CN108098515A - A kind of method using a variety of forming grinding wheel processing drill groove profiles - Google Patents
A kind of method using a variety of forming grinding wheel processing drill groove profiles Download PDFInfo
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- CN108098515A CN108098515A CN201711316637.1A CN201711316637A CN108098515A CN 108098515 A CN108098515 A CN 108098515A CN 201711316637 A CN201711316637 A CN 201711316637A CN 108098515 A CN108098515 A CN 108098515A
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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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- Mechanical Engineering (AREA)
- Grinding And Polishing Of Tertiary Curved Surfaces And Surfaces With Complex Shapes (AREA)
- Polishing Bodies And Polishing Tools (AREA)
Abstract
The invention discloses a kind of method using a variety of forming grinding wheel processing drill groove profiles, including step：S1, determine emery wheel to be processed, and determined with parametric form；The emery wheel to be processed is divided into two sections of circular arc molding emery wheels, two sections of circular arcs, one section of straight line forming grinding wheel, three sections of circular arc molding emery wheels, and three types grinding wheel profile is determined by corresponding emery wheel shaft section profile parameter.S2, original shaping emery wheel groove profile determine and ajust angle calculating.Tracing point is pressed sword line helix discrete processes by S3, trajectory planning according to cutting edge length；The output trajectory point pose after trajectory planning, is shown after lathe postpositive disposal cell processing in the form of NC in software interface, and digital control system processes bar by this track.The present invention proposes that a kind of parameterisable supports the drill bit fluting process of a variety of forming grinding wheels processing, and can automatically correct and make fluting sword string pendulum just, without using third party's correction software, not only improves drill bit processing efficiency, also saves cost for processing.
Description
Technical field
The present invention proposes a kind of method using a variety of forming grinding wheel processing drill groove profiles, belongs to high-end precision instrument and adds
Work field.
Background technology
The present invention comes from country " high-grade, digitally controlled machine tools and basic manufacturing equipment " scientific and technological key special subjects:Five-axle linkage precision work
Has the Applied D emonstration engineering (2013ZX04005-21) of grinding machine and Grinding Software exploitation.
High-end solid carbide product is widely used in automobile, aviation, engineering machinery, high ferro, power equipment, dynamic
Power equipment, refrigeration equipment and other high-end precision optical machinery manufacture fields, wherein solid carbide drill are mainly related to hole
Precision instrument processing it is related, and groove profile directly affects chip removal function so as to influencing indirectly for solid carbide drill
The service life of cutter and lathe.So groove processing is particularly important.
In addition, when being processed using plain wheel to drill bit fluting, the slot back of the body is in the form of a single, and grinding wheel cylindrical is thin, and emery wheel is easy
The problems such as abrasion.
The content of the invention
The present invention proposes that a kind of parameterisable supports the drill bit fluting process of a variety of forming grinding wheel processing, and can automatic school
Just make fluting sword string pendulum just, without using third party's correction software, not only improving drill bit processing efficiency, also saved for processing
Cost.
The present invention realizes the method that a variety of trench structures are processed using forming grinding wheel geometric element of parameterisable, relatively general
The groove profile of logical emery wheel processing, targetedly improves chip removal effect, realizes and processes the target that identical groove profile extends emery wheel service life.
In order to achieve the above object, the present invention provides a kind of method with a variety of forming grinding wheel processing drill groove profiles, steps
Suddenly include：
S1, determine emery wheel to be processed, and determined with parametric form；
The emery wheel to be processed is divided into two sections of circular arc molding emery wheels, two sections of circular arcs, one section of straight line forming grinding wheel, three sections of circles
Arc forming grinding wheel, three types grinding wheel profile are determined by corresponding emery wheel shaft section profile parameter；
S2, original shaping emery wheel groove profile determine and ajust angle calculating
Emery wheel pose refers to spatial position (x, y, z) and emery wheel pivot angle (B, C) of the emery wheel in coordinate system is modeled, wherein,
The round heart of emery wheel on wheel grinding end face determines emery wheel spatial position (x, y, z)；Emery wheel pivot angle B angles refer to emery wheel around Y-axis corner,
C angles refer to emery wheel corner about the z axis；
The major parameter input that groove profile calculates, including cutter diameter toolD, core thickness diameter coreD, helical angle
Prolong backL after prolonging rontL, grinding before helixAgl, clearance angle gapAgl, offset offset, grinding, exit arc radius
SR, exit arc and limit angle sRAgl, wherein, exit arc radius and exit circular arc limit angle be parameter that emery wheel exits here not
It discusses, therefore removes this two parameter in being discussed below.；
Using bar center as coordinate origin, bar central axis is overlapped with Z axis, Y-axis straight up, X-axis level to the right, Z
Direction is determined by the right-hand rule, establishes modeling coordinate system, calculates wheel grinding end emery wheel center location (x, y, z) and emery wheel turns
Angle (B, C)；
S3, trajectory planning
Tracing point is pressed into sword line helix discrete processes according to cutting edge length；
The long cutedgeLen of cutting edge, discrete point number n, every section of step-lengthHelical pitchI-th point of corresponding bar Shaft angle Ci,It is advised by track
Output trajectory point pose, is shown, digital control system is pressed after lathe postpositive disposal cell processing in the form of N in software interface after drawing
This track processes bar.
Under preferred embodiment, forming grinding wheel in step S1, parametrization includes：
Two sections of circular arc molding grinding wheel profile parameters have：It is ground end arc radius R1, non-grinding end arc radius R2, grinding end
Circular arc width A, two circular arc junctions grinding end circular arc tangential line angle c, the non-grinding end circular arc tangential line angle a in two circular arc junctions, emery wheel
Diameter D, grinding wheel width E.
Two sections of one straight line forming grinding wheel profile parameters of circular arc have：It is ground end arc radius R1, intermediate arc radius R2, two circle
Arc junction is ground end circular arc tangential line angle a1, circular arc angle of contingence a among two circular arc junctions2, cut at circular arc straight line intersection straight line
Line angle a3, grinding end circular arc width A1, intermediate circular arc width A2, grinding wheel width E, grinding wheel diameter D.
Three sections of circular arc molding grinding wheel profile parameters have：It is ground end arc radius R1, non-grinding end arc radius R2, middle circle
Arc radius R3, grinding end circular arc width A1, non-grinding end circular arc width A2, two circular arc junctions grinding end circular arc tangential line angle a1, two
The non-grinding end circular arc tangential line angle a in circular arc junction2, grinding end circular arc and circular arc angle of contingence a among intermediate circular arc intersection3, mill
Cut end circular arc and intermediate circular arc intersection diameter D1, non-grinding end circular arc and intermediate circular arc intersection diameter D2, grinding wheel width E, sand
Take turns highest spot diameter D.
Emery wheel shaft section profile two-dimensional coordinate system is established, pole wheel (is hung down by an axis at emery wheel center with abrasive wheel end face
Directly) direction is X-axis, and positive direction is directed toward grinding end, and vertical pole wheel is reversed Y-axis, and positive direction is upward, and coordinate origin is established in sand
It takes turns on bar on central shaft and in grinding wheel width midpoint, circle intersects with round where non-grinding end circular arc where being ground end circular arc
To the intermediate circular arc center of circle, smaller one there are two Y-component, intersection point is intermediate circular arc center of circle center.
For two sections of circular arcs, two sections of one straight line forming grinding wheels of circular arc, there is no the intermediate circular arc center of circle, center=at this time
(0,0)。
Under preferred embodiment, in step S2, initial emery wheel can determine according to forming grinding wheel interface parameter and fluting interface parameter
Pose and angle is ajusted, step includes：
S21, wheel grinding end central coordinate of circle：
Corepoint=(- offset, coreD/2,0) (2)
Emery wheel pivot angle B0For
B0=helixAgl+gapAgl (3)
By B0Can obtain the normal vector wheelnormalVect of emery wheel, (X-axis unit vector I turns B around Y-axis0Angle obtains), by
Emery wheel geometric parameter interface is passed to the center of circle of the relevant parameter calculating emery wheel two-dimensional coordinate system lower grinding wheel peak of algorithm medium plain emery wheel
Coordinate center, then the distance at apogee distance emery wheel edge is：
Three sections of circular arc molding emery wheels
Two sections of circular arc molding emery wheel distanceL=A
Two sections of one straight line forming grinding wheel distanceL=A of circular arc1
Emery wheel central coordinate of circle:
Three sections of circular arc molding emery wheels
(x0,y0,z0)=corepoint+ (center (2)+R3)*J-r0Dir*wheelnormalVect*distance
Two sections of circular arc molding emery wheels, two sections of one straight line forming grinding wheels of circular arc
(x0,y0,z0)=corepoint+D*J-r0Dir*wheelnormalVect*distance (4)
Wherein I, J, K X, Y, Z axis unit vector, emery wheel uses parameter of that one end as grinding end to r0Dir in order to control；
Through above-mentioned calculating, emery wheel central coordinate of circle (x0,y0,z0) and emery wheel pivot angle (B0, 0) and it must ask, so as to which drill bit groove profile is true
Fixed, drill bit groove profile is emery wheel in (x0,y0,z0,B0, 0) and interfere what bar was formed under pose；In order to allow drill bit groove profile and drill bit
Other processes week, sword start position was unanimously, it is necessary to the point of contact at all sword starting point Z=0 of drill bit fluting be ajusted, after ajusting just
In Y-axis, Z axis need to rotate a corner C at this time0, calculate C0Process be just to determine the process of sword string pendulum dextrorotation corner；
Since the wheel grinding end circular arc of forming grinding wheel is bigger than the abrasive wheel grinding wheel arc of plain wheel, emery wheel is contacted with bar at this time
Point of contact tangentpoint points position be possible forming grinding wheel be ground end emery wheel circle end face on may also grinding end circle
On arc, in order to determine tangentpoint coordinates, the computational methods taken are, along emery wheel it is axial according to grinding wheel thickness by emery wheel
It is divided into several emery wheel section circles, due to B0The angle of wheel face and cutter shaft is determined, so that it is determined that bar is cut in emery wheel circular section
Cut type, section shape has two situations, for straight line, non-straight trough situation is ellipse during straight trough, seeks the wide widradius of current emery wheeliLocate sand
Wheel cross section cuts the beeline distance of type to bariWith intersection point pointi1,pointi2；Wherein, there are two intersection points, according to knife
Have cutting direction left cut or right cut intersection point point selected to usei；It is made the difference with this distance and current thickness grinding wheel radius, it is poor
It is desired point of contact tangentpoint to be worth smallest point and the correspondence intersection point less than specification error, and the point of contact being obtained at this time is differed
It is scheduled on modeling coordinate system XOY plane,
When point of contact is on XOY plane,
When point of contact is not on modeling coordinate system XOY plane, according to point of contact in the above-listed equation group of sword line, spatial point is revolved about the z axis
Turn θ angle formulas：
Parametric equation behind θ angles is turned by the sword line of Y-axis：
Wherein,θ directions are judged by the right-hand rule, and C is being turned over by point of contact tangentpoint0Sword afterwards
On line, there is equation group
f(C0, tangentpoint (3)) and-tangentpoint=0 (7)
Solving equations (7) obtain C0；
Emery wheel turns C0It ajusts, then bar turns-C0It ajusts, then the initial pose of emery wheel is obtained by (4).
(x, y, z, B, C)=(x0,y0,z0,B0,-C0) (9)
The technical scheme is that：Using forming grinding wheel contour structure feature, realize that emery wheel geometric element calculates and derive
Trench structure calculates, parametric modifying forming grinding wheel and diversity selection forming grinding wheel (two sections of circular arc molding emery wheels, two sections of circular arcs
One section of straight line forming grinding wheel, three sections of circular arc molding emery wheels) processing drill groove profile.
The calculating ajusted in the algorithm of groove profile comprising fluting is calculated, avoids calculating angle of putting on right position using third party software
Parameter realizes that the real-time groove profile of algorithm is ajusted, other processes to be coordinated to process complete bit process.
Description of the drawings
Fig. 1 present invention realizes flow diagram.
Two sections of circular arcs of Fig. 2, two circular arcs, one straight line, three sections of circular arc molding emery wheel parameter profile figures
Fig. 3 is that three sections of circular arc molding emery wheel geometric elements calculate schematic diagram.
Fig. 4 emery wheel coordinate system schematic diagrames.
Fig. 5 cutter parameters information first portion schematic diagram.
Fig. 6 cutter parameters information second portion schematic diagrames.
Fig. 7 models coordinate system schematic diagram.
Fig. 8 ajusts at point of contact groove profile first state schematic diagram.
Fig. 9 ajusts at point of contact the second view of groove profile.
Figure 10 planes bore emulation first state schematic diagram.
Figure 11 planes bore the second view of emulation.
Specific embodiment
As shown in Figure 1, the invention mainly comprises two parts：First, emery wheel is chosen；Second is that original shaping emery wheel groove profile determines
And ajust angle calculating；Third, trajectory planning.It illustrates separately below.
Emery wheel is chosen
Since different forming grinding wheels has different geometric elements, different geometric elements can influence drill bit groove profile, so
Corresponding forming grinding wheel may be selected according to specific needs and carry out fluting calculating, the present invention is applied in mating tool grinding software, and
Mating application is formed with seven axis six-linkage cutter and tool grinding machines, the geometric parameter of forming grinding wheel is added on software select grinding wheel interface
It calculates.The forming grinding wheel supported at present has two sections of circular arcs, two sections of circular arcs, one section of straight line, three sections of circular arc molding emery wheels, emery wheel technique
In the opening of emery wheel modifiable parameter to user be used for adjust grinding wheel spindle cross section profile geometric parameter.With three sections of circular arc molding emery wheels
Exemplified by parameter show as shown in figure 3, forming grinding wheel known quantity：It is ground end arc radius R1, non-grinding end arc radius R2, it is intermediate
Arc radius R3, grinding end circular arc width A1, non-grinding end circular arc width A2, grinding wheel width E, grinding end circular arc and intermediate circular arc
Intersection diameter D1, non-grinding end circular arc and intermediate circular arc intersection diameter D2, by circular arc respective radius R among known obtain3It is corresponding
Width E-A1-A2, emery wheel coordinate system is established as shown in figure 4, pole wheel (vertical with abrasive wheel end face by an axis at emery wheel center)
Direction is X-axis, and positive direction is directed toward grinding end, and vertical pole wheel is reversed Y-axis, and positive direction is upward, and coordinate origin is established in emery wheel
On central shaft and in grinding wheel width midpoint, the radius R where being ground end circular arc on bar1Circle and non-grinding end where radius R2
Circle ask friendship, smaller one of intersection point Y-component is intermediate circular arc R3The center of circle center of place circle, emery wheel highest spot diameter：
D=2 (center (3)+R3) (1)
The then non-grinding end circular arc tangential line angle a in two circular arc junctions2, grinding end circular arc and circular arc among intermediate circular arc intersection
Locate angle of contingence a3For
To sum up, emery wheel geometric parameter interface is shown according to the known emery wheel parameter being obtained and known parameters together, specifically
As shown in figure 4, it is used for following main algorithm.
Original shaping emery wheel groove profile determines and ajusts angle calculating
After grinding wheel spindle cross section profile, emery wheel pose determine, groove profile accordingly determines, the major parameter that groove profile calculates
Input includes the middle input shown in each emery wheel parameter and process interface below figure 5~6 as shown in Figure 3 of forming grinding wheel dimensional parameters
Cutter parameters, including cutter diameter toolD, core thickness diameter coreD, helical angle helixAgl, clearance angle gapAgl, offset
Prolong backL after prolonging rontL, grinding before offset, grinding.
Algorithm realizes process to model coordinate system shown in Fig. 7, and bar center is coordinate origin, bar central axis and Z axis
Overlap, by the parameters inputted above calculate wheel grinding end emery wheel center location (x, y, z) and emery wheel corner (B,
C)。
Entire algorithm is realized mainly in two sub-sections：First, wheel grinding end central coordinate of circle solves；Second is that sword string pendulum dextrorotation
Corner determines.
Wheel grinding end central coordinate of circle solves, and illustrates by taking three sections of circular arc molding emery wheels as an example, can be determined by known parameters
The minimum point coordinates of emery wheel is：
Emery wheel pivot angle B0For
B0=helixAgl+gapAgl (3)
By B0Can obtain the normal vector wheelnormalVect of emery wheel, (X-axis unit vector I turns B around Y-axis0Angle obtains), by
Emery wheel geometric parameter interface is passed to the center of circle of the relevant parameter calculating emery wheel two-dimensional coordinate system lower grinding wheel peak of algorithm medium plain emery wheel
Coordinate center, then the distance at apogee distance emery wheel edge is：
Emery wheel central coordinate of circle:
(x0,y0,z0)=corepoint+ (center (2)+R3)*J-r0Dir*wheelnormalVect*distance
(4)
Wherein I, J, K X, Y, Z axis unit vector, emery wheel uses parameter of that one end as grinding end to r0Dir in order to control；
Through determining, emery wheel central coordinate of circle (x0,y0,z0) and emery wheel pivot angle (B0, 0) and it must ask, so as to which drill bit groove profile determines,
Drill bit groove profile is emery wheel in (x0,y0,z0,B0, 0) and interfere what bar was formed under pose；In order to allow other of drill bit groove profile and drill bit
Process week, sword start position was consistent, it is necessary to the point of contact at all sword starting point Z=0 of drill bit fluting is ajusted as Figure 8-9, ajusted
Afterwards just in Y-axis, Z axis need to rotate a corner C at this time0, calculate C0Process be just to determine the mistake of sword string pendulum dextrorotation corner
Journey；
Since the wheel grinding end circular arc of forming grinding wheel is bigger than the abrasive wheel grinding wheel arc of plain wheel, emery wheel is contacted with bar at this time
Point of contact tangentpoint points position specifically that position of emery wheel it is bad determine, it is possible to forming grinding wheel be ground end emery wheel
May also be on grinding end circular arc on round end face, in order to determine tangentpoint coordinates, the computational methods taken are, along
Emery wheel is axial to be divided into several emery wheel sections circles according to grinding wheel thickness by emery wheel, due to B0The folder of wheel face and cutter shaft is determined
Angle, so that it is determined that emery wheel circular section cut bar cut type, section shape has two situations, for straight line, non-straight trough situation is ellipse during straight trough,
Seek the wide widradius of current emery wheeliLocate the beeline distance that type is cut in emery wheel section to bariWith intersection point pointi1,
pointi2；Wherein, there are two intersection points, according to the left cut of Tool in Cutting direction or right cut intersection point point selected to usei；Use this
Distance makes the difference with current thickness grinding wheel radius, difference smallest point and the point of contact as required less than the correspondence intersection point of specification error
Tangentpoint, the point of contact being obtained at this time not necessarily modeling coordinate system XOY plane on,
When point of contact is on XOY plane,
When point of contact is not on modeling coordinate system XOY plane, according to point of contact in the above-listed equation group of sword line, spatial point is revolved about the z axis
Turn θ angle formulas：
Parametric equation behind θ angles is turned by the sword line of Y-axis：
Wherein,θ directions are judged by the right-hand rule, and C is being turned over by point of contact tangentpoint0Sword afterwards
On line, there is equation group
f(C0, tangentpoint (3)) and-tangentpoint=0 (7)
Solving equations (7) obtain C0；
Emery wheel turns C0It ajusts, then bar turns-C0It ajusts, then the initial pose of emery wheel is obtained by (4).
(x, y, z, B, C)=(x0,y0,z0,B0,-C0) (9)
Trajectory planning
After initial pose determines, tracing point is pressed into sword line helix discrete processes according to cutting edge length.
The long cutedgeLen of cutting edge, discrete point number n, every section of stepsize formula：
Helical pitch calculation formula：
Extend corresponding C angles C forwardfront=frontL/helixLgh*2*pi, i-th point of corresponding bar Shaft angle Ci：
The output trajectory point such as table 1 after trajectory planning, with N generations after lathe postpositive disposal cell processing after trajectory planning
Code form is shown in software interface, and processing effect is as shown in figs. 10-11 so that plane is bored as an example.
1 output trajectory point of table
The foregoing is only a preferred embodiment of the present invention, but protection scope of the present invention be not limited thereto,
Any one skilled in the art in the technical scope of present disclosure, technique according to the invention scheme and its
Inventive concept is subject to equivalent substitution or change, should be covered by the protection scope of the present invention.
Claims (3)
- A kind of 1. method using a variety of forming grinding wheel processing drill groove profiles, which is characterized in that including step：S1, determine emery wheel to be processed, and determined with parametric form；The emery wheel to be processed be divided into two sections of circular arc molding emery wheels, two sections of circular arcs, one section of straight line forming grinding wheel, three sections of circular arcs into Abrasive wheel, three types grinding wheel profile are determined by corresponding emery wheel shaft section profile parameter；S2, original shaping emery wheel groove profile determine and ajust angle calculatingEmery wheel pose refers to spatial position (x, y, z) and emery wheel pivot angle (B, C) of the emery wheel in coordinate system is modeled, wherein, emery wheel The round heart of emery wheel on grinding end face determines emery wheel spatial position (x, y, z)；Emery wheel pivot angle B angles refer to emery wheel around Y-axis corner, C angles Refer to emery wheel corner about the z axis；Groove profile calculate major parameter input, including cutter diameter toolD, core thickness diameter coreD, helical angle helixAgl, Prolong backL after prolonging rontL, grinding before clearance angle gapAgl, offset offset, grinding；Using bar center as coordinate origin, bar central axis is overlapped with Z axis, Y-axis straight up, X-axis level to the right, Z-direction It is determined by the right-hand rule, establishes modeling coordinate system, calculate wheel grinding end emery wheel center location (x, y, z) and emery wheel corner (B,C)；S3, trajectory planningTracing point is pressed into sword line helix discrete processes according to cutting edge length；The long cutedgeLen of cutting edge, discrete point number n, every section of step-lengthHelical pitchI-th point of corresponding bar Shaft angle Ci,It is advised by track Output trajectory point pose, is shown, digital control system after lathe postpositive disposal cell processing in the form of NC in software interface after drawing Bar is processed by this track.
- 2. the method for a variety of forming grinding wheel processing drill groove profiles is used according to claim 1, which is characterized in that in step S1 Forming grinding wheel, parametrization include：For two sections of circular arc molding emery wheels, profile parameter has：It is ground end arc radius R1, non-grinding end arc radius R2, grinding end Circular arc width A, two circular arc junctions grinding end circular arc tangential line angle c, the non-grinding end circular arc tangential line angle a in two circular arc junctions, emery wheel Diameter D, grinding wheel width E；For two sections of one straight line forming grinding wheels of circular arc, profile parameter has：It is ground end arc radius R1, intermediate arc radius R2, two circle Arc junction is ground end circular arc tangential line angle a1, circular arc angle of contingence a among two circular arc junctions2, cut at circular arc straight line intersection straight line Line angle a3, grinding end circular arc width A1, intermediate circular arc width A2, grinding wheel width E, grinding wheel diameter D；For three sections of circular arc molding emery wheels, profile parameter has：It is ground end arc radius R1, non-grinding end arc radius R2, middle circle Arc radius R3, grinding end circular arc width A1, non-grinding end circular arc width A2, two circular arc junctions grinding end circular arc tangential line angle a1, two The non-grinding end circular arc tangential line angle a in circular arc junction2, grinding end circular arc and circular arc angle of contingence a among intermediate circular arc intersection3, mill Cut end circular arc and intermediate circular arc intersection diameter D1, non-grinding end circular arc and intermediate circular arc intersection diameter D2, grinding wheel width E, sand Take turns highest spot diameter D；Emery wheel shaft section profile two-dimensional coordinate system is established, pole wheel direction is X-axis, and positive direction is directed toward grinding end, vertical pole wheel Y-axis is reversed, positive direction is upward, and coordinate origin is established on pole wheel on central shaft and in grinding wheel width midpoint, by being ground Circle where the circular arc of end intersects to obtain the intermediate circular arc center of circle with circle where non-grinding end circular arc, and there are two Y-components smaller one for intersection point A is intermediate circular arc center of circle center；For two sections of circular arcs, two sections of one straight line forming grinding wheels of circular arc, center=(0,0).
- 3. the method for a variety of forming grinding wheel processing drill slots is used according to claim 1, it is characterised in that in step S2, root Initial emery wheel pose is can determine according to forming grinding wheel interface parameter and fluting interface parameter and ajusts angle, and step includes：S21, wheel grinding end central coordinate of circle：Corepoint=(- offset, coreD/2,0) (2)Emery wheel pivot angle B0ForB0=helixAgl+gapAgl (3)By B0Can obtain the normal vector wheelnormalVect of emery wheel, (X-axis unit vector I turns B around Y-axis0Angle obtains), by emery wheel Geometric parameter interface is passed to the central coordinate of circle of the relevant parameter calculating emery wheel two-dimensional coordinate system lower grinding wheel peak of algorithm medium plain emery wheel Center, then the distance at apogee distance emery wheel edge is：Two sections of circular arc molding emery wheel distanceL=ATwo sections of one straight line forming grinding wheel distanceL=A of circular arc1Emery wheel central coordinate of circle:Three sections of circular arc molding emery wheels(x0,y0,z0)=corepoint+ (center (2)+R3)*J-r0Dir*wheelnormalVect*distanceTwo sections of circular arc molding emery wheels, two sections of one straight line forming grinding wheels of circular arc(x0,y0,z0)=corepoint+D*J-r0Dir*wheelnormalVect*distance (4)Wherein I, J, K X, Y, Z axis unit vector, emery wheel uses parameter of that one end as grinding end to r0Dir in order to control；Through above-mentioned calculating, emery wheel central coordinate of circle (x0,y0,z0) and emery wheel pivot angle (B0, 0) and it must ask, so as to which drill bit groove profile determines, drill bit Groove profile is emery wheel in (x0,y0,z0,B0, 0) and interfere what bar was formed under pose；In order to allow the other processes of drill bit groove profile and drill bit All sword start positions are consistent, it is necessary to the point of contact at all sword starting point Z=0 of drill bit fluting is ajusted, after ajusting just in Y-axis, Z axis need to rotate a corner C at this time0, calculate C0Process be just to determine the process of sword string pendulum dextrorotation corner；Since the wheel grinding end circular arc of forming grinding wheel is bigger than the abrasive wheel grinding wheel arc of plain wheel, what emery wheel was contacted with bar at this time cuts Point tangentpoint points position be possible forming grinding wheel be ground end emery wheel circle end face on may also grinding end circular arc on, In order to determine tangentpoint coordinates, the computational methods taken are to be divided into emery wheel according to grinding wheel thickness along emery wheel is axial Several emery wheel section circles, due to B0The angle of wheel face and cutter shaft is determined, so that it is determined that cutting for bar is cut in emery wheel circular section Type, section shape have two situations, for straight line, non-straight trough situation are ellipse during straight trough, seek the wide widradius of current emery wheeliLocate emery wheel to cut The beeline distance of type is cut in face to bariWith intersection point pointi1,pointi2；Wherein, there are two intersection points, cut according to cutter Cut direction left cut or right cut intersection point point selected to usei；It is made the difference with this distance and current thickness grinding wheel radius, difference is most Dot and the point of contact tangentpoint for being less than the correspondence intersection point as requirement of specification error, the point of contact being obtained at this time not necessarily exists It models on coordinate system XOY plane,When point of contact is on XOY plane,<mrow> <msub> <mi>C</mi> <mn>0</mn> </msub> <mo>=</mo> <mi>a</mi> <mi>r</mi> <mi>c</mi> <mi>t</mi> <mi>a</mi> <mi>n</mi> <mrow> <mo>(</mo> <mfrac> <mrow> <mi>tan</mi> <mi>g</mi> <mi>e</mi> <mi>n</mi> <mi>t</mi> <mi>p</mi> <mi>o</mi> <mi>int</mi> <mrow> <mo>(</mo> <mn>1</mn> <mo>)</mo> </mrow> </mrow> <mrow> <mi>tan</mi> <mi>g</mi> <mi>e</mi> <mi>n</mi> <mi>t</mi> <mi>p</mi> <mi>o</mi> <mi>int</mi> <mrow> <mo>(</mo> <mn>2</mn> <mo>)</mo> </mrow> </mrow> </mfrac> <mo>)</mo> </mrow> <mo>,</mo> </mrow>When point of contact is not on modeling coordinate system XOY plane, according to point of contact in the above-listed equation group of sword line, spatial point rotates θ angles about the z axis Formula：<mrow> <mi>r</mi> <mi>o</mi> <mi>t</mi> <mrow> <mo>(</mo> <mi>&theta;</mi> <mo>,</mo> <mi>K</mi> <mo>)</mo> </mrow> <mo>=</mo> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <mrow> <mi>c</mi> <mi>o</mi> <mi>s</mi> <mrow> <mo>(</mo> <mi>&theta;</mi> <mo>)</mo> </mrow> </mrow> </mtd> <mtd> <mrow> <mo>-</mo> <mi>s</mi> <mi>i</mi> <mi>n</mi> <mrow> <mo>(</mo> <mi>&theta;</mi> <mo>)</mo> </mrow> </mrow> </mtd> <mtd> <mn>0</mn> </mtd> </mtr> <mtr> <mtd> <mrow> <mi>s</mi> <mi>i</mi> <mi>n</mi> <mrow> <mo>(</mo> <mi>&theta;</mi> <mo>)</mo> </mrow> </mrow> </mtd> <mtd> <mrow> <mi>cos</mi> <mrow> <mo>(</mo> <mi>&theta;</mi> <mo>)</mo> </mrow> </mrow> </mtd> <mtd> <mn>0</mn> </mtd> </mtr> <mtr> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>1</mn> </mtd> </mtr> </mtable> </mfenced> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>5</mn> <mo>)</mo> </mrow> </mrow>Parametric equation behind θ angles is turned by the sword line of Y-axis：<mrow> <mi>f</mi> <mrow> <mo>(</mo> <mi>&theta;</mi> <mo>,</mo> <mi>z</mi> <mo>)</mo> </mrow> <mo>=</mo> <mi>r</mi> <mi>o</mi> <mi>t</mi> <mrow> <mo>(</mo> <mi>&theta;</mi> <mo>,</mo> <mi>K</mi> <mo>)</mo> </mrow> <mo>*</mo> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <mrow> <mi>t</mi> <mi>o</mi> <mi>o</mi> <mi>l</mi> <mi>R</mi> <mo>*</mo> <mi>s</mi> <mi>i</mi> <mi>n</mi> <mrow> <mo>(</mo> <mi>z</mi> <mo>*</mo> <mi>t</mi> <mi>a</mi> <mi>n</mi> <mo>(</mo> <mfrac> <mrow> <mi>h</mi> <mi>e</mi> <mi>l</mi> <mi>i</mi> <mi>x</mi> <mi>A</mi> <mi>g</mi> <mi>l</mi> </mrow> <mrow> <mi>t</mi> <mi>o</mi> <mi>o</mi> <mi>l</mi> <mi>R</mi> </mrow> </mfrac> <mo>)</mo> </mrow> <mo>)</mo> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mi>t</mi> <mi>o</mi> <mi>o</mi> <mi>l</mi> <mi>R</mi> <mo>*</mo> <mi>c</mi> <mi>o</mi> <mi>s</mi> <mrow> <mo>(</mo> <mi>z</mi> <mo>*</mo> <mi>tan</mi> <mo>(</mo> <mfrac> <mrow> <mi>h</mi> <mi>e</mi> <mi>l</mi> <mi>i</mi> <mi>x</mi> <mi>A</mi> <mi>g</mi> <mi>l</mi> </mrow> <mrow> <mi>t</mi> <mi>o</mi> <mi>o</mi> <mi>l</mi> <mi>R</mi> </mrow> </mfrac> <mo>)</mo> </mrow> <mo>)</mo> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mo>-</mo> <mi>z</mi> </mrow> </mtd> </mtr> </mtable> </mfenced> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>6</mn> <mo>)</mo> </mrow> </mrow>Wherein,θ directions are judged by the right-hand rule, and C is being turned over by point of contact tangentpoint0Sword line afterwards On, there is equation groupf(C0, tangentpoint (3)) and-tangentpoint=0 (7)Solving equations (7) obtain C0；<mrow> <msub> <mi>C</mi> <mn>0</mn> </msub> <mo>=</mo> <mfrac> <mrow> <mi>t</mi> <mi>o</mi> <mi>o</mi> <mi>l</mi> <mi>R</mi> <mo>*</mo> <mi>a</mi> <mi>r</mi> <mi>c</mi> <mi>t</mi> <mi>a</mi> <mi>n</mi> <mrow> <mo>(</mo> <mfrac> <mrow> <mi>tan</mi> <mi>g</mi> <mi>e</mi> <mi>n</mi> <mi>t</mi> <mi>p</mi> <mi>o</mi> <mi>int</mi> <mrow> <mo>(</mo> <mn>1</mn> <mo>)</mo> </mrow> </mrow> <mrow> <mi>t</mi> <mi>o</mi> <mi>o</mi> <mi>l</mi> <mi>R</mi> </mrow> </mfrac> <mo>)</mo> </mrow> <mo>-</mo> <mi>tan</mi> <mi>g</mi> <mi>e</mi> <mi>n</mi> <mi>t</mi> <mi>p</mi> <mi>o</mi> <mi>int</mi> <mrow> <mo>(</mo> <mn>3</mn> <mo>)</mo> </mrow> <mo>*</mo> <mi>t</mi> <mi>a</mi> <mi>n</mi> <mrow> <mo>(</mo> <mi>h</mi> <mi>e</mi> <mi>l</mi> <mi>i</mi> <mi>x</mi> <mi>A</mi> <mi>g</mi> <mi>l</mi> <mo>)</mo> </mrow> </mrow> <mrow> <mi>t</mi> <mi>o</mi> <mi>o</mi> <mi>l</mi> <mi>R</mi> </mrow> </mfrac> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>8</mn> <mo>)</mo> </mrow> </mrow>Emery wheel turns C0It ajusts, then bar turns-C0It ajusts, then the initial pose of emery wheel is obtained by (4)；(x, y, z, B, C)=(x0,y0,z0,B0,-C0) (9)。
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