Methods, apparatus, and equipment for profile design of forming grinding wheels for single-flute micro drills

Abstract

This invention provides a method, apparatus, and equipment for designing the profile of a forming grinding wheel for a single-flute micro-drill, relating to the technical field of micro-drill bit processing equipment. The profile design method includes steps S1 to S4. S1: Establish the mathematical equation for the end face curve of the single-flute micro-drill. S2: Obtain the mathematical equation for the spiral groove of the single-flute micro-drill by spiraling the end face curve along the axial direction. S3: Based on the meshing relationship between the forming grinding wheel and the spiral groove and the mathematical equation for the spiral groove, obtain the meshing curve formed by the forming grinding wheel and the spiral groove in space. S4: Solve the meshing curve, and perform coordinate operations to reduce the dimension and perform circular arc fitting on the solution to obtain the final profile of the forming grinding wheel. This method can achieve parametric solution of the forming grinding wheel profile, guiding the shaping work of the forming grinding wheel, thereby improving the problems of low efficiency and large error in manual grinding of forming grinding wheels, and improving the development and production efficiency of new products.

Description

Technical Field

[0001] This invention relates to the field of micro drill bit processing equipment technology, and more specifically, to a method, apparatus, and equipment for designing the profile of a forming grinding wheel for a single-edged micro drill. Background Technology

[0002] Printed circuit boards (PCBs) are the core basic components of electronic products. Micro-drilling is a key process in PCB manufacturing, and the drilling accuracy has a significant impact on subsequent processes such as copper plating, thus determining the signal transmission quality of the circuit board.

[0003] As micro-drills develop towards higher aspect ratios, such as those exceeding 20:1, the problem of insufficient drill body stiffness has become increasingly prominent. To address this, single-flute micro-drills have been developed to improve drill body stiffness, enhance chip removal performance, and reduce the risk of drill bit breakage, demonstrating significant advantages, especially in small-diameter applications.

[0004] In the manufacturing process of single-edged micro drills, the machining of the helical groove is a crucial step. Currently, some companies use manual regrinding to trial-machine the shaped grinding wheel. This method relies on the operator's experience, repeatedly testing and adjusting the grinding wheel profile until a suitable helical groove for the micro drill is produced. Manual regrinding, as a traditional process, is still widely used in environments lacking advanced equipment, but the process mainly depends on manual judgment and adjustment.

[0005] This manual method of dressing and shaping grinding wheels has significant drawbacks. First, the lack of scientific theoretical guidance in the production process leads to low dressing efficiency and poor consistency. Second, the absence of standardized procedures results in insufficient product stability and a tendency for quality fluctuations. Furthermore, errors introduced by manual operation affect the precision of the cutting edge, and the single cutting edge of a single-flute micro-drill requires extremely high manufacturing precision, thus hindering improvements in production efficiency and product reliability. Summary of the Invention

[0006] The present invention provides a method, apparatus and equipment for profile design of a forming grinding wheel for a single-edged micro drill, in order to improve at least one of the above-mentioned technical problems.

[0007] In a first aspect, the present invention provides a method for designing the profile of a forming grinding wheel for a single-edged micro drill, comprising steps S1 to S4.

[0008] S1. Establish the mathematical equation for the end face curve of the single-edged micro drill.

[0009] S2. The mathematical equation for the spiral groove of the single-edged micro-drill is obtained by the spiral motion of the end face curve along the axial direction.

[0010] S3. Based on the meshing relationship between the forming grinding wheel and the spiral groove and the mathematical equation of the spiral groove, obtain the meshing curve formed by the forming grinding wheel and the spiral groove in space.

[0011] S4. Solve the meshing curve, and perform coordinate operations to reduce the dimension and perform circular arc fitting on the solution to obtain the final profile of the forming grinding wheel.

[0012] As a further aspect of the present invention, the end face curve of the single-flute micro-drill consists of two parts: the drill bit curve and the groove back curve. The spiral groove should be smooth and even, so the two are tangent at the drill core circle.

[0013] The mathematical equation for the drill bit curve is:

[0014] .

[0015] In the formula, and Let x and y be the x and y coordinates of the curve equation. The radius of the end face core drilling circle is given. These are the parameter variables in the mathematical equation of the drill bit curve. Let be the radius of the outer circle. To drill sharp corners. It is the helix angle.

[0016] The mathematical equation for the drill bit curve is about The parametric equations. The range of values ​​is .

[0017] As a further aspect of the present invention, the groove back curve is defined using a circular arc.

[0018] The mathematical equation for the back groove curve is:

[0019] .

[0020] .

[0021] In the formula, Let be the radius of the back arc of the trench. These are the parameter variables in the mathematical equation of the gully back curve. Design parameters for the back arc of the groove.

[0022] The groove back arc curve is about The parametric equations.

[0023] The range of values ​​is .

[0024] As a further aspect of the present invention, the mathematical equation for the spiral groove of the single-edged micro-drill is obtained by the spiral motion of the end face curve along the axial direction, specifically as follows:

[0025] Based on the property that the common normal formed by any point of contact between the spiral groove and the outer surface of the grinding wheel during the machining of spiral grooves is always intersected with the axis of the grinding wheel, the mathematical equation of the spiral groove of the single-edged micro-drill is obtained by making the end face curve spiral along the axis.

[0026] As a further aspect of the present invention, based on the meshing relationship between the forming grinding wheel and the spiral groove and the mathematical equation of the spiral groove, the meshing curve formed by the forming grinding wheel and the spiral groove in space is obtained, specifically including:

[0027] The axis equation of the grinding wheel is obtained based on the relative positional relationship between the shaped grinding wheel and the single-edged micro drill in space.

[0028] Based on the mathematical equation of the spiral groove, and through relevant knowledge of analytic geometry, the equations of the normals at each point on the spiral groove surface are obtained.

[0029] By combining the normal equation and the axis equation, the meshing equation of the forming grinding wheel and the spiral groove can be obtained.

[0030] As a further aspect of the present invention, the meshing curve is solved, and the solution is subjected to coordinate calculations for dimensionality reduction and circular arc fitting to obtain the final profile of the forming grinding wheel, specifically as follows:

[0031] The meshing equation is a binary implicit transcendental equation, and the numerical solution of the equation is obtained by using the fsolve operator encapsulated in Matlab.

[0032] When the equation has a solution, the set of solutions represents the coordinates of a point on the meshing curve between the grinding wheel and the spiral groove. The meshing curve wraps around the surface of the shaped grinding wheel, and the two-dimensional axial profile of the shaped grinding wheel can be obtained through coordinate operations to reduce its dimension. This profile is composed of discrete points.

[0033] Based on the preset number of segments, segmentation points are set at the locations where the curvature changes most on the left and right sides of the profile coordinate points of the forming grinding wheel, and segmented profiles are obtained.

[0034] After segmentation, the "minimum average error method for uniquely determining the arc at three points" is used to fit the arc and obtain the final profile of the forming grinding wheel.

[0035] As a further aspect of the present invention, segmentation points are set at the locations of maximum curvature changes at the profile coordinate points on both the left and right sides of the forming grinding wheel, specifically including:

[0036] The process iterates through the discrete points of the profile and calculates the curvature of each intermediate discrete point. In the first iteration, all discrete points of the two-dimensional axial profile are used as input, while subsequent iterations use the discrete points of the segmented profile as input.

[0037] The first discrete point, the discrete point with the largest curvature, and the last discrete point are selected as segmentation points to divide the data into segments and obtain the segmented profile.

[0038] As a further aspect of the present invention, after segmentation, the "minimum average error method for uniquely determining the arc at three points" is used to achieve arc fitting and obtain the final profile of the forming grinding wheel, specifically including:

[0039] For the piecewise profile of the input Each discrete point determines the first and last discrete points.

[0040] Find the 2nd to the 3rd respectively -1 is the average error between the first and last discrete points. The average error is the sum of the differences between the distances from all discrete points to the center of the circle and the radius of the circle.

[0041] The segmented circular arc is determined by selecting the discrete point with the smallest average error and the first and last discrete points.

[0042] The axial profile of the forming grinding wheel is fitted based on the segmented circular arcs of each segmented profile to obtain the final profile.

[0043] Secondly, the present invention provides a profile design device for a forming grinding wheel of a single-edged micro-drill, which is suitable for performing a profile design method for a forming grinding wheel of a single-edged micro-drill as described in any paragraph of the first aspect.

[0044] The profile design device includes:

[0045] The end face equation module is used to establish the mathematical equation for the end face curve of a single-edged micro drill.

[0046] The spiral groove module is used to obtain the mathematical equation of the spiral groove for a single-edged micro-drill by making the end face curve spirally move along the axial direction.

[0047] The meshing curve module is used to obtain the meshing curve formed by the forming grinding wheel and the spiral groove in space based on the meshing relationship between the forming grinding wheel and the spiral groove and the mathematical equation of the spiral groove.

[0048] The final profile module is used to solve the meshing curve and perform coordinate operations to reduce the dimension and perform circular arc fitting on the solution to obtain the final profile of the forming grinding wheel.

[0049] Thirdly, the present invention provides a profile design device for a forming grinding wheel of a single-edged micro-drill, comprising a processor and a memory, and a computer program stored in the memory. The computer program can be executed by the processor to implement a profile design method for a forming grinding wheel of a single-edged micro-drill as described in any paragraph of the first aspect.

[0050] By adopting the above technical solution, the present invention can achieve the following technical effects:

[0051] A mathematical equation for the end face curve of a single-flute micro-drill is established to achieve a parameterized definition of the spiral groove shape. A mathematical model for solving the profile of the forming grinding wheel is established by utilizing the meshing relationship between the forming grinding wheel and the spiral groove during machining.

[0052] This method enables the parametric solution of the profile of the forming sand, guiding the dressing work of the forming grinding wheel, thereby improving the problems of low efficiency and large error in manual dressing of forming grinding wheels, and improving the development and production efficiency of new products. Attached Figure Description

[0053] To more clearly illustrate the technical solution of the present invention, the accompanying drawings used in the specific embodiments of the present invention will be briefly introduced below. It should be understood that the following drawings only show some specific embodiments of the present invention and should not be regarded as a limitation on the scope. For those skilled in the art, other related drawings can be obtained based on these drawings without creative effort.

[0054] Figure 1 This is a schematic diagram of a typical cutting edge structure for a single-edged micro drill.

[0055] Figure 2 This is a schematic diagram illustrating the solution of the drill bit curve for a single-edged micro-drill.

[0056] Figure 3 This is a schematic diagram for solving the back groove curve of a single-edged micro-drill.

[0057] Figure 4 This is a schematic diagram of the rectangular coordinate system of the grinding wheel and spiral groove.

[0058] Figure 5 A flowchart illustrating the profile design method for the forming grinding wheel of a single-edged micro-drill.

[0059] Figure 6 This is a schematic diagram of the surface curve of a single-edged micro-drill tip.

[0060] Figure 7 The corresponding molding sand profile (unfitted) is obtained for the single-edged micro drill.

[0061] Figure 8 for Figure 7 A magnified view of a portion of the image.

[0062] Figure 9 Flowchart of an automatic segmentation algorithm for the discrete point set of the axial profile of a forming grinding wheel.

[0063] Figure 10 The flowchart shows the algorithm for fitting the discrete point set of the axial profile of the forming grinding wheel to the arc.

[0064] Figure 11This is a schematic diagram of the axial profile arc fitting of the forming grinding wheel. Detailed Implementation

[0065] The technical solutions of the present invention will now be clearly and completely described with reference to the accompanying drawings in the embodiments of the present invention.

[0066] Example 1: This invention provides a method for designing the profile of a forming grinding wheel for a single-flute micro-drill, which can be executed by a profile design device for a forming grinding wheel of a single-flute micro-drill (hereinafter referred to as: profile design device). Specifically, it is executed by one or more processors in the profile design device to implement steps S1 to S4.

[0067] S1. Establish the mathematical equation for the end face curve of the single-edged micro drill.

[0068] Figure 1 This is a schematic diagram of a typical cutting edge structure of the single-edged micro drill (a typical single-edged micro drill for PCB machining) of the present invention. Figure 2 This is a flowchart illustrating the profile design method for the forming wheel of the single-flute micro-drill of the present invention. Since the end face shape can intuitively reflect the groove shape of the micro-drill's spiral groove, the mathematical equation for the end face curve of the single-flute micro-drill is first established starting from the end face of the single-flute micro-drill.

[0069] The end face curve of a single-flute micro drill consists of two parts: the drill bit curve and the back groove curve. The spiral groove should be smooth and even, so the two are tangent at the drill core circle. Figure 3 This is a schematic diagram of the end face curve of the single-edged micro drill of the present invention.

[0070] The geometric parameters of the mathematical equation for the end face curve include at least the outer circle radius. End face core drill circle radius helix angle Drilling sharp corners The central angle A1 corresponding to the large blade and the central angle A2 corresponding to the small blade.

[0071] The mathematical equation for the drill bit curve is:

[0072] .

[0073] In the formula, and Let x and y be the x and y coordinates of the curve equation. These are the parameter variables in the mathematical equation of the drill bit curve.

[0074] The mathematical equation for the drill bit curve is about The parametric equations. The range of values ​​is .

[0075] The back groove curve is defined using a circular arc.

[0076] The mathematical equation for the back groove curve is:

[0077] .

[0078] .

[0079] In the formula, Let be the radius of the back arc of the trench. These are the parameter variables in the mathematical equation of the gully back curve. Design parameters for the back arc of the groove.

[0080] The groove back arc curve is about The parametric equations.

[0081] The range of values ​​is .

[0082] It can be calculated from the central angles A1 and A2.

[0083] Figure 2 duped Move to B', at this time By taking the maximum value, we can obtain the coordinates of B', which in turn allows us to determine the size of ∠B'OY. Let Ag be the central angle corresponding to the spiral groove.

[0084] Then Ag = (360° - A1 - A2) / 2.

[0085] but =Ag+∠B'OY.

[0086] In the formula These are the parameters for the groove back arc curve. Ag is the central angle corresponding to the spiral groove. B' is the endpoint of the drill bit curve. O is the origin. Y represents the Y-axis. A1 is the central angle corresponding to the large cutting edge. A2 is the central angle corresponding to the small cutting edge.

[0087] Let be a moving point on the normal to any point on the spiral groove surface. for Point B is the point corresponding to the drill bit curve. Point B is the endpoint on the normal line of any point on the spiral groove surface.

[0088] S2. Based on the property that the common normal formed by any point of contact between the spiral groove and the outer surface of the grinding wheel during the machining of the spiral groove of the forming grinding wheel must intersect with the axis of the grinding wheel, the mathematical equation of the spiral groove of the single-edged micro-drill is obtained by making the end face curve spiral along the axis.

[0089] Specifically, after establishing the mathematical equation for the end face curve of a single-edged micro-drill, an important property of the forming grinding wheel during the machining of the spiral groove is utilized to solve the profile of the grinding wheel: the common normal formed by any point where the spiral groove contacts the outer surface of the grinding wheel must intersect with the axis of the grinding wheel.

[0090] While rotating the end face curve at a constant speed around the Z-axis, it also moves at a constant speed along the positive Z-axis direction, i.e., it undergoes helical motion (right-handed). If the lead is... The rotation angle is Then the ratio constant of translational velocity and rotational angular velocity is equal to That is, when the end face curve turns The distance moved along the Z-axis at the same angle is .

[0091] Therefore, the equation of the spiral groove surface can be expressed as: .

[0092] In the formula and are the three-dimensional coordinates of a point on the spiral groove surface, respectively. These are the horizontal and vertical coordinate functions of the mathematical equation of the end face curve, respectively. These are the parameter variables in the mathematical equation of the end face curve.

[0093] S3. Based on the meshing relationship between the forming grinding wheel and the spiral groove and the mathematical equation of the spiral groove, obtain the meshing curve formed by the forming grinding wheel and the spiral groove in space.

[0094] Preferably, step S3 specifically includes steps S31 to S33.

[0095] S31. Obtain the axis equation of the grinding wheel based on the relative positional relationship between the shaped grinding wheel and the single-edged micro drill in space.

[0096] like Figure 4 The coordinate system of the single-edge micro drill along Move in the positive direction of the axis To the center point of the sand outline, and around Rotate the axis counterclockwise Angle to face and grinding wheel end face (i.e. The planes are located on the same plane, thus obtaining the rectangular coordinate system of the grinding wheel space. ,like Figure 3 As shown.

[0097] Dot at Coordinates in a coordinate system can be represented as Then the equation of the grinding wheel axis is In a coordinate system, it can be represented as:

[0098] .

[0099] In the formula This represents the offset of the center point of the grinding wheel profile along the X-axis in the single-edge micro-drill coordinate system. The angle at which the grinding wheel axis rotates counterclockwise around the X-axis relative to the coordinate system of the single-edged micro-drill is denoted as . Let X be the X-axis of the rectangular coordinate system in the space of the grinding wheel. Y is the Y-axis of the rectangular coordinate system in the space of the grinding wheel. Z is the Z-axis of the rectangular coordinate system in the space of the grinding wheel.

[0100] S32. Based on the mathematical equation of the spiral groove, and through relevant knowledge of analytic geometry, obtain the equation of the normal line at each point on the spiral groove surface.

[0101] Assume the coordinates of any point on the spiral groove surface are A moving point exists on the normal of that point. Then the equation of the normal can be expressed as: .

[0102] In the formula Let be the coordinates of any point on the spiral groove surface. A moving point on the normal of any point The coordinates. For the guide. These are the parameter variables in the mathematical equation of the end face curve. It represents the differential.

[0103] S33. By combining the normal equation and the axis equation, the meshing equation of the forming grinding wheel and the spiral groove is obtained.

[0104] .

[0105] S4. Solve the meshing curve, and perform coordinate calculations to reduce the dimension and perform circular arc fitting on the solution to obtain the final profile of the forming grinding wheel.

[0106] Preferably, step S4 includes steps S41 to S44.

[0107] S41. The meshing equation is a binary implicit transcendental equation, which cannot be solved analytically by human intervention. Therefore, this invention uses the fsolve operator encapsulated in Matlab to solve the numerical solution of this equation.

[0108] S42. When the equation has a solution, the set of solutions represents the coordinates of a point on the meshing curve of the grinding wheel and the spiral groove. The meshing curve wraps around the surface of the shaped grinding wheel, and the two-dimensional axial profile of the shaped grinding wheel can be obtained through coordinate operations to reduce its dimension. The profile is composed of discrete points.

[0109] Three-dimensional points in the grinding wheel coordinate system Transform into points on a two-dimensional plane The operation is as follows.

[0110] The micro-drill coordinate system has been determined. Lower contact line coordinate set Transformed into the grinding wheel coordinate system through coordinate system transformation. coordinates below .

[0111] .

[0112] Therefore, the expression for the contact line in the grinding wheel coordinate system is: .

[0113] The grinding wheel is for winding The rotating body formed by the shaft rotation has a geometrically symmetrical shape about the circumferential angle. Therefore, when determining the axial profile (profile) of the grinding wheel, only the radial distance from each point to the shaft of rotation and the corresponding axial coordinates need to be considered, and the circumferential angle is irrelevant. For this purpose, a rectangular coordinate system is used... Convert to cylindrical coordinates In the formula, Radial distance, It is the circumferential angle.

[0114] .

[0115] Due to the rotational symmetry of the grinding wheel, the profile and circumferential angle It is irrelevant and can therefore be ignored when describing the cross-section. Only retain These two quantities are denoted as plane coordinates. :

[0116] .

[0117] Thus, the original three-dimensional space curve The coordinates are mapped to a two-dimensional plane curve through the above coordinate operations.

[0118] This is the profile equation of the grinding wheel on the axial cutting plane.

[0119] This step actually involves first transforming rectangular coordinates to cylindrical coordinates, and then eliminating the circumferential angle variable by utilizing rotational symmetry, thereby achieving "dimensionality reduction through coordinate operations" from three dimensions to two dimensions.

[0120] Specifically, the meshing curve is wrapped around the surface of the forming grinding wheel. After solving for the meshing curve, the axial profile of the forming grinding wheel is obtained by coordinate calculation to reduce the dimension. Figure 4The diagram shows the profile of the forming sand obtained by solving a single-edged micro-drill (unfitted). Figure 5 for Figure 4 The enlarged view shows that the profile is composed of discrete points, so it is necessary to automatically segment the coordinate point set and perform arc fitting.

[0121] S43. Based on the preset number of segments, set segmentation points at the locations where the curvature changes most on the left and right sides of the profile coordinate points of the forming grinding wheel, and obtain the segmented profile.

[0122] Preferred, such as Figure 6 The step S43 shown includes steps S431 to S433.

[0123] S431. Traverse the discrete points of the profile (assuming the number of discrete points is...) Serial number is ), calculate the curvature of each discrete point in the middle. The first traversal uses all discrete points of the two-dimensional axial profile as input, while subsequent traversals use discrete points of the segmented profile as input.

[0124] Suppose there are three discrete points on the plane, namely... , , Forming a triangle, the three sides correspond to... , , Construct the circumcircle of the triangle (let the center be ). ).connect , and . vertical At Point. Triangle area It can be represented as:

[0125] .

[0126] set up Let be the radius of the circumcircle. Multiply both sides of the equation by 4. We can obtain:

[0127] .

[0128] According to geometric theorems, the inscribed angle corresponding to the same arc (or equal arcs) is half the central angle, therefore it can be converted to... And because ,so .

[0129] The curvature of the circumcircle of the triangle determined by the three points. It can be represented as:

[0130] .

[0131] S432. Select the first discrete point, the discrete point with the largest curvature, and the last discrete point as segmentation points to segment the data and obtain the segmented profile.

[0132] S44. After segmentation, the "minimum average error method for uniquely determining the arc by three points" is used to fit the arc and obtain the final profile of the forming grinding wheel. Among them, the "three points" are all contained in the discrete point set of the segmented profile. Two of the points represent the beginning and end points of the fitted arc, and the remaining point is the point to be fitted, which is obtained by solving the minimum average error method of fitting.

[0133] Figure 7 The flowchart shows the circular arc fitting algorithm for the discrete point set of the axial profile of the forming grinding wheel. The fitting algorithm includes steps S441 to S444.

[0134] S441, For the segmented profile of the input Each discrete point determines the first and last discrete points.

[0135] S442, calculate the values ​​from the 2nd to the 3rd respectively. -1 is the average error between the first and last discrete points. The average error is the sum of the differences between the distances from all discrete points to the center of the circle and the radius of the circle.

[0136] S443. Select the discrete point with the smallest average error and the first and last discrete points to determine the segmented circular arc.

[0137] S444. Fit the axial profile of the forming grinding wheel according to the segmented circular arcs of each segmented profile to obtain the final profile.

[0138] Specifically, iteratively calculating from the 2nd to the (N-1th)th point, we find the point that minimizes the fitting error (the sum of the differences between the distances from all discrete points to the center and the radius of the circle). This point, along with the first and last points, uniquely determines an arc. For example... Figure 8 This is a schematic diagram showing the results of fitting the axial profile of the forming grinding wheel using four circular arcs according to the above method.

[0139] This invention discloses a method for designing the profile of a forming grinding wheel for a single-flute micro-drill. By establishing a mathematical equation for the end face curve of the single-flute micro-drill, the parametric definition of the spiral groove shape of the single-flute micro-drill is achieved. Utilizing the meshing relationship between the forming grinding wheel and the spiral groove during processing, a mathematical model for solving the profile of the forming grinding wheel is established. This method enables parametric solving of the profile of the forming grinding wheel, guiding the shaping work of the forming grinding wheel, thereby improving the low efficiency and large error of manual grinding of forming grinding wheels, and enhancing the development and production efficiency of new products.

[0140] Example 2: This invention provides a profile design device for a forming grinding wheel of a single-flute micro-drill, suitable for performing the profile design method for a forming grinding wheel of a single-flute micro-drill as described in any paragraph of Example 1. The profile design device includes an end face equation module, a helical groove module, a meshing curve module, and a final profile module.

[0141] The end face equation module is used to establish the mathematical equation for the end face curve of a single-edged micro drill.

[0142] The spiral groove module is used to obtain the mathematical equation of the spiral groove for a single-edged micro-drill by making the end face curve spirally move along the axial direction.

[0143] The meshing curve module is used to obtain the meshing curve formed by the forming grinding wheel and the spiral groove in space based on the meshing relationship between the forming grinding wheel and the spiral groove and the mathematical equation of the spiral groove.

[0144] The final profile module is used to solve the meshing curve and perform coordinate operations to reduce the dimension and perform circular arc fitting on the solution to obtain the final profile of the forming grinding wheel.

[0145] Example 3: This invention provides a profile design device for a forming grinding wheel of a single-flute micro-drill, comprising a processor and a memory, and a computer program stored in the memory. The computer program can be executed by the processor to implement a profile design method for a forming grinding wheel of a single-flute micro-drill as described in any paragraph of Example 1.

[0146] It is understood that the profile design device can be an electronic device with computing power, such as a portable laptop computer, desktop computer, server, smartphone, or tablet computer.

[0147] Obviously, the embodiments described above are only some embodiments of the present invention, and not all embodiments. All other embodiments obtained by those skilled in the art based on the embodiments of the present invention without inventive effort are within the scope of protection of the present invention.

[0148] In the several embodiments provided in this invention, it should be understood that the disclosed apparatus and methods can also be implemented in other ways. The apparatus and method embodiments described above are merely illustrative. For example, the flowcharts and block diagrams in the accompanying drawings illustrate the architecture, functionality, and operation of possible implementations of apparatus, methods, and computer program products according to various embodiments of the present invention. In this regard, each block in a flowchart or block diagram may represent a module, segment, or portion of code containing one or more executable instructions for implementing a specified logical function. It should also be noted that in some alternative implementations, the functions marked in the blocks may occur in a different order than those marked in the drawings. For example, two consecutive blocks may actually be executed substantially in parallel, and they may sometimes be executed in reverse order, depending on the functions involved. It should also be noted that each block in a block diagram and / or flowchart, and combinations of blocks in block diagrams and / or flowcharts, can be implemented using a dedicated hardware-based system that performs the specified function or action, or using a combination of dedicated hardware and computer instructions.

[0149] In addition, the functional modules in the various embodiments of the present invention can be integrated together to form an independent part, or each module can exist independently, or two or more modules can be integrated to form an independent part.

[0150] If the aforementioned functions are implemented as software functional modules and sold or used as independent products, they can be stored in a computer-readable storage medium. Based on this understanding, the technical solution of the present invention, or the part that contributes to the prior art, or a part of the technical solution, can be embodied in the form of a software product. This computer software product is stored in a storage medium and includes several instructions to cause a computer device (which may be a personal computer, electronic device, or network device, etc.) to execute all or part of the steps of the methods described in the various embodiments of the present invention. The aforementioned storage medium includes various media capable of storing program code, such as USB flash drives, portable hard drives, read-only memory, random access memory, magnetic disks, or optical disks. It should be noted that, in this document, the terms "comprising," "including," or any other variations thereof are intended to cover non-exclusive inclusion, such that a process, method, article, or apparatus that comprises a list of elements includes not only those elements but also other elements not expressly listed, or elements inherent to such a process, method, article, or apparatus. Without further limitations, an element defined by the phrase "comprising one..." does not exclude the presence of other identical elements in the process, method, article, or apparatus that includes said element.

[0151] The terminology used in the embodiments of this invention is for the purpose of describing particular embodiments only and is not intended to limit the invention. The singular forms “a,” “the,” and “the” used in the embodiments of this invention are also intended to include the plural forms unless the context clearly indicates otherwise.

[0152] It should be understood that the term "and / or" used in this article is merely a description of the relationship between related objects, indicating that three relationships can exist. For example, A and / or B can represent: A existing alone, A and B existing simultaneously, and B existing alone. Additionally, the character " / " in this article generally indicates that the preceding and following related objects have an "or" relationship.

[0153] Depending on the context, the word "if" as used here can be interpreted as "when," "when," "in response to determination," or "in response to detection." Similarly, depending on the context, the phrase "if determination" or "if detection (of the stated condition or event)" can be interpreted as "when determination," "in response to determination," "when detection (of the stated condition or event)," or "in response to detection (of the stated condition or event)."

[0154] The terms "first" and "second" used in the embodiments are merely to distinguish similar objects and do not represent a specific ordering of objects. It is understood that "first" and "second" can be interchanged in a specific order or sequence where permitted. It should be understood that the objects distinguished by "first" and "second" can be interchanged where appropriate so that the embodiments described herein can be implemented in an order other than those illustrated or described herein.

[0155] The above description is merely a preferred embodiment of the present invention and is not intended to limit the invention. Various modifications and variations can be made to the present invention by those skilled in the art. Any modifications, equivalent substitutions, improvements, etc., made within the spirit and principles of the present invention should be included within the scope of protection of the present invention.

Claims

1. A method of profiling a forming wheel for single-point micro drills, characterized by, Comprise: The end surface curve mathematical equation of the single-blade micro drill is established; The end surface curve is made spiral motion along the axial direction to obtain the spiral groove mathematical equation of the single-blade micro drill; According to the meshing relationship between the forming grinding wheel and the spiral groove and the spiral groove mathematical equation, the meshing curve formed by the forming grinding wheel and the spiral groove in space is obtained; The meshing curve is solved, and the coordinate operation dimension reduction and circular arc fitting of the solution are performed to obtain the final profile of the forming grinding wheel; The end surface curve of the single-blade micro drill is composed of a drill blade curve and a groove back curve, and the spiral groove should be smooth, so the two are tangent at the drill core circle; The mathematical equation of the drill blade curve is: ； wherein and are the x and y coordinates of the curve equation; is the end face core circle radius; is the parameter variable of the drill bit curve mathematical equation; is the outside circle radius; is the drill point angle; is the helix angle; The mathematical equation of the drill bit curve is a parametric equation of ; The value range of ; The groove back curve is defined by a circular arc; The mathematical equation of the groove back curve is: ； ； wherein is the radius of the back of the groove; is the parameter variable of the mathematical equation of the back of the groove curve; is the design parameter of the back of the groove arc; The groove back circular curve is a parametric equation about the parameters; the value range of a is ; = Ag + ∠B'OY; Ag=(360°-A1-A2) / 2; In the formula is the value parameter of the circular-arc curve of the groove back; Ag is the central angle corresponding to the spiral groove; B' is the end point of the drill blade curve; O is the origin; Y represents the Y axis; A1 is the central angle corresponding to the large blade lobe; and A2 is the central angle corresponding to the small blade lobe.

2. A method of profiling a forming wheel for single-point micro drills according to claim 1, wherein The end surface curve is made spiral motion along the axial direction to obtain the spiral groove mathematical equation of the single-blade micro drill, specifically: Based on the property that the common normal formed by any point contacted by the spiral groove and the outer surface of the grinding wheel during the process of the forming grinding wheel machining the spiral groove must intersect with the grinding wheel axis, the end surface curve is made spiral motion along the axial direction to obtain the spiral groove mathematical equation of the single-blade micro drill; ； wherein are the three-dimensional coordinates of the points of the helical groove surface, respectively; and are the horizontal and vertical coordinate functions of the mathematical equation of the end surface curve, respectively; is the parameter variable of the mathematical equation of the end surface curve; is the lead, is the angle of rotation.

3. The profile design method of a single-point microdrill forming grinding wheel according to any one of claims 1 to 2, characterized in that, According to the meshing relationship between the forming grinding wheel and the spiral groove and the spiral groove mathematical equation, the meshing curve formed by the forming grinding wheel and the spiral groove in space is obtained, specifically including: The axial equation of the grinding wheel is obtained according to the relative position relationship between the forming grinding wheel and the single-blade micro drill in space; ； In the formula represents the offset of the center point of the grinding wheel profile in the X-axis direction in the single-blade micro drill coordinate system; is the angle of the grinding wheel axis relative to the single-blade micro drill coordinate system rotating counterclockwise around the X-axis; is the X-axis of the grinding wheel space rectangular coordinate system; is the Y-axis of the grinding wheel space rectangular coordinate system; is the Z-axis of the grinding wheel space rectangular coordinate system; According to the spiral groove mathematical equation, the normal equation of each point on the spiral groove surface is obtained through analytic geometry knowledge; ； wherein is the coordinate of any point on the helical groove surface; is the coordinate of the moving point on the normal line of any point ; is the lead; is the parameter variable of the mathematical equation of the end surface curve; denotes differentiation; The meshing equation of the forming grinding wheel and the spiral groove is obtained by combining the normal equation and the axial equation; 。 4. The profile design method of a single-point micro-drill forming grinding wheel according to claim 3, wherein The meshing curve is solved, and the coordinate operation dimension reduction and circular arc fitting of the solution are performed to obtain the final profile of the forming grinding wheel, specifically: The meshing equation is a binary implicit transcendental equation, and the numerical solution of the equation is solved by the fsolve operator packaged in Matlab; When the equation has a solution, the set of equation solutions is the coordinates of a point on the meshing curve of the grinding wheel and the spiral groove; the meshing curve is wrapped on the surface of the profiled grinding wheel, and the two-dimensional axial profile of the profiled grinding wheel can be obtained by coordinate operation dimension reduction; wherein, the profile is composed of discrete points; the coordinate operation dimension reduction comprises: converting the obtained set of contact line coordinates in the micro drill coordinate system into coordinates in the grinding wheel coordinate system through coordinate system transformation, to obtain the expression of the contact line in the grinding wheel coordinate system; then converting the rectangular coordinates into cylindrical coordinates ; finally, ignoring , only keeping two quantities, and recording them as plane coordinates : ; in the formula is a radial distance, is a circumferential angle; According to the preset segmentation number, segmentation points are set at the maximum curvature change positions of the profile coordinate points on the left and right sides of the forming grinding wheel to obtain segmented profiles; After segmentation, the "three-point unique determination of circular arc minimum average error method" is used to realize circular arc fitting to obtain the final profile of the forming grinding wheel.

5. The profile design method of a forming grinding wheel for a single-point micro drill according to claim 4, wherein Segmentation points are set at the maximum curvature change positions of the profile coordinate points on the left and right sides of the forming grinding wheel, specifically including: The curvatures of the intermediate discrete points are calculated by traversing the discrete points of the profile; wherein, all discrete points of the two-dimensional axial profile are taken as input during the first traversal, and the discrete points of the segmented profile are taken as input during subsequent traversal; The first discrete point, the discrete point with the maximum curvature, and the last discrete point are selected as segmentation points for segmentation to obtain the segmented profile.

6. A profile design method of a forming grinding wheel for a single-point micro drill according to claim 4, wherein After segmentation, the "three-point unique determination of circular arc minimum average error method" is used to realize circular arc fitting to obtain the final profile of the forming grinding wheel, specifically including: For the piecewise profile of the input Each discrete point determines the first and last two discrete points; respectively, and the average error of the first and last discrete points is calculated. -1 discrete point and the average error of the first and last discrete points; wherein the average error is the cumulative sum of the distance from all discrete points to the center of the circle and the difference between the circle radius. The discrete points with the minimum average error and the first and last discrete points are selected to determine the segmented circular arc; The final profile is obtained by fitting the axial profile of the forming grinding wheel according to the segmented circular arc of each segmented profile.

7. An apparatus for designing a profile of a forming wheel for a single-point micro drill, characterized by comprising: The profile design method of the forming grinding wheel of the single-blade micro drill is suitable for performing the profile design method of the single-blade micro drill according to any one of claims 1 to 6; The profile design device comprises: An end surface equation module is configured to establish an end surface curve mathematical equation of the single-blade micro drill; A spiral groove module is configured to make a spiral motion of the end surface curve along an axial direction to obtain a spiral groove mathematical equation of the single-blade micro drill; An engagement curve module is configured to obtain an engagement curve formed by the forming grinding wheel and the spiral groove in space according to an engagement relationship between the forming grinding wheel and the spiral groove and the spiral groove mathematical equation; A final profile module is configured to solve the engagement curve, and perform coordinate operation dimension reduction and circular arc fitting on a solution of the solving to obtain a final profile of the forming grinding wheel.

8. An apparatus for designing a profile of a forming wheel for single-point micro drills, characterized by, The computer program can be executed by the processor to implement the profile design method of the forming grinding wheel of the single-blade micro drill according to any one of claims 1 to 6.

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