A method and system for high-speed finger milling of aluminum door and window profiles

By optimizing the cross-cutting feed speed of the cutting tool and the motor speed, combined with a specific tool design, the problem of low efficiency in finger milling of aluminum door and window profiles was solved, achieving a high material removal rate and extended tool life.

CN117399679BActive Publication Date: 2026-07-17FOSHAN LAIKE INTELLIGENT EQUIP CO LTD

Patent Information

Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
FOSHAN LAIKE INTELLIGENT EQUIP CO LTD
Filing Date
2023-11-27
Publication Date
2026-07-17

AI Technical Summary

Technical Problem

Existing technologies are inefficient in finger milling of aluminum door and window profiles, the cutting tools are not durable, and it is difficult to improve the material removal rate under the limitations of cutting force and motor power.

Method used

By optimizing the cross-cutting feed rate of the cutting tool and the motor speed, combined with reasonable cutting parameters, using single- or double-edged end mills made of tungsten cobalt cemented carbide, and with a DLC PVD coating on the tool surface, efficient finger milling can be achieved.

Benefits of technology

While ensuring tool life, the material removal rate was improved, achieving efficient finger milling.

✦ Generated by Eureka AI based on patent content.

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Abstract

This invention discloses a high-speed finger milling method and system for aluminum door and window profiles. The method obtains parameters of the workpiece to be finger-milled and tool parameters, including the workpiece wall thickness and the tool diameter and overhang length. It then optimizes the cutting parameters (i.e., the cross-cutting feed rate) of the tool driven by the motor to perform finger milling on the workpiece with reasonable cutting parameters. This ensures tool life while increasing material removal rate, achieving highly efficient finger milling.
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Description

Technical Field

[0001] This invention relates to the field of milling technology, and in particular to a high-speed finger milling method and system for aluminum door and window profiles. Background Technology

[0002] In finger milling of aluminum profiles used in doors and windows (typically for machining lock box holes, handle holes, drainage holes, vent holes, etc.), the aluminum profiles being machined have a uniform wall thickness, generally between 1.4 and 2.5 mm. Since the cutting width in finger milling is equal to the tool diameter, the only remaining options for optimizing cutting parameters are cutting speed and feed rate. Existing technologies often only support feed rates of 150–500 mm / min, resulting in extremely low efficiency and short tool life. Therefore, overcoming the limitations of cutting force and motor power, while ensuring tool life, to improve material removal rate and achieve efficient finger milling has become a key issue restricting the industry's development. Summary of the Invention

[0003] In order to overcome at least one of the defects of the prior art, the present invention provides a high-speed finger milling method for aluminum door and window profiles, which can achieve efficient finger milling and achieve the best processing effect.

[0004] A high-speed finger milling method for aluminum door and window profiles according to an embodiment of the present invention includes the following steps:

[0005] S1: Obtain the parameters of the workpiece to be milled and the tool parameters, wherein the parameters of the workpiece to be milled include the wall thickness of the workpiece to be milled, and the tool parameters are the diameter of the tool and the overhang length of the tool;

[0006] S2: Optimize the cutting parameters of the tool driven by the motor to mill the workpiece, wherein the cutting parameters are the cross-cutting feed rate and the motor speed, and the spindle speed of the motor is ≥12000r / min.

[0007] In this high-speed finger milling method for aluminum door and window profiles, by optimizing the cross-cutting feed speed of the tool, the tool is driven to perform finger milling on the workpiece with reasonable cutting parameters. This ensures the tool's service life while increasing the material removal rate and achieving efficient finger milling.

[0008] According to some embodiments of the present invention, the transverse feed speed is 4000 mm / min-10000 mm / min.

[0009] According to some embodiments of the present invention, the optimization of the transverse feed rate is specifically achieved by the following steps:

[0010] Set the initial feed per tooth, and use the formula: Correct the feed per tooth of the tool, then use the formula: V f =n×f zx To obtain the cross-cutting feed rate;

[0011] Where f zx f is the corrected feed per tooth. z For the initial selection of feed per tooth, D is the tool diameter, L is the tool overhang length, and V... f is the transverse feed speed, and n is the spindle speed of the motor.

[0012] According to some embodiments of the present invention, the initial feed per tooth is determined by the formula: f z =A c / H is calculated;

[0013] Where f z For the initial selection of feed per tooth, A c H is the nominal area of ​​the cutting layer, and H is the wall thickness of the workpiece.

[0014] According to some embodiments of the present invention, the nominal area of ​​the cutting layer is 0.8 mm. 2 -1mm 2 .

[0015] According to some embodiments of the present invention, the motor is a speed-regulating motor with a rated speed of 18000 r / min.

[0016] According to some embodiments of the present invention, the cutting tool is a single-flute or double-flute end mill made of tungsten cobalt cemented carbide, and the surface of the cutting tool is provided with a DLC PVD coating. The shank diameter of the cutting tool is 8 mm, the cutter body diameter is less than or equal to the shank diameter, the total length of the cutting tool is 100 mm, the clamping length is 50 mm, the overhang length is 50 mm, and the cutting edge length does not exceed 30 mm.

[0017] According to some embodiments of the present invention, the rake angle of the cutting tool is 12°-15° and the first clearance angle is 15°-20°.

[0018] According to some embodiments of the present invention, the helix angle of the cutting tool is 50°-52°.

[0019] Based on the same inventive concept, this invention also proposes a high-speed finger milling system for aluminum profiles, including a storage device and a processor;

[0020] Storage, used to store program instructions;

[0021] A processor is used to run the program instructions to perform the high-speed finger milling method for aluminum door and window profiles as described above.

[0022] In summary, the high-speed finger milling method for aluminum door and window profiles provided by this invention has the following technical effects:

[0023] By optimizing the cutting tool and combining it with reasonable cutting parameters, finger milling is performed on the workpiece to be finger milled. That is, by using the optimized cutting tool and the optimized cross-cutting feed rate to perform finger milling on the workpiece to be finger milled, it is possible to improve the material removal rate while ensuring the tool life, achieve efficient finger milling, and achieve the best processing effect. Attached Figure Description

[0024] Figure 1 This is a flowchart of a high-speed finger milling method for aluminum door and window profiles according to an embodiment of the present invention. Detailed Implementation

[0025] To better understand and implement this invention, the technical solutions in the embodiments of this invention will be clearly and completely described below with reference to the accompanying drawings.

[0026] In the description of this invention, it should be noted that the terms "upper", "lower", "front", "rear", "left", "right", "vertical", "horizontal", "top", "bottom", "inner", and "outer" indicate the orientation or positional relationship based on the orientation or positional relationship shown in the accompanying drawings. They are only for the convenience of describing this invention and simplifying the description, and do not indicate or imply that the device or element referred to must have a specific orientation, or be constructed and operated in a specific orientation. Therefore, they should not be construed as limitations on this invention.

[0027] Unless otherwise defined, all technical and scientific terms used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this invention pertains. The terminology used herein in the description of the invention is for the purpose of describing particular embodiments only and is not intended to be limiting of the invention.

[0028] In this invention, the cutting tool is mounted on the motor, and the motor can drive the cutting tool to rotate relative to the workpiece. Optionally, the motor can drive the cutting tool to move axially or radially. Alternatively, the motor and the cutting tool can be driven axially or radially by a hydraulic press or an electric cylinder. Furthermore, the number of the cutting tool and the motor can be one or more. Optionally, when there are multiple cutting tools and motors, multiple areas or sidewalls of the workpiece can be milled simultaneously, or multiple areas or sidewalls of the workpiece can be milled one by one in a preset order.

[0029] Example 1:

[0030] See Figure 1This embodiment discloses a high-speed finger milling method for aluminum door and window profiles, including the following steps:

[0031] S1: Obtain the parameters of the workpiece to be milled and the tool parameters, wherein the parameters of the workpiece to be milled include the wall thickness of the workpiece to be milled, and the tool parameters are the diameter of the tool and the overhang length of the tool;

[0032] Specifically, cutting parameters are the sum of all motion parameters during cutting, and are closely related to tool life and machining efficiency. When selecting reasonable cutting parameters, factors such as tool diameter, wall thickness of the workpiece to be milled, and tool overhang length should be considered. Therefore, when selecting reasonable cutting parameters, it is necessary to obtain the parameters of the workpiece to be milled and the tool parameters. Optionally, the parameters of the workpiece to be milled and the tool parameters can be input by the user or obtained automatically through the network.

[0033] S2: Optimize the cutting parameters of the tool driven by the motor on the workpiece to be milled, wherein the cutting parameters are the cross-cutting feed rate and the motor speed, and the motor spindle speed is ≥12000 r / min.

[0034] Specifically, the finger milling of the workpiece to be finger milled specifically refers to cross-cutting. That is, during finger milling, the tool is driven by a motor to cross-cut the workpiece after the wall is broken, according to the size of the holes, slots, etc. to be opened on the workpiece. Therefore, the reasonable cutting parameters mainly refer to the cross-cutting feed rate, which is the feed rate of the tool along the radial direction. Preferably, by optimizing the cross-cutting feed rate of the tool, the tool is driven to perform finger milling on the workpiece with reasonable cutting parameters. Optionally, the cross-cutting feed rate is 4000mm / min-10000mm / min.

[0035] Furthermore, the cutting tool is mounted on the motor, and the motor drives the cutting tool to rotate, enabling the cutting tool to perform finger milling on the workpiece. Optionally, the actual spindle speed of the motor needs to be ≥12000 r / min, and the smaller the diameter of the cutting tool, the higher its speed. Specifically, the corresponding relationship is: 17000 r / min for a 5mm diameter finger milling cutter; 16500 r / min for a 6mm diameter finger milling cutter; and 16000 r / min for an 8mm diameter finger milling cutter. To meet the actual working speed requirements during finger milling, the rated speed of the motor can optionally be 18000 r / min or 24000 r / min, with a power in the range of 3 kW to 6 kW.

[0036] Example 2:

[0037] See Figure 1This embodiment discloses a high-speed finger milling method for aluminum door and window profiles, including the following steps:

[0038] S1: Obtain the parameters of the workpiece to be milled and the tool parameters, wherein the parameters of the workpiece to be milled include the wall thickness of the workpiece to be milled, and the tool parameters are the diameter of the tool and the overhang length of the tool;

[0039] Specifically, cutting parameters are the sum of all motion parameters during cutting, and are closely related to tool life and machining efficiency. When selecting reasonable cutting parameters, factors such as tool diameter, wall thickness of the workpiece to be milled, and tool overhang length should be considered. Therefore, when selecting reasonable cutting parameters, it is necessary to obtain the parameters of the workpiece to be milled and the tool parameters. Optionally, the parameters of the workpiece to be milled and the tool parameters can be input by the user or obtained automatically through the network.

[0040] S2: Optimize the cutting parameters of the tool driven by the motor on the workpiece to be milled, wherein the cutting parameters are the cross-cutting feed rate and the motor speed, and the motor spindle speed is ≥12000 r / min.

[0041] Specifically, the finger milling of the workpiece to be finger milled specifically refers to transverse cutting. That is, during finger milling, the tool is driven by a motor to transversely cut the workpiece after the wall is broken, according to the size of the holes, slots, etc. to be opened on the workpiece. Therefore, the reasonable cutting parameters refer to the transverse cutting feed rate, where the transverse cutting feed rate is the feed rate of the tool along the radial direction. Preferably, by optimizing the transverse cutting feed rate of the tool, the tool is driven to perform finger milling on the workpiece with reasonable cutting parameters. Optionally, the transverse cutting feed rate is 4000mm / min-10000mm / min.

[0042] Optionally, the optimization of the cross-cut feed rate is achieved through the following steps:

[0043] Set the initial feed per tooth, and use the formula: Correct the feed per tooth of the tool, then use the formula: V f =n×f zx To obtain the transverse feed rate; where f zx f is the corrected feed per tooth. z For the initial selection of feed per tooth, D is the tool diameter, L is the tool overhang length, and V... f Let n be the feed rate of the cutting tool, and n be the spindle speed of the motor.

[0044] Specifically, the initial feed per tooth can be set by the user based on their experience, or it can be set by querying existing technologies online using data such as the workpiece wall thickness, the tool diameter, and the overhang length. After setting the initial feed per tooth, it is then combined with the tool diameter and the overhang length using the formula: Correct the feed per tooth of the tool, and then use the corrected feed per tooth f. zx Through the formula: V f =n×f zx By obtaining a cross-cutting feed rate, a reasonable cutting parameter is obtained. Then, the tool is driven by a motor to perform finger milling on the workpiece to be finger milled with a reasonable cutting parameter. This can improve the material removal rate and achieve efficient finger milling while ensuring the tool life.

[0045] Example 3:

[0046] See Figure 1 This embodiment discloses a high-speed finger milling method for aluminum door and window profiles, including the following steps:

[0047] S1: Obtain the parameters of the workpiece to be milled and the tool parameters, wherein the parameters of the workpiece to be milled include the wall thickness of the workpiece to be milled, and the tool parameters are the diameter of the tool and the overhang length of the tool;

[0048] Specifically, cutting parameters are the sum of all motion parameters during cutting, and are closely related to tool life and machining efficiency. When selecting reasonable cutting parameters, factors such as tool diameter, wall thickness of the workpiece to be milled, and tool overhang length should be considered. Therefore, when selecting reasonable cutting parameters, it is necessary to obtain the parameters of the workpiece to be milled and the tool parameters. Optionally, the parameters of the workpiece to be milled and the tool parameters can be input by the user or obtained automatically through the network.

[0049] S2: Optimize the cutting parameters of the tool driven by the motor on the workpiece to be milled, wherein the cutting parameters are the cross-cutting feed rate and the motor speed, and the motor spindle speed is ≥12000 r / min.

[0050] Specifically, the finger milling of the workpiece to be finger milled specifically refers to cross-cutting. That is, during finger milling, the tool is driven by a motor to cross-cut the workpiece after the wall is broken, according to the required dimensions of holes, slots, etc. to be made on the workpiece. Therefore, the reasonable cutting parameters mainly refer to the cross-cutting feed rate, which is the radial feed rate of the tool. Preferably, by optimizing the cross-cutting feed rate of the tool, the tool is driven to perform finger milling on the workpiece with reasonable cutting parameters. Optionally, the cross-cutting feed rate is 4000mm / min-10000mm / min.

[0051] Optionally, the spindle speed of the motor needs to be ≥12000 r / min. Preferably, the cutting tool is mounted on the motor, and the motor drives the cutting tool to rotate so that the cutting tool can perform finger milling on the workpiece. Optionally, the actual spindle speed of the motor needs to be ≥12000 r / min, and the smaller the diameter of the cutting tool, the higher its speed. Specifically, the corresponding relationship is: 17000 r / min for a 5mm diameter finger milling cutter; 16500 r / min for a 6mm diameter finger milling cutter; and 16000 r / min for an 8mm diameter finger milling cutter. Preferably, the rated speed of the motor is 18000 r / min, and the motor is a speed-regulating motor with a power range of 3kW-6kW to meet the actual working speed requirements during finger milling.

[0052] Optionally, the optimization of the cross-cut feed rate is achieved through the following steps:

[0053] Set the initial feed per tooth, and use the formula: Correct the feed per tooth of the tool, then use the formula: V f =n×f zx To obtain the transverse feed rate; where f zx f is the corrected feed per tooth. z For the initial selection of feed per tooth, D is the tool diameter, L is the tool overhang length, and V... f Let n be the feed rate of the cutting tool, and n be the spindle speed of the motor.

[0054] Optionally, by formula: f z =A c / H, setting the initial feed per tooth; where f z For the initial selection of feed per tooth, A c Where H is the nominal area of ​​the cutting layer and H is the wall thickness of the workpiece. Preferably, the nominal area of ​​the cutting layer is 0.8 mm. 2 -1mm 2 After setting the initial feed per tooth, and combining it with the tool diameter and overhang length, the formula is used: Correct the feed per tooth of the tool, and then use the corrected feed per tooth f. zx Through the formula: V f =n×f zx By obtaining a cross-cutting feed rate, a reasonable cutting parameter is obtained. Then, the tool is driven by a motor to perform finger milling on the workpiece to be finger milled with a reasonable cutting parameter. This can improve the material removal rate and achieve efficient finger milling while ensuring the tool life.

[0055] Example 4:

[0056] See Figure 1 This embodiment discloses a high-speed finger milling method for aluminum door and window profiles, including the following steps:

[0057] S1: Obtain the parameters of the workpiece to be milled and the tool parameters, wherein the parameters of the workpiece to be milled include the wall thickness of the workpiece to be milled, and the tool parameters are the diameter of the tool and the overhang length of the tool;

[0058] Specifically, cutting parameters are the sum of all motion parameters during cutting, and are closely related to tool life and machining efficiency. When selecting reasonable cutting parameters, factors such as tool diameter, wall thickness of the workpiece to be milled, and tool overhang length should be considered. Therefore, when selecting reasonable cutting parameters, it is necessary to obtain the parameters of the workpiece to be milled and the tool parameters. Optionally, the parameters of the workpiece to be milled and the tool parameters can be input by the user or obtained automatically through the network.

[0059] S2: Optimize the cutting parameters of the motor-driven tool on the workpiece to be milled, wherein the cutting parameters are the cross-cutting feed rate, and the spindle speed of the motor is ≥12000 r / min.

[0060] Specifically, the finger milling of the workpiece to be finger milled specifically refers to cross-cutting. That is, during finger milling, the tool is driven by a motor to cross-cut the workpiece after the wall is broken, according to the required dimensions of holes, slots, etc. in the workpiece. Therefore, the reasonable cutting parameters refer to the cross-cutting feed rate, where the cross-cutting feed rate is the radial feed rate of the tool. Preferably, by optimizing the cross-cutting feed rate of the tool, the tool is driven to perform finger milling on the workpiece with reasonable cutting parameters. Optionally, the cross-cutting feed rate is 4000mm / min-10000mm / min.

[0061] Optionally, the spindle speed of the motor needs to be ≥12000 r / min. Preferably, the cutting tool is mounted on the motor, and the motor drives the cutting tool to rotate so that the cutting tool can perform finger milling on the workpiece. Optionally, the actual spindle speed of the motor needs to be ≥12000 r / min, and the smaller the diameter of the cutting tool, the higher its speed. Specifically, the corresponding relationship is: 17000 r / min for a 5mm diameter finger milling cutter; 16500 r / min for a 6mm diameter finger milling cutter; and 16000 r / min for an 8mm diameter finger milling cutter. Preferably, the rated speed of the motor is 18000 r / min, and the motor is a speed-regulating motor with a power range of 3kW-6kW to meet the actual working speed requirements during finger milling.

[0062] Optionally, the optimization of the cross-cut feed rate is achieved through the following steps:

[0063] Set the initial feed per tooth, and use the formula: Correct the feed per tooth of the tool, then use the formula: V f =n×f zx To obtain the transverse feed rate; where f zx f is the corrected feed per tooth. z For the initial selection of feed per tooth, D is the tool diameter, L is the tool overhang length, and V... f Let n be the feed rate of the cutting tool, and n be the spindle speed of the motor.

[0064] Optionally, by formula: f z =A c / H, setting the initial feed per tooth; where f z For the initial selection of feed per tooth, A c Where H is the nominal area of ​​the cutting layer and H is the wall thickness of the workpiece. Preferably, the nominal area of ​​the cutting layer is 0.8 mm. 2 -1mm 2 After setting the initial feed per tooth, and combining it with the tool diameter and overhang length, the formula is used: Correct the feed per tooth of the tool, and then use the corrected feed per tooth f. zx Through the formula: V f =n×f zx By obtaining a cross-cutting feed rate, a reasonable cutting parameter is obtained. Then, the tool is driven by a motor to perform finger milling on the workpiece to be finger milled with a reasonable cutting parameter. This can improve the material removal rate and achieve efficient finger milling while ensuring the tool life.

[0065] Optionally, the cutting tool is a finger end mill. Preferably, the finger end mill is a single-flute or double-flute end mill. Optionally, the double-flute end mill adopts a shallow chip flute structure to improve the hardness and rigidity of the tool body. Optionally, the cutting tool is made of tungsten cobalt cemented carbide (YG8), and the surface of the cutting tool is provided with a DLC PVD coating. Preferably, the DLC PVD coating on the surface of the cutting tool is 2-3 micrometers, which can significantly reduce the coefficient of friction, improve the friction performance and chip removal ability of the tool surface, significantly improve wear resistance and impact toughness, improve the cutting performance of the cutting tool, improve the oxidation resistance of the tool surface, enable the cutting tool to withstand higher cutting heat, and improve cutting speed, machining efficiency, and tool life. Optionally, the shank diameter of the cutting tool is preferably 8mm, and the tool body diameter is less than or equal to the shank diameter, and can be 4mm, 5mm, 6mm, 8mm, etc., depending on the size requirements of the workpiece. The tool is preferably 100mm in total length, 50mm in clamping length, 50mm in overhang length, and 30mm in cutting edge length. Optionally, the rake angle of the tool's peripheral cutting edge is 12°-15°, and the first clearance angle is 15°-20° to make the tool sharper, improve cell wall breaking efficiency, and further enhance both efficiency and tool life. Optionally, the helix angle of the tool is 50°-52°. Preferably, the helix angle at the peripheral cutting edge is 50.5°, and a double clearance angle structure is adopted. This facilitates chip removal during machining, reduces axial force, and prevents workpiece vibration in the wall thickness direction, thereby optimizing the tool's structure. By combining the optimized tool with reasonable cutting parameters, finger milling of the workpiece can be performed, achieving high-efficiency finger milling while ensuring tool life, thus improving material removal rate and achieving optimal machining results.

[0066] Example 5:

[0067] This embodiment discloses a high-speed finger milling system for aluminum door and window profiles, including a storage unit and a processor;

[0068] Storage, used to store program instructions;

[0069] A processor is used to run the program instructions to perform the high-speed finger milling method for aluminum door and window profiles as described in any of the above embodiments one to four.

[0070] The technical means disclosed in this invention are not limited to those disclosed in the above embodiments, but also include technical solutions composed of any combination of the above technical features. It should be noted that those skilled in the art can make various improvements and modifications without departing from the principles of this invention, and these improvements and modifications are also considered within the scope of protection of this invention.

Claims

1. A high-speed finger milling method for aluminum door and window profiles, characterized in that, Includes the following steps: S1: Obtain the parameters of the workpiece to be milled and the tool parameters, wherein the parameters of the workpiece to be milled include the wall thickness of the workpiece to be milled, and the tool parameters are the diameter of the tool and the overhang length of the tool; S2: Optimize the cutting parameters of the tool driven by the motor to mill the workpiece, wherein the cutting parameters are the cross-cutting feed rate and the motor speed, and the spindle speed of the motor is ≥12000r / min; The optimization of the transverse feed rate is achieved through the following steps: Set the initial feed per tooth, and use the formula: Correct the feed per tooth of the cutting tool, and then through : To obtain the cross-cutting feed rate; in This is the corrected feed per tooth. For the initial selection of feed per tooth, The diameter of the cutting tool, The overhang length of the cutting tool. For cross-cutting feed rate, The spindle speed of the motor; The initial feed per tooth is determined by the formula: Calculated; in For the initial selection of feed per tooth, This represents the nominal area of ​​the cutting layer. The thickness is the wall thickness of the workpiece.

2. The high-speed finger milling method for aluminum door and window profiles according to claim 1, characterized in that: The transverse feed speed is 4000 mm / min - 10000 mm / min.

3. The high-speed finger milling method for aluminum door and window profiles according to claim 1, characterized in that: The nominal area of ​​the cutting layer is 0.8 mm. 2 -1mm 2 .

4. The high-speed finger milling method for aluminum door and window profiles according to claim 1, characterized in that: The motor is a speed-regulating motor with a rated speed of 18000 r / min.

5. The high-speed finger milling method for aluminum door and window profiles according to claim 1, characterized in that: The cutting tool is a single-flute or double-flute end mill made of tungsten cobalt cemented carbide, and the surface of the cutting tool is coated with a DLC PVD coating. The shank diameter of the cutting tool is 8mm, the cutter body diameter is less than or equal to the shank diameter, the total length of the cutting tool is 100mm, the clamping length is 50mm, the overhang length is 50mm, and the cutting edge length does not exceed 30mm.

6. The high-speed finger milling method for aluminum door and window profiles according to claim 1, characterized in that: The rake angle of the cutting edge is 12°-15°, and the first clearance angle is 15°-20°.

7. The high-speed finger milling method for aluminum door and window profiles according to claim 1, characterized in that: The helix angle of the cutting tool is 50°-52°.

8. A high-speed finger milling system for aluminum door and window profiles, characterized in that: Includes storage and processor; Storage, used to store program instructions; A processor for running the program instructions to perform the high-speed finger milling method for aluminum door and window profiles as described in any one of claims 1-7.