A fully automatic anodic oxidation equipment for the surface of aluminum profiles and its oxidation method

By designing a fully automatic surface anodizing equipment for aluminum profiles, the current stability is ensured by using tracks and spreader systems, and the temperature inhomogeneity is reduced through the wave movement of the spreader, the problems of current instability and temperature inhomogeneity in the prior art are solved, and the uniform generation of oxide films and high-quality oxidation effect are achieved.

CN116356400BActive Publication Date: 2025-07-01CHIZHOU ON NEW MATERIALS TECH CO LTD
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Patent Information

Application Number
CN202310235029.7
Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
Filing Date
2023-03-13
Publication Date
2025-07-01
Estimated Expiration
2043-03-13

AI Technical Summary

Technical Problem

When existing anodizing equipment deals with larger aluminum profiles, the current instability and uneven temperature problems lead to uneven thickness of the oxide film, which affects the oxidation quality.

Method used

A fully automatic aluminum profile surface anodizing equipment is designed, using tracks and spreader systems to ensure the stability of the current, and the wave movement of the spreader in the anodizing pool is reduced to reduce local temperature rise and improve the uniformity of the oxide film.

Benefits of technology

The stability of current and uniform generation of the oxide film are achieved, the quality of anodizing is improved, and the generation time of the oxide film is extended.

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Abstract

The present application discloses a fully automatic anodic oxidation device for the surface of aluminum profiles. The sliding frame can move along the track. An elevating frame is movably connected below the sliding frame, and the elevating frame can move up and down. A towing rope is provided between the sliding frame and the elevating frame. The top of the braking member abuts against the track to achieve braking, and the braking member releases when the elevating frame moves upward by a certain amount, enabling the free sliding of the sliding frame. The sling always remains in a charged state, and at the same time, the contact area of the electrical connection position is increased to ensure the stability of the current during anodic oxidation. Secondly, the sling continuously moves in a wave form in the anodic oxidation bath, and its position is not fixed, which can not only avoid too rapid local temperature rise but also reduce the influence caused by too high local temperature. At the same time, the movement of the sling and the profiles also speeds up the flow of the electrolyte, increases convection, reduces the non-uniformity of the water temperature in the bath, and ensures the formation quality of the oxide film.
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Description

Technical Field

[0001] This application relates to the technical field of anodic oxidation equipment, and particularly to a fully automatic anodic oxidation equipment for the surface of aluminum profiles and its oxidation method. Background Art

[0002] Aluminum alloy is an important basic material for the national economy and national defense industry, with a huge market capacity. In order to overcome the defects of aluminum alloy in terms of surface hardness, wear resistance, etc., expand the application range, and extend the service life, surface treatment technology has become an indispensable part in the use of aluminum alloy, and anodic oxidation technology is the most widely used and most successful.

[0003] Anodic oxidation is an electrolytic oxidation process in which the surface of aluminum and aluminum alloys is usually converted into an oxide film. Generally speaking, anodic oxidation has relatively high requirements for the stability of the current. When the passed current is unstable, it will cause the thickness of the generated oxide film to be uneven, reducing the oxidation quality. For the oxidation of the surface of larger profiles, generally, the transfer of profiles between different chemical baths is achieved by gantry hoisting. When the gantry places the profiles into the anodic oxidation bath, due to factors such as movement errors, structural deformation, and oxidation at the joints, poor contact of the hanging fixtures will occur, resulting in unstable current and uneven thickness of the generated oxide film.

[0004] Secondly, when the profiles are oxidized, the resistance of the oxide film will cause the temperature of the nearby electrolyte to rise, and the change in temperature will directly affect the dissolution rate of the oxide film, thereby affecting the thickness of the oxide film. Generally speaking, anodic oxidation needs to be carried out at a low temperature. Generally, a heat exchanger is connected to the upper end of the oxidation bath. After the heated electrolyte is cooled by the heat exchanger, it flows back into the oxidation bath to maintain the low temperature state of the oxidation bath. However, for a larger oxidation tank, it takes a long time to mix the hot and cold evenly, and the placement positions of the profiles during gantry hoisting are roughly the same, with a temperature difference from the nearby coolant, that is, each time the profiles are placed, they are located at positions with uneven temperature, affecting the quality of anodic oxidation. Summary of the Invention

[0005] This application proposes a fully automatic anodic oxidation equipment for the surface of aluminum profiles and its oxidation method, which always conducts electricity to ensure the stability of the current, and at the same time reduces the temperature difference at each position during the reaction, enabling the oxide film to be generated evenly.

[0006] To achieve the above object, this application adopts the following technical solution: A fully automatic anodic oxidation equipment for the surface of aluminum profiles, comprising:

[0007] A plurality of chemical baths, at least one of which is filled with an electrolyte for anodic oxidation;

[0008] A track, arranged above the chemical baths, distributed in the direction of the anodic oxidation process sequence;

[0009] A hanger having a hook on the top and a clamp for fixing the profile on the bottom, which can guide the current on the top to the fixed profile on the bottom;

[0010] A sliding frame, the sliding frame can move along the track, a lifting frame is movably connected to the bottom of the sliding frame, the lifting frame can move up and down, and a traction rope is provided between the sliding frame and the lifting frame;

[0011] A hooking arm, wherein the hooking arm can drive the traction rope to move in one direction along the process direction, and when the traction rope is pulled, the lifting frame is pulled upward;

[0012] A brake member, the top of which presses against the track to achieve braking, and the brake member is released when the lifting frame moves upward by a certain amount, so that the sliding frame can slide freely;

[0013] The cable is movably connected with an electrical connector, and the electrical connector is electrically connected to the hanger.

[0014] Furthermore, the sliding frame is I-shaped, and the lifting frame is movably connected to the bottom of the sliding frame through a guide column.

[0015] Furthermore, the brake member is arranged directly above the guide column, a diaphragm spring is arranged on the top of the brake member, and the diaphragm spring is connected to a brake pad. The brake pad presses against the track when not subject to force, and moves away from the track when subjected to upward pressure from the guide column.

[0016] Furthermore, an elastic rope is fixedly connected between the diaphragm spring and the guide column, and an adjustment spring for applying pressure to the diaphragm spring is arranged in the housing, and the elastic force of the adjustment spring is smaller than the elastic force of the diaphragm spring.

[0017] Furthermore, the electrical connection part includes a power-receiving slider slidably connected to the cable and a conductive rod slidably connected to the lifting frame. The power-receiving slider always maintains electrical connection with the cable. The conductive rod is provided with a pressing plate for the position of each hanger. The pressing plate is located on the back of the hanger. The conductive rod is provided with a pressing spring for pressing the pressing plate against the hanger.

[0018] Furthermore, the sliding frame is provided with a clamping wedge at the position where the traction rope passes through, and the lower end of the clamping wedge is provided with an outwardly protruding inclined surface, and the lower side of the traction rope is provided with a protrusion. When the protrusion presses against the clamping wedge, the clamping wedge is pressed into the gap to clamp the traction rope. The hook arm is provided with a driving inclined surface below the clamping wedge corresponding to the hook arm. When the hook arm retracts, the guide column presses the locking piece to push the locking piece out.

[0019] Further, it further includes a driving rod and a pool-shifting lever. The pulling arm is arranged on the driving rod and the pool-shifting lever. Both the driving rod and the pool-shifting lever can reciprocate linearly along the direction of the track. The projection directly below the driving rod is located inside the medicine pool. The projection directly below the pool-shifting lever is located between two adjacent medicine pools. Both ends of the pool-shifting lever extend to the acting ranges of the pulling arms on both sides. The moving distance of the driving rod is greater than the distance between two adjacent pulling arms and less than the distance to the spaced pulling arm, ensuring that the towing rope can be sent to the acting range of the next driving rod.

[0020] Further, one end of the pulling arm away from the driving rod inclines towards the next process. The pulling arm is inclined in two sections, and the inclination angle is amplified after passing through the position of the towing rope.

[0021] Further, tail wedges are arranged on the lower sides of the corresponding end positions of the track for each medicine pool. The tail wedges can increase the resistance of the sliding frame to slide, ensuring that the towing rope is lifted in place, but not completely blocking the movement of the sliding frame.

[0022] A method for automatic anodic oxidation of the surface of aluminum profiles uses an empirical formula to calculate the required time t for anodic oxidation. From the required time t and the number n of pulling arms on the driving rod, the movement frequency of the driving rod is calculated: f = (n - 1) / t, and the driving rod is controlled to move at the frequency f.

[0023] In the automatic anodic oxidation equipment and its oxidation method for the surface of aluminum profiles provided by this application, at the anodic oxidation position, the sling always remains charged, and at the same time, the contact area of the electrical connection position is increased, ensuring the stability of the current during anodic oxidation, and thus maintaining the uniformity of the formation of the oxide film. Secondly, the sling moves in a wave form continuously in the anodic oxidation pool. On the one hand, the position is not fixed, which can not only avoid the too-fast increase in local temperature but also reduce the influence brought by the too-high local temperature. On the other hand, the movement of the sling and the profile also speeds up the flow of the electrolyte, increases the convection, reduces the non-uniformity of the water temperature in the pool, and reduces the temperature difference at each position of the profile during anodic oxidation, ensuring the formation quality of the oxide film. BRIEF DESCRIPTION OF THE DRAWINGS

[0024] The drawings forming a part of the specification depict the embodiments disclosed in this application and, together with the specification, are used to explain the principles disclosed in this application.

[0025] Referring to the drawings, the present disclosure can be more clearly understood according to the following detailed description, where:

[0026] Figure 1 is a schematic structural diagram of the present invention;

[0027] Figure 2 is a three-dimensional schematic diagram of a partial structure of the present invention;

[0028] Figure 3 In the present invention Figure 2 Side view;

[0029] Figure 4 Schematic diagram of the brake part in the present invention;

[0030] Figure 5 Working principle diagram of the pressing wedge in the present invention;

[0031] Figure 6 Top view of the pulling arm in the present invention;

[0032] Figure 7 Schematic diagram of the track structure above the tail of the medicine pool in the present invention;

[0033] Figure 8 Top view of the anodic oxidation medicine pool in the present invention.

[0034] Wherein: 1. Medicine pool; 2. Track; 3. Hoisting tool; 4. Sliding frame; 5. Lifting frame; 6. Driving rod; 7. Cable; 8. Electrical connection part; 81. Power receiving slider; 82. Conductive rod; 83. Pressing piece; 84. Pressing spring; 9. Medicine pool shifting rod; 10. Traction rope; 11. Pulling arm; 12. Elastic rope; 13. Brake part; 131. Housing; 132. Diaphragm spring; 133. Brake pad; 134. Adjusting spring; 14. Locking part; 15. Guide post; 18. Tail wedge; 16. Pressing wedge; 17. Driving inclined plane; A: Direction towards the next process. Specific embodiments

[0035] Next, the technical solutions in the embodiments of the present application will be clearly and completely described in conjunction with the accompanying drawings in the embodiments of the present application. Obviously, the described embodiments are only a part of the embodiments of the present application, rather than all the embodiments. Based on the embodiments in the present application, all other embodiments obtained by those of ordinary skill in the art without making creative efforts belong to the scope of protection of the present application. Embodiment 1

[0036] Please refer to Figures 1-3, A fully automatic anodic oxidation equipment for the surface of aluminum profiles, including a medicine pool 1, a track 2, a lifting device 3, a driving rod 6, a cable 7 and a pool shifting lever 9. The track 2 is arranged above the medicine pool 1 and distributed along the layout direction of the medicine pool 1, and is set according to the sequence of anodic oxidation processes. Above the lifting device 3, there is a flat hook, and below it, there is a clamp for fixing the profile. The specific shape of the clamp can be flexibly set according to the shape and size of the profile, as long as it can fix and transmit current. The track 2 is movably connected with a sliding frame 4. The sliding frame 4 is in the shape of an I-beam. The upper end of the sliding frame 4 is slidably connected with the track 2. The lower end of the sliding frame 4 is movably connected with a lifting frame 5 through a guiding column 15. The guiding column 15 penetrates the bottom of the sliding frame 4. A traction rope 10 is arranged between the sliding frame 4 and the lifting frame 5. The traction rope 10 penetrates the bottom of the sliding frame 4. The upper end of the traction rope 10 is connected to the top of the sliding frame 4, and the lower end of the traction rope 10 is fixedly connected to the lifting frame 5. At the position where the traction rope 10 penetrates the sliding frame 4, there is a supporting wheel. The setting direction of the supporting wheel is the same as the moving direction required by the sliding frame 4. Both the driving rod 6 and the pool shifting lever 9 can perform reciprocating linear motion along the direction of the track 2. The driving rod 6 and the pool shifting lever 9 are respectively arranged on sliding rails or chutes for guiding. The driving rod 6 and the pool shifting lever 9 can be driven by structures such as linear motors, telescopic cylinders, and cranks. On both the driving rod 6 and the pool shifting lever 9, there is a pulling arm 11. The pulling arm 11 drives the traction rope 10 to move unidirectionally along the process direction. When the driving rod 6 or the pool shifting lever 9 moves along the process direction, it hooks the traction rope 10 to move, and the traction rope 10 pulls the lifting frame 5 to move upward. The pool shifting lever 9 is arranged between two adjacent medicine pools 1, and both ends extend to the range where the pulling arms 11 on both sides can act. That is, upstream, the pool shifting lever 9 can hook the traction rope 10 to move, and downstream, the pool shifting lever 9 can send the traction rope 10 to the range where the downstream pulling arm 11 can hook it. The moving distance of the driving rod 6 is greater than the distance between two adjacent pulling arms 11 and less than the distance to the spaced pulling arm 11, ensuring that the traction rope 10 can be sent to the range where the next driving rod 6 can act. Above the medicine pool 1 for anodic oxidation, there is a cable 7. The cable 7 is slidably connected with an electrical connection part 8. The electrical connection part 8 is electrically connected to the lifting device 3 through an electric wire, and the electrical connection maintains a continuous and stable state to ensure the stability of anodic oxidation. The upper end of the sliding frame 4 is provided with a braking part 13. Please refer to Figure 4 , The braking part 13 includes a housing 131 fixedly connected to the top of the sliding frame 4. Inside the housing 131, there is a diaphragm spring 132. The diaphragm spring 132 is connected to a brake pad 133. The brake pad 133 is pressed against the track 2 under the action of the diaphragm spring 132 to generate resistance and prevent the sliding frame 4 from sliding. When the lifting frame 5 is completely pulled up, press the diaphragm spring 132, and the sliding frame 4 can slide freely, ensuring that it moves only after the profile is pulled up to avoid the profile hitting the pool wall;

[0037] A elastic cord 12 is fixedly connected between the diaphragm spring 132 and the guide post 15. The elastic cord 12 can achieve buffering when the lifting frame 5 is released, avoiding excessive impact force when the profile falls. An adjusting spring 134 that applies pressure to the diaphragm spring 132 is provided in the housing 131. The elastic force of the adjusting spring 134 is less than that of the diaphragm spring 132. The adjusting spring 134 will not release the braking force of the braking member 13, but will reduce the braking force. During anodic oxidation, the traction rope 10 continuously pulls the profile upward. The elastic force of the elastic cord 12 decreases, the elastic force of the adjusting spring 134 on the diaphragm spring 132 increases, the braking force generated by the brake pad 133 decreases, and the sliding frame 4 can slide, that is, when the profile rises to a certain height, the sliding frame 4 can move.

[0038] Please refer to Figure 2 and Figure 3 , the electrical connection member 8 includes a power receiving slider 81 slidably connected to the cable 7 and a conductive rod 82 slidably connected to the lifting frame 5. The power receiving slider 81 is always electrically connected to the cable 7. Pressure plates 83 are provided for the position of each spreader 3 on the conductive rod 82. The pressure plates 83 are located on the back of the spreader 3. The conductive rod 82 is provided with a compression spring 84 that presses the pressure plates 83 against the spreader 3. The pressure plates 83 are pressed against the spreader 3, which can not only reduce the risk of the spreader 3 falling, but also ensure the reliability of the electrical connection.

[0039] Please refer to Figure 5 , the sliding frame 4 is provided with a pressing wedge 16 at the position where the traction rope 10 passes through. The lower end of the pressing wedge 16 is provided with an inclined surface, and the upper end is provided with a limiting protrusion to prevent falling. There is a protrusion on the lower side of the traction rope 10. When the protrusion abuts against the pressing wedge 16, the pressing wedge 16 is pressed into the gap to prevent the profile and the lifting frame 5 from falling back. A driving inclined surface 17 is provided below the pressing wedge 16 corresponding to the hook arm 11. When the hook arm 11 retracts, the driving inclined surface 17 presses the pressing wedge 16 to push the pressing wedge 16 out, releasing the traction rope 10, and the lifting frame 5 and the profile fall back under gravity.

[0040] Please refer to Figure 6 , one end of the hook arm 11 away from the driving rod 6 is inclined towards the next process. The hook arm 11 is inclined in two sections, and the inclination angle is enlarged after passing through the position of the traction rope 10. When moving in the A direction, the hook arm 11 can hook the traction rope 10 and pull the traction rope 10 to move. When moving away from the A direction, the traction rope 10 slides out to both sides of the hook arm 11 and will not hook the traction rope 10.

[0041] Please refer to Figure 7 , tail end wedges 18 are provided on the lower side of the track 2 corresponding to the end positions of each medicine pool 1, that is, the positions where the profiles need to be lifted. The maximum thickness of the tail end wedges 18 is appropriate, which can not only increase the resistance to the sliding of the sliding frame 4, ensure that the traction rope 10 is lifted in place, and the locking member 14 achieves the maximum resistance, but also will not completely block the movement of the sliding frame 4.

[0042] See also Figure 8 The width of both sides of the medicine pool 1 for anodizing is greater than the width of the lifting frame 5, and the width in the middle is less than the width of the lifting frame 5. The lifting frame 5 can be put in or lifted out only at the head and tail. The middle prevents the lifting frame 5 from being lifted, limiting the profile from moving out of the water.

[0043] The profile is fixed by the sling 3, and the pressing piece 83 presses the sling 3 from the back. When the profile needs to be moved to the medicine pool 1, the hook arm 11 on the pool shifting lever 9 hooks the traction rope 10. At this time, the brake member 13 is in a braking state. The traction force of the hook arm 11 pulls the traction rope 10 to pull up the lifting frame 5 and the profile. When the lifting frame 5 moves to the highest position, the guide column 15 presses the brake member 13, and the brake member 13 releases the brake, and the sliding frame 4 moves to the head of the next medicine pool 1 over the position of the pressing wedge block 16;

[0044] When located in the anodizing tank, the conductive rod 82 moves along the cable 7, the electrical connector 8 and the hanger 3 are energized, and the driving rod 6 moves back and forth in a straight line. Each time it moves, the adjacent hooking arms 11 alternately hook the traction rope 10 and move, driving the slide frame 4 to slide, thereby realizing the gradual forward movement of the profile.

[0045] A method for fully automatic anodizing of aluminum profile surface, using an empirical formula to calculate the time t required for anodizing, and calculating the movement frequency of the driving rod 6 from the required time t and the number n of hooked arms 11 on the driving rod 6: f=(n-1) / t, and controlling the driving rod 6 to move at the frequency f;

[0046] Each time the driving rod 6 moves, the sliding frame 4 slides once, and slides from the position of the first hook arm 11 to the position of the last hook arm 11 for n-1 times. Ignoring the time for putting in and taking out, the action cycle is t / (n-1) times, and the action frequency is (n-1) / t. The duration t can include the time for putting in and taking out.

Claims

1. A fully automatic anodic oxidation equipment for the surface of aluminum profiles, comprising: Several medicine pools (1), at least one of which is filled with an electrolyte for anodic oxidation; A track (2), arranged above the medicine pool (1) and distributed in the direction of the anodic oxidation process sequence; A spreader (3), having a hook at the upper part and a clamp for fixing the profile at the lower part, capable of guiding the current above to the profile fixed below; It is characterized in that it further comprises: A sliding frame (4), the sliding frame (4) can move along the track (2), a lifting frame (5) is movably connected below the sliding frame (4), the lifting frame (5) can move up and down, and a traction rope (10) is arranged between the sliding frame (4) and the lifting frame (5); A pulling arm (11), the pulling arm (11) can drive the traction rope (10) to move unidirectionally along the process direction, and when the traction rope (10) is subjected to a pulling force, it pulls the lifting frame (5) to move upward; A braking member (13), the top of the braking member (13) abuts against the track (2) to achieve braking, and the braking member (13) releases when the lifting frame (5) moves upward by a certain amount, realizing the free sliding of the sliding frame (4); A cable (7), the cable (7) is movably connected with an electrical connection member (8), and the electrical connection member (8) is electrically connected with the spreader (3).

2. The fully automatic anodic oxidation equipment for the surface of aluminum profiles according to claim 1, characterized in that, The sliding frame (4) is in an I shape, and the lifting frame (5) is movably connected with the bottom of the sliding frame (4) through a guide post (15).

3. An automatic anodizing device for the surface of aluminum profiles according to claim 2, characterized in that, The braking member (13) is arranged directly above the guide post (15). The braking member (13) includes a housing (131) fixedly connected to the top of the sliding frame (4). A diaphragm spring (132) is arranged in the housing (131). The diaphragm spring (132) is connected with a brake pad (133). The brake pad (133) abuts against the track (2) when not stressed and moves away from the track (2) when subjected to an upward pressure from the guide post (15).

4. An automatic anodic oxidation equipment for the surface of aluminum profiles according to claim 3, characterized in that, A elastic rope (12) is fixedly connected between the diaphragm spring (132) and the guide post (15). The diaphragm spring (132) is connected with an adjusting spring (134) that applies pressure to the diaphragm spring (132), and the elastic force of the adjusting spring (134) is less than the elastic force of the diaphragm spring (132).

5. A fully automatic anodic oxidation equipment for the surface of aluminum profiles according to claim 1, characterized in that, The electrical connection member (8) includes a power receiving slider (81) slidably connected with the cable (7) and a conductive rod (82) slidably connected with the lifting frame (5). The power receiving slider (81) is always electrically connected with the cable (7). For each position of the spreader (3), the conductive rod (82) is provided with a pressing piece (83). The pressing piece (83) is located on the back of the spreader (3), and the conductive rod (82) is provided with a pressing spring (84) for pressing the pressing piece (83) against the spreader (3).

6. The fully automatic anodic oxidation equipment for the surface of aluminum profiles according to claim 1, wherein, The sliding frame (4) is provided with a pressing wedge block (16) at the position where the towing rope (10) passes through. The lower end of the pressing wedge block (16) is provided with an outwardly convex inclined surface. A protrusion is provided on the lower side of the towing rope (10). When the protrusion abuts against the pressing wedge block (16), the pressing wedge block (16) is pressed into the gap to press the towing rope (10). A driving inclined surface (17) is provided below the pressing wedge block (16) corresponding to the pulling arm (11). When the pulling arm (11) retracts, the guide post (15) presses the locking member (14) to push the locking member (14) out.

7. A fully automatic anodic oxidation device for the surface of aluminum profiles according to claim 1, characterized in that, It further includes a driving rod (6) and a cell shifting lever (9). The pulling arm (11) is arranged on the driving rod (6) and the cell shifting lever (9). Both the driving rod (6) and the cell shifting lever (9) can reciprocate linearly along the direction of the track (2). The projection of the driving rod (6) directly below is located in the medicine cell (1). The projection of the cell shifting lever (9) directly below is located between two adjacent medicine cells (1). Both ends of the cell shifting lever (9) extend to the action range of the pulling arms (11) on both sides. The moving distance of the driving rod (6) is greater than the distance between two adjacent pulling arms (11) and less than the distance to the spaced pulling arms (11), ensuring that the towing rope (10) can be sent to the action range of the next driving rod (6).

8. An automatic anodic oxidation device for the surface of aluminum profiles according to claim 7, characterized in that, One end of the pulling arm (11) away from the driving rod (6) inclines towards the next process. The pulling arm (11) is inclined in two sections, and the inclination angle is enlarged after passing through the position of the towing rope (10).

9. The fully automatic anodic oxidation equipment for the surface of aluminum profiles according to claim 1, wherein, Tail end wedge blocks (18) are provided below the track (2) at the end position corresponding to each medicine cell (1). The tail end wedge blocks (18) can increase the resistance of the sliding frame (4) to slide, ensuring that the towing rope (10) is lifted in place, but not completely blocking the movement of the sliding frame (4).

10. A method for full-automatic anodic oxidation of the surface of aluminum profiles, characterized in that, When oxidizing the profile using the fully automatic aluminum profile surface anodic oxidation equipment according to any one of claims 1-9, the required duration t for anodic oxidation is calculated using an empirical formula. The movement frequency of the driving rod (6) is calculated from the required duration t and the number n of pulling arms (11) on the driving rod (6): f=(n - 1) / t, and the driving rod (6) is controlled to move at the frequency f.

Citation Information

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