M from which the workpiece holding body 30 is formed in the second embodiment.
• 15 14 is an external perspective view of the workpiece holding body 30 in the second embodiment.
• 16A FIG. 14 is an external perspective view showing a frame F sandwiched between slits SL20 that are opposite to each other in the vertical direction in FIG 14 carbon fiber member M shown are adjacent.
• 16B 12 is a cross-sectional view of the frame F in the vertical direction.
• 17 13 is a cross-sectional view taken along the line AA of the carbon fiber member M in FIG 14 .
• 18A Fig. 13 is a cross-sectional view of the frame F when a width a is equal to a thickness t.
• 18B Fig. 13 is a cross-sectional view of the frame F when the width a is smaller than the thickness t.
• 18C 14 is a cross-sectional view showing the carbon fiber member M expanded when the shape of the frame F is as shown in FIG 18A or 18B is shown.
• 19A Fig. 14 is a cross-sectional view of the frame F when the width a is larger than the thickness t.
• 19B 12 is a cross-sectional view of the carbon fiber member M expanded when the shape of the frame is as shown in FIG 19A is shown.
• 20A 14 is an explanatory view of an allowable opening size of a staggered pattern slit SL20 when the carbon fiber member M is expanded.
• 20B 14 is an explanatory view of the allowable opening size of the slit SL20 of a staggered pattern when the carbon fiber member M is expanded.
• 21 14 is a table showing examples of various parameters related to the specifications of the staggered pattern slots SL20 when the workpiece holding body is formed with a desired rotation angle φ of the frame F and an allowable opening size w1 of the staggered pattern slots SL20.
• 22 12 is a block diagram showing a configuration of an automatic calculation device 200 in a third embodiment.
• 23 FIG. 12 is a flowchart showing processing contents of an automatic calculation method executed by the automatic calculation device 200. FIG.
• 24A 12 is a perspective view showing the external appearance of a three-dimensional structure 400 made of a plate-shaped member Mn.
• 24B 14 is an explanatory view showing a plurality of slits SL30 arranged in a staggered pattern and arranged on the plate-shaped member Mn.
• 25 Figure 12 is an explanatory view showing bend type options.
• 26 Fig. 14 is an explanatory view showing a bent side Eb enlarged.

Description of Embodiments

Preferred embodiments of the invention are described below with reference to the accompanying drawings.

(First embodiment)

A carbon fiber member for three-dimensional processing, which is an example of a base material for three-dimensional processing in a first embodiment, will be described below. The carbon fiber member for three-dimensional processing according to this embodiment is formed by inserting slits of a staggered pattern using a laser beam by a laser processing machine in a sheet-shaped thin plate having rigidity and by simply weaving (plain weave) a thread-like carbon fiber such as one carbon fiber reinforced carbon composite material (C/C composite material) is obtained. A plain weave is a weaving method in which fibers are crossed one for one vertically and laterally. It should be noted that the method for weaving the carbon fiber can also be satin weave, twill weave, crepe weave or irregular weave as long as the fibers are woven into a structure. The carbon fiber reinforced composite material can also be a carbon fiber reinforced plastic in which the slits can be formed by a CO ₂ laser or the like.

The staggered pattern means a pattern of a plurality of slits arranged in a staggered pattern, i.e. a pattern of slits for forming the following pattern. The houndstooth pattern is a pattern that can be formed by inserting straight slits in a link at multiple zigzag positions and then opening the link to form a checkered pattern with large diamonds. The houndstooth pattern includes a square shape with a recess resembling a canine tooth. In other words, the staggered pattern is a slit pattern in which the plurality of slits are arranged in a zigzag fashion so that the houndstooth pattern can be formed. The shape of the slits of a staggered pattern in this embodiment is not limited to a straight line but may be a cyclic curve such as a waveform.

Because the fibers of the C/C composite are reinforced by impregnating the woven carbon fibers with various substances, elasticity is provided in forming into the thin plate shape. However, because of the high rigidity thereof, it is difficult to deform a C/C composite having a large curvature.

The carbon fiber for three-dimensional processing in this embodiment will be described with reference to the drawings. 1 14 is an external perspective view showing a carbon fiber member 100 for three-dimensional processing in the first embodiment. The carbon fiber member 100 for three-dimensional processing is formed by inserting a plurality of slits SL1 arranged in a staggered pattern into a carbon fiber member M having a laterally long plate shape with a thickness t and a Young's modulus e.

Specifically, in the carbon fiber member 100 for three-dimensional processing, a plurality of slit rows in which a plurality of slits SL1 are arranged as the slits of a staggered pattern linearly in the longitudinal direction (lateral direction) of the slits SL1 with an interval s therebetween are arranged with a width a therebetween lined up, that is, arranged in a direction orthogonal to the longitudinal direction (the vertical direction) of the slits SL1 with a regular interval therebetween. Within adjacent slit rows, one slit row is configured such that the positions of the slits SL1 are offset with respect to the other slit row. In the example of 1 For example, the central position of a slot SI1 in one slot row corresponds to the position of a connection part (a part corresponding to the interval s in the lateral direction between the slots SL1) connecting the slots SL1 in the other slot row.

The carbon fiber member 100 for three-dimensional processing is composed of a plate-shaped member (the carbon fiber member M) that can be cut using the laser beam. The slits SL1 of a staggered pattern can be formed in the carbon fiber member M by a laser processing machine capable of cutting with the laser beam. In the laser processing machine, a length L2 of the slits SL1, the interval (the interval in the lateral direction) s between the slits SL1 in the same slit row, and the width a, which is an interval between the slits SL1 in slit rows adjacent to each other, are previously set . The carbon fiber member 100 for three-dimensional processing is manufactured by forming the plurality of slits SL1 arranged in a staggered pattern in the carbon fiber member M with the laser processing machine. Then For example, as described later, a structure having a three-dimensional shape (hereinafter referred to as “three-dimensional structure”) can be produced from the carbon fiber member 100 for three-dimensional processing.

2 Fig. 14 is an external perspective view of a three-dimensional structure Y1 taken from Fig 1 shown carbon fiber member 100 was produced for three-dimensional processing. When a plurality of slits SL1 arranged in a staggered pattern are processed, flexibility is created in the carbon fiber member 100 for three-dimensional processing. When a bending force is applied in this state so that two upper and lower sides of the in 1 of the carbon fiber member 100 shown are brought close to each other for three-dimensional processing, a part sandwiched between the slits SL1 adjacent to each other in the lateral direction (a part corresponding to the width s) and a part sandwiched between the slits SL1 adjacent to each other in the vertical direction (a part corresponding to the width a) twisted and bent by elastic deformation and thereby deformed in the three-dimensional direction. Then as in 2 1 shows the carbon fiber member 100 bent for three-dimensional processing to a state where it is bent into a semicircular shape having a large curvature while maintaining the rigidity of the carbon fiber member 100 for three-dimensional processing. In this way, the three-dimensional structure Y1 bent into a semicircular shape can be produced.

3A is a schematic view showing the pulling directions of the in 1 shown carbon fiber member 100 for three-dimensional processing. And 3B FIG. 14 is an external perspective view showing a state in which FIG 3A carbon fiber member 100 shown is drawn in the directions indicated by arrows for three-dimensional processing. When the carbon fiber member 100 is formed in a staggered pattern as indicated by the arrows in FIG 3A is pulled to expand the staggered pattern slits SL1, the parts sandwiched between the corresponding staggered pattern slits SL1 are twisted and bent. Then as in 3B 1, the slits SL1 of a staggered pattern are each opened in the shape of a rhombus or a hexagon, and the carbon fiber member 100 is expanded into a state of having a wavy mesh (houndstooth shape) for three-dimensional processing.

4 Fig. 14 is an external perspective view of a three-dimensional structure Y2 taken from Fig 1 shown carbon fiber member 100 was produced for three-dimensional processing. When the force is further applied to the expanded carbon fiber member 100 for three-dimensional processing to fit a shape of a hemispherical object, for example, the parts sandwiched between the slits SL1 of the staggered pattern are further twisted and bent. Then the three-dimensional structure Y2 can be in the hemispherical shape as in 4 shown can be generated while maintaining the rigidity of the carbon fiber member 100 for three-dimensional processing.

And when the carbon fiber member 100 is formed for three-dimensional processing, the length L2, the interval s, and the width a of the slit SL1 can be changed based on the three-dimensional shape of the three-dimensional structure to be processed and set in the laser processing machine. By changing the settings like this, the torsional elasticity and the bending elasticity of the parts sandwiched between the slits SL1 of a staggered pattern can be adjusted to adjust the bending elasticity (the flexibility) of the carbon fiber member 100 for three-dimensional processing.

For example, increasing the length L2 of the respective slits SL1 of the staggered pattern and narrowing the interval s and width a of the respective slits SL1 increases the flexibility of the carbon fiber member 100 for three-dimensional processing. Thereby, a three-dimensional structure having a bend with a larger curvature and a complicated shape can be produced. And by changing the respective slot positions of the slots SL1 with a staggered pattern according to a certain rule, a diagonal houndstooth pattern can also be set during expansion.

5 Fig. 14 is an external perspective view of a three-dimensional structure Y3 taken from Fig 1 shown carbon fiber member 100 was produced for three-dimensional processing. In particular, the three-dimensional structure Y3 having a cylindrical shape as in FIG 5 shown by combining the two top and bottom sides of the carbon fiber member 100 for three-dimensional processing of FIG 1 be generated. In the three-dimensional structure Y3 produced in this way, the parts sandwiched between the slits SL1 of a staggered pattern are twisted and bent on the entire surface of the carbon fiber member 100 for three-dimensional processing. As for the moment stiffness of the dreidimensio As for the structural structure Y3 with respect to the longitudinal direction, the material rigidity of the carbon fiber member M is utilized as it is.

6 FIG. 14 is an external perspective view of a three-dimensional structure Y4, which is known from FIG 1 shown carbon fiber member 100 was produced for three-dimensional processing. In another specific example, as in 6 1 shows the three-dimensional structure Y4 having a shape in which the central part rises in the vertical direction along the lateral direction, from which the carbon fiber member 100 for three-dimensional processing is produced. In the three-dimensional structure Y4 produced in this way, the twisting and bending directions of the parts sandwiched between the slits SL1 of the staggered pattern vary depending on their positions. In this three-dimensional structure Y4, as for the moment rigidity with respect to the longitudinal direction, the material rigidity of the carbon fiber member M is used as it is.

7 Fig. 14 is an external perspective view of a three-dimensional structure Y5 taken from Fig 1 shown carbon fiber member 100 was produced for three-dimensional processing. The carbon fiber member 100 for three-dimensional processing is formed by inserting long slits SL1 with a narrow interval, increasing flexibility. By expanding the carbon fiber member 100 for three-dimensional processing, the three-dimensional structure Y5 fitting a shape of an object having a freely curved surface can be produced. For example, as in 7 Also shown is a three-dimensional structure Y5 used as a plaster of paris or a foothold in a mold adapted to a human foot.

8A 12 is a front view of a carbon fiber member 120 for three-dimensional processing in the first embodiment. And 8B FIG. 14 is an external perspective view of a three-dimensional structure Y6, which is known from FIG 8A shown carbon fiber member 120 was created for three-dimensional processing. Depending on the shape of a three-dimensional structure to be produced, the slits of a staggered pattern may be inserted only in a target processing area such as an area where the carbon fiber member M is bent. For example, when the three-dimensional structure part Y6 is created with a square tube shape, as in FIG 8A 1, a plurality of slits SL2 arranged in a staggered pattern are inserted only at parts where the carbon fiber member M is bent, that is, at parts corresponding to four corner sides to form the carbon fiber member 120 for three-dimensional processing. Then, by bending the corresponding corner sides and inserting an inner frame 121 as in Fig 8B shown, the three-dimensional structure Y6 can be produced in a state with a high rigidity.

9 13 is a front view showing a carbon fiber member 130 for three-dimensional processing in the first embodiment. The carbon fiber member 130 for three-dimensional processing used in 9 as another example, is obtained by concentrically arranging, on the carbon fiber member M, a rectangle having the same aspect ratio as the carbon fiber member M but smaller in size than that of the carbon fiber member M and inserting a plurality of slits arranged in a staggered pattern SL3 formed in the perimeter of the rectangular part Q. When a force is applied to the rectangular part Q located in the center and surrounded by the slits SL3 of the staggered pattern, the circumference of the rectangular part Q is expanded. Then one in 10A shown three-dimensional structure Y7 or in 10B shown three-dimensional structure Y8 are generated.

10A Fig. 14 is an external perspective view of the three-dimensional structure Y7 taken from Fig 9 carbon fiber member 130 shown was produced for three-dimensional processing. And 10B Fig. 14 is an external perspective view of the three-dimensional structure Y8 taken from Fig 9 carbon fiber member 130 shown was produced for three-dimensional processing. In the 10A The three-dimensional structure Y7 shown is produced by applying a force such that one long side of the rectangular part Q is indented and the other long side is protruded. Furthermore, the in 10B generated three-dimensional structure Y8 is produced by applying a force in a direction perpendicular to the surface of the carbon fiber member 130 for three-dimensional processing in the vicinity of the center of the rectangular part Q so that the entire rectangular part Q protrudes.

11 14 is a front view showing a carbon fiber member 140 for three-dimensional processing in the first embodiment. The carbon fiber member 140 for three-dimensional processing used in 11 shown as another example, by inserting two rows of slits SL4 and SL5 of a staggered pattern, adjacent to the center of the short side of the carbon fiber member M and further inserting slits SL6 to SL13 of a staggered pattern at positions, which are line-symmetrical to the slits SL4 and SL5 of a staggered pattern are formed. The staggered pattern slits SL4 and SL5 are in a staggered pattern along the lateral direction of the carbon fiber g lied M arranged. Further, the slits SL6 to SL13 of a staggered pattern are arranged in a staggered pattern around square parts arranged at corresponding positions, respectively.

A force is applied to each of the square parts of the slits SL6 to SL13 of a staggered pattern of the thus formed carbon fiber member 140 for three-dimensional processing in a direction perpendicular to the surface of the carbon fiber member 140 for three-dimensional processing. This expands the perimeters of the square parts, which may cause the central parts to protrude. Furthermore, the parts of the slits SL4 and SL5 are bent and folded in a staggered pattern. In this way, a three-dimensional structure Y9 as in 12 shown are generated.

12 Fig. 14 is an external perspective view of a three-dimensional structure Y9 taken from Fig 11 shown carbon fiber member 140 was created for three-dimensional processing. The three-dimensional structure Y9 has a shape in which the staggered pattern slit SL6 part and the staggered pattern slit SL10 part, which are brought into a state facing each other, protrude on an axis 91 . Accordingly, the three-dimensional structure Y9 has a shape in which the staggered pattern slit SL7 part and the staggered pattern slit SL1 1 part protrude on an axis 92 . Accordingly, the three-dimensional structure Y9 has a shape in which the staggered pattern slit SL8 part and the staggered pattern slit SL12 part protrude on an axis 93 . Accordingly, the three-dimensional structure Y9 has a shape in which the staggered pattern slit SL9 part and the staggered pattern slit SL13 part protrude on an axis 94 .

According to the embodiment described above, the carbon fiber member for three-dimensional processing can be manufactured, which can be processed into various three-dimensional structures that are lightweight and highly rigid. In general, the carbon fiber member has no stretchability in a plate shape because of its high elasticity and cannot be plastically processed. However, as described above, by inserting the plurality of slits arranged in a staggered pattern into the carbon fiber member, bending or expanding can be performed utilizing elastic deformation. In this way, the carbon fiber member for three-dimensional processing, which can produce the three-dimensional structures in various shapes and, for example, various products based on a general design, can be manufactured.

And according to the embodiment described above, when the carbon fiber member is manufactured for three-dimensional processing, the carbon fiber member is slit (cut) using the laser beam to form the slits of a staggered pattern. Accordingly, simple and inexpensive mass production is possible. Usually, a water jet is used for cutting the carbon fiber member, but since carbon fiber has high hardness, drilling cannot be performed with this method. For this reason, the water jet cannot be used for a slit for bending or expanding. By using the laser beam, appropriate slitting can be performed on the carbon fiber member.

(Second embodiment)

A workpiece holding body as a three-dimensional structure in a second embodiment and a laser processing machine, which is a thermal processing machine and uses a workpiece holding table with the workpiece holding body installed thereon, will be described below with reference to the accompanying drawings.

13 14 is an external perspective view showing a laser processing machine 1 using a workpiece holding body 30 in the second embodiment. The laser processing machine 1 of this embodiment performs thermal cutting (an example of thermal processing). As in 13 1, the laser processing machine 1 includes a workpiece holding table 3 for installing a workpiece W to be thermally processed on an apparatus base. The work holding body 30 holding the work W to be processed is installed on the work holding table 3 . The material and the shape of the workpiece holding body 30 will be described later.

The laser processing machine 1 includes a gate-type frame 4 arranged so as to extend over the workpiece holding table. The frame 4 includes side frames 41 and 42 and a top frame 43.

A carriage 5 movable in the Y-direction is provided in the upper frame 43. As shown in FIG. A laser head 51 which emits a laser is mounted on the carriage 5. As shown in FIG. The laser head 51 is configured to move arbitrarily in the X and Y directions over the workpiece W when the Frame 4 is moved in the X direction by a dedicated drive mechanism (not shown), and carriage 5 is moved in the Y direction by a dedicated drive mechanism (not shown).

An NC (numerical controller) 6 for controlling the laser processing machine 1 is attached to the frame 4 . The NC device 6 controls the laser processing machine 1 according to processing data (NC data: numerical control data) for processing the workpiece W. The NC device 6 is a controller that controls the laser processing machine 1 .

The workpiece W is cut when the laser head 51 irradiates the workpiece W with a laser while it is being moved in the X direction or the Y direction by the frame 4 and the carriage 5 under the control of the NC device 6 .

The workpiece holding body 30 installed on the workpiece holding table 3 will be described below. The work holding body 30 is formed using the carbon fiber member M cut from the thin plate obtained by simply weaving a filamentary carbon fiber such as carbon fiber reinforced carbon composite (C/C composite) into an elongated shape. Plain weaving is a weaving method in which fibers are crossed one for one vertically and laterally.

The weaving method for weaving the carbon fiber can be satin weave, twill weave, crepe weave or random weave as long as the fibers are woven into a structure.

The melting point of the carbon fiber is 3550°C, which is very high as compared with the melting point of a metal workpiece W, which is 1580°C. Furthermore, the probability of instantaneous alloying of the carbon fiber with a metal or fixation of a metal having undergone compositional change to the carbon fiber is extremely low as compared with a conventional ferrous work holding body. Therefore, by using the carbon fiber as a material for the workpiece holding body 30, welding between the workpiece W and the workpiece holding body 30, which might be caused by irradiation of the laser beam during cutting of the workpiece W, can be prevented. And because spatters caused during cutting are hardly welded to the workpiece holding body 30, spatters are less likely to be deposited. And even if spatter is deposited, the spatter can be easily peeled off, so that spatter removal can be easily accomplished. And because the fibers of the C/C composite are reinforced by impregnating the woven carbon fibers with various substances, elasticity is generated to provide excellent durability when the CC composite is formed into the thin plate shape.

14 14 is an external perspective view of a carbon fiber member for three-dimensional processing from which the work-holding body 30 is produced in the second embodiment. 15 14 is an external perspective view of the workpiece holding body 30 in the second embodiment. When the work holding body 30 is produced, the plate-shaped carbon fiber member M is formed as in FIG 14 1 is irradiated with the laser beam to form the slits SL20 of a staggered pattern in the same direction (the lateral direction). The staggered pattern slits SL20 are arranged in a staggered pattern such that a plurality of openings arranged in the houndstooth pattern are formed when the carbon fiber member M is expanded in a direction orthogonal to the longitudinal direction of the slits SL20. For the sake of simplicity shows 14 a state where the staggered pattern slits SL20 are formed only in the center of the carbon fiber member M, but the staggered pattern slits SL20 may be formed in the entire surface of the carbon fiber member M.

The carbon fiber member M (the carbon fiber member for three-dimensional processing) in which the staggered pattern slits SL20 are formed is orthogonal to the longitudinal direction of the staggered pattern slits SL20 outward by applying a force in the two directions of the arrows b1 and b2 pulled. When the force is applied in this manner, the part sandwiched between the staggered pattern slits SL20 is twisted and bent to expand each of the staggered pattern slits SL20 into a diamond shape or hexagonal shape, and an opening E is formed at the position of each of the Slits SL20 of the staggered pattern are formed. Then as in 15 1, the carbon fiber member M is expanded into a state having wavy mesh-like openings E (the houndstooth shape) to form the work holding body 30. As shown in FIG.

When the workpiece holding body 30 constructed in this way is installed on the workpiece holding table 3 and the workpiece W is placed on the upper part thereof, the workpiece W is passed through the upper ends of the corrugations formed on the work holding body 30 by the widening are held. Because the workpiece holding body 30 includes mesh-like openings E, escaping spaces for a process gas generated during thermal processing are secured and deposition of spatter is suppressed. And since the upper ends of the corrugations of the workpiece holding body 30 each have a protrusion shape, the workpiece W placed on the workpiece holding body 30 is held at lines or points, thereby welding to the workpiece W is suppressed.

Shape properties such as the size of the opening E in the workpiece holding body 30, the shape of the corrugation, and the rigidity can be changed appropriately by adjusting various parameters (specifications) with respect to the carbon fiber member M and the slits SL20 of the staggered pattern. Thus, by appropriately changing the parameters and changing the shape characteristics of the workpiece holding body 30, the workpiece holding body 30 suitable for the shape and material of the workpiece W to be processed by the laser processing machine 1 can be formed.

In the following, the relationship between the various parameters related to the carbon fiber member M and the slits SL20 of the staggered pattern and the shape characteristics of the work-holding body 30 to be formed will be described.

First, a cross-sectional secondary moment generated in the portion sandwiched between the slits SL20 of the staggered pattern upon expansion of the carbon fiber member M will be described. 14 12 shows a state where the plurality of slits SL20 arranged in a staggered pattern are formed in the carbon fiber member M having a laterally long thin plate shape with a lateral width LM, a thickness t, and a Young's modulus e. The slits SL20 of the staggered pattern are each formed with the same length L2. The staggered pattern slits SL20 are arranged such that the plurality of openings arranged in the houndstooth pattern are formed in the carbon fiber member M when expanded in a direction orthogonal to the longitudinal direction of the staggered pattern slits SL20. Specifically, n slots SL20 of a staggered pattern are arranged in a row with an interval s in the lateral direction, which is the longitudinal direction thereof. Further, N+1 rows of slits of the staggered pattern are formed with a constant width a (N is the number of frames F described later). Within the pair of adjacent slot rows, the slots SL20 of one of the slot rows are offset in the lateral direction with respect to the slots SL20 of the other slot row by a distance equal to half the sum of the length L2 and the interval s.

16A FIG. 14 is an external perspective view showing the frame F inserted between the slits SL20 of a staggered pattern adjacent to each other in the vertical direction in the carbon fiber member M of FIG 14 is included. In the carbon fiber member M in which the plurality of slits SL20 are formed in a staggered pattern, a part enclosed by the two slits SL20 adjacent to each other in the vertical direction is referred to as a frame F. As in 16A shown, the frame F is a rectangular parallelepiped defined by the length Lx in the lateral direction of the part enclosed between the slits SL20 of a staggered pattern, the width a which is an interval in the vertical direction between the slits SL20 of the staggered pattern, and the thickness t of the carbon fiber member M is defined.

$$\text{Ia}={\text{a}}^3\text{t}/12$$

$$\text{It}=\left({\text{at}}^3+{\text{a}}^3\text{t}\right)/12$$

16B 12 is a cross-sectional view of the frame F in the vertical direction. A cross-sectional secondary moment about an axis orthogonal to the thickness t is lt, a cross-sectional secondary moment about an axis orthogonal to the width (the interval in the vertical direction between the slits SL20 of the staggered pattern) a is la, and a cross-sectional secondary moment is la around the centroid of the cross-section is lp. It is represented by the following equation (1). la is represented by the following equation (2). And Ip is represented by the following equation (3). $$\text{it}={\text{at}}^3/12$$

$$\text{yes}={\text{a}}^3\text{t}/12$$

$$\text{it}=\left({\text{at}}^3+{\text{a}}^3\text{t}\right)/12$$

In the case of t ≥ a, It ≥ la is established. Furthermore, in the case of t < a, It < la < Ip (Ip - It = a3t/12 > 0, Ip - la = at ³ /12 > 0) is produced.

17 FIG. 14 is a cross-sectional view taken along line AA of the carbon fiber member M of FIG 14 . Because the cross section of the carbon fiber member M is divided by the slits SL20 of the staggered pattern, rectangles of thickness t and width a are lined up continuously in the lateral direction.

18A Fig. 13 is a cross-sectional view of the frame F when the width a is equal to the thickness t. And 18B Figure 12 is a cross-sectional view of the yard mens F if the width a is less than the thickness t. 18C 14 is a cross-sectional view showing the carbon fiber member M expanded when the shape of the frame F is as shown in FIG 18A or 18B is shown. A case will be described in which the carbon fiber member M in which the slits SL20 are formed in a staggered pattern such that the relationship of the width a to the thickness t is as in FIG 18A shown a = t or as in 18B shown a < t, is expanded. In this case, as in 18C As shown, the frame F part is expanded in the width a direction with a smaller cross-sectional secondary moment without changing the orientation of the cross section, so that an interval is generated between the corresponding frames F adjacent to each other in the vertical direction.

Because the carbon fiber member M processed in this way does not have a thickness exceeding the thickness t, i.e., the thickness before expansion, it is difficult to secure the rigidity required for supporting the weight of the work. And in this carbon fiber member M, because the frame F is not rotated, the work holding surface is in close contact with the back surface of the work. As a result, it is difficult to secure an escape space for the process gas. In addition, deposition of spatter is likely. And when the work W is placed on the upper part of the carbon fiber member M, the area of a part of the carbon fiber member M in contact with the work W is large. Therefore, welding with the workpiece W is likely. For this reason, the carbon fiber member M is preferably not used as the work holding body 30 .

19A Fig. 14 is a cross-sectional view of the frame F when the width a is larger than the thickness t. And 19B 12 is a cross-sectional view of the carbon fiber member M expanded when the shape of the frame is as shown in FIG 19A is shown. A case will be described here in which the carbon fiber member M in which the slits SL20 are formed such that the relationship of the width a to the thickness t is as shown in FIG 19A shown a > t, is expanded. In this case, as in 19B As shown, the frame F part is expanded while the orientation of the cross section is twisted in the direction of thickness t with a smaller secondary cross-sectional moment, thereby causing generation of an interval between the corresponding frames F adjacent to each other in the vertical direction.

Since the carbon fiber member M processed in this way has a thickness exceeding the thickness t, i.e., the thickness before expansion, the rigidity required for supporting the weight of the work can be easily secured. In this carbon fiber member M, since the surface facing the back surface of the work W is inclined due to the rotation of the frame F, a clearance with the work W is generated. Therefore sufficient escape rooms for the process gas can be ensured. When the work W is placed on the upper part of the carbon fiber member M, the carbon fiber member M is in line contact or point contact with the work W. Therefore, welding with the work W is less likely. And, in this carbon fiber member M, since the surface of the workpiece W facing the back surface is a slope and thus spatter is repelled in the lateral direction, spatter is less likely to be deposited. Therefore, the carbon fiber member M is suitable for use as a work holding body 30 .

Regarding the frame F, a maximum radius of the cross section R is represented by the following equation (4). $$\text{R}=\frac{1}{2}\sqrt{a^2+{\mathrm{<figure-callout\; id="2"\; label="t"\; filenames="DE112021003200T5\_0028.png,DE112021003200T5\_0035.png"\; state="\{\{state\}\}">t</figure-callout>}}^2}$$

Here, if the shear strength of the frame F is represented by T and the Young's modulus is represented by G, an allowable rotation angle φ of the frame F is represented by the following equation (5). $$\varphi =\frac{LxT}{GR}=\frac{2LxT}{G\sqrt{a^2+{\mathrm{<figure-callout\; id="2"\; label="t"\; filenames="DE112021003200T5\_0028.png,DE112021003200T5\_0035.png"\; state="\{\{state\}\}">t</figure-callout>}}^2}}$$

Further, the length Lx of the frame F is calculated by the following equation (6) using the lateral width LM of the carbon fiber member M, the interval s in the lateral direction between the staggered pattern slots SL20 and the number of the staggered pattern slots SL20 in one Row, ie the number n of connecting parts of the slots SL20 reproduced in two adjacent rows. $$\text{lx}=\left(\text{LM}-\text{ns}\right)/\left(\text{n}-\text{1}\right)$$

When the above equation (6) is substituted into the equation (5), the allowable rotation angle φ of the frame F is represented by the following equation (7). $$\varphi =\frac{2\left(LM-ns\right)T}{G\left(n-1\right)\sqrt{a^2+{\mathrm{<figure-callout\; id="2"\; label="t"\; filenames="DE112021003200T5\_0028.png,DE112021003200T5\_0035.png"\; state="\{\{state\}\}">t</figure-callout>}}^2}}$$

By changing the rotation angle φ of the frame F accordingly, the height of the carbon fiber extended member M (work holding body 30) can be adjusted.

20A and 20B 12 are explanatory views of an allowable opening size of the slit SL20 of a staggered pattern when the carbon fiber member M is expanded. Next, the allowable opening size w1 of the opening E of the slit SL20 of a staggered pattern when the carbon fiber member M is expanded will be described. The length L2 of the slot SL20 is given by the following expression (8), $$\text{L2}=\text{2Lx}+\text{s}$$

The allowable opening size w1 of the opening E of the in 20A The slit shown is as given in the following equation (9) using the length L2 of the slit SL20 of a staggered pattern described above, the thickness t, the width a, the Young's modulus G, the cross-sectional secondary modulus It about the axis orthogonal to the thickness t, a bending load P, and a deflection amount η of the slit SL20 of a staggered pattern. $$\text{w1}=\text{2}n=\text{2}\frac{\mathrm{<figure-callout\; id="3"\; label="P\; L\; H"\; filenames="DE112021003200T5\_0028.png,DE112021003200T5\_0035.png"\; state="\{\{state\}\}">P</figure-callout>}L{H}^{}{}^3}{192GIt}=\frac{\mathrm{<figure-callout\; id="3"\; label="P\; L\; H"\; filenames="DE112021003200T5\_0028.png,DE112021003200T5\_0035.png"\; state="\{\{state\}\}">P</figure-callout>}L{H}^{}{}^3}{96G}\frac{12}{a{\mathrm{<figure-callout\; id="3"\; label="t"\; filenames="DE112021003200T5\_0028.png,DE112021003200T5\_0035.png"\; state="\{\{state\}\}">t</figure-callout>}}^3}=\frac{P{\left(2Lx+s\right)}^3}{\mathrm{8th}Ga{\mathrm{<figure-callout\; id="3"\; label="t"\; filenames="DE112021003200T5\_0028.png,DE112021003200T5\_0035.png"\; state="\{\{state\}\}">t</figure-callout>}}^3}$$

wobei σ < Bruchspannung (Scherfestigkeit) des Rahmens F.It should be noted that as in 20B shown, the bending load P is a load applied to the middle position of the slot SL20 of a staggered pattern. When the bending load P is applied, the slit SL20 portion of a staggered pattern is deflected as indicated by the dashed lines so that the opening is as shown in FIG 20A shown is formed. The bending load P is calculated as given in the following equation (10) using the cross-sectional secondary moment la about the axis orthogonal to the width a, the maximum radius R of the cross-section, a length (for simplicity, the length of a beam fixed at both ends ) of the slit SL20 of a staggered pattern formed by the length Lx of the frame F and the interval s in the lateral direction between the slits SL20 in the same row Lh (= L2 (= 2Lx + s)) and a bending stress σ , to be restricted below a breaking stress of the carbon fiber member M, is reproduced. $$\text{P}=\frac{\mathrm{8th}Ia\cdot \sigma }{R\cdot LH}$$

where σ < ultimate stress (shear strength) of the frame F.

When the equations (5) and (9) described above are used, various parameters are set such that the rotation angle of the frame F and the allowable opening size w1 of the slot SL20 of the staggered pattern are desired values by using the carbon fiber member m with the predetermined shear strength and the predetermined modulus of elasticity is used. The parameters to be set include the thickness t and the lateral width LM of the carbon fiber member M, the width a which is the interval in the vertical direction between the staggered pattern slits SL20, the number n of the staggered pattern slits SL20 arranged in one row, and the interval s in the lateral direction between the slots SL20 of the staggered pattern.

21 14 is a table showing examples of the various parameters related to the specifications of the staggered pattern slit SL20 when the workpiece holding body is formed with the desired rotation angle φ of the frame F and the allowable opening size w1 of the staggered pattern slitter SL20. If equations (5) and (9) are used as described above, the various parameters can be used, for example, as in 1 until 3 from 21 shown to be used.

By expanding the carbon fiber member M after inserting the slits SL20 of the staggered pattern based on the parameters thus calculated, the workpiece holding body 30 having the desired shape characteristics can be formed. For example, by forming the workpiece holding body 30 with the methods described in No. 1 of FIG 21 parameters shown, the opening E of the mesh can be increased when expanding. This makes it easier for the process gas generated during cutting to escape, and spatter is less likely to accumulate. When the width a is widened, the workpiece holding body 30 is formed with high rigidity, so that it can stably hold the workpiece W even when the workpiece W is heavy. And when the length of the slit SL20 of the staggered pattern is shortened and the width a is narrowed, a larger number of mesh-like projections are formed, so that the work W can be stably held by a larger number of dots or lines even when the work W is small or extremely thin. Furthermore, by changing the respective slit positions of the slits SL20 of the staggered pattern according to a certain rule, a diagonal houndstooth pattern generated when expanding can also be set.

(Third embodiment)

An automatic calculation device in a third embodiment will be described below with reference to the accompanying drawings.

22 12 is a block diagram showing the configuration of an automatic calculation device 200 in a third embodiment. The automatic calculation device 200 according to the present invention is an automatic calculation device for generating a three-dimensional structure from a plate-shaped member. As the plate-shaped member, as shown in the first embodiment and the second embodiment, the thin plate-shaped carbon fiber member is suitable. However, this embodiment can be applied not only to the carbon fiber member but also to a plate-shaped member having no plasticity. Furthermore, this embodiment can be widely applied to a plate-shaped member having plasticity.

The automatic calculation device 200 is composed of, for example, a personal computer. The automatic computing device 200 includes a hardware processor such as a CPU (Central Processing Unit), a memory, and various interfaces. The memory and the various interfaces are connected to the hardware processor via buses.

The automatic calculation device 200 comprises a control device 210, an input/output interface 220 and a memory device 230.

The controller 210 consists of a hardware processor and a memory. The controller 210 operates as one or more information processing circuits that achieve various functions provided for the automatic calculator 200 . The one or more information processing circuits are implemented when the hardware processor executes a program stored in memory.

As the one or more information processing circuits, the controller 210 includes a data acquisition section 211, an arithmetic section 212, and an output section 213.

The data acquisition section 211 obtains condition data indicating a material of the plate-shaped member, a thickness of the plate-shaped member, and the three-dimensional shape of the three-dimensional structure. In order to elastically deform the plate-shaped member and form the three-dimensional structure, for a processing range in which the plate-shaped member is elastically deformed, the arithmetic section 212 performs layout processing for laying out the plurality of slits arranged in a staggered pattern. This layout processing includes processing for calculating the specifications of the slots of the staggered pattern based on the condition data obtained by the data acquisition section 211 . The output section 213 outputs the result of the layout processing by the arithmetic section 212 .

An input device 250 is connected to the input/output interface 220 . The input/output interface 220 outputs data that are output from the input device 250 to the control device 210 . The input device 250 is a device that outputs data input by a user's operation to the controller 210 . The data acquiring section 211 of the controller 210 can acquire the condition data based on the data output from the input device 250 .

A display device 260 is connected to the input/output interface 220 as an output device. The input/output interface 220 outputs data output from the control device 210 to the display device 260 . The display device 260 can display the data output by the control device 210 for the user. The output section 213 of the controller 210 can output to the display device 260 data including the result of the layout processing.

The storage device 230 is connected to the control device 210 . The storage device 230 stores the parameters indicative of mechanical properties of the plate-shaped member for each material of the plate-shaped member. As the mechanical properties, a safety coefficient f, Young's modulus G, bending stress σ, density ρ, etc. are relevant.

23 FIG. 12 is a flowchart showing an automatic calculation method executed by the automatic calculation device 200. FIG. The automatic calculation method executed by the automatic calculation device 200 according to the present invention will be described below. The automatic calculation method automatically performs a calculation for automatically deforming the plate-shaped member to create the three-dimensional structure. By executing the automatic calculation method, for the processing area in which the plate-shaped member is elastically deformed, the plurality of slits arranged in a staggered pattern can be designed. In other words, if the multiple slits are laid out in a staggered pattern for the processing area, the plate-shaped member can be bent or expanded.

24A 13 is a perspective view showing the external appearance of a three-dimensional structure 400 made of a plate-shaped member Mn. And 24B 14 is an explanatory view showing a plurality of slits SL30 provided for the plate-shaped member Mn arranged in a staggered pattern. In the following description, the three-dimensional structure 400 having an L-shaped cross section is produced by bending at an angle θ0 at a bending side Eb, which is the processing region of the plate-shaped member Mn. The multiple slits SL30 arranged in a staggered pattern are laid out for the processing area where bending is performed. Hereinafter, bending using the multiple slits SL30 arranged in a staggered pattern is referred to as “slit bending”.

In the same manner as in the first and second embodiments, the plurality of slits SL30 arranged in a staggered pattern are configured by lining up the plurality of slit rows in which the slits SL30 adjacent to each other are linear in the longitudinal direction of the slits SL30 in a spaced state with therebetween the connecting part (the interval s) with the lined-up rows of slits being spaced by the width a. Then, within the slit rows adjacent to each other, one slit row is configured such that the positions of the slits SL30 are offset with respect to the other slit row along the longitudinal direction of the slits SL30.

First, in step S<b>10 , the detecting section 211 obtains condition data including the material of the plate-shaped member Mn, a thickness t of the plate-shaped member Mn, and a three-dimensional shape of the three-dimensional structure 400 . The acquiring section 211 displays a predetermined input screen on the display device 260 and obtains the condition data from the data output from the input device 250 in accordance with the input screen content.

As in 24 As shown, the three-dimensional shape of the three-dimensional structure 400 is defined by various parameters such as a length of the bend side Eb, a bend angle θ0 on the bend side Eb, a bend radius r, and lengths A1 and A2 of the sides up to the bend side Eb. When the three-dimensional shape of the three-dimensional structure 400 is standardized beforehand, the detecting section 211 can obtain the parameters defining the three-dimensional shape via the input device 250 . Furthermore, the detecting section 211 may cause the three-dimensional shape of the three-dimensional structure 400 to be drawn via the input device 250 and obtain data defining the three-dimensional shape of the three-dimensional structure 400 from the drawn information. Furthermore, the detection section 211 can obtain graphic data indicating the three-dimensional shape of the three-dimensional structure 400 directly from an external device such as a CAD.

In step S11, the arithmetic section 212 determines whether plastic processing can be performed for the plate-shaped member Mn based on the material, the bending angle θ0 and the bending radius r. The arithmetic section 212 evaluates the material according to a predetermined determination condition and determines whether the plate-shaped member Mn has formability. If it is determined that the plate-shaped member Mn has no formability, the arithmetic section 212 determines that the plastic processing cannot be performed. On the other hand, when it is determined from the material that the plate-shaped member Mn has formability, the arithmetic section 212 determines whether the bending required for the bending side Eb can be performed by the plastic deformation further considering the bending angle θ0 and the bending radius r.

When the plastic processing cannot be performed, the arithmetic section 212 displays only “slit bend” on the display 260 as an option for bend types that can be selected by the user (step S12). On the other hand, when the plastic processing can be performed, the arithmetic section 212 displays types of bend by the plastic processing in addition to the "slit bend" on the display device 260 as the options for the bend types that can be selected by the user (step S13 ).

25 is an explanatory view showing the options for the bend types. Bend type options are displayed as a pull-down menu 261, for example. Pull-down menu 261 includes one or more bend types that can be selected by the user. Using this type of pull-down menu 261, the types of bending that can be performed for the plate-shaped member Mn can be selected (selection processing).

If slot bending is selected from the bend type options, an affirmative determination is made in step S14 and the process advances to step S15. On the other hand, if the slit bending is not selected from the types of bending, a negative determination is made in step S14 and the current routine is ended. In this case, processing is performed in accordance with the bend type selected by the user.

In step S15, the arithmetic section 212 refers to the storage device 230 and specifies specific parameters determined in accordance with the material of the plate-shaped member Mn. The specific parameters include safety coefficient f, elastic modulus G, bending stress σ, density ρ, etc.

In step S16, the arithmetic section 212 determines the width a, which is the interval in the vertical direction between the slits SL30 of a staggered pattern. For example, the initial value of the width a is the thickness t. However, the arithmetic section 212 can also change the width a from the initial value t in response to a user's operation.

In step S17, the arithmetic section 212 calculates parameters related to the slots SL30 of a staggered pattern. An example of the parameter calculation is described below, but the calculation method is not limited to this.

First, the arithmetic section 212 calculates the interval (the length of the connecting part) s in the lateral direction between the slots SL30 of a staggered pattern according to the following equation (11). $$s=\frac{{\displaystyle \sum s}}{n}=\frac{1}{n}\frac{ƒf0}{\cdot t\cdot \sigma }$$

In equation (11), F0 is a load (see 24A) and n is the number of connecting parts of the slits SL30 in two rows adjacent to each other, ie, the number of the slits SL30 of a staggered pattern per row. The initial value for this is 3.

$$L2=\frac{2\left(A0-s\cdot n\right)}{n-1}+s$$

The arithmetic section 212 calculates the length L1 of the slit SL30 at the end part and the length L2 of the slit SL30 at the middle according to the following equations (12) and (13). $$\mathrm{<figure-callout\; id="1"\; label="L"\; filenames="DE112021003200T5\_0028.png,DE112021003200T5\_0035.png"\; state="\{\{state\}\}">L</figure-callout>}1=\frac{A0-s\cdot n}{n-1}+s$$

$$\mathrm{<figure-callout\; id="2"\; label="L"\; filenames="DE112021003200T5\_0028.png,DE112021003200T5\_0035.png"\; state="\{\{state\}\}">L</figure-callout>}2=\frac{2\left(A0-s\cdot n\right)}{n-1}+s$$

The length Lx of the frame F sandwiched between the slots SL30 adjacent to each other in the vertical direction is given by the combination of the lengths L1 and L2 of the slots SL30 of the staggered pattern and the interval s in the lateral direction between as given in the following equation (14). are reproduced in the slots SL30 of the staggered pattern. $$\text{lx}=\text{L1}-\text{s}=\frac{1}{2}\left(\mathrm{<figure-callout\; id="2"\; label="L"\; filenames="DE112021003200T5\_0028.png,DE112021003200T5\_0035.png"\; state="\{\{state\}\}">L</figure-callout>}2-s\right)$$

Further, the arithmetic section 212 calculates the sectional secondary moment It around the axis orthogonal to the thickness t in the frame F, the sectional secondary moment la around the axis orthogonal to the width a in the frame F, and the sectional secondary moment Ip, respectively around the centroid of the cross-section in the frame F. These cross-sectional secondary moments It, Ia and Ip are represented by Equations (1) to (3) described above.

In step S17, the arithmetic section 212 calculates the deflection of the frame F. The deflection on the deflection side Eb, which is the processing range, is allowed when the frame F is rotated and deformed. For the rotation angle φ of the frame F, a relational equation can be formed from the thickness t, the width a, the length Lx of the frame F, the bending stress σ and the Young's modulus G as shown in the following equation (15). The arithmetic section 212 calculates the rotation angle φ of the frame F based on the equation (15). $$\varphi =\frac{2Lx\sigma }{G\sqrt{a^2+{\mathrm{<figure-callout\; id="2"\; label="t"\; filenames="DE112021003200T5\_0028.png,DE112021003200T5\_0035.png"\; state="\{\{state\}\}">t</figure-callout>}}^2}}$$

26 Fig. 14 is an explanatory view showing the enlarged bend side Eb. The bend angle θ0 required on the bend side Eb is the accumulation of the rotation angles φ of the respective frames F set to the bend side Eb. Therefore, the number N of the frames F is represented as given in the following equation (16). $$\text{N}=\mathrm{\theta }\text{0/}\phi -\text{1}$$

Through the processing of steps S17 and S18, the specifications of the plural slits SL30 arranged in a staggered pattern and laid out for the bend side Eb are determined. The specifications to be determined Slots SL30 include the length L2 of the slots SL30 of the staggered pattern, the length Lx of the frame F, the interval (the length of the connecting part) s in the lateral direction between the slots SL30, the width a which is the interval in the vertical direction between of the slots SL30, and the number of slot rows (the number N of frames F+1). By determining such specifications, the layout processing for laying out, for the bend side Eb, the plurality of slits SL30 arranged in a staggered pattern is completed.

In step S<b>19 , the output section 213 displays on the display device 260 the specifications of the staggered pattern slots SL<b>30 based on the calculation result of the arithmetic section 212 . The output destination of the specifications of the staggered pattern slits SL30 from the output section 213 is not limited to the display device 260 and may be the storage device 230 or an external device.

Then, by forming the slits SL30 of a staggered pattern in the plate-shaped member Mn based on the layout result, a base material for three-dimensional processing can be manufactured. For example, when the material of the plate-shaped member Mn is the carbon fiber member shown in the first and second embodiments, the carbon fiber member is manufactured for three-dimensional processing. When the base material is used for three-dimensional processing, the three-dimensional structure 400 can be produced by elastic deformation of the bend side Eb in which the slits SL30 of the staggered pattern are formed.

As described above, in this embodiment, the arithmetic section 212 can automatically calculate the specifications of the slits SL30 of a staggered pattern only by specifying the material of the plate-shaped member Mn, the thickness of the plate-shaped member Mn, and the three-dimensional shape of the three-dimensional structure 400. Thus, the slits SL 30 of a staggered pattern required for the three-dimensional processing can be automatically designed, thereby reducing the man-stage for design and the unit cost.

Furthermore, in this embodiment, within the adjacent slit rows, one slit row is configured such that the positions of the slit SL30 are offset along the lateral direction with respect to the other slit row. As a result, a required frame F is configured such that the plate-shaped member Mn is twisted and bent by the elastic deformation, so that the plate-shaped member Mn can be deformed in the three-dimensional direction. As a result, the plate-shaped member Mn can be bent into a desired state.

In this embodiment, the specifications of the staggered pattern slits SL30 include the length L2 of the staggered pattern slits SL30, the interval (the length of the connecting part) s in the lateral direction between the slits SL30, and the width a that defines the interval in the vertical direction between the slots is SL30. As a result, the parameters of the slots SL30 required for arranging a staggered pattern can be specified.

In this embodiment, the specifications of the slots SL30 of a staggered pattern include the number of slot rows (the number N of frames F+1). As a result, the parameters of the slots SL30 required for the arrangement in a staggered pattern can be specified.

In this embodiment, the arithmetic section 212 specifies the one or more processing types for three-dimensional processing in the three-dimensional structure 400 made of the plate-shaped member Mn based on the condition data, and then performs the selection processing with which the user selects the processing method from the one or the multiple processing types to choose from. According to this method, since the processing type can be suggested to the user, convenience is improved.

In this embodiment, the arithmetic section 212 performs the layout processing when the slitting (slit bending) of a staggered pattern is selected in the selection processing. Thereby, the layout processing can be performed in a situation where slit bending is required.

Furthermore, in this embodiment, the arithmetic section 212 calculates the specifications of the slots SL30 of a staggered pattern based on the rotation angle φ of the frame F, which can be obtained from the relational equation (the equation (15)). Because the torsion and the bending occurring in the frame F can be taken into account, the elastic deformation in the three-dimensional direction with respect to the plate-shaped member Mn can be calculated. In other words, when the condition data indicating the material of the plate-shaped member Mn, the thickness t of the plate-shaped member Mn and the three-dimensional shape are given as inputs, the arithmetic section 212 automatically performs the following calculations. Specifically, the arithmetic section 212 can specify the parameters (the safety coefficient f, the bending stress σ and the elastic modulus G) indicative of the mechanical properties of the plate-shaped member Mn by searching the storage device 230 using the material of the plate-shaped member Mn. Then, if the number n of the connecting parts of the slots SL30 in the two rows adjacent to each other is determined accordingly (for example, initial value = 3), the arithmetic section 212 can calculate the rotation angle φ of the frame F from the equation (15) using the thickness t, the width a, the safety coefficient f, the bending stress σ and the modulus of elasticity G of the plate-shaped member Mn. Then, the arithmetic section 212 can determine the number N of frames based on the bending angle θ and the turning angle φ of the frame F determined from the three-dimensional shape. In this way, the specifications of the staggered pattern slits SL30 required for the slit bending can be determined.

Note that in this embodiment, the automatic calculation method for a three-dimensional structure produced by bending (slit bending) has been described. However, the automatic calculation method of this embodiment can also be applied to the production of the three-dimensional structure Y8 with an extension as described in the first embodiment and the workpiece holding body 30 with an extension as described in the second embodiment. In the case of the three-dimensional structure Y8 with an extension as described in the first embodiment, the arithmetic section 212 can calculate the specifications of the required slits SL3 of a staggered pattern by estimating a height required for the rectangular part Q, also taking into account the opening sizes of the opening E in of the vertical direction and the lateral direction in addition to the rotation angle φ of the frame F are taken into account. And in the case of the workpiece holding body 30 with an extension as described in the second embodiment, the arithmetic section 212 can calculate the specifications of the required slits SL20 by estimating the opening E for holding the product after cutting, also knowing the opening sizes of the opening E in the vertical and lateral directions and a minimum size of the product after cutting are taken into account in addition to the rotation angle φ of the frame F.

Embodiments of the present invention have been described above, but the invention is not limited to the embodiments described and shown herein. The invention also encompasses various alternative embodiments, examples, and techniques.

The subject of the present application is with the in the Japanese Patent Application No. 2020-1011440 from June 10, 2020 and in the Japanese Patent Application No. 2020-145446 dated August 31, 2020, which is incorporated herein by reference.

QUOTES INCLUDED IN DESCRIPTION

This list of documents cited by the applicant was generated automatically and is included solely for the better information of the reader. The list is not part of the German patent or utility model application. The DPMA assumes no liability for any errors or omissions.

Patent Literature Cited

• JP2007237291 [0004]
• JP 20201011440 [0117]
• JP 2020145446 [0117]

Claims (9)

Automatic calculation device for generating a structure with a three-dimensional shape from a plate-shaped member, the automatic calculation device comprising: a data acquisition section configured to obtain condition data indicative of a material of the plate-shaped member, a thickness of the plate-shaped member, and the three-dimensional shape, an arithmetic section configured to execute, for a processing area in which the plate-shaped member is to be elastically deformed, layout processing for laying out a plurality of slits arranged in a staggered pattern so that the plate-shaped member is elastically deformed for generating the structure, and an output section configured to output a result of layout processing by the arithmetic section, wherein the layout processing includes processing for calculating specifications of the slots of a staggered pattern based on the condition data obtained by the data acquisition section. Automatic calculation device according to claim 1 wherein: the slits of the staggered pattern are configured by lining up a plurality of slit rows in which the slits adjacent to each other are linearly arranged in a longitudinal direction of the slits with an interval between the slits, the lined-up slit rows in a direction orthogonal to the longitudinal direction of the slits are spaced apart, and within the slit rows adjacent to each other, one slit row is configured such that the positions of the slits are offset with respect to the other slit row along the longitudinal direction of the slits. Automatic calculation device according to claim 2 wherein specifications of the slits of the staggered pattern include a length of the slits, an interval between the slits in the longitudinal direction of the slits, and a width, which is an interval between the slits in the direction orthogonal to the longitudinal direction of the slits. Automatic calculation device according to claim 3 , wherein the specifications of the slits of the staggered pattern include a number of the slit rows. Automatic calculation device according to one of Claims 1 until 4 , wherein the arithmetic section is configured to: specify one or more processing types for three-dimensional processing of the plate-shaped member structure based on the condition data, and perform selection processing with which a user can select a processing method within the one or more processing types. Automatic calculation device according to the claim 5 , wherein: the one or more processing methods comprises slitting a staggered pattern for elastically deforming the processing area by expanding each of the slits of the staggered pattern in the direction orthogonal to the longitudinal direction of the slits, and the arithmetic section is configured to perform the layout processing , when staggered pattern slitting is selected in selection processing. Automatic calculation device according to one of Claims 1 until 6 , wherein the arithmetic section is configured to store a relational equation related to a rotation angle of a frame that is a part sandwiched between the slots adjacent to each other, and to calculate the specifications of the slots of the staggered pattern based on the rotation angle obtained from the relational equation of the frame. An automatic calculation method for generating a structure having a three-dimensional shape from a plate-shaped member, carried out by a computer, the automatic calculation method comprising: obtaining condition data indicating a material of the plate-shaped member, a thickness of the plate-shaped member and the three-dimensional shape, laying out a plurality of slits arranged in a staggered pattern for a processing area in which the plate-shaped member is to be elastically deformed, so that the plate-shaped member is elastically deformed for the formation of the structure, and outputting a result of the laying out, wherein the designing comprises calculating specifications of the slots of a staggered pattern based on the condition data obtained by the obtaining. A method of manufacturing a base material for three-dimensional processing for producing a structure having a three-dimensional shape, wherein the base material for three-dimensional processing is manufactured from a plate-shaped member, the method of manufacturing the base material for a three-dimensional nal processing includes: obtaining condition data indicative of a material of the plate-shaped member, a thickness of the plate-shaped member and the three-dimensional shape, laying out a plurality of slits arranged in a staggered pattern, for a processing range in which the plate-shaped member is to be elastically deformed, so that the plate-shaped member is elastically deformed to produce the structure, and shaping the base material for three-dimensional processing by shaping the slits of the staggered pattern in the plate-shaped material in a staggered pattern based on the design result of the design, the design including the calculation of specifications of the slots of the staggered pattern based on the condition data obtained by the obtaining.

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