Manufacturing method of V-shaped microstructure of cylindrical surface

Abstract

The invention belongs to the technical field of precise microstructure machining, provides a turning manufacturing method for a V-shaped microstructure of a cylindrical surface, and aims to solve the problems that a microstructure with a specific function is difficult to manufacture on the cylindrical surface, the precision and quality of the surface microstructure are difficult to accurately control, the machining efficiency is low and the cost is high in a traditional turning process. According to relative vibration of a cutter and a cylindrical workpiece and mechanical behaviors in the turning process of the cylinder, by adjusting the rotating speed of the workpiece, the initial vibration frequency of the cutter and the falling rate of the vibration frequency of the cutter, machining parameters are optimized, the precision of a control system is improved, and therefore fine customization and optimization of the V-shaped microstructure of the cylindrical surface are achieved. In the turning process, the V-shaped microstructure on the surface of the cylindrical workpiece is accurately modeled, and the V-shaped microstructure on the surface of the cylindrical workpiece is finely customized by finely adjusting turning parameters so as to meet different machining requirements.

Description

Technical Field

[0001] The invention belongs to the technical field of precision microstructure processing, and in particular relates to a turning manufacturing method for a cylindrical V-shaped microstructure. Background Art

[0002] With the increasing global competition, efficient and precise manufacturing technology has become an important driving force for the development of national industry. Especially in the machinery manufacturing industry, there is an urgent need to break through the traditional manufacturing process and explore innovative technologies to meet the production needs of high-performance complex parts. Especially in the field of cylindrical workpiece manufacturing, it plays an important role in many industrial links, from pressure vessels to carriers of advanced materials, carrying diverse functional and practical requirements. In the process of turning process exploration, it was found that under specific turning conditions, a special microstructure will be formed on the surface of the cylindrical workpiece, which will have an important impact on the performance and surface quality of the cylindrical workpiece. It is worth noting that the stiffness of the cylindrical workpiece is the smallest near the right cantilever end, and the turning vibration will cause V-shaped micro vibration marks. This special V-shaped microstructure is not only similar to the structure of the surface of many organisms in nature, but also has the potential to improve the hydrophobicity, wear resistance and drag reduction of the material surface.

[0003] There are many problems and shortcomings in the existing turning manufacturing process of cylindrical workpieces. First, it is difficult for traditional turning processes to manufacture microstructures with specific functions on the cylindrical surface, such as surface hydrophobicity, wear resistance, and drag reduction, which limits the further improvement of product performance. Secondly, it is difficult for traditional processes to accurately control the accuracy and quality of the surface microstructure, and multiple processing and adjustments are often required, resulting in low overall processing efficiency and high cost, which is not conducive to large-scale production and application. Therefore, the development of a manufacturing method that can accurately control the V-shaped microstructure on the workpiece surface will have great theoretical significance and practical application value. Summary of the invention

[0004] In view of the limitations of traditional cylindrical surface processing technology in terms of microstructure accuracy and morphology control, the present invention aims to provide an efficient and accurate method for manufacturing cylindrical V-shaped microstructures. The present invention realizes the precise manufacturing of cylindrical V-shaped microstructures by optimizing processing parameters and improving the precision of the control system. It not only fully considers the relative vibration between the tool and the cylindrical workpiece and the mechanical behavior during the turning process of the cylindrical barrel, but also can simulate and optimize the microscopic interaction during the processing, simulate the turning between the tool and the workpiece before processing, without over-reliance on the material properties during the turning process, and ensures the accuracy and uniformity of the microstructure of the cylindrical turning surface while improving the manufacturing efficiency.

[0005] To achieve the above object, the present invention provides the following technical solutions:

[0006] A method for manufacturing a cylindrical V-shaped microstructure, according to the relative vibration between the tool and the cylindrical workpiece and the mechanical behavior during the turning process of the cylindrical tube, by optimizing the processing parameters and improving the accuracy of the control system, the cylindrical V-shaped microstructure is finely customized and optimized, specifically comprising the following steps:

[0007] Step 1. Establish a mathematical model of the tool turning edge and a mathematical model of the cylindrical workpiece surface used for turning, establish a machine tool coordinate system, a tool turning edge coordinate system and a cylindrical workpiece coordinate system used for turning, and obtain the coordinate points of the tool turning edge in the tool turning edge coordinate system and the coordinate points of the cylindrical workpiece surface in the cylindrical workpiece coordinate system;

[0008] Step 2. Set the rotation speed of the cylindrical workpiece, the feed rate of the tool, the turning depth of the tool, and the vibration parameters of the tool during the actual turning process in the simulation system; and set the discrete time interval, with one time interval as one cycle, and transform the tool turning edge coordinate points obtained in the tool turning edge coordinate system to the cylindrical workpiece coordinate system through the DH coordinate transformation method in each cycle;

[0009] Step 3. Compare the coordinate points on the turning edge with the coordinate points on the surface of the cylindrical workpiece. If the coordinate point on the tool surface is lower than the corresponding coordinate point on the surface of the cylindrical workpiece, the coordinate point on the surface of the cylindrical workpiece is replaced by the coordinate point on the tool surface to form a new discrete surface of the cylindrical workpiece. Otherwise, the coordinate point on the surface of the cylindrical workpiece is retained.

[0010] Step 4. Repeat the operation of step 3 until all the coordinate points on the turning edge and the coordinate points on the surface of the cylindrical workpiece are compared. The coordinate points on the surface of the cylindrical workpiece are continuously replaced during the cycle, thereby generating an accurate three-dimensional morphology of the cylindrical turning surface.

[0011] Step 5. Adjust the parameters in step 2, repeat steps 3 to 4, obtain the parameters for turning the cylindrical workpiece and apply them to actual processing to achieve fine customization and optimization of the V-shaped microstructure on the surface of the cylindrical workpiece.

[0012] Furthermore, the vibration parameters of the tool include the initial vibration frequency ω0 of the tool, the workpiece rotation speed n, and the vibration frequency decrease rate a of the tool. The initial vibration frequency ω0 of the tool controls the circumferential density of the V-shaped microstructure, the vibration frequency decrease rate a of the tool controls the axial size of the V-shaped microstructure, and the workpiece rotation speed n controls the size of the V-shaped microstructure. The size of the V-shaped microstructure can be adjusted by adjusting the vibration parameters of the tool.

[0013] Furthermore, in the tool turning edge coordinate system, with the center of the tool tip arc as the vertex, the three-dimensional coordinates (X t (θ t,u),Y t (θ t ,u),Z t (θ t ,u)) is expressed as:

[0014]

[0015] Among them, the tool top angle radius is R c , the angle of the diamond blade is θ t , the tool back angle is β, and the shortest distance from a point on the turning edge along the back tool surface to the main turning edge is u.

[0016] Further in the cylindrical workpiece coordinate system, the coordinates of any point on the cylindrical surface are expressed as:

[0017] ρ w (L w ,θ w )=R0;

[0018] Among them, the radius of the cylindrical workpiece is R0, and the length coordinate of the cylindrical workpiece is L w , the radial coordinate of the cylindrical workpiece is ρ w , the circumferential spacing angle of the cylindrical workpiece is θ w ,θ w The value range is [0,2π].

[0019] Furthermore, in step 2, the transformation matrix T that transforms the points on the tool turning edge coordinate system to the machine tool coordinate system is tm :

[0020]

[0021] The coordinate of the initial position of the origin of the tool turning edge coordinate system in the machine tool coordinate system is X s , the vertical distance between the origin of the tool coordinate system and the origin of the machine coordinate system is h m , the axial moving speed of the tool is v f , the turning time is t;

[0022] Transformation matrix T from the machine tool coordinate system to the cylindrical workpiece coordinate system mw :

[0023]

[0024] Among them, the angular velocity of the workpiece rotation is ω s , the relative distance between the machine tool coordinate system and the cylindrical workpiece coordinate system on the spindle is z d , the radial vibration displacement of the tool tip relative to the workpiece surface is A e , the vibration amplitude is H, the tool vibration frequency is ω, and the initial vibration phase is Then the vibration equation of the tool in the radial direction is:

[0025]

[0026] The coordinates of any point on the cutting edge of the tool at any time in the workpiece coordinate system are:

[0027]

[0028] Furthermore, in step 3, when the tool performs turning, the cylindrical coordinate point (L tw (θ t ,u,t),ρ tw (θ t ,u,t),θ tw (θ t ,u,t)) and the cylindrical coordinate point on the surface of the cylindrical workpiece (L w ,ρ w ,θ w ) for comparison, if the angle error ε θ and axial error ε L Within the error range, and ρ tw (θ t ,u,t)<ρ w , then the radial coordinate ρ of the tool turning edge is tw (θ t ,u,t) value to replace the radial coordinate ρ of the corresponding point on the cylindrical workpiece w value, otherwise the coordinate points on the surface of the cylindrical workpiece are retained, where: ε L =|L w -L tw (θ t ,μ,t)|,ε θ =|θ w -θ tw (θ t ,μ,t)|.

[0029] In summary, the invention has the following beneficial effects:

[0030] The present invention achieves precise machining of the V-shaped microstructure on the surface of the cylindrical tube by optimizing the turning operation parameters and controlling the vibration characteristics of the tool during the machining process. By adjusting the initial vibration frequency ω0 of the tool, the vibration frequency drop rate a of the tool, and the rotation speed n of the cylindrical tube workpiece, a V-shaped microstructure that meets different application requirements is generated, which not only optimizes the turning process, but also ensures the dimensional consistency and surface quality of the V-shaped microstructure by real-time monitoring and adjusting the vibration parameters of the tool. The present invention finely customizes the V-shaped microstructure on the surface of the cylindrical tube workpiece by fine-tuning the turning parameters, and can achieve high-quality machining effects on a wider range of material types and more complex microstructure designs. It is particularly suitable for occasions in the field of high-end manufacturing that require extremely high precision and consistency of cylindrical surface microstructures. The flexibility and adaptability of the present invention are significantly better than the prior art, and are of great significance for improving the surface performance of cylindrical parts, enhancing the functional characteristics of materials, and meeting the high-end manufacturing industry's requirements for precision and complex structures. BRIEF DESCRIPTION OF THE DRAWINGS

[0031] Figure 1 is a flow chart of the present invention;

[0032] Figure 2 It is a schematic diagram of the turning tool-workpiece-lathe coordinate system of the present invention;

[0033] Figure 3 The relevant parameters and geometric representation of the top of the diamond-shaped tool of the present invention;

[0034] Figure 4 A comparison diagram of the V-shaped microstructure simulation of the cylindrical surface of the present invention and the V-shaped microstructure of the actual turning surface of the cylindrical barrel;

[0035] Figure 5 Simulation diagram of the cylindrical V-shaped microstructure when the initial vibration frequency ω0 of the tool is 1300Hz and 1500Hz;

[0036] Figure 6 The simulation diagram of the cylindrical V-shaped microstructure when the tool vibration frequency decrease rate a is 0.1Hz / s and 0.3Hz / s;

[0037] Figure 7 The simulation diagram of the cylindrical V-shaped microstructure when the workpiece speed n is 460r / min and 660r / min.

[0038] In the figure, 1- lathe fixture, 2- diamond turning tool, 3- cylindrical workpiece. DETAILED DESCRIPTION

[0039] In order to make the purpose, technical solution and advantages of the embodiments of the present invention clearer, the technical solution in the embodiments of the present invention will be clearly and completely described below in conjunction with the drawings in the embodiments of the present invention. Obviously, the described embodiments are part of the embodiments of the present invention, not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field without creative work are within the scope of protection of the present invention.

[0040] like Figures 1 to 7 As shown, the present invention provides a method for manufacturing a cylindrical V-shaped microstructure, which realizes fine customization and optimization of the cylindrical V-shaped microstructure by optimizing processing parameters and improving the accuracy of the control system according to the relative vibration between the tool and the cylindrical workpiece 3 and the mechanical behavior during the turning process of the cylindrical tube, and specifically includes the following steps:

[0041] Step 1. Establish a mathematical model of the tool turning edge and a mathematical model of the surface of the cylindrical workpiece 3 used for turning, establish a machine tool coordinate system, a tool turning edge coordinate system and a cylindrical workpiece coordinate system used for turning, and obtain the coordinate points of the tool turning edge in the tool turning edge coordinate system and the coordinate points of the cylindrical workpiece surface in the cylindrical workpiece coordinate system.

[0042] Step 2. Set the rotation speed of the cylindrical workpiece 3, the feed rate of the tool, the turning depth of the tool and the vibration parameters of the tool during the actual turning process in the simulation system. The simulation system of the present invention adopts MATLAB; and set discrete time intervals in the simulation system, with one time interval as one cycle. In each cycle, the tool turning edge coordinate points obtained in the tool turning edge coordinate system are transformed to the cylindrical workpiece coordinate system through the DH coordinate transformation method.

[0043] Step 3. Compare the coordinate points on the turning edge with the coordinate points on the surface of the cylindrical workpiece 3. If the coordinate points on the tool surface are lower than the corresponding coordinate points on the surface of the cylindrical workpiece 3, the coordinate points on the surface of the cylindrical workpiece 3 are replaced by the coordinate points on the tool surface. That is, the coordinate points on the surface of the cylindrical workpiece 3 will be turned during processing, and the coordinates of the surface of the cylindrical workpiece are the coordinate points on the tool surface, forming a new discrete surface of the cylindrical workpiece. Otherwise, the coordinate points on the surface of the cylindrical workpiece are retained.

[0044] Step 4. Repeat the operation of step 3 until all the coordinate points on the turning edge and the coordinate points on the surface of the cylindrical workpiece are compared. The coordinate points on the surface of the cylindrical workpiece are continuously replaced during the cycle, thereby generating an accurate three-dimensional morphology of the cylindrical turning surface.

[0045] Step 5. Adjust the parameters in step 2, repeat steps 3 to 4, obtain the parameters for turning the cylindrical workpiece and apply them to actual processing to achieve fine customization and optimization of the V-shaped microstructure on the surface of the cylindrical workpiece.

[0046] The present invention is applicable to all lathes, taking a common lathe as an example:

[0047] The tool used for turning in the present invention is a diamond turning tool, such as Figure 2 As shown, the tool top corner radius is R c , the angle of the diamond blade is θ t , the tool back angle is β, the shortest distance from the point on the turning edge along the back tool surface to the main turning edge is u, the radius of the cylindrical workpiece is R0, and the length coordinate of the cylindrical workpiece is L w , the radial coordinate of the cylindrical workpiece is ρ w , the circumferential spacing angle of the cylindrical workpiece is θ w ,θ w The value range is [0,2π].

[0048] The tool turning edge coordinate system is established with the center of the tool tip arc as the vertex, the geometric model of the tool is established, and the three-dimensional coordinates (X t (θ t ,u),Y t (θ t ,u),Z t (θ t ,u)), can be specifically expressed as:

[0049]

[0050] Since the shape of the workpiece is cylindrical, it is more convenient to express the coordinate points on the workpiece surface in a cylindrical coordinate system. By establishing a cylindrical coordinate system, the three-dimensional coordinates of any point on the surface of the cylinder in the cylindrical coordinate system can be obtained (L w ,ρ w ,θ w ), which can be specifically expressed as:

[0051] ρ w (L w ,θ w )=R0

[0052] Establish the tool-workpiece-lathe coordinate system, such as Figure 2 As shown, O m X m Y m Z m is the machine tool coordinate system, fixed; O t X t Y t Z t The tool coordinate system is the center of the tool vertex arc as the origin, along the Z m Axis horizontal movement and along the X m Axial sinusoidal vibration; Ow X w Y w Z w is the cylindrical workpiece coordinate system. The Z w Axis and machine coordinate system Z m Axis coincidence, X w Y w Plane around Z w The shaft rotates.

[0053] The rotation speed of the cylindrical workpiece during the actual turning process is set to n, the feed rate of the tool is set to f, and the turning depth of the tool is set to d.

[0054] Let the coordinate of the initial position of the origin of the tool turning edge coordinate system in the machine tool coordinate system be X s , the vertical distance between the origin of the tool coordinate system and the origin of the machine coordinate system is h m , the axial moving speed of the tool is v f The transformation matrix that transforms the point on the tool turning edge coordinate system to the machine tool coordinate system is T tm , then T tm Specifically expressed as:

[0055]

[0056] Let the angular velocity of the workpiece be ω s , the turning time is t, and the relative distance between the machine tool coordinate system and the cylindrical workpiece coordinate system on the spindle is z d The transformation matrix from the machine tool coordinate system to the cylindrical workpiece coordinate system is T mw , then T mw Specifically expressed as:

[0057]

[0058] Let the radial vibration displacement of the tool tip relative to the workpiece surface be A e , the vibration amplitude is H, the tool vibration frequency is ω, and the initial vibration phase is Then the vibration equation of the tool in the radial direction is:

[0059]

[0060] Therefore, the coordinates of any point on the cutting edge of the tool at any time in the workpiece coordinate system are:

[0061]

[0062] When running in the MATLAB environment, in order to speed up the operation efficiency of surface replacement in the turning process, the points in the workpiece coordinate system are usually transformed into the cylindrical coordinate system:

[0063]

[0064] When the tool is turning, for each cylindrical coordinate point (L tw (θ t ,u,t),ρ tw (θ t ,u,t),θ tw (θ t ,u,t)), we need to find the corresponding cylindrical coordinate point on the workpiece (L w ,ρ w ,θ w ), so let

[0065] ε L =|L w -L tw (θ t ,μ,t)|

[0066] ε θ =|θ w -θ tw (θ t ,μ,t)|

[0067] When the tool cuts into the workpiece surface, the cylindrical coordinate point (L tw (θ t ,u,t),ρ tw (θ t ,u,t),θ tw (θ t ,u,t)) and the cylindrical coordinate point on the surface of the cylindrical workpiece (L w ,ρ w ,θ w ) for comparison, if the angle error ε θ and axial error ε L Within the error range, and ρ tw (θ t ,u,t)<ρ w , then the ρ of the cutting edge of the tool tw (θ t ,u,t) value replaces the ρ value of the corresponding point on the workpiece. In this way, when the coordinate point of the tool turning edge is lower than the corresponding coordinate point on the workpiece surface, the coordinate point on the workpiece surface is replaced to form a new discrete surface of the workpiece. Otherwise, the coordinate point on the workpiece surface will not be replaced by the coordinate point on the turning edge surface. During the entire simulation process, the coordinate points on the workpiece surface are continuously replaced in the cycle until the end of the operation, that is, the coordinate points on the turning edge and the coordinate points on the workpiece surface are all compared. The error range is positively correlated with the discrete interval and is adjusted according to actual processing requirements.

[0068] In order to ensure that the V-shaped microstructure generated by turning the surface of the cylindrical barrel reaches the predetermined accuracy and shape, the present invention realizes the adjustment of the size of the V-shaped microstructure by accurately controlling the initial vibration frequency ω0 of the tool, the rotation speed n of the workpiece, and the rate of decrease of the vibration frequency of the tool a. After vibration analysis and simulation experiments, when the rate of decrease of the vibration frequency of the tool is a constant value, a V-shaped microstructure with regular distribution appears on the surface of the cylindrical barrel workpiece, and the initial vibration frequency ω0 of the tool, the rate of decrease of the vibration frequency of the tool a, and the rotation speed n of the workpiece are directly related to the generation of the size of the V-shaped microstructure. Specifically: the initial vibration frequency ω0 of the tool determines the circumferential density of the V-shaped microstructure. The larger the initial vibration frequency ω0 of the tool, the larger the circumferential density of the V-shaped microstructure. The rate of decrease of the vibration frequency of the tool a determines the axial size of the V-shaped microstructure. The larger the rate of decrease of the vibration frequency of the tool a, the smaller the axial size of the V-shaped microstructure. The rotation speed n of the workpiece determines the size of the V-shaped microstructure. The larger the rotation speed n of the workpiece, the smaller the size of the V-shaped microstructure. Therefore, by adjusting the initial vibration frequency ω0 of the tool, the rate of decrease of the vibration frequency of the tool a, and the rotation speed n of the cylindrical barrel workpiece, a V-shaped microstructure that meets different application requirements can be generated. The present invention not only optimizes the turning process, but also ensures the dimensional consistency and surface quality of the V-shaped microstructure by real-time monitoring and adjusting the tool vibration parameters.

[0069] The following are specific embodiments

[0070] Example

[0071] This embodiment provides a method for manufacturing a cylindrical V-shaped microstructure. Taking a common lathe as an example, the specific simulation method implementation steps are as follows:

[0072] Set the actual processing parameters.

[0073] The turning test was carried out on a common lathe CA6140. The tool model used in the test was DCMT11T304, the tool tip radius was 0.4mm, the diamond blade angle was 55°, and the tool back angle was 7°. The workpiece to be processed was a 40 steel cylinder with a diameter of 56.5mm. The tool vibration frequency was set to 1450Hz, the tool vibration frequency drop rate was set to 0.2Hz / s, and the workpiece speed was set to 560r / min. The turning experiment was carried out and the following results were obtained: Figure 4 Actual turning cylindrical surface microstructure.

[0074] Set the processing parameters.

[0075] A turning simulation experiment was carried out on a cylindrical workpiece using a diamond turning tool. The tool top angle radius was 0.4mm, the diamond blade angle was 55°, the tool back angle was 7°, the shortest distance from the point on the turning edge along the back tool surface to the main turning edge was 1mm, the radius of the cylindrical workpiece was 56.5mm, the length of the turning cylindrical workpiece was 30mm, the tool vibration amplitude was 0.05mm, and the tool turning depth was 0.8mm.

[0076] The simulation parameters are set as follows: tool vibration frequency ω0 is set to 1450 Hz, tool vibration frequency decrease rate a is set to 0.2 Hz / s, and workpiece speed is set to 560 r / min. Figure 4 The two-dimensional simulated V-shaped microstructure on the cylindrical surface is basically consistent with the actual V-shaped microstructure machined on the cylindrical surface.

[0077] By precisely controlling the initial vibration frequency ω0 of the tool, the vibration frequency drop rate a of the tool, and the workpiece speed n, V-shaped microstructures with different characteristics on the cylindrical surface can be finely generated. Figures 4 to 7 As shown in the figure, different processing parameters can produce different V-shaped vibration patterns. Figures 4 to 7 The parameters are shown in Table 1.

[0078] Table 1

[0079] <![CDATA[ω0(Hz)]]> a(Hz / s) n(r / min) f(mm) Figure 4 1450 0.2 560 0.1 Figure 5 (a) 1300 0.2 560 0.1 Figure 5 (b) 1600 0.2 560 0.1 Figure 6 (a) 1450 0.1 560 0.1 Figure 6 (b) 1450 0.3 560 0.1 Figure 7 (a) 1450 0.2 460 0.1 Figure 7 (b) 1450 0.2 660 0.1

[0080] It can be seen that this embodiment accurately realizes the surface morphology simulation of the cylindrical V-shaped microstructure.

[0081] It will be easily understood by those skilled in the art that the above description is only a preferred embodiment of the present invention and is not intended to limit the present invention. Any modifications, equivalent substitutions and improvements made within the spirit and principles of the present invention should be included in the protection scope of the present invention.

Claims

1. A method for manufacturing a cylindrical V-shaped microstructure, characterized in that: According to the relative vibration between the tool and the cylindrical workpiece (3) and the mechanical behavior during the turning process of the cylindrical tube, the V-shaped microstructure of the cylindrical surface is finely customized and optimized by optimizing the processing parameters and improving the accuracy of the control system, which specifically includes the following steps: Step 1. Establish a mathematical model of the turning edge of a tool used for turning and a mathematical model of the surface of a cylindrical workpiece (3), establish a machine tool coordinate system, a tool turning edge coordinate system and a cylindrical workpiece coordinate system used for turning, and obtain the coordinate points of the tool turning edge in the tool turning edge coordinate system and the coordinate points of the cylindrical workpiece surface in the cylindrical workpiece coordinate system; Step 2. In the simulation system, the rotation speed, feed rate, cutting depth and vibration parameters of the cylindrical workpiece (3) during the actual turning process are set; and discrete time intervals are set, with one time interval as one cycle, and in each cycle, the tool turning edge coordinate points obtained in the tool turning edge coordinate system are transformed into the cylindrical workpiece coordinate system by using the DH coordinate transformation method; Step 3. Compare the coordinate points on the turning edge with the coordinate points on the surface of the cylindrical workpiece (3). If the coordinate point on the tool surface is lower than the corresponding coordinate point on the surface of the cylindrical workpiece (3), the coordinate point on the surface of the cylindrical workpiece (3) is replaced by the coordinate point on the tool surface to form a new discrete surface of the cylindrical workpiece. Otherwise, the coordinate point on the surface of the cylindrical workpiece is retained. Step 4. Repeat the operation of step 3 until all the coordinate points on the turning edge and the coordinate points on the surface of the cylindrical workpiece are compared. The coordinate points on the surface of the cylindrical workpiece are continuously replaced during the cycle, thereby generating an accurate three-dimensional morphology of the cylindrical turning surface. Step 5. Adjust the parameters in step 2, repeat steps 3 to 4, obtain the parameters of turning the cylindrical workpiece and apply them to actual processing to achieve fine customization and optimization of the V-shaped microstructure on the surface of the cylindrical workpiece.

2. The method for manufacturing a cylindrical V-shaped microstructure according to claim 1, characterized in that: The vibration parameters of the tool include the initial vibration frequency ω0 of the tool, the workpiece rotation speed n and the tool vibration frequency decrease rate a. The initial vibration frequency ω0 of the tool controls the circumferential density of the V-shaped microstructure, the tool vibration frequency decrease rate a controls the axial size of the V-shaped microstructure, and the workpiece rotation speed n controls the size of the V-shaped microstructure. The size of the V-shaped microstructure can be adjusted by adjusting the tool vibration parameters.

3. The method for manufacturing a cylindrical V-shaped microstructure according to claim 1, characterized in that: In the tool turning edge coordinate system, the center of the tool tip arc is taken as the vertex, and the three-dimensional coordinate (X t (θ t ,u),Y t (θ t ,u),Z t (θ t ,u)) is expressed as: Among them, the tool top angle radius is R c , the angle of the diamond blade is θ t , the tool back angle is β, and the shortest distance from a point on the turning edge along the back tool surface to the main turning edge is u.

4. The method for manufacturing a cylindrical V-shaped microstructure according to claim 1, characterized in that: In the cylindrical workpiece coordinate system, the coordinates of any point on the surface of the cylindrical cylinder are expressed as: r w (L w ,i w )=R0; Among them, the radius of the cylindrical workpiece is R0, and the length coordinate of the cylindrical workpiece is L w , the radial coordinate of the cylindrical workpiece is ρ w , the circumferential spacing angle of the cylindrical workpiece is θ w ,θ w The value range is [0,2π].

5. The method for manufacturing a cylindrical V-shaped microstructure according to claim 1, characterized in that: In step 2, the transformation matrix T of the point on the tool turning edge coordinate system is converted to the machine tool coordinate system. tm : The coordinate of the initial position of the origin of the tool turning edge coordinate system in the machine tool coordinate system is X s , the vertical distance between the origin of the tool coordinate system and the origin of the machine coordinate system is h m , the axial moving speed of the tool is v f , the turning time is t; Transformation matrix T from the machine tool coordinate system to the cylindrical workpiece coordinate system mw : Among them, the angular velocity of the workpiece is ω s , the relative distance between the machine tool coordinate system and the cylindrical workpiece coordinate system on the spindle is z d , the radial vibration displacement of the tool tip relative to the workpiece surface is A e , the vibration amplitude is H, the tool vibration frequency is ω, and the initial vibration phase is Then the vibration equation of the tool in the radial direction is: The coordinates of any point on the cutting edge of the tool at any time in the workpiece coordinate system are:

6. The method for manufacturing a cylindrical V-shaped microstructure according to claim 1, characterized in that: In step 3, when the tool performs turning, the cylindrical coordinate point (L tw (θ t ,u,t),ρ tw (θ t ,u,t),θ tw (θ t ,u,t)) and the cylindrical coordinate point on the surface of the cylindrical workpiece (L w ,ρ w ,θ w ) for comparison, if the angle error ε θ and axial error ε L Within the error range, and ρ tw (θ t ,u,t)<ρ w , then the radial coordinate ρ of the tool turning edge is tw (θ t ,u,t) value to replace the radial coordinate ρ of the corresponding point on the cylindrical workpiece w value, otherwise the coordinate points on the surface of the cylindrical workpiece are retained, where: ε L =L w -L tw (θ t ,μ,t)|,ε θ =θ w -θ tw (θ t ,μ,t)|.

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