CN108098515B - Method for machining drill groove type by using multiple formed grinding wheels - Google Patents
Method for machining drill groove type by using multiple formed grinding wheels Download PDFInfo
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- CN108098515B CN108098515B CN201711316637.1A CN201711316637A CN108098515B CN 108098515 B CN108098515 B CN 108098515B CN 201711316637 A CN201711316637 A CN 201711316637A CN 108098515 B CN108098515 B CN 108098515B
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B24—GRINDING; POLISHING
- B24B—MACHINES, DEVICES, OR PROCESSES FOR GRINDING OR POLISHING; DRESSING OR CONDITIONING OF ABRADING SURFACES; FEEDING OF GRINDING, POLISHING, OR LAPPING AGENTS
- B24B19/00—Single-purpose machines or devices for particular grinding operations not covered by any other main group
- B24B19/02—Single-purpose machines or devices for particular grinding operations not covered by any other main group for grinding grooves, e.g. on shafts, in casings, in tubes, homokinetic joint elements
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B24—GRINDING; POLISHING
- B24B—MACHINES, DEVICES, OR PROCESSES FOR GRINDING OR POLISHING; DRESSING OR CONDITIONING OF ABRADING SURFACES; FEEDING OF GRINDING, POLISHING, OR LAPPING AGENTS
- B24B1/00—Processes of grinding or polishing; Use of auxiliary equipment in connection with such processes
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Abstract
The invention discloses a method for machining a drill groove type by using various formed grinding wheels, which comprises the following steps: s1, determining a grinding wheel to be processed, and determining in a parameter form; the grinding wheel to be processed is divided into two sections of circular arc forming grinding wheels, two sections of circular arc section linear forming grinding wheels and three sections of circular arc forming grinding wheels, and the profiles of the three types of grinding wheels are determined by corresponding grinding wheel shaft section profile parameters. And S2, determining the groove shape of the initially formed grinding wheel and calculating the pivot angle. S3, planning a track, and discretely processing track points according to the length of the cutting edge and a blade line spiral line; and outputting the track point pose after the track planning, displaying the pose on a software interface in an NC (numerical control) mode after the pose is processed by a machine tool post-processing unit, and processing the bar by a numerical control system according to the track. The invention provides a drill grooving process capable of parametrically supporting various formed grinding wheel machining, and the drill grooving process can automatically correct the grooving edge line to be aligned without using third-party correction software, thereby not only improving the drill machining production efficiency, but also saving the machining cost.
Description
Technical Field
The invention provides a method for machining a drill groove type by using various formed grinding wheels, belonging to the field of machining of high-end precision instruments.
Background
The invention is originated from the important science and technology special item of a national high-grade numerical control machine tool and basic manufacturing equipment, namely an application demonstration project (2013ZX 04005-21) of five-axis linkage precision tool grinder and grinding software development.
High-end solid carbide tool products are widely used in the fields of automobiles, aviation, engineering machinery, high-speed rails, electrical equipment, power equipment, refrigeration equipment and other high-end precision machining, wherein a solid carbide drill bit is mainly related to hole-related precision instrument machining, and for the solid carbide drill bit, the groove shape directly influences the chip removal function, thereby indirectly influencing the service life of the tool and a machine tool. The groove machining is particularly important.
In addition, when a common grinding wheel is used for grooving the drill bit, the groove back form is single, the excircle of the grinding wheel is single and thin, and the grinding wheel is easy to wear.
Disclosure of Invention
The invention provides a drill grooving process capable of parametrically supporting various formed grinding wheel machining, and the drill grooving process can automatically correct the grooving edge line to be aligned without using third-party correction software, thereby not only improving the drill machining production efficiency, but also saving the machining cost.
The invention realizes the method for processing various groove-shaped structures by utilizing geometric elements of the formed grinding wheel in a parameterization manner, improves the chip removal effect in a pertinence way compared with the groove shape processed by the common grinding wheel, and realizes the aim of processing the same groove shape and prolonging the service life of the grinding wheel.
In order to achieve the above object, the present invention provides a method for processing a drill groove profile using a plurality of types of formed grinding wheels, comprising the steps of:
s1, determining a grinding wheel to be processed, and determining in a parameter form;
the grinding wheel to be processed is divided into a two-section arc forming grinding wheel, a two-section arc one-section linear forming grinding wheel and a three-section arc forming grinding wheel, and the profiles of the three types of grinding wheels are determined by corresponding grinding wheel shaft section profile parameters;
s2, determining groove shape of initially-formed grinding wheel and calculating pivot angle
The grinding wheel pose refers to the spatial position (x, y, z) and the grinding wheel corner (B, C) of the grinding wheel in a modeling coordinate system, wherein the spatial position (x, y, z) of the grinding wheel is determined by the circle center of the grinding wheel circle on the grinding end surface of the grinding wheel; the grinding wheel corner B refers to the angle of the grinding wheel around the Y axis, and the grinding wheel corner C refers to the angle of the grinding wheel around the Z axis;
the main parameter inputs of groove type calculation comprise a cutter diameter toolD, a core thickness diameter coreD, a spiral angle helix angle, a clearance angle gapAgl, an offset, a grinding front delay time L, a grinding rear delay time back L, an exit arc radius sR and an exit arc limiting angle sAgl, wherein the exit arc radius and the exit arc limiting angle are parameters for the exit of the grinding wheel and are not discussed here, so the two parameters are removed from the following discussion;
taking the center of a bar as an origin of coordinates, coinciding the central axis of the bar with a Z axis, determining that the Y axis is vertically upward, the X axis is horizontally rightward and the Z direction is determined by a right hand rule, establishing a modeling coordinate system, and calculating the circle center position (X, Y, Z) and the grinding wheel corner (B, C) of the grinding end of the grinding wheel;
s3 trajectory planning
Discrete processing the locus points according to the cutting edge line spiral line according to the length of the cutting edge;
cutting edge length cutedge L en, discrete point number n, step length of each segment
Lead
The shaft angle C of the bar corresponding to the ith pointi，
And outputting the pose of the track point after the track planning, displaying the pose on a software interface in an N form after the pose is processed by a machine tool post-processing unit, and processing the bar stock according to the track by a numerical control system.
Preferably, in step S1, the shaping of the grinding wheel includes:
the profile parameters of the two-section arc forming grinding wheel are as follows: radius of grinding end arc R1Radius of arc R of non-grinding end2The grinding wheel comprises a grinding end arc width A, a grinding end arc tangent angle c at the joint of two arcs, a non-grinding end arc tangent angle a at the joint of two arcs, a grinding wheel diameter D and a grinding wheel width E.
The profile parameters of the grinding wheel formed by two sections of circular arcs and a straight line are as follows: radius of grinding end arc R1Middle arc radius R2The arc tangent angle a of the grinding end at the joint of the two arcs1The middle arc tangent angle a at the joint of the two arcs2Tangent angle a at straight line at arc straight line junction3Arc width A of grinding end1Middle arc width A2The width E of the grinding wheel,Diameter D of the grinding wheel.
The profile parameters of the three-section arc forming grinding wheel are as follows: radius of grinding end arc R1Radius of arc R of non-grinding end2Middle arc radius R3Arc width A of grinding end1Arc width A of non-grinding end2The arc tangent angle a of the grinding end at the joint of the two arcs1The arc tangent angle a of the non-grinding end at the junction of the two arcs2The tangent angle a at the middle arc at the junction of the grinding end arc and the middle arc3Diameter D of the junction of the grinding end arc and the middle arc1Diameter D of the junction of the non-grinding end arc and the middle arc2The width E of the grinding wheel and the diameter D of the highest point of the grinding wheel.
Establishing a grinding wheel shaft section profile two-dimensional coordinate system, wherein the direction of a grinding wheel rod (an axis passing through the center of the grinding wheel is vertical to the end face of the grinding wheel) is an X axis, the positive direction points to a grinding end, the direction vertical to the grinding wheel rod is a Y axis, the positive direction is upward, a coordinate origin is established on the central axis of the grinding wheel rod and is at the midpoint of the width of the grinding wheel, two intersection points of the centers of middle circular arcs are obtained by intersecting the circle where the circular arc of the grinding end is located and the circle where the circular arc of the non-grinding end is located, and the smaller Y.
For the grinding wheel formed by two arcs and two straight arcs, the center of the middle arc does not exist, and the center is (0, 0).
Preferably, in step S2, the method includes determining an initial grinding wheel pose and a true angle according to the interface parameters of the formed grinding wheel and the slot interface parameters, and includes:
s21, grinding end circle center coordinates of the grinding wheel:
corepoint＝(-offset,coreD/2,0) (2)
grinding wheel corner B0Is composed of
B0＝helixAgl+gapAgl (3)
From B0The normal vector of the grinding wheel, wheelnormal Vect (X-axis unit vector I rotating around Y-axis B) can be obtained0The angle is obtained),
the related parameters of the grinding wheel transmitted into the algorithm from the geometric parameter interface of the grinding wheel are used for calculating the center coordinate center of the highest point of the grinding wheel in the two-dimensional coordinate system of the grinding wheel, and the distance from the highest point to the edge of the grinding wheel is as follows:
three-section arc forming grinding wheel
Two-segment arc forming grinding wheel distance L ═ A
Two-segment arc-straight line forming grinding wheel distance L ═ A1
The center coordinates of the grinding wheel are as follows:
three-section arc forming grinding wheel
(x0,y0,z0)＝corepoint+(center(2)+R3)*J-r0Dir*wheelnormalVect*distanceL
Two-section arc forming grinding wheel and two-section arc straight line forming grinding wheel
(x0,y0,z0)＝corepoint+D*J-r0Dir*wheelnormalVect*distanceL (4)
Wherein I, J and K are X, Y and Z axis unit vectors, and r0Dir is a parameter for controlling the end of the grinding wheel used as a grinding end;
the coordinates (x) of the circle center of the grinding wheel are calculated0,y0,z0) And the angle of rotation of the grinding wheel (B)00) is obtained, whereby the drill groove profile is determined, the drill groove profile being the grinding wheel in (x)0,y0,z0,B0And 0) interference bar formation at the pose; in order to make the groove shape of the drill consistent with the starting point position of the peripheral cutting edge of other working procedures of the drill, the tangent point at the position where the starting point Z of the peripheral cutting edge of the drill is 0 needs to be centered, the centered point is just on the Y axis, and at the moment, the Z axis needs to rotate by a rotating angle C0Calculating C0The process of (1) is a process of determining the edge line straightening rotation angle;
because the grinding wheel grinding end circular arc of the formed grinding wheel is larger than the grinding wheel circular arc of the common grinding wheel, the position of a tangent point tangentpoint of the grinding wheel contacted with a bar material can be on the end surface of the grinding wheel circular arc at the grinding end of the formed grinding wheel and also can be on the grinding end circular arc, and in order to determine the tangentpoint coordinate, the adopted calculation method is that the grinding wheel is divided into a plurality of grinding wheel section circles according to the thickness of the grinding wheel along the axial direction of the grinding wheel, and because B is that B, the0Determines the grinding wheel surface and the cutterThe included angle of the shaft is determined, so that the section shape of the round section of the grinding wheel cutting the bar stock is determined, the section shape has two conditions, the straight groove is a straight line, the non-straight groove is an ellipse, and the current grinding wheel width widradius is obtainediThe shortest distance between the section of the grinding wheel and the section of the bariPoint of intersectioni1,pointi2(ii) a Wherein, there are two intersection points, the intersection point used is selected according to whether the cutting direction of the cutter is left-handed or right-handedi(ii) a The difference is made between the distance and the radius of the grinding wheel with the current thickness, the corresponding intersection point of the minimum difference value and less than the specified error is the required tangent point tandentpoint, the obtained tangent point is not necessarily on the XOY plane of the modeling coordinate system,
when the point of tangency is on the XOY plane,
when the tangent point is not on the XOY plane of the modeling coordinate system, the space point rotates the theta angle formula around the Z axis according to the following equation system of the tangent point on the edge line:
parameter equation after the knife edge line passes through the Y axis and is rotated by the angle theta:
wherein the content of the first and second substances,
the theta direction is determined by the right hand rule and is determined by the tangent point tandentpoint at the turn C0On the rear edge line, there is a system of equations
f(C0,tangentpoint(3))-tangentpoint＝0 (7)
Solving equation set (7) to obtain C0；
Sand wheel rotation C0The bar rotates to-C0And (4) aligning, and obtaining the initial pose of the grinding wheel through the step (4).
(x,y,z,B,C)＝(x0,y0,z0,B0,-C0) (9)
The technical scheme of the invention is as follows: the method is characterized in that the geometric element calculation of the grinding wheel is deduced to calculate the groove structure by utilizing the structural characteristics of the profile of the formed grinding wheel, the formed grinding wheel is modified parametrically, and the formed grinding wheel is selected in a diversity mode (two-section arc formed grinding wheel, one-section arc straight line formed grinding wheel and three-section arc formed grinding wheel) to process the drill groove.
The algorithm for calculating the groove shape comprises the calculation of the groove alignment, the calculation of the alignment position angle parameters by using third-party software is avoided, and the algorithm can realize the real-time groove shape alignment so as to be matched with other procedures to process a complete drill bit.
Drawings
FIG. 1 is a schematic flow chart of the present invention.
FIG. 2 is a graph of two-segment arc, two-arc one-straight line and three-segment arc profile of grinding wheel
FIG. 3 is a schematic diagram of geometric element calculation of a three-segment arc forming grinding wheel.
FIG. 4 is a schematic view of a grinding wheel coordinate system.
Fig. 5 is a schematic diagram of a first part of tool parameter information.
Fig. 6 is a second partial schematic view of tool parameter information.
Fig. 7 models a schematic of a coordinate system.
FIG. 8 is a schematic view of a first state of a tangent point aligning groove type.
FIG. 9 is a schematic diagram of a second state of the tangent point aligning groove type.
Fig. 10 is a schematic view of a first state of the plane drill simulation.
Fig. 11 is a schematic diagram of a second state of the plane drill simulation.
Detailed Description
As shown in fig. 1, the present invention mainly comprises two parts: firstly, selecting a grinding wheel; secondly, determining the groove shape of the initially formed grinding wheel and calculating the pivot angle; and thirdly, planning the track. The following description will be made separately.
Grinding wheel selection
The invention is applied to matched cutter grinding software, forms matched application with a seven-axis six-linkage tool grinding machine, and adds the calculation of the geometric parameters of the formed grinding wheel on a software grinding wheel selection interface. The currently supported formed grinding wheel comprises a two-section circular arc, a straight line and a three-section circular arc formed grinding wheel, and parameters of the grinding wheel in the grinding wheel process can be modified and are opened for a user to adjust geometric parameters of the cross section profile of the grinding wheel shaft. The parameters of the three-segment arc forming grinding wheel are shown in fig. 3, and the known quantity of the forming grinding wheel is as follows: radius of grinding end arc R1Radius of arc R of non-grinding end2Middle arc radius R3Arc width A of grinding end1Arc width A of non-grinding end2The width E of the grinding wheel and the diameter D of the junction of the grinding end arc and the middle arc1Diameter D of the junction of the non-grinding end arc and the middle arc2The radius R is corresponding to the known middle arc3Corresponding width E-A1-A2Establishing a grinding wheel coordinate system as shown in FIG. 4, wherein the grinding wheel spindle (an axis passing through the center of the grinding wheel is perpendicular to the end face of the grinding wheel) is oriented along the X-axis, the positive direction is directed toward the grinding end, the direction perpendicular to the grinding wheel spindle is oriented along the Y-axis, the positive direction is directed upward, the origin of coordinates is established on the central axis of the grinding wheel spindle, the center point of the grinding wheel width is located at the center point of the grinding wheel, and the radius R1Radius R of the circle and non-grinding end2The intersection of the circles of (1) is that the smaller component of the intersection point Y is the middle circular arc R3The diameter of the highest point of the grinding wheel at the center of the circle:
D＝2(center(3)+R3) (1)
the tangent angle a of the non-grinding end arc at the junction of the two arcs2The tangent angle a at the middle arc at the junction of the grinding end arc and the middle arc3Is composed of
In summary, the grinding wheel parameters found from the knowledge and the known parameters are displayed together in the grinding wheel geometry interface, as shown in FIG. 4, for use in the following main algorithm.
Initial forming grinding wheel groove type determination and swing angle calculation
When the section profile of the grinding wheel shaft and the position of the grinding wheel are determined, the groove type is determined correspondingly, the main parameter input of groove type calculation comprises the dimension parameters of the formed grinding wheel, such as the grinding wheel parameters shown in figure 3, and the tool parameters input in the process interfaces shown in figures 5-6, including the tool diameter toolD, the core thickness diameter coreD, the helix angle heixagl, the clearance angle gapAgl, the offset, the grinding front extension ront L and the grinding rear extension back L.
The algorithm implementation process takes a modeling coordinate system shown in fig. 7, the center of a bar stock is taken as the origin of coordinates, the central axis of the bar stock is coincident with the axis Z, and the circle center position (x, y, Z) and the grinding wheel corner (B, C) of the grinding wheel at the grinding end of the grinding wheel are calculated through the input parameters.
The whole algorithm implementation mainly comprises two parts: firstly, solving the center coordinate of a grinding end of a grinding wheel; secondly, determining the edge line straightening rotation angle.
The coordinate of the circle center of the grinding end of the grinding wheel is solved, a three-section arc forming grinding wheel is taken as an example for explanation, and the coordinate of the lowest point of the grinding wheel can be determined by known parameters as follows:
grinding wheel corner B0Is composed of
B0＝helixAgl+gapAgl (3)
From B0The normal vector of the grinding wheel, wheelnormal Vect (X-axis unit vector I rotating around Y-axis B) can be obtained0The angle is obtained),
the related parameters of the grinding wheel transmitted into the algorithm from the geometric parameter interface of the grinding wheel are used for calculating the center coordinate center of the highest point of the grinding wheel in the two-dimensional coordinate system of the grinding wheel, and the distance from the highest point to the edge of the grinding wheel is as follows:
the center coordinates of the grinding wheel are as follows:
(x0,y0,z0)＝corepoint+(center(2)+R3)*J-r0Dir*wheelnormalVect*distanceL
(4)
wherein I, J and K are X, Y and Z axis unit vectors, and r0Dir is a parameter for controlling the end of the grinding wheel used as a grinding end;
the center coordinates (x) of the grinding wheel are determined0,y0,z0) And the angle of rotation of the grinding wheel (B)00) is determined so that the profile of the drill is determined, the profile of the drill being that of the grinding wheel in (x)0,y0,z0,B0And 0) interference bar formation at the pose; in order to make the drill groove shape consistent with the peripheral blade starting point position of other procedures of the drill, the tangent point at the position where the peripheral blade starting point Z of the drill groove is 0 needs to be righted as shown in figures 8-9, and the tangent point is right on the Y axis after being righted, and at the moment, the Z axis needs to rotate by a rotating angle C0Calculating C0The process of (1) is a process of determining the edge line straightening rotation angle;
because the grinding wheel grinding end circular arc of the formed grinding wheel is larger than the grinding wheel circular arc of the common grinding wheel, the position of the tangent point tangentpoint of the grinding wheel contacted with the bar is not determined well at the position of the grinding wheel, namely the tangent point tangentpoint can be positioned on the end surface of the grinding wheel circle at the grinding end of the formed grinding wheel or the grinding end circular arc, in order to determine the tangentpoint coordinate, the adopted calculation method is that the grinding wheel is divided into a plurality of grinding wheel section circles according to the thickness of the grinding wheel along the axial direction of the grinding wheel, and because B0Determining the included angle between the grinding wheel surface and the tool shaft, determining the section shape of the round section of the grinding wheel for cutting the bar stock, wherein the section shape has two conditions, namely a straight line when a straight groove is formed, and an ellipse when a non-straight groove is formed, and solving the current grinding wheel width widradiusiThe shortest distance between the section of the grinding wheel and the section of the bariPoint of intersectioni1,pointi2(ii) a Wherein, there are two intersection points, the intersection point used is selected according to whether the cutting direction of the cutter is left-handed or right-handedi(ii) a By the distance andthe radius of the grinding wheel with the current thickness is differentiated, the corresponding intersection point with the minimum difference value smaller than the specified error is the required tangent point tandentpoint, the obtained tangent point is not necessarily on the XOY plane of the modeling coordinate system,
when the point of tangency is on the XOY plane,
when the tangent point is not on the XOY plane of the modeling coordinate system, the space point rotates the theta angle formula around the Z axis according to the following equation system of the tangent point on the edge line:
parameter equation after the knife edge line passes through the Y axis and is rotated by the angle theta:
wherein the content of the first and second substances,
the theta direction is determined by the right hand rule and is determined by the tangent point tandentpoint at the turn C0On the rear edge line, there is a system of equations
f(C0,tangentpoint(3))-tangentpoint＝0 (7)
Solving equation set (7) to obtain C0；
Sand wheel rotation C0The bar rotates to-C0And (4) aligning, and obtaining the initial pose of the grinding wheel through the step (4).
(x,y,z,B,C)＝(x0,y0,z0,B0,-C0) (9)
Trajectory planning
And after the initial pose is determined, discretely processing the track points according to the cutting edge line spiral line according to the length of the cutting edge.
Cutting edge length cutedge L en, discrete point number n, each section step formula:
lead calculation formula:
extend forward by a corresponding C angle CfrontFront L/helix L gh 2 pi, the i-th point corresponds to the barstock shaft angle Ci：
The trajectory points are output as shown in table 1 after the trajectory planning, the trajectory is processed by a machine tool post-processing unit after the trajectory planning, and is displayed on a software interface in an N code form, and the processing effect taking a plane drill as an example is shown in fig. 10-11.
TABLE 1 output trace points
The above description is only for the preferred embodiment of the present invention, but the scope of the present invention is not limited thereto, and any person skilled in the art should be able to cover the technical solutions and the inventive concepts of the present invention within the technical scope of the present invention.
Claims (3)
1. A method for machining a drill groove profile by using a plurality of formed grinding wheels is characterized by comprising the following steps:
s1, determining a grinding wheel to be processed, and determining in a parameter form;
the grinding wheel to be processed is divided into a two-section arc forming grinding wheel, a two-section arc one-section linear forming grinding wheel and a three-section arc forming grinding wheel, and the profiles of the three types of grinding wheels are determined by corresponding grinding wheel shaft section profile parameters;
s2, determining groove shape of initially-formed grinding wheel and calculating pivot angle
The grinding wheel pose refers to the spatial position (x, y, z) and the grinding wheel corner (B, C) of the grinding wheel in a modeling coordinate system, wherein the spatial position (x, y, z) of the grinding wheel is determined by the circle center of the grinding wheel circle on the grinding end surface of the grinding wheel; the grinding wheel corner B refers to the angle of the grinding wheel around the Y axis, and the grinding wheel corner C refers to the angle of the grinding wheel around the Z axis;
the main parameters of groove type calculation are input, and comprise a cutter diameter toolD, a core thickness diameter coreD, a spiral angle helix angle, a clearance angle gapAgl, an offset, a grinding front delay ront L and a grinding rear delay back L;
taking the center of a bar as an origin of coordinates, coinciding the central axis of the bar with a Z axis, determining that the Y axis is vertically upward, the X axis is horizontally rightward and the Z direction is determined by a right hand rule, establishing a modeling coordinate system, and calculating the circle center position (X, Y, Z) and the grinding wheel corner (B, C) of the grinding end of the grinding wheel;
s3 trajectory planning
Discrete processing the locus points according to the cutting edge line spiral line according to the length of the cutting edge;
cutting edge length cutedge L en, discrete point number n, step length of each segment
Lead
The shaft angle C of the bar corresponding to the ith pointi，
And outputting the track point pose after the track planning, displaying the pose on a software interface in an NC (numerical control) mode after the pose is processed by a machine tool post-processing unit, and processing the bar by a numerical control system according to the track.
2. The method of machining a drill bit pocket using a plurality of types of grinding wheels according to claim 1, wherein the molding of the grinding wheel in step S1, the parameterization comprising:
aiming at the two-section arc molding grinding wheel, the profile parameters are as follows: radius of grinding end arc R1Radius of arc R of non-grinding end2The grinding end circular arc width A, a grinding end circular arc tangent angle c at the joint of the two circular arcs, a non-grinding end circular arc tangent angle a at the joint of the two circular arcs, the diameter D of the grinding wheel and the width E of the grinding wheel;
aiming at the grinding wheel formed by two sections of circular arcs and one straight line, the profile parameters are as follows: radius of grinding end arc R1Middle arc radius R2The arc tangent angle a of the grinding end at the joint of the two arcs1The middle arc tangent angle a at the joint of the two arcs2Tangent angle a at straight line at arc straight line junction3Arc width A of grinding end1Middle arc width A2The width E of the grinding wheel and the diameter D of the grinding wheel;
for the three-section arc forming grinding wheel, the profile parameters are as follows: radius of grinding end arc R1Radius of arc R of non-grinding end2Middle arc radius R3Arc width A of grinding end1Arc width A of non-grinding end2The arc tangent angle a of the grinding end at the joint of the two arcs1The arc tangent angle a of the non-grinding end at the junction of the two arcs2The tangent angle a at the middle arc at the junction of the grinding end arc and the middle arc3Diameter D of the junction of the grinding end arc and the middle arc1Diameter D of the junction of the non-grinding end arc and the middle arc2The width E of the grinding wheel and the diameter D of the highest point of the grinding wheel;
establishing a grinding wheel shaft section profile two-dimensional coordinate system, wherein the direction of a grinding wheel rod is an X axis, the positive direction points to a grinding end, the direction vertical to the grinding wheel rod is a Y axis, the positive direction is upward, a coordinate origin is established on a grinding wheel rod central axis and at the width midpoint of the grinding wheel, two intersection points of the centers of the middle circular arcs are obtained by intersecting the circle of the grinding end circular arc and the circle of the non-grinding end circular arc, and the smaller one of the Y components is the center of the middle circular arc;
for the two-segment circular arc and two-segment circular arc straight line molding grinding wheel, center is (0, 0).
3. The method of claim 1, wherein the step of determining the initial wheel position and the pivot angle according to the profile wheel interface parameter and the grooving interface parameter in step S2 comprises the steps of:
s21, grinding end circle center coordinates of the grinding wheel:
corepoint＝(-offset,coreD/2,0) (2)
grinding wheel corner B0Is composed of
B0＝helixAgl+gapAgl (3)
From B0The normal vector of the grinding wheel, wheelnormal Vect (X-axis unit vector I rotating around Y-axis B) can be obtained0The angle is obtained),
the related parameters of the grinding wheel transmitted into the algorithm from the geometric parameter interface of the grinding wheel are used for calculating the center coordinate center of the highest point of the grinding wheel in the two-dimensional coordinate system of the grinding wheel, and the distance from the highest point to the edge of the grinding wheel is as follows:
three-section arc forming grinding wheel
Two-segment arc forming grinding wheel distance L ═ A
Two-segment arc-straight line forming grinding wheel distance L ═ A1
The center coordinates of the grinding wheel are as follows:
three-section arc forming grinding wheel
(x0,y0,z0)＝corepoint+(center(2)+R3)*J-r0Dir*wh eelnormalVect*distanceL
Two-section arc forming grinding wheel and two-section arc straight line forming grinding wheel
(x0,y0,z0)＝corepoint+D*J-r0Dir*wheelnormalVect*distanceL (4)
Wherein I, J and K are X, Y and Z axis unit vectors, and r0Dir is a parameter for controlling the end of the grinding wheel used as a grinding end;
the coordinates (x) of the circle center of the grinding wheel are calculated0,y0,z0) And the angle of rotation of the grinding wheel (B)00) is obtained, whereby the drill groove profile is determined, the drill groove profile being the grinding wheel in (x)0,y0,z0,B0And 0) interference bar formation at the pose; in order to make the groove shape of the drill consistent with the starting point position of the peripheral cutting edge of other working procedures of the drill, the tangent point at the position where the starting point Z of the peripheral cutting edge of the drill is 0 needs to be centered, the centered point is just on the Y axis, and at the moment, the Z axis needs to rotate by a rotating angle C0Calculating C0The process of (1) is a process of determining the edge line straightening rotation angle;
because the grinding wheel grinding end circular arc of the formed grinding wheel is larger than the grinding wheel circular arc of the common grinding wheel, the position of a tangent point tangentpoint of the grinding wheel contacted with a bar material can be on the end surface of the grinding wheel circular arc at the grinding end of the formed grinding wheel and also can be on the grinding end circular arc, and in order to determine the tangentpoint coordinate, the adopted calculation method is that the grinding wheel is divided into a plurality of grinding wheel section circles according to the thickness of the grinding wheel along the axial direction of the grinding wheel, and because B is that B, the0Determining the included angle between the grinding wheel surface and the tool shaft, determining the section shape of the round section of the grinding wheel for cutting the bar stock, wherein the section shape has two conditions, namely a straight line when a straight groove is formed, and an ellipse when a non-straight groove is formed, and solving the current grinding wheel width widradiusiThe shortest distance between the section of the grinding wheel and the section of the bariPoint of intersectioni1,pointi2(ii) a Wherein, there are two intersection points, the intersection point used is selected according to whether the cutting direction of the cutter is left-handed or right-handedi(ii) a The difference is made between the distance and the radius of the grinding wheel with the current thickness, the corresponding intersection point of the minimum difference value and less than the specified error is the required tangent point tandentpoint, the obtained tangent point is not necessarily on the XOY plane of the modeling coordinate system,
when the point of tangency is on the XOY plane,
when the tangent point is not on the XOY plane of the modeling coordinate system, the space point rotates the theta angle formula around the Z axis according to the following equation system of the tangent point on the edge line:
parameter equation after the knife edge line passes through the Y axis and is rotated by the angle theta:
wherein the content of the first and second substances,
the theta direction is determined by the right hand rule and is determined by the tangent point tandentpoint at the turn C0On the rear edge line, there is a system of equations
f(C0,tangentpoint(3))-tangentpoint＝0 (7)
Solving equation set (7) to obtain C0；
Sand wheel rotation C0The bar rotates to-C0Straightening, and obtaining the initial pose of the grinding wheel through the step (4);
(x,y,z,B,C)＝(x0,y0,z0,B0,-C0) (9)。
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