Full-automatic three-dimensional pipe bending machine

The fully automatic three-dimensional pipe bending machine, which integrates rotation and shaping devices, solves the problem that existing pipe bending machines cannot meet the processing of complex three-dimensional pipes, and realizes efficient and accurate three-dimensional bending processing, improving production efficiency and the flexibility and applicability of the equipment.

CN223733609UActive Publication Date: 2025-12-30GUANGZHOU YIWEI INTELLIGENT EQUIP CO LTD
View PDF 0 Cites 0 Cited by

Patent Information

Application Number
CN202520267108.0
Authority / Receiving Office
CN · China
Patent Type
Utility models(China)
Current Assignee / Owner
Filing Date
2025-02-19
Publication Date
2025-12-30
Estimated Expiration
2035-02-19

AI Technical Summary

Technical Problem

Existing fully automatic pipe bending machines cannot meet the processing requirements of complex three-dimensional pipe fittings, and their processing efficiency and accuracy are insufficient.

Method used

A fully automatic three-dimensional pipe bending machine was designed, integrating a rotating device and a rotating shaping device, combined with a support device, a linear moving device, a clamping device, a material support device, and a material unloading device. The three-dimensional bending process of the pipe fittings is realized through the control system, ensuring processing accuracy and consistency.

Benefits of technology

It enables three-dimensional machining of complex pipe fittings, improves processing flexibility and applicability, ensures high precision and consistency, increases production efficiency, reduces labor costs, and facilitates equipment installation, commissioning and maintenance.

✦ Generated by Eureka AI based on patent content.

Smart Images

  • Figure CN223733609U_ABST
    Figure CN223733609U_ABST
Patent Text Reader

Abstract

The utility model relates to the technical field of pipe fitting machining equipment, and discloses a full-automatic three-dimensional pipe bending machine which comprises a rack. The supporting device comprises a supporting frame and an inner rod, and the inner rod is used for sleeving a to-be-machined pipe fitting; the first linear moving device is mounted on the rack and is arranged below the inner rod; the clamping device is mounted on the first linear moving device; the clamping device is used for clamping a to-be-machined pipe fitting; the rotating device is arranged on the clamping device and used for driving the pipe fitting to be machined to rotate. The rotary shaping device is installed on the rack and arranged on one side of the clamping device and drives to shape a pipe fitting to be machined. The material supporting device is arranged on one side of the rotary shaping device and drives the pipe fitting to be machined to be supported. The control system is used for receiving signals and outputting the signals. The utility model has the advantages.
Need to check novelty before this filing date? Find Prior Art

Description

TECHNICAL FIELD

[0001] The utility model relates to technical field especially relates to a full -automatic three -dimensional pipe bender. BACKGROUND

[0002] In the metal processing industry, pipe bending is a common processing technology used to manufacture various shapes of pipes to meet specific engineering requirements. Traditional pipe bending operations often rely on manual operation or semi-automatic equipment, which not only has low efficiency, but also is difficult to guarantee the processing precision and consistency of pipe fittings. With the continuous development of industrial automation, full-automatic pipe benders gradually emerge and become an important means to improve production efficiency and processing quality.

[0003] However, the existing full-automatic pipe benders still have many deficiencies in function and performance. For example, some pipe benders can only perform simple two-dimensional bending and cannot meet the processing needs of complex three-dimensional pipe fittings.

[0004] Therefore, it is necessary to improve it. INVENTION CONTENTS

[0005] The technical problem solved by the utility model is to provide a full-automatic three-dimensional pipe bender to solve the problems raised in the background art in view of the defects in the prior art.

[0006] To solve the above technical problems, the technical scheme adopted by the utility model is as follows: a full-automatic three-dimensional pipe bender, comprising: a rack for installing and supporting mechanical components; a support device installed on the rack; the support device comprises a support frame and an inner rod transversely installed on the support frame, the inner rod is used for sleeving a pipe fitting to be processed; a first linear moving device installed on the rack below the inner rod; a clamping device installed on the first linear moving device; the clamping device is used for clamping the pipe fitting to be processed; a rotating device provided on the clamping device, the rotating device is used to drive the pipe fitting to be processed to rotate; a rotary shaping device installed on the rack on one side of the clamping device, the rotary shaping device drives the pipe fitting to be processed to be shaped; a material supporting device provided on one side of the rotary shaping device, the material supporting device drives the pipe fitting to be processed to be supported; a control system installed on the rack, the control system is used for receiving signals and outputting signals.

[0007] Further, the support device comprises a first air cylinder, and the inner rod is installed on the output end of the first air cylinder.

[0008] Further, the first linear moving device comprises a first motor installed in the frame, a first screw rod installed on the end face of the frame, and a slide rail arranged in parallel with the first screw rod; wherein the first screw rod is driven by the first motor.

[0009] Further, the clamping device comprises a base sleeved on the first screw rod, a shell installed on the base, a clamping jaw arranged on the shell, a sleeve sleeved on the clamping jaw, and a second cylinder installed outside the shell; wherein the output end of the second cylinder is connected with the sleeve, and the second cylinder drives the sleeve to move along the clamping jaw, so as to make the clamping jaw contract or release the pipe.

[0010] Further, the rotating device comprises a second motor installed on the base and a first rotating shaft arranged in the base; the first rotating shaft is driven by the second motor, and the end of the first rotating shaft is connected with the clamping jaw.

[0011] Further, the rotating shaping device comprises a mounting bracket connected with the frame, a third motor arranged on the mounting bracket, a second rotating shaft connected with the output end of the third motor, a first shaping die arranged at the end position of the second rotating shaft, a first mounting shell sleeved on the second rotating shaft, a third cylinder arranged at the lower part of the first mounting shell, a first hinge group arranged in the first mounting shell and connected with the telescopic end of the third cylinder, and a second shaping die connected with the first hinge group; wherein the third cylinder drives the first hinge group to drive the second shaping die, and the second shaping die moves to the first shaping die to clamp the pipe to be processed; the second rotating shaft is driven to rotate by the third motor, so as to shape the pipe to be processed.

[0012] Further, the material supporting device comprises a second mounting shell arranged on the mounting bracket, a fourth cylinder arranged at the lower part of the second mounting shell, a second hinge group arranged in the second mounting shell and connected with the telescopic end of the fourth cylinder, and a third shaping die connected with the second hinge group; wherein the fourth cylinder drives the second hinge group to drive the third shaping die, and the third shaping die moves to the pipe to be processed to support it.

[0013] Further, the material supporting device comprises a second mounting shell arranged on the mounting bracket, a fourth cylinder arranged at the lower part of the second mounting shell, a second hinge group arranged in the second mounting shell and connected with the telescopic end of the fourth cylinder, and a third shaping die connected with the second hinge group; wherein the fourth cylinder drives the second hinge group to drive the third shaping die, and the third shaping die moves to the pipe to be processed to support it.

[0014] Compared with the prior art, the bending machine has the beneficial effects that

[0015] 1. Three-dimensional processing capability: by integrating the rotating device and the rotary shaping device, the bending machine can realize three-dimensional bending processing of the pipe, meet the demand of complex pipe shape, and greatly improve the flexibility and applicability of processing.

[0016] 2. High precision and consistency: the automatic clamping device, the rotating device and the shaping device are adopted, so that the stability and precision of the pipe during processing are ensured, and the processed pipe has high dimensional consistency and shape accuracy.

[0017] 3. High efficiency and automation: the whole processing process is uniformly scheduled by the control system, realizes the whole automation from pipe feeding, clamping, rotating, shaping to material discharging, significantly improves the production efficiency, and reduces the labor cost.

[0018] 4. Modular design: the support device, the linear moving device, the clamping device, the rotating device and the shaping device are all designed in a modular way, which is convenient for installation, debugging and maintenance, and also provides convenience for equipment upgrading and modification.

[0019] 5. The design of the material supporting device ensures the stability and safety of the pipe during shaping, avoids the quality problems caused by deformation or damage of the pipe, and further improves the processing quality.

[0020] 6. The convenience of the material discharging device: the addition of the material discharging device enables the pipe to automatically exit after completing processing, simplifies the operation process and improves the work efficiency. BRIEF DESCRIPTION OF DRAWINGS

[0021] Figure 1 is a structural schematic diagram of the utility model.

[0022] Figure 2 is another angle structural schematic diagram of the utility model.

[0023] Figure 3 is a partial structural schematic diagram of the utility model.

[0024] Figure 4 is a structural schematic diagram of the support device.

[0025] Figure 5 is a structural schematic diagram of the first linear moving device.

[0026] Figure 6 is a structural schematic diagram of the clamping device, the material discharging device and the rotating device.

[0027] Figure 7 is another angle structural schematic diagram of Figure 6 .

[0028] Figure 8 yes Figure 6 A cross-sectional view.

[0029] Figure 9 This is a schematic diagram of the rotary shaping device.

[0030] Figure 10 yes Figure 9 Another structural diagram from another angle.

[0031] Figure 11 yes Figure 9 A partial structural diagram.

[0032] Figure 12 yes Figure 9 A partial structural diagram.

[0033] Reference numerals: 1. Frame; 2. Support device; 3. Support frame; 4. Inner rod; 5. First linear moving device; 6. Clamping device; 7. Rotating device; 8. Rotating shaping device; 9. Material support device; 10. Control system; 11. First cylinder; 12. First motor; 13. First lead screw; 14. Slide rail; 15. Base; 16. Housing; 17. Gripper; 18. Sleeve; 19. Second cylinder; 20. Second motor; 21. First rotating shaft; 22. Mounting bracket; 23. Third motor; 24. Second rotating shaft; 25. First shaping die; 26. First mounting shell; 27. Third cylinder; 28. First hinge group; 29. ​​Second shaping die; 30. Second mounting shell; 31. Fourth cylinder; 32. Second hinge group; 33. Third shaping die; 34. Material ejection device; 35. Fifth cylinder; 36. Connecting plate; 37. Outer tube. Detailed Implementation

[0034] The present invention will now be described in further detail with reference to the accompanying drawings.

[0035] The embodiments described with reference to the drawings are exemplary and are intended to be illustrative of the present application and are not to be construed as limiting the present application. In the description of the present application, it is to be understood that the terms "center", "longitudinal", "lateral", "length", "width", "thickness", "upper", "lower", "front", "back", "left", "right", "vertical", "horizontal", "top", "bottom", "inner", "outer", "clockwise", "counterclockwise", and the like indicate an orientation or positional relationship based on the orientation or positional relationship shown in the drawings and are used only for convenience in describing the present application and simplifying the description, and thus cannot be construed as indicating or implying that a device or an element referred to must have a particular orientation, be constructed and operated in a particular orientation, and therefore cannot be construed as limiting the present application. In addition, the terms "first", "second" are used only for descriptive purposes and cannot be construed as indicating or implying relative importance or implicitly indicating the number of technical features indicated. Therefore, the features defined as "first", "second" can explicitly or implicitly include one or more of the features. In the description of the present application, the meaning of "several", "a plurality of" is two or more, unless otherwise explicitly specified and limited. In the present application, unless otherwise explicitly specified and limited, the terms "mounting", "connection", "connection", "fixing" and the like should be interpreted broadly, for example, it can be fixedly connected, or it can be detachably connected, or it can be integrally connected; it can be mechanically connected, or it can be electrically connected; it can be directly connected, or it can be indirectly connected through an intermediate medium, or it can be connected between two elements. For those skilled in the art, the specific meaning of the above terms in the present application can be understood according to the specific circumstances. In the present application, unless otherwise explicitly specified and limited, the first feature "above" or "below" the second feature can include the first and second features directly contacting each other, or the first and second features not directly contacting each other but contacting each other through another feature between them. Moreover, the first feature "above", "above" and "above" the second feature includes the first feature above and obliquely above the second feature, or only indicates that the first feature is higher than the second feature in horizontal height. The first feature "below", "below" and "below" the second feature includes the first feature above and obliquely above the second feature, or only indicates that the first feature is lower than the second feature in horizontal height.

[0036] In view of the technical problems described in the background art, such as Figures 1-12As shown, a full-automatic three-dimensional pipe bending machine is provided, comprising: a rack 1 for installing and supporting mechanical components; a supporting device 2 installed on the rack 1; the supporting device 2 comprises a support frame 3 and an inner rod 4 transversely installed on the support frame 3, the inner rod 4 is used for sleeving a pipe to be processed; a first linear moving device 5 installed on the rack 1 and placed below the inner rod 4; a clamping device 6 installed on the first linear moving device 5; the clamping device 6 is used for clamping the pipe to be processed; a rotating device 7 provided on the clamping device, the rotating device 7 is used to drive the pipe to be processed to rotate; a rotating shaping device 8 installed on the rack 1 and placed on one side of the clamping device 6, the rotating shaping device 8 drives the pipe to be processed to be shaped; a material supporting device 9 provided on one side of the rotating shaping device 8, the material supporting device 9 drives the pipe to be processed to be supported; a control system 10 installed on the rack 1, the control system 10 is used for receiving signals and outputting signals.

[0037] In the above technical solution, the rack 1 is selected according to the implementation. The control system 10 is responsible for coordinating the work of each component to ensure the smooth progress of the entire processing process. The control system 10 can adopt a control unit such as PLC or single-chip microcomputer combined with a display screen to realize automatic control through programming.

[0038] The specific implementation process is: the pipe to be processed is sleeved on the inner rod 4 of the supporting device 2, and the clamping device 6 drives the pipe on the inner rod 4 to be clamped. The first linear moving device 5 drives the clamping device and the pipe to be processed to move, and when the pipe to be processed moves to the position set by the program, the rotating shaping device 8 and the material supporting device 9 drive the pipe to be processed to be shaped, wherein the rotating shaping device 8 is mainly used for bending the pipe, and the material supporting device 9 is used for supporting the bending position of the pipe to ensure the stability and safety of the pipe during shaping, and to avoid deformation or damage of the pipe. The rotating device 7 further drives the pipe to be processed to rotate, and the pipe to be processed is further shaped by the rotating shaping device 8 and the material supporting device 9. Thus, the pipe bending operation of the pipe set by the program is completed.

[0039] Through the technical scheme, full-automatic machining operation is realized from pipe clamping, rotation, shaping, and production efficiency is effectively improved; the combined structural arrangement of the supporting device 2, the first linear moving device 5, the clamping device 6, the rotating device 7, the rotating and shaping device 8 and the material supporting device 9 provides a novel structure, realizes three-dimensional bending machining of the pipe, meets the demand of complex pipe shape, and greatly improves the flexibility and applicability of machining; the supporting device 2, the first linear moving device 5, the clamping device 6, the rotating device 7, the shaping device and the like are all modularly designed, facilitating installation, debugging and maintenance, and also providing convenience for upgrading and modification of the equipment.

[0040] As shown in Figure 4 The supporting device 2 includes a first cylinder 11, and the inner rod 4 is installed on the output end of the first cylinder 11.

[0041] Specifically, the adopted supporting device 2 includes a supporting frame 3, a first cylinder 11 and an inner rod 4, the supporting frame 3 is detachably connected with the rack 1, facilitating adjustment of the position of the supporting frame 3, the telescopic end of the first cylinder 11 is connected with the inner rod 4, and the position of the inner rod 4 is adjusted via the first cylinder 11, so as to meet the installation position demand of the pipe to be machined.

[0042] As shown in Figure 5 The first linear moving device 5 includes a first motor 12 installed in the rack 1, a first lead screw 13 installed on the end face of the rack 1 and a slide rail 14 arranged in parallel with the first lead screw 13; wherein the first lead screw 13 is driven by the first motor 12.

[0043] In implementation, the first motor 12 and the first lead screw 13 can be driven by a belt, a chain or a gear, and the rotation of the first motor 12 drives the rotation of the first lead screw 13, since the clamping device 6 is sleeved on the first lead screw 13 and placed on the slide rail 14, the clamping device 6 is moved on the slide rail 14, and the position of the clamping device 6 is changed, thereby indirectly realizing machining of other positions of the pipe.

[0044] As shown in Figures 6-8 The clamping device 6 includes a base 15 sleeved on the first lead screw 13, a shell 16 installed on the base 15, a clamping jaw 17 arranged on the shell 16, a sleeve 18 sleeved on the clamping jaw 17 and a second cylinder 19 installed outside the shell 16; wherein the output end of the second cylinder 19 is connected with the sleeve 18, and the second cylinder 19 drives the sleeve 18 to move along the clamping jaw 17, so that the clamping jaw 17 is retracted to clamp or release the pipe.

[0045] The clamping device 6 is mainly used for clamping and releasing the pipe. Specifically, the base 15 is connected with the first screw rod 13 through a screw rod nut, and the base 15 is arranged on the slide rail 14. The shell 16 is arranged on the base 15, and the clamping jaw 17 is arranged at the end of the shell 16 close to the rotary shaping device 8. The clamping jaw 17 is formed by a plurality of claws arranged in a circle. When the plurality of claws are closed, the pipe is clamped; when the plurality of claws are opened, the pipe is released. Preferably, three claws are used to form the clamping jaw 17 in the embodiment. The sleeve pipe 18 is sleeved on the clamping jaw 17, and the sleeve pipe 18 is driven by the second air cylinder 19. By using the structure, in use, the sleeve pipe 18 is driven to move by the second air cylinder 19, and the clamping jaw 17 is clamped or released on the pipe by the sleeve pipe 18.

[0046] The rotary device 7 comprises a second motor 20 arranged on the base 15 and a first rotary shaft 21 arranged in the base 15. The first rotary shaft 21 is driven by the second motor 20, and the end of the first rotary shaft 21 is connected with the clamping jaw 17.

[0047] The rotary device 7 is mainly used for three-dimensional machining of the pipe. The first rotary shaft 21 is connected with the clamping jaw 17, the second motor 20 is driven to rotate the first rotary shaft 21 by using belt transmission, chain transmission or gear transmission, and since the first rotary shaft 21 is connected with the clamping jaw 17, the pipe is driven to rotate, so that the three-dimensional machining operation of the pipe is achieved.

[0048] Referring to Figures 9-12 The rotary shaping device 8 comprises a mounting bracket 22 connected with the rack 1, a third motor 23 arranged on the mounting bracket 22, a second rotary shaft 24 connected with the output end of the third motor 23, a first shaping die head 25 arranged at the upper end of the second rotary shaft 24, a first mounting shell 26 sleeved on the second rotary shaft 24, a third air cylinder 27 arranged at the lower part of the first mounting shell 26, a first hinge set 28 arranged in the first mounting shell 26 and connected with the telescopic end of the third air cylinder 27, and a second shaping die head 29 connected with the first hinge set 28. The third air cylinder 27 drives the first hinge set 28 to drive the second shaping die head 29, the second shaping die head 29 is moved to clamp the pipe to be machined, and the second rotary shaft 24 is driven to rotate by the third motor 23 to shape the pipe to be machined.

[0049] The first shaping die 25 and the second shaping die 29 are provided with groove positions suitable for pipe fittings, and when the first shaping die 25 and the second shaping die 29 are matched, the profile clamping of the pipe fitting is formed. The specific movement process is as follows: after the pipe fitting to be processed is sleeved on the inner rod 4, the rod is placed in the groove position of the first shaping die 25, when the third cylinder 27 is driven, the second shaping die 29 is driven by the first hinge group 28, and the second shaping die 29 moves to the first shaping die 25 to form clamping of the pipe fitting, and then the third motor 23 drives the second rotating shaft 24 to rotate, since the first shaping die 25 and the second shaping die 29 are both installed on the second rotating shaft 24, the pipe fitting is clamped and bent.

[0050] The material supporting device 9 comprises a second mounting shell 30 arranged on the mounting bracket 22, a fourth cylinder 31 arranged at the lower part of the second mounting shell 30, a second hinge group 32 arranged in the second mounting shell 30 and connected with the telescopic end of the fourth cylinder 31, and a third shaping die 33 connected with the second hinge group 32.

[0051] The design of the material supporting device 9 ensures the stability and safety of the pipe fitting during the shaping process, and avoids quality problems caused by deformation or damage of the pipe fitting. Specifically, the fourth cylinder 31 drives the second hinge group 32 to drive the third shaping die 33 to move to the position of the pipe fitting, and since the groove on the third shaping die 33 is matched, the pipe fitting can be prevented from being deformed by turning out at the bending position when the second rotating shaft 24 rotates to bend the pipe fitting.

[0052] As shown in Figures 6-8 The utility model discloses a material returning device 34, which is arranged on the clamping device 6. The material returning device 34 comprises a fifth cylinder 35 arranged on the shell 16, a connecting plate 36 arranged on the telescopic end of the fifth cylinder 35, and an outer pipe 37 arranged on the connecting plate 36. The outer pipe 37 is sleeved on the inner rod 4, and the fifth cylinder 35 drives the outer pipe 37 to push the pipe fitting sleeved on the inner rod 4 out.

[0053] Further, in order to facilitate the pipe fitting to exit from the inner rod 4, the material returning device 34 is designed. The specific use process is as follows: the fifth cylinder 35 drives the outer pipe 37 to move, i.e. the pipe fitting is sleeved on the inner rod 4, and the outer pipe 37 moves on the inner rod 4 to push the pipe fitting out of the inner rod 4.

[0054] The above is not intended to limit the technical scope of the utility model in any way. Any modification, equivalent change and modification made to the above embodiments in accordance with the technical essence of the utility model still falls within the scope of the technical solution of the utility model.

Claims

1. A fully automatic three-dimensional tube bender characterized by comprising: It comprises: a rack for mounting and supporting mechanical components; a supporting device mounted on the rack; the supporting device comprises a supporting frame and an inner rod transversely mounted on the supporting frame, the inner rod is used for sleeving a pipe to be processed; a first linear moving device mounted on the rack and placed below the inner rod; a clamping device mounted on the first linear moving device; the clamping device is used for clamping the pipe to be processed; a rotating device provided on the clamping device, the rotating device is used for driving the pipe to be processed to rotate; a rotating shaping device mounted on the rack and placed on one side of the clamping device, the rotating shaping device drives the pipe to be processed to be shaped; a material supporting device provided on one side of the rotating shaping device, the material supporting device drives the pipe to be processed to be supported; a control system mounted on the rack, the control system is used for receiving signals and outputting signals.

2. The full-automatic three-dimensional pipe bender according to claim 1, wherein: the supporting device comprises a first air cylinder, and the inner rod is mounted on an output end of the first air cylinder.

3. The full-automatic three-dimensional pipe bender according to claim 2, wherein: the first linear moving device comprises a first motor mounted in the rack, a first screw rod mounted on an end surface of the rack, and a slide rail provided in parallel with the first screw rod; the first screw rod is driven by the first motor.

4. The full-automatic three-dimensional pipe bender according to claim 3, wherein: the clamping device comprises a base sleeved on the first screw rod, a housing mounted on the base, a clamping jaw provided on the housing, a sleeve sleeved on the clamping jaw, and a second air cylinder mounted outside the housing; an output end of the second air cylinder is connected with the sleeve, and the second air cylinder drives the sleeve to move along the clamping jaw so that the clamping jaw is contracted to clamp or release the pipe.

5. The full-automatic three-dimensional pipe bender according to claim 4, wherein: the rotating device comprises a second motor mounted on the base and a first rotating shaft provided in the base; the first rotating shaft is driven by the second motor, and an end portion of the first rotating shaft is connected with the clamping jaw.

6. The full-automatic three-dimensional pipe bender according to claim 5, wherein: the rotating shaping device comprises a mounting bracket connected with the rack, a third motor provided on the mounting bracket, a second rotating shaft connected with an output end of the third motor, a first shaping die provided at an end portion position of the second rotating shaft, a first mounting shell sleeved on the second rotating shaft, a third air cylinder provided at a lower portion of the first mounting shell, a first hinge group provided in the first mounting shell and connected with an extension end of the third air cylinder, and a second shaping die connected with the first hinge group. The third cylinder drives the first hinge group to drive the second shaping die, the second shaping die moves to the first shaping die to clamp the pipe to be processed; the second rotating shaft is driven to rotate by the third motor to shape the pipe to be processed.

7. The full-automatic three-dimensional pipe bending machine according to claim 6, characterized in that: The material supporting device comprises a second mounting shell arranged on the mounting bracket, a fourth cylinder arranged at the lower part of the second mounting shell, a second hinge group arranged in the second mounting shell and connected with the telescopic end of the fourth cylinder, and a third shaping die connected with the second hinge group; The fourth cylinder drives the second hinge group to drive the third shaping die, and the third shaping die moves to support the pipe to be processed.

8. The full-automatic three-dimensional pipe bending machine according to claim 7, characterized in that: The material supporting device comprises a second mounting shell arranged on the mounting bracket, a fourth cylinder arranged at the lower part of the second mounting shell, a second hinge group arranged in the second mounting shell and connected with the telescopic end of the fourth cylinder, and a third shaping die connected with the second hinge group; The outer pipe is sleeved on the inner rod, and the outer pipe drives the pipe sleeved on the inner rod to be pushed out by the fifth cylinder.