Design method of drill point slotting sand contour shape and computer readable storage medium

Abstract

The invention discloses a design method for a slotting sand profile of a drill point and a computer readable storage medium, and the design method comprises the steps: constructing an equation of a spiral line where five or more feature points formed by intersection of a chip groove and a tool face of the drill point are located according to structural parameters of the drill point, according to the offset angle of the grinding wheel and the coordinates of the intersection points of the groove section of the chip groove and the spiral lines, the contour coordinates corresponding to the coordinates of the intersection points on the section contour of the grinding wheel are obtained, and the circle center coordinates, the contour radius and the central angle of each arc section of the section contour of the grinding wheel can be determined through the contour coordinates and preset parameters of the section contour of the grinding wheel; therefore, the section profile of the grinding wheel is determined. According to the method, the section contour of the grinding wheel meeting the machining requirement can be directly obtained according to the structural parameters of the drill point in a back-stepping mode, repeated tests and adjustment are not needed, manpower is greatly saved, the design efficiency of the section contour of the grinding wheel is improved, and meanwhile the consistency of the drill point can be controlled easily.

Description

Technical Field

[0001] The present technology relates to the field of grinding wheel design, and in particular to a design method for a drill bit slotted grinding wheel profile and a computer-readable storage medium. Background Art

[0002] As electronic equipment and devices develop towards precision and integration, the requirements for printed circuit board (PCB) drilling processing are becoming increasingly stringent. Among them, the consistency of the drill bit is an important prerequisite for ensuring processing consistency. The slotted grinding wheel is an important tool for slotting the drill bit chip grooves, and its profile after grinding is an important factor affecting the drill bit shape.

[0003] At present, the cross-sectional profile of a slotted grinding wheel generally includes two straight line segments and two or more arc segments. The arc segment is located between the two straight line segments, and the straight line segment is tangent to the adjacent arc segment. In actual work, the staff usually fix the angle of the two straight line segments, and only conduct repeated tests and adjustments to the arc segment between the two straight line segments based on experience, so as to obtain a cross-sectional profile of the grinding wheel that meets the processing requirements. However, this method is time-consuming and labor-intensive in actual applications and is not conducive to controlling the consistency of the drill bit. Summary of the invention

[0004] The present application aims to provide a design method for the profile of a drill bit slotted grinding wheel and a computer-readable storage medium, which can solve the technical problems of low grinding efficiency and poor consistency control of slotted grinding wheels existing in the above-mentioned background technology.

[0005] To achieve the above-mentioned purpose, the present application provides a method for designing a drill bit slotted sand profile, comprising:

[0006] Acquiring structural parameters of the drill bit;

[0007] Acquire five or more characteristic points formed by the intersection of the chip groove and the tool face of the drill bit;

[0008] According to the structural parameters of the drill bit, constructing the equation of the spiral line where each characteristic point is located;

[0009] Obtaining the coordinates of the intersection points formed by the intersection of a groove cross section of the chip removal groove and each of the spiral lines;

[0010] According to the offset angle of the grinding wheel and the coordinates of each intersection point, the contour coordinates corresponding to the coordinates of each intersection point on the cross-sectional contour of the grinding wheel are obtained:

[0011] According to the contour coordinates and preset parameters of the grinding wheel cross-sectional profile, the center coordinates, contour radius and center angle of the grinding wheel cross-sectional profile are obtained.

[0012] Optionally, the chip groove intersects with the tool surface to form a plurality of line segments, and the characteristic points include fixed points and moving points, the fixed points are the endpoints of the line segments, and each line segment has a moving point, and the moving point is at least one point on the line segment except the endpoints.

[0013] Optionally, the structural parameters of the drill bit include: radius r, core thickness w, helix angle Flank angle β, drill point angle α, ground angle γ, angle λ between chisel edge and center line, radial variation rate ω of the axial section of the chip groove, and axial variation rate v of the axial section of the chip groove;

[0014] The step of constructing the equation of the spiral line where each characteristic point is located according to the structural parameters of the drill bit comprises:

[0015] According to the core thickness w, radius r, flank angle β, drill point angle α, ground angle γ and angle λ between the chisel edge and the center line of the drill needle, the coordinate value of the characteristic point in the spatial rectangular coordinate system is obtained;

[0016] According to the radial change rate ω of the axial cross section of the chip groove and the axial change rate v of the axial cross section of the chip groove, the coordinate relationship between each of the characteristic points and its corresponding point on any of the axial cross sections of the chip groove is obtained;

[0017] According to the helix angle and radius r, to obtain the relationship between the radial change rate ω of the axial section of the chip groove and the axial change rate v of the axial section of the chip groove;

[0018] The equation of the spiral line where each of the characteristic points is located is constructed by combining the coordinate values ​​of each of the characteristic points, the coordinate relationship, and the relationship between the radial change rate ω of the axial section of the chip groove and the axial change rate v of the axial section of the chip groove.

[0019] Optionally, the spatial rectangular coordinate system is established with the drill tip of the drill needle as the origin, the straight line where the projection of the center line on the end face of the drill needle is located as the X-axis, and the straight line where the axis of the drill needle is located as the Z-axis;

[0020] The equation of the spiral line where the characteristic point is located is:

[0021]

[0022] Where R is the radius of the spiral line where the feature point is located,

[0023]

[0024] Where x, y, and z are the coordinates of the point on the spiral line on the X-axis, Y-axis, and Z-axis respectively, and m i is the phase of the helix on the X axis, n iis the phase of the helix on the Y axis, m i and n i Substituting the coordinate value of the i-th feature point into the spiral equation, i∈[1,q], q is the number of feature points.

[0025] Optionally, obtaining the coordinates of intersections formed by the intersection of a groove cross section of the chip removal groove and each of the spiral lines includes:

[0026] Obtaining a plane equation of a groove cross section of the chip groove;

[0027] The plane equation and the spiral line equation where each of the feature points is located are combined to obtain the coordinates of the intersection point.

[0028] Optionally, a spatial rectangular coordinate system is established with the drill tip of the drill needle as the origin, the straight line where the projection of the center line on the end face of the drill needle is located as the X-axis, and the straight line where the axis of the drill needle is located as the Z-axis;

[0029] The plane equation is:

[0030]

[0031] The calculation formula of the contour coordinates is:

[0032] y′ pi =y′ i

[0033]

[0034] Among them, x′ i , y′ i and z′ i are the values ​​of the intersection coordinates on the X-axis, Y-axis and Z-axis respectively, x′ pi , y′ pi and z′ pi are the values ​​of the contour coordinates on the X-axis, Y-axis and Z-axis respectively, θ offset is the offset angle of the grinding wheel, is the helix angle of the drill needle, i∈[1,k], k is the number of the helix lines.

[0035] Optionally, the contour coordinates include fixed-point contour coordinates and moving-point contour coordinates, the fixed-point contour coordinates are determined according to the offset angle of the grinding wheel and the intersection coordinates corresponding to the fixed point; the moving-point contour coordinates are determined according to the offset angle of the grinding wheel and the intersection coordinates corresponding to the moving point;

[0036] The method of obtaining the center coordinates, the profile radius and the center angle of the grinding wheel cross-sectional profile according to the profile coordinates and the preset parameters of the grinding wheel cross-sectional profile comprises:

[0037] Determine a target perpendicular bisector according to the contour coordinates; the target perpendicular bisector is a perpendicular bisector of a line connecting adjacent fixed-point contour coordinates and moving-point contour coordinates;

[0038] Determine the intersection points where the perpendicular midlines of the target between two adjacent fixed-point contour coordinates intersect each other, and obtain the coordinates of the center of the circle;

[0039] The contour radius of the cross-sectional contour of the grinding wheel is obtained by calculating the distance between the center coordinates and the contour coordinates corresponding to the center coordinates;

[0040] The center angle of the grinding wheel cross-sectional profile is determined according to the center coordinates, the profile radius, the profile coordinates and the preset parameters of the grinding wheel cross-sectional profile, or the center angle of the grinding wheel cross-sectional profile is determined according to the center coordinates, the profile coordinates and the preset parameters of the grinding wheel cross-sectional profile.

[0041] Optionally, the preset parameters include an opening angle of a straight line segment of the grinding wheel cross-sectional profile.

[0042] Optionally, the chip groove and the cutting surface intersect to form a main cutting edge and a rear edge, the main cutting edge and the rear edge intersect to form three fixed points, and the moving points are respectively formed on the main cutting edge and the rear edge.

[0043] To achieve the above objectives, the present application also provides a computer-readable storage medium storing a computer program. When the computer program is executed, the above-mentioned method for designing the drill bit slot sand profile can be implemented.

[0044] In the present application, according to the structural parameters of the drill bit, the equation of the spiral line where five or more characteristic points formed by the intersection of the chip groove and the blade of the drill bit are located is constructed, and according to the offset angle of the grinding wheel and the coordinates of the intersection of a groove section of the chip groove and each spiral line, the contour coordinates corresponding to the coordinates of each intersection on the cross-sectional profile of the grinding wheel are obtained. The center coordinates, contour radius and center angle of each arc segment of the cross-sectional profile of the grinding wheel can be determined by using the preset parameters of the contour coordinates and the cross-sectional profile of the grinding wheel, thereby determining the cross-sectional profile of the grinding wheel. This method can directly reverse the cross-sectional profile of the grinding wheel that meets the processing requirements according to the structural parameters of the drill bit, without the need for repeated tests and adjustments, which greatly saves manpower and improves the design efficiency of the cross-sectional profile of the grinding wheel, while being conducive to controlling the consistency of the drill bit. BRIEF DESCRIPTION OF THE DRAWINGS

[0045] Figure 1 This is a flow chart of a method for designing a drill bit slot sand profile according to an embodiment of the present application.

[0046] Figure 2 This is a schematic diagram of the grooving of the grinding wheel according to an embodiment of the present application.

[0047] Figure 3 This is a schematic diagram of the structure of the drill needle according to an embodiment of the present application.

[0048] Figure 4 for Figure 3 Enlarged view of part A in the middle.

[0049] Figure 5 This is a schematic diagram of the end face structure of the drill bit according to an embodiment of the present application.

[0050] Figure 6 and Figure 7 The following are side structural diagrams from different perspectives of the local structure of the drill bit according to the embodiment of the present application.

[0051] Figure 8 This is a structural schematic diagram of the sand profile of an embodiment of the present application.

[0052] Fig. 9 This is another end view of the drill bit according to the embodiment of the present application.

[0053] Fig.10 It is a schematic diagram of the spiral line where each characteristic point of the embodiment of the present application is located.

[0054] Fig.11 This is a schematic diagram of the intersection of the groove cross section and each spiral line in an embodiment of the present application.

[0055] Fig.12 A flowchart of constructing the equation of the spiral line where each characteristic point is located for the embodiment of the present application.

[0056] Fig.13 A flow chart for calculating the center coordinates, profile radius and center angle of a grinding wheel cross-section profile in an embodiment of the present application.

[0057] Fig.14 This is a flow chart for calculating the center coordinates, profile radius and center angle of a grinding wheel cross-section profile in another embodiment of the present application.

[0058] Fig.15 A schematic diagram of obtaining a first arc segment for an embodiment of the present application.

[0059] Fig.16 A schematic diagram of obtaining a second arc segment for an embodiment of the present application.

[0060] Fig.17 A schematic diagram of obtaining a first central angle value in an embodiment of the present application. DETAILED DESCRIPTION

[0061] In order to explain the technical content, structural features, achieved objectives and effects of the present application in detail, the following is a detailed description in conjunction with the implementation methods and the accompanying drawings.

[0062] See also Figures 1 to 17 The embodiment of the present application discloses a method for designing a drill bit slot sand profile, including steps S10-S60.

[0063] S10, obtaining structural parameters of the drill bit 1.

[0064] See also Figures 3 to 5 The drill needle 1 comprises a chip groove 11 and a blade face 12. The chip groove 11 is spirally opened on the side wall of the drill needle 1 along the axial direction of the drill needle 1, and intersects with the blade face 12 arranged at the end of the drill needle 1 to form a cutting edge.

[0065] For drills of different shapes, the structural parameters of the blade surface 12 will also be different. The following is an example of a drill whose blade surface 12 includes two first flank surfaces 121 and two second flank surfaces 122:

[0066] For drills of different shapes, the structural parameters of the blade 12 will also be different. In a specific example, the blade 12 has a drill tip 123 (center point) and two first back blades 121 and two second back blades 122 symmetrical about the drill tip 123, each first back blade 121 is connected to a second back blade 122 through a center line 115 (the contours of the two center lines 115 on the end face of the drill are located on the same straight line passing through the drill tip 123, and the end face of the drill refers to a plane passing through the drill tip 123 of the drill 1 and perpendicular to the axis of the drill 1.), and Another second flank face 122 is connected by a chisel edge 116, and the two chisel edges 116 intersect at the drill tip 123. The side of each first flank face 121 opposite to the center line 115 intersects with the chip groove 11 to form a main cutting edge 111, and the side of each second flank face 122 opposite to the center line 115 intersects with the chip groove 11 to form a flank edge 112. Each main cutting edge 111 intersects with the corresponding flank edge 112 at an end of a chisel edge 116 away from the drill tip 123.

[0067] Specifically, the structural parameters of the drill needle 1 include the radius r, core thickness w, helix angle The drill point angle α, the ground angle γ, the angle λ between the center line 115 and the chisel edge 116 and the flank angle β.

[0068] The core thickness w is the distance between the projections of the two main cutting edges 111 on the end face of the drill bit, and the helix angle is the angle between each spiral line on the flute surface of the chip flute 11 and the axial direction of the drill needle 1, the drill point angle α is the angle between the two center lines 115, the land angle y is the angle between the line connecting the end of the back edge 112 away from the main cutting edge 111 and the drill point 123 and the projection of the center line 115 on the end face of the drill needle, and the back face angle β is the angle between the plane where the back face is located and the set plane. Among them, the set plane passes through the center line 115 and forms a certain angle with the axis of the drill needle 1 (1 / 2 drill point angle α).

[0069] Furthermore, the flank angle β includes a first flank angle β1 and a second flank angle β2. β1 is the angle between the first flank face 121 and the set plane, and β2 is the angle between the second flank face 122 and the set plane. The angle λ between the center line 115 and the chisel edge 116 is calculated as:

[0070] λ=tan -1 (2sinα / (tanβ1+tanβ2)).

[0071] S20, obtaining five or more characteristic points formed by the intersection of the chip flute 11 and the cutting surface 12 of the drill bit 1.

[0072] See also Figures 2 to 4 The chip groove 11 is formed by slotting the grinding wheel 2, and is spirally arranged along the axial direction of the drill needle 1 and intersects with the blade 12 located at the end of the drill needle 1. According to the specific structure of the blade 12, the chip groove 11 and the blade 12 can intersect to form a number of line segments, and a line segment can correspond to an arc segment in the cross-sectional profile of the grinding wheel 2. For example, the cross-sectional profile of the grinding wheel 2 includes two connected arc segments. According to the principle of the circumscribed circle, the two connected arc segments need at least five points to be confirmed, so the feature points include at least five. For details, please refer to Fig.11 as well as Figures 15 to 17 , the characteristic points Q1, Q2, Q3, Q4 and Q5 on the cross-sectional profile of the grinding wheel correspond to points P1', P2', P3', P4' and P5' on a groove cross section of the chip groove 11 respectively, that is, the point Q1 corresponding to the intersection point P1' between the spiral line L1 where the first characteristic point P1 is located and the groove cross section PL on the cross-sectional profile of the grinding wheel is the first corresponding point, the point Q2 corresponding to the intersection point P2' between the spiral line L2 where the second characteristic point P2 is located and the groove cross section PL on the cross-sectional profile of the grinding wheel is the second corresponding point, the point Q3 corresponding to the intersection point P3' between the spiral line L3 where the third characteristic point P3 is located and the groove cross section PL on the cross-sectional profile of the grinding wheel is the third corresponding point, the point Q4 corresponding to the intersection point P4' between the spiral line L4 where the fourth characteristic point P4 is located and the groove cross section PL on the cross-sectional profile of the grinding wheel is the fourth corresponding point, and the point Q5 corresponding to the intersection point P5' between the spiral line L5 where the fifth characteristic point P5 is located and the groove cross section PL on the cross-sectional profile of the grinding wheel is the fifth corresponding point. At this time, if Q1, Q2 and Q4 are points on the same arc segment, and Q1, Q3 and Q5 are points on another arc segment, the coordinates of Q1, Q2 and Q4 can be used to obtain the center coordinates, contour radius and center angle of the arc segment where these three points are located, and the coordinates of Q1, Q3 and Q5 can be used to obtain the center coordinates, contour radius and center angle of the arc segment where these three points are located.

[0073] S30, constructing the equation of the spiral line where each characteristic point is located according to the structural parameters of the drill bit 1.

[0074] It should be explained that the spiral lines where the constructed characteristic points are located are located on the groove surface of the chip groove 11 and the spiral directions of these spiral lines and the chip groove 11 are consistent.

[0075] S40, obtaining the coordinates of the intersection points formed by the intersection of a groove cross section of the chip removal groove 11 and each spiral line.

[0076] S50, obtaining contour coordinates corresponding to the coordinates of each intersection point on the cross-sectional contour of the grinding wheel according to the offset angle and the intersection coordinates of the grinding wheel 2.

[0077] See also Figure 4 In actual production, when the drill bit 1 is slotted, the normal of the grinding wheel section does not coincide with the normal of the flute section of the chip flute 11, but there is a certain angle, which is called the offset angle. Setting a certain offset angle helps to reduce the impact of loading and unloading and inhibit the wear of the grinding wheel 2. The intersection coordinates are located on the flute section of the chip flute 11, so the coordinates of each point on the grinding wheel cross-section profile corresponding to each intersection can be obtained according to the offset angle of the grinding wheel 2 and the coordinates of each intersection.

[0078] S60, obtaining the center coordinates, profile radius and center angle of the grinding wheel cross-section profile according to the profile coordinates and preset parameters of the grinding wheel cross-section profile.

[0079] The preset parameters of the grinding wheel cross-sectional profile include the opening angle of the straight line segment of the grinding wheel cross-sectional profile. Figure 8 In some embodiments, for Figure 3 The drill needle 1 can be used as Figure 8 The grinding wheel 2 is grooved. The grinding wheel 2 is formed by connecting the first straight line segment, the first arc segment, the second arc segment and the second straight line segment in sequence. Among them, the center position O1, radius R1 and center angle ω1 of the first arc segment, and the center position O2, radius R2 and center angle ω2 of the second arc segment are all unknown quantities to be solved. In order to reduce the grinding amount of the grinding wheel 2 and reduce the production cost, the opening angles of the first straight line segment and the second straight line segment are usually set to fixed values, that is, the angle θ1 of the first opening angle and the angle θ2 of the second opening angle are known quantities. The opening angle is the angle between the straight line segment and the plane perpendicular to the axis of the grinding wheel 2. Therefore, when the coordinates of O1, R1, ω1, the coordinates of O2, R2 and ω2 are obtained, the cross-sectional profile of the grinding wheel 2 can be obtained. Of course, the cross-sectional profile of the grinding wheel 2 is not limited to this. In addition, according to the different drill bits 1 to be processed, the grinding wheel 2 is not limited to the above-mentioned specific structural form. For example, the grinding wheel 2 can also include three or four connected arc segments.

[0080] In the present application, according to the structural parameters of the drill bit 1, the equation of the spiral line at five or more characteristic points formed by the intersection of the chip groove 11 and the blade 12 of the drill bit 1 is constructed, and according to the offset angle of the grinding wheel 2 and the coordinates of the intersection of a groove section of the chip groove 11 and each spiral line, the contour coordinates corresponding to the coordinates of each intersection on the grinding wheel cross-sectional profile are obtained. The center coordinates, contour radius and center angle of each arc segment of the grinding wheel cross-sectional profile can be determined by using the contour coordinates and the preset parameters of the grinding wheel cross-sectional profile, thereby determining the cross-sectional profile of the grinding wheel 2. This method can directly reverse the cross-sectional profile of the grinding wheel 2 that meets the processing requirements according to the structural parameters of the drill bit 1, without repeated experiments and adjustments, which greatly saves manpower and improves the design efficiency of the cross-sectional profile of the grinding wheel 2, and is also conducive to the consistency of the control of the drill bit.

[0081] like Figure 3 As shown, a spatial rectangular coordinate system is established with the drill tip 123 of the drill needle 1 as the origin, the straight line where the projection of the center line 115 on the end surface of the drill needle is located as the X-axis, and the straight line where the axial direction of the drill needle 1 is located as the Z-axis.

[0082] See also Fig.12 In step S30, steps S31-S34 are specifically included.

[0083] S31, according to the core thickness w, radius r, flank angle β, drill point angle α, ground angle γ and the angle λ between the center line 115 and the chisel edge 116 of the drill bit 1, obtain the coordinate value of the characteristic point in the spatial rectangular coordinate system.

[0084] Among them, the coordinate values ​​of the characteristic points on the X-axis and Y-axis can be directly calculated according to the core thickness w, radius r, land angle γ and the angle λ between the center line 115 and the transverse edge 116 of the drill bit 1 when selecting the point; the coordinate value of the characteristic point on the Z-axis can be calculated according to its coordinate values ​​on the X-axis and Y-axis and the back tool angle β of the back tool face where it is located. Taking the drill bit with the first back tool face 121 and the second back tool face 122 as an example, in this drill bit structure, the chip groove 11 of the drill bit 1 and its first back tool face 121 and the second back tool face 122 intersect to form a number of characteristic points, and the drill bit 1 has a first back tool face β1 and a second back tool face β2.

[0085] When the feature point is on the first flank surface 121, its Z-axis coordinate is calculated as follows:

[0086] z i =x i tanα-y i tanβ1 / cosα;

[0087] When the feature point is on the second flank surface 122, its Z-axis coordinate is calculated as follows:

[0088] z i =xi tanα+y i tanβ2 / cosα;

[0089] Among them, x i ,y i and z i are the coordinate values ​​of each feature point on the X-axis and Y-axis, i∈[1,q], q is the number of feature points.

[0090] S32. According to the radial change rate ω of the chip groove axial section and the axial change rate v of the chip groove axial section, the coordinate relationship between each characteristic point and its corresponding point on any chip groove axial section is obtained. Specifically, the coordinate relationship is as follows:

[0091] x=Rcos(ωt+m i ), ①

[0092] y=Rsin(ωt+n i ), ②

[0093] z=vt, ③

[0094] Among them, R is the radius of the spiral line where the corresponding point is located, t is the parameter of the radial rate of change and the axial rate of change, m i and n i are the phases of each feature point on the X-axis and Y-axis respectively, i∈[1,q], q is the number of feature points.

[0095] S33, according to the helix angle, the relationship between the radial change rate ω of the axial section of the chip groove and the axial change rate v of the axial section of the chip groove is obtained. Specifically, the relationship is as follows:

[0096]

[0097] S34, combining the coordinate values ​​and coordinate relationships of each feature point and the relationship between the radial change rate ω of the chip groove axis section and the axial change rate v of the chip groove axis section, construct the equation of the spiral line where each feature point is located. Specifically, the equations ①-④ can be combined to obtain the equation of the spiral line where each feature point is located:

[0098]

[0099] Among them, x, y, and z are the coordinates of the point on the spiral line on the X-axis, Y-axis, and Z-axis respectively, and m i is the phase of the helix on the X axis, n i is the phase of the helix on the Y axis, m i and n i Substituting the coordinate value of the i-th feature point into the spiral equation, i∈[1,q], q is the number of feature points, and the radius R of the spiral where the feature point is located is calculated as follows:

[0100]

[0101] Commonly used drill bits 1 include rigid type and chip removal type. Fig. 9 The drill bit in the drill is a chip removal type. Fig. 9 As shown, in a specific embodiment, the drill needle 1 has a first back cutting edge β1 and a second back cutting edge β2, the chip groove 11 of the drill needle 1 intersects with its first back cutting edge 121 and the second back cutting edge 122 to form a main cutting edge 111 and a back cutting edge 112, and has a first fixed point P1, a second fixed point P2 and a third fixed point P3, and a first moving point P4 and a second moving point P5, the first fixed point P1 and the second fixed point P2 are respectively two end points of the main cutting edge 111, the second fixed point P2 and the third fixed point P3 are respectively two end points of the back cutting edge 112, the first moving point P4 is located at the main cutting edge 111, and the second moving point P5 is located at the back cutting edge 112.

[0102] According to the structural parameters of the drill bit 1, the coordinate values ​​of the first fixed point P1, the second fixed point P2 and the third fixed point P3 in the spatial rectangular coordinate system are respectively:

[0103] P1(w / tanλ,w / 2,wtanα / tanλ-wtanβ1 / 2cosα);

[0104]

[0105] P3 (-rcosγ, rsinγ, -rcosytanα+rsinytanβ2 / cosα).

[0106] The first moving point P4 and the second moving point P5 are respectively the point at x=R / 2 on the main cutting edge 111 and the point at x=0 on the trailing edge 112. Then, the coordinate values ​​of the first moving point P4 and the second moving point P5 in the spatial rectangular coordinate system are respectively:

[0107] P4((r / 2, 0.55w, rtanα / 2-0.55wtanβ1 / cosα);

[0108] P5 (0, 0.55w, 0.55wtanβ2 / cosα).

[0109] See also Fig.10 , the spiral line where P1 is located is L1, the spiral line where P2 is located is L2, the spiral line where P3 is located is L3, the spiral line where P4 is located is L4, and the spiral line where P5 is located is L5.

[0110] The equation for L1 is:

[0111]

[0112] The equation for L2 is:

[0113]

[0114] The equation for L3 is:

[0115]

[0116] The equation for L4 is:

[0117]

[0118]

[0119] The equation for L5 is:

[0120]

[0121] Among them, x, y, z are the coordinates of the points on L1 to L5 on the X-axis, Y-axis and Z-axis respectively, m1 to m5 are the phases of L1 to L5 on the X-axis, n1 to n5 are the phases of L1 to L5 on the Y-axis, m1 to m5 and n1 to n5 are obtained by substituting the coordinate values ​​of P1 to P5 into the spiral equation, and the calculation method of the spiral radius R is:

[0122]

[0123] In step 40, steps S41-S42 are specifically included.

[0124] S41 , obtaining a plane equation of a cross section of the chip removal groove 11 .

[0125] S42, simultaneously solve the plane equation and the spiral line equation where each feature point is located to obtain the intersection coordinates, wherein the construction of the spiral line equation where each feature point is located can refer to steps S31-S34.

[0126] In one embodiment, if Fig.11 As shown, take a slot section PL through z = 0 in the chip groove 11, then the equation of the plane PL is:

[0127]

[0128] By combining the equation of the plane PL and the equation of the spiral where a characteristic point is located, we can obtain the coordinates of the intersection of the two in the definition domain z∈[0,π] (x′ i , y′ i , z′ i ).

[0129] Then the coordinates of the intersection points formed by plane PL with L1~L5 are P1'(x'1, y'1, z'1), P2'(x'2, y'2, z'2), P3'(x'3, y'3, z'3), P4'(x'4, y'4, z'4), P5'(x'5, y'5, z'5).

[0130] Combined with the offset angle θ of the grinding wheel 2 offset The calculation formula of the contour coordinates corresponding to the coordinates of each intersection point can be obtained:

[0131] y′ pi =y′ i

[0132]

[0133]

[0134] Among them, x′ i , y′ i and z′ i are the values ​​of the intersection coordinates on the X-axis, Y-axis, and Z-axis, respectively, x′ pi , y′ pi and z′ pi are the values ​​of the contour coordinates on the X-axis, Y-axis, and Z-axis, respectively, offset is the offset angle of grinding wheel 2, is the helix angle of the drill bit 1, i∈[1,k], k is the number of helical lines, that is, k=q.

[0135] Then the contour coordinates corresponding to the intersection coordinates P1'~P5' are Q1(x' p1 , y′ p1 , z′ p1 ), Q2(x′ p2 , y′ p2 , z′ p2 ), Q3(x′ p3 , y′ p3 , z′ p3 ), Q4(x′ p4 , y′ p4 , z′ p4 ), Q5(x′ p5 , y′ p5 , z′ p5 )

[0136] See also Figures 13 to 17 , in step S60, including steps S61-S64.

[0137] S61. Determine the target perpendicular bisector according to the contour coordinates; the target perpendicular bisector is the perpendicular bisector of the lines connecting the adjacent fixed-point contour coordinates and the moving-point contour coordinates. The contour coordinates include the fixed-point contour coordinates and the moving-point contour coordinates. The fixed-point contour coordinates are determined according to the offset angle of the grinding wheel 2 and the coordinates of the intersection corresponding to the fixed point; the moving-point contour coordinates are determined according to the offset angle of the grinding wheel 2 and the coordinates of the intersection corresponding to the moving point.

[0138] like Fig.15 and 16 As shown, the coordinates of Q1, Q2 and Q3 are fixed-point contour coordinates, and the coordinates of Q4 and Q5 are moving-point contour coordinates, where Q4 is located between Q1 and Q2, and Q5 is located between Q2 and Q3. The perpendicular bisector of the line connecting Q1 and Q4 is the target perpendicular bisector S1, the perpendicular bisector of the line connecting Q2 and Q4 is the target perpendicular bisector S2, the perpendicular bisector of the line connecting Q3 and Q5 is the target perpendicular bisector S3, and the perpendicular bisector of the line connecting Q1 and Q5 is the target perpendicular bisector S4.

[0139] S62, determining the intersection points where the perpendicular midlines of the target between two adjacent fixed-point contour coordinates intersect each other, and obtaining the coordinates of the center of the circle.

[0140] Fig.15 and 16 In the fixed point contour coordinates Q1(x′ p1 , y′ p1 , z′ p1 ) and Q2(x′ p2 , y′ p2 , z′ p2 ) is the target perpendicular bisector between S1 and S2, and the intersection of the two is the center O1 of the first arc segment. The coordinates of the center O1 can be calculated by combining the equations of the target perpendicular bisector S1 and S2. The principle of solving the coordinates of the center O2 is the same as that of the center O1, which will not be repeated here. Among them, the equation of the target perpendicular bisector can be determined according to the equation of the connection line of the adjacent fixed point contour coordinates and the moving point contour coordinates, and the connection line equation can be determined by the fixed point contour coordinates and the moving point contour coordinates.

[0141] S63, obtaining the contour radius of the grinding wheel cross-section contour by calculating the distance between the circle center coordinates and the contour coordinates corresponding to the circle center coordinates.

[0142] Specifically, the contour radius can be obtained by calculating the distance between the center coordinates of the arc segment and any contour coordinates on the arc segment. Fig.15 and 16 The length of the contour radius R1 of the first arc segment is the length of the line segment O1Q2, O1Q1 or O1Q4, and the length of the contour radius R2 of the second arc segment is the length of the line segment O2Q3, O2Q5 or O2Q1.

[0143] It should be understood that there may be multiple moving points between two fixed points, and the center coordinates and contour radius of the corresponding arc segment may also be determined by the multiple moving points.

[0144] S64, determining the center angle of the grinding wheel cross-sectional profile according to the center coordinates, the profile radius, the profile coordinates, and preset parameters of the grinding wheel cross-sectional profile, or determining the center angle of the grinding wheel cross-sectional profile according to the center coordinates, the profile coordinates, and preset parameters of the grinding wheel cross-sectional profile. The preset parameters include an opening angle of a straight line segment of the grinding wheel cross-sectional profile.

[0145] See also Fig.17 In the case where the grinding wheel cross-section profile has two arc segments, the coordinates of the center O1 of the first arc segment, the profile radius R1, and the profile coordinate Q1 (x′ p1 , y′ p1 , z′ p1 ) and Q2(x′ p2 , y′ p2 , z′ p2 ) and the opening angle θ1 of the first straight line segment, determine the center angle ω1 of the grinding wheel cross-sectional profile. Specifically, a plane PO can be determined by the center coordinates of the first arc segment and the two contour coordinates, the equation of the circle where the first arc segment is located in the plane is obtained by the coordinates of the center O1 and the contour radius R1, and the equation of the first straight line segment in the plane is obtained by the opening angle θ1 of the first straight line segment. The intersection of the first straight line segment and the circle can be obtained by combining the two equations. The intersection is an end point of the first arc segment of the grinding wheel cross-sectional profile, and the common contour coordinate Q1 (x′ p1 , y′ p1 , z′ p1 ) is the common endpoint of the first arc segment and the second arc segment. By calculating the angles between the center O1 of the first arc segment and the lines connecting the two endpoints, the center angle ω1 of the first arc segment can be obtained.

[0146] Of course, it is also possible to use the coordinates of the center O1 of the first arc segment and the contour coordinates Q1 (x′ p1 , y′ p1 , z′ p1 ) and Q2(x′ p2 , y′ p2 , z′ p2 ) and the opening angle θ1 of the first straight line segment to determine the center angle of the grinding wheel cross-sectional profile. Specifically, the coordinates of the center O1 and the coordinates of one end point Q1 (x′ p1 , y′ p1 , z′ p1) Determine the angle θ3 between the line segment O1Q1 in the plane PO and the plane perpendicular to the axis of the grinding wheel 2, then the center angle ω1 of the first arc segment = 90°-θ1-θ3; or the coordinates of the center O1 and the coordinates of a point Q2 (x′ p2 , y′ p2 , z′ p2 ) Determine the angle θ4 between the line segment O1Q2 in the plane PO and the plane perpendicular to the axis of the grinding wheel 2, and use the coordinates of the center O1 and the contour coordinates Q1 (x′ p1 , y′ p1 , z′ p1 ) and Q2(x′ p2 , y′ p2 , z′ p2 ) to obtain the value of ∠Q1O1Q2, then ω1=90°-θ1-θ4+∠Q1O1Q2.

[0147] In addition to the above calculation method, the central angle can also be obtained by other calculation methods, which will not be listed here one by one. The principle of solving the central angle ω2 of the second arc segment is the same as that of the central angle ω1 of the first arc segment, which will not be repeated here.

[0148] Here is a calculation example:

[0149] In this embodiment, the structural parameters of the drill bit 1 are given as follows:

[0150]

[0151] Given that the θ1 and θ2 of grinding wheel 2 are 25° and 35° respectively, the offset angle θ offset is 10°.

[0152] According to the structural parameters of the drill bit 1, the points are obtained: P1 (0.037, 0.04), P2 (0.092, 0.04), and P3 (-0.005, 0.0866).

[0153] Select the conventional chip removal model, the preset value is 0.55w, the main cutting edge 111 is parallel to the X-axis, and the points are: P4 (0.05, 0.04), P5 (0, 0.044).

[0154] According to the structural parameters of the drill bit 1 and the offset angle θ offset The coordinate values ​​of P1 to P5 are used to calculate that the radius R1 and the center angle ω1 of the first arc segment are 0.08 mm and 31° respectively, and the radius R2 and the center angle ω2 of the second arc segment are 0.1 mm and 76.8° respectively.

[0155] The present application also discloses a computer-readable storage medium storing a computer program. When the computer program is executed, the above-mentioned method for designing the drill bit slot sand profile can be implemented.

[0156] The above disclosure is only a preferred example of the present application and cannot be used to limit the scope of rights of the present application. Therefore, equivalent changes made according to the claims of the present application are all within the scope covered by the present application.

Claims

1. A method for designing a drill bit slot sand profile, characterized in that: include: Acquiring structural parameters of the drill bit; Acquire five or more characteristic points formed by the intersection of the chip groove and the tool face of the drill bit; According to the structural parameters of the drill bit, construct the equation of the spiral line where each characteristic point is located; Obtaining the coordinates of the intersection points formed by the intersection of a groove cross section of the chip removal groove and each of the spiral lines; Obtaining contour coordinates corresponding to the coordinates of the intersection points on the cross-sectional contour of the grinding wheel according to the offset angle of the grinding wheel and the coordinates of the intersection points; According to the contour coordinates and preset parameters of the grinding wheel cross-sectional profile, the center coordinates, contour radius and center angle of the grinding wheel cross-sectional profile are obtained.

2. The method for designing the profile of a drill bit slotted sand as claimed in claim 1, characterized in that: The chip groove intersects with the tool face to form a plurality of line segments, and the characteristic points include fixed points and moving points. The fixed points are the endpoints of the line segments, and each line segment has a moving point, which is at least one point on the line segment except the endpoints.

3. The method for designing the profile of a drill bit slotted sand as claimed in claim 1, characterized in that: The structural parameters of the drill bit include: radius r, core thickness w, helix angle Flank angle β, drill point angle α, ground angle γ, angle λ between chisel edge and center line, radial variation rate ω of the axial section of the chip groove, and axial variation rate v of the axial section of the chip groove; The step of constructing the equation of the spiral line where each characteristic point is located according to the structural parameters of the drill bit comprises: According to the core thickness w, radius r, flank angle β, drill point angle α, ground angle γ and angle λ between the chisel edge and the center line of the drill needle, the coordinate value of the characteristic point in the spatial rectangular coordinate system is obtained; According to the radial change rate ω of the axial cross section of the chip groove and the axial change rate v of the axial cross section of the chip groove, the coordinate relationship between each of the characteristic points and its corresponding point on any of the axial cross sections of the chip groove is obtained; According to the helix angle and radius r, to obtain the relationship between the radial change rate ω of the axial section of the chip groove and the axial change rate v of the axial section of the chip groove; The equation of the spiral line where each of the characteristic points is located is constructed by combining the coordinate values ​​of each of the characteristic points, the coordinate relationship, and the relationship between the radial change rate ω of the axial section of the chip groove and the axial change rate v of the axial section of the chip groove.

4. The method for designing the profile of a drill bit slotted sand as claimed in claim 3, characterized in that: The spatial rectangular coordinate system is established with the drill tip of the drill needle as the origin, the straight line where the projection of the center line on the end face of the drill needle is located as the X-axis, and the straight line where the axis of the drill needle is located as the Z-axis; The equation of the spiral line where the characteristic point is located is: Where R is the radius of the spiral line where the feature point is located, Where x, y, and z are the coordinates of the point on the spiral line on the X-axis, Y-axis, and Z-axis respectively, and m i is the phase of the helix on the X axis, n i is the phase of the helix on the Y axis, m i and n i Substituting the coordinate value of the i-th feature point into the spiral equation, i∈[1,q], q is the number of feature points.

5. The method for designing the profile of a drill bit slotted sand as claimed in claim 1, characterized in that: The step of obtaining the coordinates of the intersection points formed by the intersection of a groove section of the chip removal groove and each of the spiral lines comprises: Obtaining a plane equation of a groove cross section of the chip groove; The plane equation and the spiral line equation where each of the feature points is located are combined to obtain the coordinates of the intersection point.

6. The method for designing the profile of a drill bit slotted sand as claimed in claim 5, characterized in that: A spatial rectangular coordinate system is established with the drill tip of the drill needle as the origin, the straight line where the projection of the center line on the end face of the drill needle is located as the X-axis, and the straight line where the axis of the drill needle is located as the Z-axis; The plane equation is: The calculation formula of the contour coordinates is: and p ′ i =and i ′ Among them, x i ′ ,y i ′ and z i ′ are the values ​​of the intersection coordinates on the X-axis, Y-axis and Z-axis respectively, ′ pi ,y p ′ i and z p ′ i are the values ​​of the contour coordinates on the X-axis, Y-axis and Z-axis respectively, θ offset is the offset angle of the grinding wheel, is the helix angle of the drill bit, i∈[1,k], and k is the number of the helix lines.

7. The method for designing the profile of a drill bit slotted sand as claimed in claim 2, characterized in that: The contour coordinates include fixed-point contour coordinates and moving-point contour coordinates, wherein the fixed-point contour coordinates are determined according to the offset angle of the grinding wheel and the coordinates of the intersection corresponding to the fixed point; the moving-point contour coordinates are determined according to the offset angle of the grinding wheel and the coordinates of the intersection corresponding to the moving point; The method of obtaining the center coordinates, the profile radius and the center angle of the grinding wheel cross-sectional profile according to the profile coordinates and the preset parameters of the grinding wheel cross-sectional profile comprises: Determine the target perpendicular midline according to the contour coordinates; The target perpendicular bisector is the perpendicular bisector of the lines connecting the adjacent fixed-point contour coordinates and the moving-point contour coordinates; Determine the intersection points where the perpendicular midlines of the target between two adjacent fixed-point contour coordinates intersect each other, and obtain the coordinates of the center of the circle; The contour radius of the cross-sectional contour of the grinding wheel is obtained by calculating the distance between the center coordinates and the contour coordinates corresponding to the center coordinates; The center angle of the grinding wheel cross-sectional profile is determined according to the center coordinates, the profile radius, the profile coordinates and the preset parameters of the grinding wheel cross-sectional profile, or the center angle of the grinding wheel cross-sectional profile is determined according to the center coordinates, the profile coordinates and the preset parameters of the grinding wheel cross-sectional profile.

8. The method for designing the profile of a drill bit slotted sand as claimed in claim 7, characterized in that: The preset parameters include an opening angle of a straight line segment of the grinding wheel cross-sectional profile.

9. The method for designing the profile of a drill bit slotted sand as claimed in claim 2, characterized in that: The chip groove and the blade face intersect to form a main cutting edge and a rear edge, the main cutting edge and the rear edge intersect to form three fixed points, and the main cutting edge and the rear edge respectively form the moving points.

10. A computer-readable storage medium storing a computer program, characterized in that: When the computer program is executed, the method for designing the drill bit slot sand profile according to any one of claims 1 to 9 can be implemented.

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