CN107145126B - Consider the numerical control machining knife rail subregion mapping method of error band distribution - Google Patents
Consider the numerical control machining knife rail subregion mapping method of error band distribution Download PDFInfo
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- CN107145126B CN107145126B CN201710515065.3A CN201710515065A CN107145126B CN 107145126 B CN107145126 B CN 107145126B CN 201710515065 A CN201710515065 A CN 201710515065A CN 107145126 B CN107145126 B CN 107145126B
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- G—PHYSICS
- G05—CONTROLLING; REGULATING
- G05B—CONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
- G05B19/00—Programme-control systems
- G05B19/02—Programme-control systems electric
- G05B19/18—Numerical control [NC], i.e. automatically operating machines, in particular machine tools, e.g. in a manufacturing environment, so as to execute positioning, movement or co-ordinated operations by means of programme data in numerical form
- G05B19/19—Numerical control [NC], i.e. automatically operating machines, in particular machine tools, e.g. in a manufacturing environment, so as to execute positioning, movement or co-ordinated operations by means of programme data in numerical form characterised by positioning or contouring control systems, e.g. to control position from one programmed point to another or to control movement along a programmed continuous path
Abstract
The invention discloses a kind of numerical control machining knife rail subregion mapping method for considering error band distribution.This method is first according to workpiece theory face generative theory knife rail, the actual face of workpiece is faced than obtaining back propagation net with theoretical again, then region division is carried out to actual face according to back propagation net, theoretical knife rail is finally mapped to by completion knife rail mapping process on the actual face of workpiece according to the corresponding knife rail mapping method of regional choice of the division result for different error patterns.The present invention realizes the process for selecting each region knife rail mapping method respectively according to the actual surface error categories subarea result of workpiece, so as to use a variety of knife rail mapping methods in the mapping of the knife rail in workpiece actual face, the advantages of taking full advantage of various knife rail mapping methods, it ensure that the efficiency and quality of knife rail mapping.
Description
Technical field
The present invention relates to a kind of knife rail mapping method, it is especially a kind of during by the actual face processing of workpiece according to work
The different error distribution pattern in the actual face of part selects different knife rail mapping methods so as to ensure knife rail mapping efficiency and quality
Method, specifically a kind of numerical control machining knife rail subregion mapping method for considering error band distribution.
Background technology
In Product processing, the factor such as process equipment, processing technology, material property can cause workpiece to deform, for all
For such as aircraft skin, rocket wallboard, engine blade thin-wall workpiece, deformation causes theoretical face and the generation of actual face larger partially
Difference, now if carrying out following process according further to theoretical face, it can cross and cut or owe to cut, so needing to recalculate according to actual face
Actual knife rail, it is processed further according to actual knife rail, knife rail time length of reruning, during which lathe can not carry out any production activity,
Have a strong impact on lathe production capacity.
The mapping of knife rail is that the geometrical feature based on workpiece true form quickly generates actual knife rail by foundation of theoretical knife rail
Method.At present mainly have knife rail projection, etc. arc length mapping, etc. parameter mapping etc. knife rail mapping method, they respectively have advantage and disadvantage.
Knife rail projects convenience and high-efficiency, but can not ensure actual cutter location after projection when the actual face of workpiece and theoretical face are deviateed farther out
Positional precision, or even the theoretical cutter location of workpiece theory face boundary can not be projected on actual face；Etc. the knife rail of arc length mapping
Mapping method can ensure that actual cutter location position is accurate enough after mapping when the actual face of workpiece and theoretical face are deviateed farther out, still
Mapping algorithm is complicated, efficiency is low and in the regional area that workpiece is plastically deformed because arc length has changed, this side
Method does not apply to；Knife rail mapping method etc. parameter mapping can both ensure that the location accuracy of actual cutter location after mapping was also suitable
In the regional area that workpiece is plastically deformed but accurate boundary information is needed, and border is believed during detecting actual face
Breath is difficult accurate acquisition, so waiting parameter mapping not to be suitable for using on whole Zhang Shiji faces.Traditional knife rail mapping is for whole
The individual actual face of workpiece only uses a kind of knife rail mapping method, and often error distortions situation is different for the actual face of workpiece and theoretical face,
The single knife rail mapping method of tradition can not guaranteed efficiency and quality.
For problem above, this patent proposes a kind of numerical control machining knife rail subregion mapping side for considering error band distribution
Method, this method combine the single knife rail mapping method of multiple tradition, first according to the actual face difference error class of workpiece
The regional allocations feature zoning of type, further according to division result for the different knife rail of the regional choice of different error patterns
Theoretical knife rail is mapped on the actual face of workpiece and completes the mapping of knife rail by mapping method, takes full advantage of various knife rail mapping methods
Advantage, it ensure that the efficiency and quality of knife rail mapping.
The content of the invention
The purpose of the present invention is to be directed to that by existing knife rail mapping method in the actual face processing of workpiece workpiece reality can not be tackled
The problem of interphase and different theoretical surface error situation, invent a kind of numerical control machining knife rail subregion for considering error band distribution and reflect
Shooting method, it can be according to the regional allocations feature zoning of the actual face difference error pattern of workpiece, further according to division result
For the different knife rail mapping method of different regional choices so as to ensure the method for knife rail mapping efficiency and quality simultaneously.
The technical scheme is that：
A kind of numerical control machining knife rail subregion mapping method for considering error band distribution, it is characterised in that first according to work
Part theory face generative theory knife rail simultaneously therefrom extracts theoretical cutter location, then actual face is faced than obtaining on actual face not with theoretical
With the regional allocations feature of error pattern, region division is then carried out to actual face according to the regional allocations feature, obtained
Corresponding to the error band of different error patterns, there is uniform error region：Error is in the range of ± δ in the actual face region of workpiece, δ
It is empirically determined by technologist；Gradient error region：Error exceedes ± δ scopes and towards the region in the actual face region of workpiece
Border constantly accelerates to increase, and maximum is reached at zone boundary, shows as warpage of the actual face in this boundary；And office
Portion's error band：Error of the actual face of workpiece in a certain region, which exceedes ± δ scopes and a little constantly slowed down to region inside, to be increased
Greatly, finally somewhere reaches the local error maximum in the region in region, shows as this region on actual face and swells to be formed
Convex closure collapses and to form pit.For uniform error region using the method for projection, for arc length such as gradient error region uses
The method of mapping, the method for the parameter mapping such as local error region use, the theoretical cutter location on workpiece theory face is reflected
It is mapped on the actual face of workpiece so as to the conversion of realization theory knife rail to actual knife rail, completes the mapping of knife rail.
The described method for the arc length mapping such as gradient error region use, it is characterised in that use in knife rail file two
Individual anchor point J1And J2Line L1The reference line of the arc length such as structure mapping, geometrical relationship is established further according to this reference line
Solve actual cutter location.Anchor point J1And J2The two of two datum marks during processing, theoretical face and actual face are designed for workpiece
Point is to overlap, so by L1As etc. arc length mapping benchmark.Etc. concretely comprising the following steps for arc length mapping：
Step 1: two anchor point J of connection1And J2Obtain a reference line L in space1。
Step 2: set PtIt is a theoretical cutter location, builds with straight line L1Sweared for method and cross point PtPlane T1。
Step 3: by L1Respectively Liang Tiao drop shadow curves D is projected to obtain to theoretical face and actual face1And D2, curve D1And D2Respectively
Hand over plane T1In CtAnd Cr。
Step 4: measure CtAnd PtThe arc length of line is S on theoretical face1, with C on actual facerFor starting point, in plane T1
With determination point P on the intersection in actual facerSo that CrTo PrThe arc length of line is also equal to S1。
Step 5: successive ignition said process is until all theoretical cutter locations all map in gradient error region.
In addition, when gradient error region envelope local error region formed annular region when, it is necessary to first contrast theoretical face and
Actual face obtains gradient error and local error boundary, then according to the situation in local error region to the gradient error area
Domain carries out subzone again and the arc length such as carries out using respective new benchmark in different subregions mapping, and these benchmark are by initial
Anchor point line benchmark translation obtain.Local error region such as can influence at the implementation of arc length mapping, so needing according to office
The position of portion's error band by gradient error region again subzone and using respective benchmark to avoid local error region band
The influence come.And uniform error region is without the implementation of the arc length such as influence mapping.
The described method for the parameter mapping such as local error region use, it is characterised in that in theoretical face STIn find
Corresponding to the subsurface S in local error regionTOM, theoretical cutter location is obtained in subsurface STOMOn u, to parameter, be designated as to v
UpAnd Vp, equally in actual face SRIn find subsurface S corresponding to the local error regionROM, in SROMOn take u to v to ginseng
Number is UpAnd VpPoint be actual cutter location Pr, successive ignition said process is up to all theoretical cutter spacing in local error region
Point all mappings.In addition, when local error band envelope is in uniform error region, local error region and is obtained first
The border of even error band, then the parameter mapping such as use in local error region respectively, using throwing in uniform error region
Shadow；When local error band envelope is in gradient error region, local error region and gradient error region are first obtained
Border, the parameter mapping such as then still use in local error region, and now in gradient error region etc. arc length reflect
Penetrating needs appropriate translation references line to carry out.
The beneficial effects of the invention are as follows：
1st, the knife rail mapping method that the present invention uses is compared with knife rail is recalculated, and speed greatly improves, can be efficiently complete
Mapping process into theoretical knife rail to actual knife rail.
2nd, the knife rail subregion mapping method that the present invention the uses knife rail mapping method single with tradition is compared, and is taken full advantage of
The advantages of various knife rail mapping methods, its shortcoming is avoided, can be when tackling the actual face of workpiece and theoretical face complex deformation situation
Still ensure the efficiency and quality of knife rail mapping.
Brief description of the drawings
Fig. 1 is the numerical control machining knife rail subregion mapping method flow chart for considering error band distribution of the present invention.
Fig. 2 is the example workpiece error band distribution results schematic diagram applied of the present invention, S in figureRIt is actual face, ST
It is theoretical face.L and D is the size of this workpiece in the two directions.In SRUpper n1First gradient error region is represented, j is represented
Uniform error region, n2Second gradient error region is represented, m represents local error region.
Fig. 3 is the processing knife rail file map of example workpiece, is all often a cutter location behind a line GOTO in figure, each
Cutter location X under work pieces process coordinate system by it, Y, Z coordinate value and generating tool axis vector form.
Fig. 4 for etc. arc length map overall schematic, wherein SRIt is actual face, STIt is theoretical face, J1And J2It is two positioning
Point, PtIt is theoretical cutter location, PrIt is actual cutter location.Connect J1And J2Obtain a reference line L in space1, build with L1
Sweared for method and cross PtPlane T1, then by L1Respectively Liang Tiao drop shadow curves D is projected to obtain to theoretical face and actual face1And D2, curve
D1And D2Plane T is handed over respectively1In CtAnd Cr, measure CtAnd PtThe arc length of line is S on theoretical face1, with C on actual facerTo rise
Point, in plane T1With actual cutter location P is determined on the intersection in actual facerSo that CrTo PrThe arc length of line is also equal to S1。
Fig. 5 for etc. arc length map partial enlarged drawing, wherein J1And J2It is two anchor points, PtIt is theoretical cutter location, PrIt is real
Border cutter location.Connect J1And J2Obtain a reference line L in space1, build with L1Sweared for method and cross PtPlane T1, then
By L1Respectively Liang Tiao drop shadow curves D is projected to obtain to theoretical face and actual face1And D2, curve D1And D2Plane T is handed over respectively1In CtAnd Cr,
Measure CtAnd PtThe arc length of line is S on theoretical face1, with C on actual facerFor starting point, in plane T1With the intersection in actual face
It is upper to determine actual cutter location PrSo that CrTo PrThe arc length of line is also equal to S1。
Fig. 6 for etc. parameter mapping principle schematic diagram, S in figureTIt is theoretical face, STOMIt is to correspond to local error on theoretical face
The sub- face in region, SRIt is actual face, SROMIt is the sub- face for corresponding to local error region on actual face.U and V represents sub- song respectively
Two parametric directions in face, PtIt is theoretical cutter location, UpAnd VpIt is PtIn STOMOn Surface Parameters, in SROMOn find out U, V parameter
It is also equal to UpAnd VpPoint be actual cutter location Pr。
The schematic diagram that knife rail maps when Fig. 7 is gradient error region envelope local error region, wherein STIt is theoretical face,
STOMIt is STThe upper sub- face corresponding to local error region, U and V represent two parametric directions in sub- face respectively, and m is local error
Region, n are gradient error regions, PtmIt is STOMOn a theoretical cutter location, PtnIt is a theory in gradient error region
Cutter location, UpAnd VpIt is PtmIn STOMOn Surface Parameters；SRIt is actual face, SROMIt is SRThe upper son corresponding to local error region
Face, PrmIt is an actual cutter location in local error region, PrnIt is an actual cutter location in gradient error region, UpWith
VpAnd PrmIn SROMOn Surface Parameters.
The schematic diagram of arc length mapping, the wherein S such as when Fig. 8 is gradient error region envelope local error regionTIt is theoretical face,
J1And J2It is two anchor points of workpiece, L1For J1And J2The straight line connected, n are gradient error regions, PtnIt is gradient error area
A cutter location in domain, m are local error regions, b1For m and L1Nearest point of contact, b2For m and L1Farthest point of contact, r1It is L1
One dash area region of top, r2And r3It is L1Two pieces of dash area regions of lower section.Lm1It is by L1Move to and just cross b2
New reference line.
The schematic diagram that knife rail maps when Fig. 9 is uniform error region envelope local error region, S in figureTIt is theoretical face, SR
It is actual face, STOMIt is corresponding to the sub- face in local error region, S on theoretical faceROMIt is to correspond to local error area on actual face
The sub- face in domain.U and V represents two parametric directions of subsurface respectively, and m represents local error region, PtmIt is STOMAn interior reason
By cutter location, UpAnd VpIt is PtmIn STOMOn Surface Parameters, PrmIt is SROMAn interior actual cutter location, it is in SROMOn song
Face parameter is also UpAnd Vp, PrmBy PtmMap to obtain etc. parameter, j represents uniform error region, PtjIt is uniform error on theoretical face
A theoretical cutter location in region, PrjIt is the actual cutter location in uniform error region on actual face, it is by PtjThrown to actual face
Shadow obtains.
Embodiment
With reference to the accompanying drawings and detailed description and example components the invention will be further described：
A kind of numerical control machining knife rail subregion mapping method for considering error band distribution, as shown in figure 1, it is including following
Step：
First, extract according to workpiece theory face generative theory knife rail and therefrom theoretical cutter location, then by actual face with it is theoretical
In face of than obtaining the regional allocations feature of different error patterns on actual face,
Secondly, region division is carried out to actual face according to regional allocations feature, obtained corresponding to different error patterns
Error band：
There is uniform error region：For error in the range of ± δ, δ is rule of thumb true by technologist in the actual face region of workpiece
It is fixed；
Gradient error region：Error exceedes ± δ scopes and constantly accelerates to increase towards the zone boundary in the actual face region of workpiece
Greatly, maximum is reached at zone boundary, shows as warpage of the actual face in this boundary；
Local error region：Error of the actual face of workpiece in a certain region exceed ± δ scopes and to region inside a bit
Constantly slow down and increase, finally somewhere reaches the local error maximum in the region in region, shows as this area on actual face
Swell to form convex closure or collapse to form pit in domain；
Finally, for uniform error region using the method for projection, for the arc length mapping such as gradient error region use
Method, the method for the parameter mapping such as local error region use, work is mapped to by the theoretical cutter location on workpiece theory face
So as to the conversion of realization theory knife rail to actual knife rail on the actual face of part, the mapping of knife rail is completed.
Wherein：For gradient error region using etc. arc length mapping method when use knife rail file in two anchor point J1
And J2Line L1The reference line of the arc length such as structure mapping, establish geometrical relationship further according to this reference line and solve actual knife
Site.Anchor point J1And J2Two datum marks during processing are designed for workpiece, the two points in theoretical face and actual face are to overlap
, so by L1As etc. arc length mapping benchmark.Etc. concretely comprising the following steps for arc length mapping：
Step 1: two anchor point J of connection1And J2Obtain a reference line L in space1。
Step 2: set PtIt is a theoretical cutter location, builds with straight line L1Sweared for method and cross point PtPlane T1。
Step 3: by L1Respectively Liang Tiao drop shadow curves D is projected to obtain to theoretical face and actual face1And D2, curve D1And D2Respectively
Hand over plane T1In CtAnd Cr。
Step 4: measure CtAnd PtThe arc length of line is S on theoretical face1, with C on actual facerFor starting point, in plane T1
With determination point P on the intersection in actual facerSo that CrTo PrThe arc length of line is also equal to S1。
Step 5: successive ignition said process is until all theoretical cutter locations all map in gradient error region.
In addition, when gradient error region envelope local error region formed annular region when, it is necessary to first contrast theoretical face and
Actual face obtains gradient error and local error boundary, then according to the situation in local error region to the gradient error area
Domain carries out subzone again and the arc length such as carries out using respective new benchmark in different subregions mapping, and these benchmark are by initial
Anchor point line benchmark translation obtain.Local error region such as can influence at the implementation of arc length mapping, so needing according to office
The position of portion's error band by gradient error region again subzone and using respective benchmark to avoid local error region band
The influence come.And uniform error region is without the implementation of the arc length such as influence mapping.
For local error region using etc. parameter mapping method when can be in theoretical face STIn find corresponding to it is local by mistake
The subsurface S in poor regionTOM, theoretical cutter location is obtained in subsurface STOMOn u, to parameter, be designated as U to vpAnd Vp, equally exist
Actual face SRIn find subsurface S corresponding to the local error regionROM, in SROMOn take u to v to parameter be UpAnd Vp's
Point is actual cutter location Pr, successive ignition said process is until all theoretical cutter locations all map in local error region.
In addition, when local error band envelope is in uniform error region, local error region and uniform error region are obtained first
Border, then the parameter mapping such as use in local error region respectively, projection used in uniform error region；Authorities
When portion's error band envelope is in gradient error region, the border in local error region and gradient error region is first obtained, then
The parameter mapping such as still use in local error region, and now in gradient error region etc. arc length mapping need it is appropriate flat
Moving datum line could be carried out.
Details are as follows：
As shown in Fig. 2 this is an aircraft skin workpiece, its size is 4000mm × 2000mm.Workpiece exact shape and
Theoretical profile has obvious deviation, and lower edges are there occurs obvious warpage, the numerical control being now distributed using error band is considered
Theoretical knife rail on theoretical face is mapped on the actual face of workpiece by processing knife rail subregion mapping method generates actual knife rail.Specific step
It is rapid as follows：
Step 1: extract all theoretical cutter locations of the covering theory knife rail.
Obtain the covering theory knife rail file and open this document, as shown in Figure 3, every a line containing GOTO represents
One cutter location, 6 numerical value below are respectively X of the cutter location under Cutter coordinate system, Y, Z coordinate and generating tool axis vector,
Extract all theoretical cutter locations of the covering workpiece.Through statistics, the covering workpiece one shares 39720 cutter locations, chooses wherein
Continuous 12 theoretical cutter locations show such as following table：
Step 2: the covering workpiece theory face and reality are faced than and according to error distribution situation subregion.
Theoretical face is faced than obtaining the regional allocations feature of different error patterns on actual face from actual, then basis
The regional allocations feature carries out region division to actual face, obtains the error band corresponding to different error patterns.Such as accompanying drawing 2
Shown, the actual face of the covering workpiece marks off 4 error bands, respectively two gradient error regions altogether, uses n1And n2Come
Represent；One uniform error region, is represented with j；One local error region, is represented with m.
39720 theoretical cutter locations are classified according to this error pattern division result, identified with area code, area here
Number there is n1、n2, j and m represent four regions respectively.In 12 shown in previous step theoretical cutter location classification results such as following tables：
It can be found that 12 theoretical cutter locations of previous step displaying are just at first gradient error region from result
With the boundary in uniform error region.
Step 3: knife rail mapping is carried out to the respective knife rail mapping method of each regional choice.
To being identified as n1、n2Gradient error region theoretical cutter location using etc. arc length mapping method, to being identified as j
Uniform error region theoretical cutter location using projection method, the theoretical cutter location in the local error region to being identified as m
Using etc. parameter mapping method, 39720 theoretical cutter locations, which are mapped on actual face, turns into actual cutter location.
To n1Each theoretical cutter location in region such as carries out at the arc length mapping, as shown in figures 4 and 5：SRIt is actual
Face, STIt is theoretical face, J1And J2It is two anchor points, PtIt is theoretical cutter location.Connect J1And J2Obtain a benchmark in space
Straight line L1, build with L1Sweared for method and cross PtPlane T1, then by L1Respectively two projections are projected to obtain to theoretical face and actual face
Curve D1And D2, curve D1And D2Plane T is handed over respectively1In CtAnd Cr, measure CtAnd PtThe arc length of line is S on theoretical face1,
With C on actual facerFor starting point, in plane T1With actual cutter location P is determined on the intersection in actual facerSo that CrTo PrThe arc length of line
It is also equal to S1。
Due to n2Region envelope local error region m, so needing according to m positions situation to the gradient error area
Domain carries out subzone again and the arc length such as carries out using respective new benchmark in different subregions mapping.As shown in Figure 8：J1With
J2It is two anchor points of workpiece, L1For J1And J2The straight line connected is also initial baseline, and n is gradient error region, PtnIt is ladder
The theoretical cutter location spent in error band, m are local error regions, b1For m and L1Nearest point of contact, b2For m and L1Most
Remote point of contact, by L1Move to and just cross b2Obtain new benchmark Lm1, and use Lm1By whole n2Two regions are divided into, in corresponding diagram
R2And r3, for r2In theoretical cutter location use L1As etc. arc length mapping benchmark, for r3In theoretical cutter location use
Lm1As etc. arc length mapping benchmark, whole n is completed with this2Region etc. arc length mapping.
Each theoretical cutter location in j regions is projected to the actual face of workpiece, obtains actual cutter location.
The parameter mapping, as shown in Figure 6, S in figure such as carry out to each theoretical cutter location in m areaTIt is theoretical face,
STOMIt is corresponding to the sub- face in local error region, S on theoretical faceRIt is actual face, SROMIt is to correspond to local error on actual face
The sub- face in region.U and V represents two parametric directions of subsurface, P respectivelytIt is theoretical cutter location, obtains PtIn STOMOn curved surface
Parameter UpAnd Vp, in SROMU, V parameter is taken to be equal to UpAnd VpPoint be actual cutter location Pr。
12 theoretical cutter location mapping situation such as following tables shown in step 1：
Generate actual knife rail file and complete the mapping of knife rail, the knife rail mapping situation such as following table of final each error band：
Part that the present invention does not relate to is same as the prior art to be realized using prior art.
Claims (3)
1. a kind of numerical control machining knife rail subregion mapping method for considering error band distribution, is generated according to workpiece theory face first
Theoretical knife rail simultaneously therefrom extracts theoretical cutter location, then actual face is faced than obtaining different error patterns on actual face from theory
Regional allocations feature, region division is then carried out to actual face according to the regional allocations feature, obtains corresponding to different mistakes
The error band of poor type, there is uniform error region：Error is in the range of ± δ in the actual face region of workpiece, and δ is by technologist's root
According to empirically determined；Gradient error region：Error exceedes ± δ scopes and constantly accelerated towards the zone boundary in the actual face region of workpiece
Increase, maximum is reached at zone boundary, shows as warpage of the actual face in this boundary；And local error region：
Error of the actual face of workpiece in a certain region, which exceedes ± δ scopes and a little constantly slowed down to region inside, to be increased, finally in area
Somewhere reaches the local error maximum in the region in domain, shows as this region on actual face and swells to form convex closure, or collapses
Form pit；Finally, the theoretical cutter location on workpiece theory face is mapped using different methods for different error bands
So as to the conversion of realization theory knife rail to actual knife rail on to the actual face of workpiece, the mapping of knife rail is completed：It is characterized in that for equal
Even error band using projection method, for gradient error region using etc. arc length mapping method, for local error area
The method of the parameter mapping such as domain use.
2. the numerical control machining knife rail subregion mapping method according to claim 1 for considering error band distribution, its feature
In for using two anchor point J in knife rail file during the method for the arc length mapping such as gradient error region use1And J2Line
L1The reference line of the arc length such as structure mapping, establish geometrical relationship further according to this reference line and solve actual cutter location；Positioning
Point J1And J2Two datum marks during processing are designed for workpiece, the two points in theoretical face and actual face are to overlap, so by L1
As etc. arc length mapping benchmark；Etc. concretely comprising the following steps for arc length mapping：
Step 1: two anchor point J of connection1And J2Obtain a reference line L in space1；
Step 2: set PtIt is a theoretical cutter location, builds with straight line L1Sweared for method and cross point PtPlane T1；
Step 3: by L1Respectively Liang Tiao drop shadow curves D is projected to obtain to theoretical face and actual face1And D2, curve D1And D2Hand over respectively flat
Face T1In CtAnd Cr；
Step 4: measure CtAnd PtThe arc length of line is S on theoretical face1, with C on actual facerFor starting point, in plane T1And reality
Point P is determined on the intersection of interphaserSo that CrTo PrThe arc length of line is also equal to S1；
Step 5: successive ignition said process is until all theoretical cutter locations all map in gradient error region；
In addition, when gradient error region envelope local error region forms annular region, it is necessary to first contrast theoretical face and reality
Face obtains gradient error and local error boundary, and then the gradient error region is entered according to the situation in local error region
Row subzone and the arc length such as carries out using respective new benchmark in different subregions and mapped again, and these new benchmark are by initial
The benchmark translation of anchor point line obtains；Local error region such as can influence at the implementation of arc length mapping, so needing according to part
The position of error band by gradient error region again subzone and using respective benchmark to avoid local error region from bringing
Influence；And uniform error region is without the implementation of the arc length such as influence mapping.
3. the numerical control machining knife rail subregion mapping method according to claim 1 for considering error band distribution, its feature
When being for parameter mapping methods such as local error region uses, in theoretical face STIn find corresponding to local error region
Subsurface STOM, theoretical cutter location is obtained in subsurface STOMOn u, to parameter, be designated as U to vpAnd Vp, equally in actual face SR
In find subsurface S corresponding to the local error regionROM, in SROMOn take u to v to parameter be UpAnd VpPoint be real
Border cutter location Pr, successive ignition said process is until all theoretical cutter locations all map in local error region；In addition, authorities
When portion's error band envelope is in uniform error region, the border in local error region and uniform error region is obtained first, then
The parameter mapping such as use in local error region respectively, projection is used in uniform error region；When local error region
When domain envelope is in gradient error region, the border in local error region and gradient error region is first obtained, then in local mistake
The parameter mapping such as still use in poor region.
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| CN101976060B (en) * | 2010-11-17 | 2012-02-08 | 西南交通大学 | NURBS (Non-Uniform Rational B-Spline) interpolation method based on machine tool dynamics and curve characteristics |
| CN103163836B (en) * | 2011-12-12 | 2015-12-02 | 沈阳高精数控技术有限公司 | Ruled surface cutter path planing method |
| CN104281098B (en) * | 2014-10-27 | 2017-02-15 | 南京航空航天大学 | Modeling method for dynamic machining features of complex curved surface |
| CN106774154B (en) * | 2016-12-30 | 2018-11-13 | 太原科技大学 | A kind of space curve interpolating method based on osculating plane theory |
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