A crescent-shaped cutting edge carbide milling cutter and parameter design method thereof

Abstract

The present invention provides a crescent-shaped cutting edge cemented carbide milling cutter and a parameter design method thereof, and relates to the technical field of milling cutter design. The milling cutter of the present invention comprises a front cutter head, a peripheral blade portion and a shank portion, and the peripheral blade portion is provided with a plurality of crescent-shaped peripheral blades spirally extending toward the front cutter head, the front cutter head is provided with a plurality of crescent-shaped cutting edges, and the crescent-shaped cutting edges and the crescent-shaped peripheral blades are transitioned by circular arcs in pairs. The present invention ensures that the milling cutter has relatively excellent cutting performance through the arrangement of the crescent-shaped cutting edges and the crescent-shaped peripheral blades, and the arrangement of the circular arc transition between the crescent-shaped cutting edges and the crescent-shaped peripheral blades ensures the smoothness of the milling cutter when cutting metal workpieces.

Description

Technical Field

[0001] The invention relates to the technical field of milling cutter design, in particular to a crescent-shaped cutting edge cemented carbide milling cutter and a parameter design method thereof. Background Art

[0002] In the field of aerospace, the requirements for processing efficiency, quality and tool life are extremely strict. As an important tool in metal cutting, the performance of cemented carbide end mills directly affects the processing effect. Therefore, a cemented carbide end mill with excellent performance is particularly important for the processing of key aerospace parts.

[0003] The above information disclosed in this Background section is only for enhancement of understanding of the background of the present disclosure and therefore it may contain information that does not constitute the prior art that is already known to one of ordinary skill in the art. Summary of the invention

[0004] The object of the present invention is to provide a crescent-shaped cutting edge cemented carbide milling cutter and a parameter design method thereof to solve the problems raised in the above-mentioned background technology.

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

[0006] A crescent-shaped cutting edge cemented carbide milling cutter comprises a front cutter head, a peripheral cutting edge portion and a shank portion, wherein the peripheral cutting edge portion is provided with a plurality of crescent-shaped peripheral cutting edges spirally extending toward the front cutter head, the front cutter head is provided with a plurality of crescent-shaped cutting edges, and the crescent-shaped cutting edges and the crescent-shaped peripheral cutting edges are transitioned with circular arcs in between.

[0007] Furthermore, an end face chip groove is formed between adjacent crescent-shaped cutting edges, and a first back cutting edge and a front cutting edge with a curved surface structure are respectively connected to both sides of the crescent-shaped cutting edge, the side of the front cutting edge away from the crescent-shaped cutting edge is connected to the end face chip groove, and the side of the first back cutting edge away from the crescent-shaped cutting edge is connected to the other end face chip groove through a second back cutting edge.

[0008] Furthermore, a circumferential blade chip groove is formed between adjacent crescent-shaped circumferential blades, and the two sides of the crescent-shaped circumferential blade are respectively connected to a circumferential blade front cutting surface and a circumferential blade first back cutting surface, the circumferential blade front cutting surface is connected to the circumferential blade chip groove on the side away from the crescent-shaped circumferential blade, and the circumferential blade first back cutting surface is connected to the other circumferential blade chip groove through the circumferential blade second back cutting surface.

[0009] Furthermore, taking the center of the front cutter head as the coordinate origin O, an XOY plane coordinate system flush with the cross section of the front cutter head is established. The curve equation of the crescent-shaped cutting edge in the initial state satisfies the following relationship:

[0010] ;

[0011] in, is the variation parameter of the crescent-shaped cutting edge curve, and , R is the radius of the front cutting head, and , A1 is the amplitude of the crescent-shaped cutting edge, in microns, and , B1 is the distance from the starting point of the crescent-shaped cutting edge to the center of the milling cutter, and ;

[0012] The multiple crescent-shaped cutting edges in the initial state are rotated at different angles to finally form multiple different crescent-shaped cutting edges. The curve equation of the crescent-shaped cutting edges finally formed satisfies the following relationship:

[0013] ;

[0014] Wherein, k represents the number of different crescent-shaped cutting edges, and k=1, 2, 3, ..., N, N represents the total number of crescent-shaped cutting edges on the front cutter head, and , .

[0015] Furthermore, on the basis of the XOY plane coordinate system, the O-XYZ three-dimensional coordinate system is established with the milling cutter axis as the Z axis, and the Z axis is pointed in the direction of the front cutter head as the positive direction. The curve equation of the crescent-shaped peripheral edge satisfies the following relationship:

[0016] ;

[0017] in, is the variation parameter of the crescent-shaped edge curve, and , H is the length of the crescent-shaped peripheral edge, and , A is the amplitude of the crescent-shaped cutting edge, which is used to determine the crescent shape height of the crescent-shaped cutting edge, in micrometers, and , B is the frequency of the crescent-shaped peripheral edge, which is used to determine the number of times the crescent shape of the crescent-shaped peripheral edge appears in one spiral cycle, and , M is the pitch, which is used to determine the height of the spiral rise, and .

[0018] Furthermore, a rake angle that changes continuously along the radial direction of the front cutter head is formed between the front cutting edge and the crescent-shaped cutting edge, and when at the center position of the milling cutter, the rake angle reaches a minimum value, and the rake angle first increases and then decreases along the radial direction of the front cutter head.

[0019] Furthermore, at a predetermined position of the front cutter head radius At , the front angle reaches its maximum value. In the range of , the front angle increases in a decreasing manner along the radial direction of the front cutter head. In the range of , the rake angle decreases in a decelerating and increasing manner along the radial direction of the front cutter head, and .

[0020] A parameter design method is used to design the parameters of the above-mentioned crescent-shaped cutting edge cemented carbide milling cutter, comprising the following steps:

[0021] S1, establish the mathematical relationship between amplitude, frequency, pitch, cutting force, cutting temperature and chatter, as follows:

[0022] ;

[0023] in, represents the vibration at amplitude A, frequency B and pitch M, represents the cutting force at amplitude A, frequency B and pitch M, Indicates the cutting temperature at amplitude A, frequency B and pitch M, All are undetermined coefficients;

[0024] S2, establish the working model of the tool and the workpiece, simulate the cutting process under different amplitudes A, frequencies B and pitches M under the determined workpiece material characteristics, obtain the vibration data, cutting force data and cutting temperature data under various amplitudes A, frequencies B and pitches M through simulation analysis, and determine the unknown coefficients based on regression analysis ;

[0025] S3, define a comprehensive objective function, and based on a multi-objective optimization algorithm, find the optimal solution of amplitude A, frequency B and pitch M to minimize the comprehensive objective function;

[0026] Among them, the comprehensive objective function is as follows:

[0027] ;

[0028] Among them, the optimal solutions of amplitude A, frequency B and pitch M are calibrated as amplitude ,frequency and pitch , when the following conditions are met, the amplitude ,frequency and pitch As the optimal solution to minimize the comprehensive objective function;

[0029] There does not exist a solution such that:

[0030] ;

[0031] And there exists at least one solution such that:

[0032] .

[0033] Compared with the prior art, the present invention has the following beneficial effects:

[0034] The crescent-shaped cutting edge carbide milling cutter and parameter design method thereof of the present invention ensure that the milling cutter has relatively excellent cutting performance by arranging the crescent-shaped cutting edge and the crescent-shaped peripheral edge, and the circular arc transition between the crescent-shaped cutting edge and the crescent-shaped peripheral edge ensures the smoothness of the milling cutter when cutting metal workpieces, thereby improving the effect of processing key aerospace parts. BRIEF DESCRIPTION OF THE DRAWINGS

[0035] Figure 1 It is a schematic diagram of the three-dimensional structure of the milling cutter in the present invention;

[0036] Figure 2 It is a top view schematic diagram of the front cutter head in the present invention;

[0037] Figure 3 is a cross-sectional schematic diagram of the peripheral blade portion in the present invention;

[0038] Figure 4 Schematic diagram of the distribution of the curves of the five crescent-shaped cutting edges in the present invention;

[0039] Figure 5 This is a schematic diagram of the front angle changing along the radial direction in the present invention;

[0040] Figure 6 It is a schematic diagram of the spiral curve of the crescent-shaped peripheral blade in the present invention.

[0041] Figure numerals: 100 front cutting head, 200 peripheral cutting edge, 1 crescent-shaped cutting edge, 2 front cutting face, 3 end face chip groove, 4 shank, 5 first clearance face, 6 second clearance face, 7 crescent-shaped peripheral cutting edge, 8 peripheral cutting edge chip groove, 9 peripheral cutting edge first clearance face, 10 peripheral cutting edge second clearance face, 11 peripheral cutting edge front cutting face. DETAILED DESCRIPTION

[0042] In order to make the objectives, technical solutions and advantages of the present invention more clearly understood, the present invention is further described in detail below in conjunction with specific embodiments.

[0043] It should be noted that, unless otherwise defined, the technical terms or scientific terms used in the present invention should be understood by people with ordinary skills in the field to which the present invention belongs. The words "first", "second" and similar words used in the present invention do not indicate any order, quantity or importance, but are only used to distinguish different components. "Include" or "comprise" and similar words mean that the elements or objects appearing before the word include the elements or objects listed after the word and their equivalents, without excluding other elements or objects. "Connect" or "connected" and similar words are not limited to physical or mechanical connections, but may include electrical connections, whether direct or indirect. "Up", "down", "left", "right" and the like are only used to indicate relative positional relationships. When the absolute position of the described object changes, the relative positional relationship may also change accordingly.

[0044] See also Figure 1-Figure 6 , the present invention provides the following embodiments:

[0045] Embodiment 1:

[0046] A crescent-shaped cutting edge cemented carbide milling cutter comprises a front cutter head 100, a peripheral cutting edge portion 200 and a shank portion 4, wherein the peripheral cutting edge portion 200 is provided with a plurality of crescent-shaped peripheral cutting edges 7 spirally extending toward the front cutter head 100, and the front cutter head 100 is provided with a plurality of crescent-shaped cutting edges 1, such as the number of the crescent-shaped cutting edges 1 and the number of the crescent-shaped peripheral cutting edges 7 are both 5, and the crescent-shaped cutting edges 1 and the crescent-shaped peripheral cutting edges 7 are transitioned by circular arcs in pairs, and the cutting performance of the milling cutter is ensured by the arrangement of the crescent-shaped cutting edges 1 and the crescent-shaped peripheral cutting edges 7, and the smoothness of the milling cutter when cutting a metal workpiece is ensured by the arrangement of the circular arc transition between the crescent-shaped cutting edges 1 and the crescent-shaped peripheral cutting edges 7;

[0047] Wherein, an end face chip groove 3 is formed between adjacent crescent-shaped cutting edges 1, and the end face chip groove 3 is used to discharge metal scraps generated in the process of the crescent-shaped cutting edge 1 cutting a metal workpiece. The two sides of the crescent-shaped cutting edge 1 are respectively connected with a first flank face 5 and a front cutting face 2 with a curved surface structure, and the side of the front cutting face 2 away from the crescent-shaped cutting edge 1 is connected to the end face chip groove 3, and the side of the first flank face 5 away from the crescent-shaped cutting edge 1 is connected to the other end face chip groove 3 through a second flank face 6;

[0048] Among them, a circumferential blade chip groove 8 is formed between adjacent crescent-shaped circumferential blades 7, and the circumferential blade chip groove 8 is used to discharge metal waste generated during the crescent-shaped circumferential blade 7 cutting a metal workpiece. The two sides of the crescent-shaped circumferential blade 7 are respectively connected to a circumferential blade rake face 11 and a circumferential blade first flank face 9, the side of the circumferential blade rake face 11 away from the crescent-shaped circumferential blade 7 is connected to the circumferential blade chip groove 8, and the side of the circumferential blade first flank face 9 away from the crescent-shaped circumferential blade 7 is connected to the other circumferential blade chip groove 8 through the circumferential blade second flank face 10.

[0049] Embodiment 2:

[0050] Embodiment 2 Based on Embodiment 1, the structural parameters of the crescent-shaped cutting edge carbide milling cutter are disclosed, including: taking the center of the front cutter head 100 as the coordinate origin O, establishing an XOY plane coordinate system flush with the cross section of the front cutter head 100, and the curve equation of the crescent-shaped cutting edge 1 in the initial state satisfies the following relationship:

[0051] ;

[0052] in, is the variation parameter of the crescent-shaped cutting edge 1 curve, and , R is the radius of the front cutting head 100, and , A1 is the amplitude of the edge of the crescent-shaped cutting edge 1, in microns, and , B1 is the distance from the starting point of the crescent-shaped cutting edge 1 to the center of the milling cutter, and ;

[0053] when When the coordinates (R, 0) of the crescent-shaped cutting edge 1 curve are the starting point of the crescent-shaped cutting edge 1 curve, At this time, the coordinates (B1, 0) of the crescent-shaped cutting edge 1 curve are the end point of the crescent-shaped cutting edge 1 curve. From 0 to During the change, a complete crescent-shaped cutting edge 1 curve is drawn;

[0054] The multiple crescent-shaped cutting edges 1 in the initial state are rotated at different angles to finally form multiple different crescent-shaped cutting edges 1. The curve equation of the crescent-shaped cutting edges 1 finally formed satisfies the following relationship:

[0055] ;

[0056] Wherein, k represents the serial number of different crescent-shaped cutting edges 1, and k=1, 2, 3, ..., N, N represents the total number of crescent-shaped cutting edges 1 on the front cutting head 100, and , ;

[0057] On the basis of the XOY plane coordinate system, the O-XYZ three-dimensional coordinate system is established with the milling cutter axis as the Z axis, and the Z axis is pointed in the direction of the front cutter head 100 as the positive direction. The curve equation of the crescent-shaped peripheral edge 7 satisfies the following relationship:

[0058] ;

[0059] in, is the variation parameter of the crescent-shaped peripheral edge 7 curve, and , H is the edge length of the crescent-shaped peripheral edge 7, and , A is the amplitude of the edge of the crescent-shaped peripheral cutting edge 7, which is used to determine the crescent shape height of the crescent-shaped peripheral cutting edge 7, and the unit is micrometer, and , B is the frequency of the crescent-shaped peripheral edge 7, which is used to determine the number of times the crescent shape of the crescent-shaped peripheral edge 7 appears in one spiral cycle, and , M is the pitch, which is used to determine the height of the spiral rise, and ;

[0060] when When the coordinates (R, 0, 0) of the crescent-shaped peripheral edge 7 curve are the starting point of the crescent-shaped peripheral edge 7 curve, When the coordinates of the crescent-shaped peripheral edge 7 curve are It is the end point of the curve of the crescent-shaped peripheral edge 7;

[0061] A rake angle that changes continuously along the radial direction of the front cutter head 100 is formed between the front cutting face 2 and the crescent-shaped cutting edge 1, and the rake angle reaches a minimum value when the milling cutter is at the center position, thereby effectively improving the service life of the crescent-shaped cutting edge 1 of the front cutter head 100, and the rake angle first increases and then decreases along the radial direction of the front cutter head 100;

[0062] Further, at a predetermined position of the front cutter head 100 radius At , the front angle reaches its maximum value. , i.e. the predetermined location Located on the front blade 100 radius, and the predetermined position The distance between the center of the milling cutter is 0.5R-0.8R. In the range of , the front angle increases in a decreasing manner along the radial direction of the front cutter head 100, thereby improving the cutting ability of the crescent-shaped cutting edge 1 during cutting, increasing the surface finish, reducing the problem of secondary processing due to obvious cutter marks and burrs, and improving the processing efficiency. Within the range of , the front angle decreases in a decelerating and increasing manner along the radial direction of the front cutter head 100, thereby reducing the elastic deformation of the cutting chips when they are cut off, reducing the friction resistance between the cutting chips and the front cutting surface 2 when they flow out, and extending the service life of the crescent-shaped cutting edge 1.

[0063] Embodiment three:

[0064] Embodiment 3 provides a parameter design method based on Embodiment 1, which is used to design the parameters of the above-mentioned crescent-shaped cutting edge cemented carbide milling cutter, and comprises the following steps:

[0065] S1, establish the mathematical relationship between amplitude, frequency, pitch, cutting force, cutting temperature and chatter, as follows:

[0066] ;

[0067] in, represents the vibration at amplitude A, frequency B and pitch M, represents the cutting force at amplitude A, frequency B and pitch M, Indicates the cutting temperature at amplitude A, frequency B and pitch M, All are undetermined coefficients;

[0068] S2, establish the working model of the tool and the workpiece, simulate the cutting process under different amplitudes A, frequencies B and pitches M under the determined workpiece material characteristics, obtain the vibration data, cutting force data and cutting temperature data under various amplitudes A, frequencies B and pitches M through simulation analysis, and determine the unknown coefficients based on regression analysis ;

[0069] Among them, the working model of the tool and the workpiece is established, and under the determined workpiece material characteristics, the cutting process under different amplitudes A, frequencies B and pitches M is simulated. The vibration data, cutting force data and cutting temperature data under various amplitudes A, frequencies B and pitches M are obtained through simulation analysis. The finite element method in the prior art can be used, including the following steps: 1) Establishing the geometric model of the tool and the workpiece, specifically, the modeling tool provided by the CAD software or FEM software can be used to create the geometric model of the tool and the workpiece; 2) Defining the workpiece material characteristics, specifically selecting and defining the physical and mechanical properties of the workpiece material. Mechanical properties, such as elastic modulus, Poisson's ratio, thermal conductivity, etc.; 3) Set boundary conditions and loading conditions. Boundary conditions are used to simulate fixed or constrained parts in the actual working environment, and loading conditions are used to apply external forces, cutting speeds, feed rates, etc.; 4) Divide the geometric model into finite element grids, which are the basic calculation units of the finite element method; 5) Set cutting simulation parameters, specifically define the amplitude A, frequency B and pitch M during the cutting process; 6) Perform finite element simulation to simulate the cutting process of the tool and workpiece to obtain vibration data, cutting force data and cutting temperature data;

[0070] Among them, the unknown coefficients are determined based on regression analysis The existing linear regression model technology can be used, including the following steps: 1) taking amplitude A, frequency B and pitch M as independent variables, and taking the corresponding vibration, cutting force and cutting temperature data as target variables; 2) taking logarithmic transformation of the target variables and independent variables, and fitting the transformed data using a linear regression model to obtain regression results; 3) converting the coefficients in the regression results back to the undetermined coefficients in the original relationship;

[0071] S3, define a comprehensive objective function, and based on a multi-objective optimization algorithm, find the optimal solution of amplitude A, frequency B and pitch M to minimize the comprehensive objective function;

[0072] Among them, the comprehensive objective function is as follows:

[0073] ;

[0074] Among them, the optimal solutions of amplitude A, frequency B and pitch M are calibrated as amplitude ,frequency and pitch , when the following conditions are met, the amplitude ,frequency and pitch As the optimal solution to minimize the comprehensive objective function;

[0075] There does not exist a solution such that:

[0076] ;

[0077] And there exists at least one solution such that:

[0078] ;

[0079] The parameter design method of the third embodiment optimizes the force distribution and vibration characteristics in the cutting process by adjusting the amplitude, frequency and pitch of the crescent-shaped circumferential blade, ensures a reasonable distribution of cutting force, reduces vibration, and improves heat dissipation performance, thereby improving tool durability, processing accuracy and efficiency, and improving processing stability and surface quality. The parametric design method is adopted to adjust the geometric parameters of the crescent-shaped cutting edge to quickly adapt to the processing requirements of different materials and working conditions. The finite element analysis and multi-objective optimization algorithm are combined to ensure the optimality and practicality of the design, simplify the design and manufacturing process, and reduce costs.

[0080] The above formulas are all dimensionless and numerical calculations. The formula is a formula for the most recent real situation obtained by collecting a large amount of data and performing software simulation. The preset parameters in the formula are set by technicians in this field according to actual conditions.

[0081] The above embodiments may be implemented in whole or in part by software, hardware, firmware or any other combination thereof. When implemented by software, the above embodiments may be implemented in whole or in part in the form of a computer program product. Those skilled in the art may appreciate that the units and algorithm steps of each example described in conjunction with the embodiments disclosed herein may be implemented by electronic hardware, or a combination of computer software and electronic hardware. Whether these functions are performed by hardware or software methods depends on the specific application and design constraints of the technical solution.

[0082] The units described as separate components may or may not be physically separated, and the components shown as units may or may not be physical units, and may be located in one place or distributed on multiple network units. Some or all of the units may be selected according to actual needs to achieve the purpose of the solution of this embodiment.

[0083] The above description is only a specific implementation manner of the present application, but the protection scope of the present application is not limited thereto. Any technician familiar with the technical field can easily think of changes or substitutions within the technical scope disclosed in the present application, which should be included in the protection scope of the present application.

Claims

1. A crescent-shaped cutting edge cemented carbide milling cutter, comprising a front cutter head, a peripheral cutting edge portion and a shank portion, wherein the peripheral cutting edge portion has a plurality of crescent-shaped peripheral cutting edges spirally extending toward the front cutter head, characterized in that: The front cutting head is provided with a plurality of crescent-shaped cutting edges, and the crescent-shaped cutting edges and the crescent-shaped peripheral edges are transitioned by circular arcs in between each other; With the center of the front cutter head as the coordinate origin O, an XOY plane coordinate system flush with the cross section of the front cutter head is established. The curve equation of the crescent-shaped cutting edge in the initial state satisfies the following relationship: ； in, is the variation parameter of the crescent-shaped cutting edge curve, and , R is the radius of the front cutting head, and , A1 is the amplitude of the crescent-shaped cutting edge, in microns, and , B1 is the distance from the starting point of the crescent-shaped cutting edge to the center of the milling cutter, and ; The multiple crescent-shaped cutting edges in the initial state are rotated at different angles to finally form multiple different crescent-shaped cutting edges. The curve equation of the crescent-shaped cutting edges finally formed satisfies the following relationship: ； Wherein, k represents the number of different crescent-shaped cutting edges, and k=1, 2, 3, ..., N, N represents the total number of crescent-shaped cutting edges on the front cutter head, and , .

2. The crescent-shaped cutting edge cemented carbide milling cutter according to claim 1, characterized in that: An end face chip groove is formed between adjacent crescent-shaped cutting edges, and a first back tool surface and a front tool surface with a curved surface structure are respectively connected to both sides of the crescent-shaped cutting edge. The side of the front tool surface away from the crescent-shaped cutting edge is connected to the end face chip groove, and the side of the first back tool surface away from the crescent-shaped cutting edge is connected to the other end face chip groove through a second back tool surface.

3. The crescent-shaped cutting edge cemented carbide milling cutter according to claim 1, characterized in that: A circumferential blade chip groove is formed between adjacent crescent-shaped circumferential blades, and the two sides of the crescent-shaped circumferential blade are respectively connected to a circumferential blade rake face and a circumferential blade first back face, the side of the circumferential blade rake face away from the crescent-shaped circumferential blade is connected to the circumferential blade chip groove, and the side of the circumferential blade first back face away from the crescent-shaped circumferential blade is connected to the other circumferential blade chip groove through the circumferential blade second back face.

4. The crescent-shaped cutting edge cemented carbide milling cutter according to claim 1, characterized in that: On the basis of the XOY plane coordinate system, the O-XYZ three-dimensional coordinate system is established with the milling cutter axis as the Z axis, and the Z axis is pointed in the direction of the front cutter head as the positive direction. The curve equation of the crescent-shaped peripheral edge satisfies the following relationship: ； in, is the variation parameter of the crescent-shaped edge curve, and , H is the edge length of the crescent-shaped peripheral edge, and , A is the amplitude of the crescent-shaped cutting edge, which is used to determine the crescent shape height of the crescent-shaped cutting edge, in micrometers, and , B is the frequency of the crescent-shaped peripheral edge, which is used to determine the number of times the crescent shape of the crescent-shaped peripheral edge appears in one spiral cycle, and , M is the pitch, which is used to determine the height of the spiral rise, and .

5. The crescent-shaped cutting edge cemented carbide milling cutter according to claim 2, characterized in that: A rake angle that changes continuously along the radial direction of the front cutter head is formed between the front cutting surface and the crescent-shaped cutting edge, and when the milling cutter is at the center position, the rake angle reaches a minimum value, and the rake angle first increases and then decreases along the radial direction of the front cutter head.

6. The crescent-shaped cutting edge cemented carbide milling cutter according to claim 5, characterized in that: At the predetermined position of the front cutter radius At , the front angle reaches its maximum value. In the range of , the front angle increases in a decreasing manner along the radial direction of the front cutter head. In the range of , the rake angle decreases in a decelerating and increasing manner along the radial direction of the front cutter head, and .

7. A parameter design method for designing parameters of a crescent-shaped cutting edge carbide milling cutter according to claim 4, characterized in that: The steps include: S1, establish the mathematical relationship between amplitude, frequency, pitch, cutting force, cutting temperature and chatter, as follows: ； in, represents the vibration at amplitude A, frequency B and pitch M, represents the cutting force at amplitude A, frequency B and pitch M, Indicates the cutting temperature at amplitude A, frequency B and pitch M, All are undetermined coefficients; S2, establish the working model of the tool and the workpiece, simulate the cutting process under different amplitudes A, frequencies B and pitches M under the determined workpiece material characteristics, obtain the vibration data, cutting force data and cutting temperature data under various amplitudes A, frequencies B and pitches M through simulation analysis, and determine the unknown coefficients based on regression analysis ; S3, define a comprehensive objective function, and based on a multi-objective optimization algorithm, find the optimal solution of amplitude A, frequency B and pitch M to minimize the comprehensive objective function; Among them, the comprehensive objective function is as follows: ； Among them, the optimal solutions of amplitude A, frequency B and pitch M are calibrated as amplitude ,frequency and pitch , when the following conditions are met, the amplitude ,frequency and pitch As the optimal solution to minimize the comprehensive objective function; There does not exist a solution such that: ； And there exists at least one solution such that: 。

Images