CN109746766A - A kind of monoblock type slotting cutter major flank wear land temperature field determines method and system - Google Patents
A kind of monoblock type slotting cutter major flank wear land temperature field determines method and system Download PDFInfo
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- CN109746766A CN109746766A CN201910061762.5A CN201910061762A CN109746766A CN 109746766 A CN109746766 A CN 109746766A CN 201910061762 A CN201910061762 A CN 201910061762A CN 109746766 A CN109746766 A CN 109746766A
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Abstract
The invention discloses a kind of monoblock type slotting cutter major flank wear land temperature fields to determine method and system.Establish the model at the instant contact angle between the milling cutter and workpiece；Undeformed chip thickness model is established, undeformed chip thickness is calculated according to the undeformed chip thickness model；Establish the models for temperature field that primary deformation zone heat source generates temperature rise to the milling cutter major flank wear land；Establish the models for temperature field that second deformation zone heat source generates temperature rise to the milling cutter major flank wear land；Establish the models for temperature field that third deformed area heat source generates temperature rise to the milling cutter major flank wear land.The transient temperature of the milling cutter major flank wear land is calculated according to first models for temperature field, second temperature field model, second temperature field model and the milling cutter major flank wear land models for temperature field.The temperature field for establishing primary deformation zone heat source, second deformation zone heat source and third deformed area heat source respectively, improves the accuracy of milling cutter temperature monitoring in cutting process.
Description
Technical field
The present invention relates to monoblock type square end mill fields, more particularly to a kind of monoblock type slotting cutter wear of the tool flank
Band temperature field determines method and system.
Background technique
Titanium alloy navigates because having the characteristics such as excellent specific strength, specific stiffness, heat resistance and corrosion resistance in aviation
It, the energy and military field be used widely.Add to meet above-mentioned field for higher processing efficiency and more preferable workpiece surface
The application requirement of working medium amount selects high speed and precision Milling Process mode to be particularly important.And when high-speed milling thin-wall part, pole
Violent tool wear easily occur reduces processing efficiency and processing quality.For Milling Process, milling cutter temperature and lubrication side
The selection of formula is to influence two key factors of tool wear.It is vertical for monoblock type hard alloy to meet Green Machining requirement
In terms of the research of milling cutter Peripherally milling process thin-wall workpiece focuses more on tool temperature.
The influence factor of the thermo parameters method of cutting process mainly has heat source calorific intensity, heat source geometrical property, processing ginseng
The factors such as the cutting edge quantity of number, workpiece material constitutive model, knife handle, undeformed chip thickness and participation processing, are learned both at home and abroad
Person has carried out correlative study for above-mentioned factor.Time variation load between knife bits will have a direct impact on the heat source heat of second deformation zone
Intensity, Coskun Islam etc. represents milling cutter using the implicit time discrete format solution of second order in finite difference method thus
The partial differential equation of thermal mass TRANSFER MODEL, and then establish milling cutter temperature field.Cut the complex geometry characteristic of heat source and non-
Symmetry will have a direct impact on the distribution of cutting temperature field, and F.Klocke etc. considers cutting edge geometrical feature and radius of edge thus
For cutting the influence of heat source, establish based on the cutting temperature analytic modell analytical model for being derived from field of fluid mechanics panel method.Milling Process
Periodic feature is presented in temperature change in the process, and for the research for more specifically carrying out Milling Temperature, Wu Baohai etc. will
One temperature change period of end mill is divided into temperature rising stage and temperature decline phase, for the temperature rising stage, considers that knife considers it to be worth doing
Between true Frotteurism, pass through finite element simulation and obtain heat flux and knife and consider contact length to be worth doing；Phase is declined for temperature, is based on
One-dimensional disk like thermal convection modeling.Machined parameters are P.S.Sivasakthivel etc. thus an important factor for influencing cutting temperature
End mill Temperature Rise Model is established based on Response surface meth od, research milling parameter is influenced it and processed using genetic algorithm optimization
For parameter to obtain minimal temperature rise, discovery helical angle is the most important milling parameter for influencing temperature rise peak value.This structure mould of workpiece material
Type will affect primary deformation zone flow deformation, and Yang Y etc. is directed to the Milling Process in big strain, high strain-rate and high temperature thus
Under the conditions of, the new constitutive model of workpiece material is established, finite element is imitative when improving double helix sword slotting cutter processing Ti6Al4V
The vivid accuracy for cutting temperature results.The conduction of cutting heat will receive the influence of knife handle in cutting process, thus
S.R.Carvalho etc. considers that cutter and knife handle factor are based on inverse heat conduction method and calculate knife bits contact surface temperature simultaneously.End
The time variation of knife bits contact length will have a direct impact on undeformed chip thickness and then influence tool temperature distribution during milling, be
This Masahiko Sato etc. considers the time variation of knife bits contact length during end mill, is established using Green's function indexable
The rake face temperature distribution model of milling cutter.Monoblock type slotting cutter milling plane Shi Qizhou sword and shear blade can participate in process,
And then milling heat is generated, Ismail Lazoglu etc. comprehensively considers milling cutter Zhou Ren and shear blade using the method for semi analytic thus
Influence to cutting temperature establishes a kind of new face milling thermal model.
According to tool temperature Modeling Research status in current machining, research work, which is concentrated mainly on to have, discontinuously to be added
The indexable milling cutter Temperature Modeling of work feature is built without reference to for helical edges slotting cutter major flank wear land transient state temperature field
The correlative study of mould can not accurately determine the temperature field of milling cutter major flank wear land.
Summary of the invention
The object of the present invention is to provide one kind can accurately determine that the monoblock type in the temperature field of milling cutter major flank wear land is flat
The transient temperature of head slotting cutter major flank wear land determines method and system.
To achieve the above object, the present invention provides following schemes: a kind of monoblock type square end mill major flank wear land
Transient temperature determine that method, the determining method include:
The coordinate system X'Y'Z' of the coordinate system XYZ of primary deformation zone heat source and second deformation zone heat source are transformed into third
Corresponding coordinate system X " Y " Z " of the coordinate system of deformed area heat source, that is, milling cutter major flank wear land；
Wherein, VB1For wear of the tool flank strip length, β0For the cutter angle of wedge, lcContact length is considered to be worth doing for knife；
Establish the model of the instant contact angle θ between the milling cutter and the workpiece；Assuming that described in being processed in the milling cutter
In workpiece fabrication, both undeformed and vibration, each milling of cutting edge is from the condition cut from machined surface
Under, establish undeformed chip thickness h model；
Undeformed chip thickness h is calculated according to the undeformed chip thickness h model；
It establishes primary deformation zone heat source and the models for temperature field that temperature rise influences is generated on the milling cutter major flank wear land, obtain
The first models for temperature field is obtained, the primary deformation zone heat source is the heat that the chip generates in the shearing slip in shear surface
Amount；
It establishes second deformation zone heat source and the models for temperature field that temperature rise influences is generated on the milling cutter major flank wear land, obtain
Second temperature field model is obtained, the second deformation zone heat source is the chip and the rake face extrusion friction generation of the milling cutter
Heat；
It establishes third deformed area heat source and the models for temperature field that temperature rise influences is generated on the milling cutter major flank wear land, obtain
Third models for temperature field is obtained, third deformed area heat source is the flank mill of the workpiece machined surface and the milling cutter
Damage the heat generated with extrusion friction；
The models for temperature field under corresponding coordinate system X " Y " Z " of milling cutter major flank wear land is established, milling cutter flank is obtained
Abrasion band models for temperature field；
After first models for temperature field, the second temperature field model, third models for temperature field and the milling cutter
Knife face wears the transient temperature that the milling cutter major flank wear land is calculated with models for temperature field.
Optionally, the model of the instant contact angle θ established between the milling cutter and workpiece specifically includes: will be described
Axially cutting direction is discrete is m with a thickness of w=dz=A for milling cutterpThe disk of/m, ApDepth is sold for milling, when each described
When the thickness of disk is sufficiently small, the screw thread establishes right angled triangle ABD, water using the straight line BD as bevel edge for straight line BD
Square to right-angle side be AB, the right-angle side of vertical direction is AD；
The instant contact angle θ between the milling cutter and workpiece is calculated according to formula (2), (3) and (4)；
Wherein, ApFor milling depth, β is the helical angle of the milling cutter, and R is the radius of the milling cutter.
Optionally, the undeformed chip thickness h model of establishing specifically includes: each milling of cutting edge is from apart from
It is cut at finished surface.
Wherein,
Wherein, vfFor feed speed, AeFor milling width, fzFor feed engagement, z is milling cutter sword number, and n turns for lathe
Speed, θenFor entrance angle, θexTo cut out angle.
Optionally, the temperature established primary deformation zone heat source and generate temperature rise influence on the milling cutter major flank wear land
Field model is spent, the first models for temperature field is obtained and specifically includes:
Establish the mirror image hot source point dl' of the primary hot source point dl of primary deformation zone Yu the primary hot source point of the primary deformation zone
To upper arbitrary point P along the X directionIThe Temperature Rise Model of (x, 0, z) calculates separately the temperature liter of the primary hot source point of primary deformation zone
High level Δ TIThe temperature increase Δ T of (x, 0, z) and the mirror image hot source pointI'(x,0,z)；
Calculate the arbitrary point P of the upper primary deformation zone along the X directionIThe temperature increase Δ T of (x, 0, z)rake-I(x,
0,z)；
ΔTrake-I(x, 0, z)=Δ TI(x,0,z)+ΔTI'(x,0,z) (9)
Wherein, λtFor the thermal conductivity of the milling cutter, h (θ) is undeformed chip thickness, φnNormal shear angle, ηcFor chip
Efflux angle, αwFor the thermal diffusivity of the workpiece；K0For the zeroth order of the second class modified Bessel function, RlFor first deformation
The hot source point dl of the primary heat source in area to point PIThe distance of (x, 0, z), Rl' be the primary deformation zone mirror image heat source hot source point dl
To point PIThe distance of (x, 0, z)；
The primary deformation zone calorific intensity q of foundationIModel；
Vsh=Vcos λs (12)
Wherein, A is with reference to the initial yield stress under strain rate and reference temperature, and B is the strain hardening mould of the workpiece
Amount, εABCD-PFor the effective plasticstrain of shear surface ABCD, n is the strain hardening exponent of the workpiece, and C is answering for the workpiece
Variable ratio reinforcement parameter,For the effective plasticstrain rate of shear surface ABCD,With reference to strain rate, T is Current Temperatures, TrFor
Reference temperature, TmFor the fusion temperature of the workpiece, m is the thermal softening index of the workpiece.
Optionally, the temperature established second deformation zone heat source and generate temperature rise influence on the milling cutter major flank wear land
Field model is spent, second temperature field model is obtained and specifically includes:
The primary hot source point of second deformation zone and second deformation zone mirror image hot source point are established to along arbitrary point P on the direction X'II
The temperature elevation model of (x', 0, z') calculates separately the temperature rise Δ T of the primary hot source point of the second deformation zoneII(x',0,z')
With the second deformation zone mirror image hot source point Δ TII'(x',0,z')；
It calculates along the arbitrary point P in second deformation zone heat source described on the direction X'IIThe temperature rise Δ T of (x', 0,0)rake-II
(x',0,0)；
ΔTrake-II(x', 0,0)=Δ TII(x',0,0)+ΔTII'(x',0,0)(16)
Wherein, Ri-2For the second deformation zone heat source point-to-point PIIThe distance of (x', 0, z'), Ri-2'Become for described second
Heat source point-to-point P on the mirror image heat source of shape area heat sourceIIThe distance of (x', 0, z'), w are oblique angle turning width, λsIncline for sword
Angle；
Establish the second deformation zone calorific intensity qII(θ, x') model；
Achip(θ)=lc(θ)wc (20)
Wherein, σtipFor the direct stress at the point of a knife of the milling cutter, For the milling cutter and described cut
Consider contact surface average friction angle, A to be worth doingchip(θ) is the milling cutter and the chip contact area；
Calculate the heat distribution ratio B that second deformation zone heat from heat source flows to rake faceII-rake(θ)；
Optionally, the temperature established third deformed area heat source and generate temperature rise influence on the milling cutter major flank wear land
Field model is spent, third models for temperature field is obtained and specifically includes:
The primary hot source point in third deformed area and third deformed area mirror image hot source point are established to along arbitrary point on the direction X "
PIIIThe temperature elevation model of (x ", 0,0) calculates separately the temperature rise Δ T of the primary hot source point in third deformed areaIII(x”,0,
And the third deformed area mirror image hot source point Δ T 0)III'(x",0,0)；
It calculates along the arbitrary point P on the direction X " in third deformed area heat sourceIIIThe temperature rise Δ of (x ", 0,0)
Tflank-III(x",0,0)；
ΔTflank-III(x ", 0,0)=Δ TIII(x”,0,0)+ΔTIII'(x”,0,0) (26)
Wherein, Ri-3For the third deformed area heat source point-to-point PIIThe distance of (x', 0, z'), Ri-3'For third change
Heat source point-to-point P on the mirror image heat source of shape area heat sourceIIIThe distance of (x ", 0,0), w are oblique angle turning width, λsIncline for sword
Angle；
Establish the third deformed area calorific intensity qIII(x ") model；
Wherein, fLibraryThe frictional force of (x ") between knife work contact surface, λsFor tool inclination angle,For on knife-work contact surface
Average friction coefficient, σn-f(x ") is the direct stress on wear of the tool flank band, σtipDirect stress on infinitesimal point of a knife, VBCRFor modeling
Property flow region and resilient contact region critical point, K is the ratio of shear flow stress on shear stress and workpiece on cutting edge,
φ is the angle of shear, γ0For tool orthogonal rake,For rake face average friction angle.
Calculate the heat distribution ratio B that third deformed area heat from heat source flows to rake faceIII-flank(θ)；
Optionally, the models for temperature field established under corresponding coordinate system X " Y " Z " of milling cutter major flank wear land obtains
Milling cutter major flank wear land models for temperature field specifically includes:
It calculates and described establishes arbitrary point P on corresponding coordinate system X " Y " Z of milling cutter major flank wear land " under along X " direction
The temperature T of (x ", 0,0)flank(x",0,0)；
A kind of transient temperature of monoblock type slotting cutter major flank wear land determines that system, the determining system include:
Establishment of coordinate system module, for by the coordinate of the coordinate system XYZ of primary deformation zone heat source and second deformation zone heat source
It is corresponding coordinate system X " Y " Z " of coordinate system i.e. milling cutter major flank wear land that X'Y'Z' is transformed into third deformed area heat source；
Instant contact angle model establishes module, the mould of the instant contact angle θ for establishing between the milling cutter and workpiece
Type；
Undeformed chip thickness model building module is processed in the workpiece fabrication in the milling cutter, both undeformed
And vibration, each milling of cutting edge under conditions of cutting from machined surface, establish undeformed chip thickness h mould
Type；
Undeformed chip thickness computing module, for calculating undeformed chip according to the undeformed chip thickness h model
Thickness h；
First models for temperature field establishes module, for establishing primary deformation zone heat source to the milling cutter major flank wear land
The models for temperature field that temperature rise influences is generated, the first models for temperature field is obtained, the primary deformation zone heat source is that the chip is being cut
The heat generated in shearing slip in section；
Second temperature field model establishes module, for establishing second deformation zone heat source to the milling cutter major flank wear land
The models for temperature field that temperature rise influences is generated, obtains second temperature field model, the second deformation zone heat source is the chip and institute
The heat stating the compressing and rubbing against for rake face of milling cutter and generating；
Third models for temperature field establishes module, for establishing third deformed area heat source to the milling cutter major flank wear land
The models for temperature field that temperature rise influences is generated, third models for temperature field is obtained, third deformed area heat source is that the workpiece has added
The the compressing and rubbing against for major flank wear land of work surface and the milling cutter and the heat generated；
Milling cutter major flank wear land models for temperature field establishes module, for establishing the corresponding seat of milling cutter major flank wear land
Models for temperature field under mark system, obtains milling cutter major flank wear land models for temperature field；
Transient temperature computing module, for according to first models for temperature field, the second temperature field model, described
Third models for temperature field and the milling cutter major flank wear land models for temperature field calculate the instantaneous of the milling cutter major flank wear land
Temperature.
The specific embodiment provided according to the present invention, the invention discloses following technical effects: the invention discloses one kind
The transient temperature of monoblock type square end mill major flank wear land determines method and system, using respectively to primary deformation zone heat
Source, second deformation zone heat source and third deformed area heat source models for temperature field foundation, improve the milling cutter temperature in cutting process
The accuracy for spending monitoring, extends the service life of the milling cutter, while improving the quality and processing on workpieces processing surface
Precision.
Detailed description of the invention
It in order to more clearly explain the embodiment of the invention or the technical proposal in the existing technology, below will be in embodiment
Required attached drawing is briefly described, it should be apparent that, the accompanying drawings in the following description is only some realities of the invention
Example is applied, it for those of ordinary skill in the art, without any creative labor, can also be according to these
Attached drawing obtains other attached drawings.
Fig. 1 is that the transient temperature of monoblock type square end mill major flank wear land provided by the invention determines the stream of method
Cheng Tu；
Fig. 2 is the heat of primary deformation zone heat source provided by the invention, second deformation zone heat source and third deformed area heat source
Distribution schematic diagram；
Fig. 3 is the milling cutter infinitesimal blade schematic diagram provided by the invention；
Fig. 4 is undeformed chip thickness schematic diagram provided by the invention；
Fig. 5 is primary deformation zone heat source schematic diagram provided by the invention；
Fig. 6 is second deformation zone heat source schematic diagram provided by the invention；
Fig. 7 is third deformed area heat source schematic diagram provided by the invention；
Fig. 8 is the schematic diagram of the milling cutter major flank wear land transient state temperature field provided by the invention；
Fig. 9 is the milling cutter major flank wear land transient state temperature field provided by the invention with milling time change schematic diagram；
Specific embodiment
Following will be combined with the drawings in the embodiments of the present invention, and technical solution in the embodiment of the present invention carries out clear, complete
Site preparation description, it is clear that described embodiments are only a part of the embodiments of the present invention, instead of all the embodiments.It is based on
Embodiment in the present invention, it is obtained by those of ordinary skill in the art without making creative efforts it is all its
His embodiment, shall fall within the protection scope of the present invention.
The object of the present invention is to provide one kind can accurately determine that the monoblock type in the temperature field of milling cutter major flank wear land is flat
The transient temperature of head slotting cutter major flank wear land determines method and system.
In order to make the foregoing objectives, features and advantages of the present invention clearer and more comprehensible, with reference to the accompanying drawing and specific real
Applying mode, the present invention is described in further detail.
As shown in Figure 1, a kind of transient temperature of monoblock type square end mill major flank wear land determines method, it is described true
The method of determining includes:
Step 100: the coordinate system X'Y'Z' of the coordinate system XYZ of primary deformation zone heat source and second deformation zone heat source is turned
Change to corresponding coordinate system X " Y " Z " of coordinate system i.e. milling cutter major flank wear land of third deformed area heat source；
Wherein, VB1For wear of the tool flank strip length, β0For the cutter angle of wedge, lcContact length is considered to be worth doing for knife；
Step 200: establishing the model of the instant contact angle θ between the milling cutter and workpiece；
Step 300: being processed in the workpiece fabrication in the milling cutter, both undeformed and vibration, cutting edge mill every time
It cuts under conditions of being cut from machined surface, establishes undeformed chip thickness h model；
Step 400: undeformed chip thickness h is calculated according to the undeformed chip thickness h model；
Step 500: establishing primary deformation zone heat source and the temperature field that temperature rise influences is generated on the milling cutter major flank wear land
Model, obtains the first models for temperature field, and the primary deformation zone heat source is that the chip produces in the shearing slip in shear surface
Raw heat；
Step 600: establishing second deformation zone heat source and the temperature field that temperature rise influences is generated on the milling cutter major flank wear land
Model, obtains second temperature field model, and the second deformation zone heat source contacts production with the rake face of the milling cutter for the chip
Raw heat；
Step 700: establishing third deformed area heat source and the temperature field that temperature rise influences is generated on the milling cutter major flank wear land
Model obtains third models for temperature field, after third deformed area heat source is the workpiece machined surface and the milling cutter
Knife face wears the heat generated with extrusion friction；
Step 800: establishing the models for temperature field under corresponding coordinate system X " Y " Z " of milling cutter major flank wear land, milled
Knife major flank wear land models for temperature field；
Step 900: according to first models for temperature field, the second temperature field model, third models for temperature field and institute
State the transient temperature that milling cutter major flank wear land models for temperature field calculates the milling cutter major flank wear land.
The model of the instant contact angle θ established between the milling cutter and workpiece specifically includes:
As shown in figure 3, by the milling cutter, axially cutting direction is discrete is m with a thickness of w=dz=ApThe circle of/m
Piece, ApDepth is sold for milling, when the thickness of each disk is sufficiently small, the screw thread is straight line BD, is with the straight line BD
Bevel edge establishes right angled triangle ABD, and the right-angle side of horizontal direction is AB, and the right-angle side of vertical direction is AD；
The instant contact angle θ between the milling cutter and workpiece is calculated according to formula (2), (3), (4)；
Wherein, ApFor milling depth, β is the helical angle of the milling cutter, and R is the radius of the milling cutter.
As shown in figure 4, the undeformed chip thickness h model of establishing specifically includes:
The each milling of cutting edge is cut from from machined surface；
Wherein,
Wherein, vfFor feed speed, AeFor milling width, fzFor feed engagement, z is milling cutter sword number, and n turns for lathe
Speed, θenFor entrance angle, θexTo cut out angle.
As shown in Figure 2, Figure 5 and Figure 6, the primary deformation zone heat source of establishing generates the milling cutter major flank wear land
The models for temperature field that temperature rise influences obtains the first models for temperature field and specifically includes:
Establish the mirror image hot source point dl' of the primary hot source point dl of primary deformation zone Yu the primary hot source point of the primary deformation zone
To upper arbitrary point P along the X directionIThe Temperature Rise Model of (x, 0, z) calculates separately the temperature liter of the primary hot source point of primary deformation zone
High level Δ TIThe temperature increase Δ T of (x, 0, z) and the mirror image hot source pointI'(x,0,z)；
Calculate the arbitrary point P of the upper primary deformation zone along the X directionIThe temperature increase Δ T of (x, 0, z)rake-I(x,
0,z)；
ΔTrake-I(x, 0, z)=Δ TI(x,0,z)+ΔTI'(x,0,z) (9)
Wherein, λtFor the thermal conductivity of the milling cutter, h (θ) is undeformed chip thickness, φnNormal shear angle, ηcFor chip
Efflux angle, αwFor the thermal diffusivity of the workpiece；K0For the zeroth order of the second class modified Bessel function, RlFor first deformation
The hot source point dl of the primary heat source in area to point PIThe distance of (x, 0, z), Rl' be the primary deformation zone mirror image heat source hot source point dl
To point PIThe distance of (x, 0, z)；
The primary deformation zone calorific intensity q of foundationIModel；
Wherein, A is with reference to the initial yield stress under strain rate and reference temperature, and B is the strain hardening mould of the workpiece
Amount, εABCD-PFor the effective plasticstrain of shear surface ABCD, n is the strain hardening exponent of the workpiece, and C is answering for the workpiece
Variable ratio reinforcement parameter,For the effective plasticstrain rate of shear surface ABCD,For with reference to strain rate, T is Current Temperatures,
TrFor reference temperature, TmFor the fusion temperature of the workpiece, m is the thermal softening index of the workpiece.
The temperature field mould established second deformation zone heat source and generate temperature rise influence on the milling cutter major flank wear land
Type obtains second temperature field model and specifically includes:
The primary hot source point of second deformation zone and second deformation zone mirror image hot source point are established to along arbitrary point P on the direction X'II
The temperature elevation model of (x', 0, z') calculates separately the temperature rise Δ T of the primary hot source point of the second deformation zoneII(x',0,z')
With the second deformation zone mirror image hot source point Δ TII'(x',0,z')；
It calculates along the arbitrary point P in second deformation zone heat source described on the direction X'IIThe temperature rise Δ T of (x', 0,0)rake-II
(x',0,0)；
ΔTrake-II(x', 0,0)=Δ TII(x',0,0)+ΔTII'(x',0,0) (16)
Wherein, Ri-2For the second deformation zone heat source point-to-point PIIThe distance of (x', 0, z'), Ri-2'Become for described second
Heat source point-to-point P on the mirror image heat source of shape area heat sourceIIThe distance of (x', 0, z'), w are oblique angle turning width, λsIncline for sword
Angle；
Establish the second deformation zone calorific intensity qII(θ, x') model；
Achip(θ)=lc(θ)wc (20)
Wherein, σtipFor the direct stress at the point of a knife of the milling cutter, For the milling cutter and described cut
Consider contact surface average friction angle, A to be worth doingchip(θ) is the milling cutter and the chip contact area；
Calculate the heat distribution ratio B that second deformation zone heat from heat source flows to rake faceII-rake(θ)；
The temperature field mould established third deformed area heat source and generate temperature rise influence on the milling cutter major flank wear land
Type obtains third models for temperature field and specifically includes:
The primary hot source point in third deformed area and third deformed area mirror image hot source point are established to along arbitrary point on the direction X "
PIIIThe temperature elevation model of (x ", 0,0) calculates separately the temperature rise Δ T of the primary hot source point in third deformed areaIII(x”,0,
And the third deformed area mirror image hot source point Δ T 0)III'(x",0,0)；
It calculates along the arbitrary point P on the direction X " in third deformed area heat sourceIIIThe temperature rise Δ of (x ", 0,0)
Tflank-III(x",0,0)；
ΔTflank-III(x ", 0,0)=Δ TIII(x”,0,0)+ΔTIII'(x”,0,0) (26)
Wherein, Ri-3For the third deformed area heat source point-to-point PIIThe distance of (x', 0, z'), Ri-3'For third change
Heat source point-to-point P on the mirror image heat source of shape area heat sourceIIIThe distance of (x ", 0,0), w are oblique angle turning width, λsIncline for sword
Angle；
Establish the third deformed area calorific intensity qIII(x ") model；
Wherein, fLibraryThe frictional force of (x ") between knife work contact surface, λsFor tool inclination angle,For on knife-work contact surface
Average friction coefficient, σn-f(x ") is the direct stress on wear of the tool flank band, σtipFor the direct stress on infinitesimal point of a knife, VBCRFor
Plastic Flow region and resilient contact region critical point, K are the ratio of shear flow stress on shear stress and workpiece on cutting edge
Value, φ is the angle of shear, γ0For tool orthogonal rake,For rake face average friction angle.
Calculate the heat distribution ratio B that third deformed area heat from heat source flows to rake faceIII-flank(θ)；
The models for temperature field established under corresponding coordinate system X " Y " Z " of milling cutter major flank wear land, after obtaining milling cutter
Knife face abrasion band models for temperature field specifically includes:
It calculates and described establishes arbitrary point P on corresponding coordinate system X " Y " Z of milling cutter major flank wear land " under along X " direction
The temperature T of (x ", 0,0)flank(x",0,0)；
As shown in figure 9, a kind of transient temperature of monoblock type square end mill major flank wear land determines system, it is described true
Determining system includes:
Establishment of coordinate system module 1, for by the seat of the coordinate system XYZ of primary deformation zone heat source and second deformation zone heat source
Mark system X'Y'Z' is transformed into corresponding coordinate system X " Y " Z " of coordinate system i.e. milling cutter major flank wear land of third deformed area heat source；
Instant contact angle model establishes module 2, the mould of the instant contact angle θ for establishing between the milling cutter and workpiece
Type；
Undeformed chip thickness model building module 3 is processed in the workpiece fabrication in the milling cutter, both unchanged
Shape and vibration, each milling of cutting edge under conditions of cutting from machined surface, establish undeformed chip thickness h
Model；
Undeformed chip thickness computing module 4, for calculating undeformed cut according to the undeformed chip thickness h model
Consider thickness h to be worth doing；
First models for temperature field establishes module 5, for establishing primary deformation zone heat source to the milling cutter major flank wear land
The models for temperature field that temperature rise influences is generated, obtains the first models for temperature field, the primary deformation zone heat source is the chip and institute
State the heat of work piece interface generation；
Second temperature field model establishes module 6, for establishing second deformation zone heat source to the milling cutter major flank wear land
The models for temperature field that temperature rise influences is generated, second temperature field model is obtained, the primary deformation zone heat source is that the chip is being cut
The heat generated in shearing slip in section；
Third models for temperature field establishes module 7, for establishing third deformed area heat source to the milling cutter major flank wear land
The models for temperature field that temperature rise influences is generated, third models for temperature field is obtained, third deformed area heat source is that the workpiece has added
The the compressing and rubbing against for major flank wear land of work surface and the milling cutter and the heat generated；
Milling cutter major flank wear land models for temperature field establishes module 8, for establishing the corresponding seat of milling cutter major flank wear land
Models for temperature field under mark system, obtains milling cutter major flank wear land models for temperature field；
Transient temperature computing module 9, for according to first models for temperature field, the second temperature field model, described
Third models for temperature field and the milling cutter major flank wear land models for temperature field calculate the instantaneous of the milling cutter major flank wear land
Temperature.
Each embodiment in this specification is described in a progressive manner, the highlights of each of the examples are with its
The difference of his embodiment, the same or similar parts in each embodiment may refer to each other.For being disclosed in embodiment
For system, since it is corresponded to the methods disclosed in the examples, so being described relatively simple, related place is referring to method portion
It defends oneself bright.
Used herein a specific example illustrates the principle and implementation of the invention, above embodiments
Illustrate to be merely used to help understand method and its core concept of the invention；At the same time, for those skilled in the art,
According to the thought of the present invention, there will be changes in the specific implementation manner and application range, in conclusion this specification
Content should not be construed as limiting the invention.
Claims (8)
1. a kind of transient temperature of monoblock type square end mill major flank wear land determines method, which is characterized in that the determination
Method includes:
The coordinate system X'Y'Z' of the coordinate system XYZ of primary deformation zone heat source and second deformation zone heat source are transformed into third deformed area
Corresponding coordinate system X " Y " Z " of the coordinate system of heat source, that is, milling cutter major flank wear land；
Wherein, VB1For wear of the tool flank strip length, β0For the cutter angle of wedge, lcContact length is considered to be worth doing for knife；
Establish the model of the instant contact angle θ between the milling cutter and the workpiece, it is assumed that process the workpiece in the milling cutter
In the process, both undeformed and vibration, each milling of cutting edge from machined surface under conditions of cutting；
Undeformed chip thickness h model is established, undeformed chip thickness h is calculated according to the undeformed chip thickness h model；
It establishes primary deformation zone heat source and the models for temperature field that temperature rise influences is generated on the milling cutter major flank wear land, obtain first
Models for temperature field, the primary deformation zone heat source are the heat that the chip generates in the shearing slip in shear surface；
It establishes second deformation zone heat source and the models for temperature field that temperature rise influences is generated on the milling cutter major flank wear land, obtain second
Models for temperature field, the second deformation zone heat source are the heat of the rake face extrusion friction generation of the chip and the milling cutter；
It establishes third deformed area heat source and the models for temperature field that temperature rise influences is generated on the milling cutter major flank wear land, obtain third
Models for temperature field, third deformed area heat source are the major flank wear land extruding of the workpiece machined surface and the milling cutter
Rub the heat generated；
The models for temperature field under corresponding coordinate system X " Y " Z " of milling cutter major flank wear land is established, milling cutter major flank wear land is obtained
Models for temperature field；
According to first models for temperature field, the second temperature field model, third models for temperature field and the milling cutter flank
Abrasion calculates the transient temperature of the milling cutter major flank wear land with models for temperature field.
2. a kind of transient temperature of monoblock type square end mill major flank wear land according to claim 1 determines method,
It is characterized in that, the model of the instant contact angle θ established between the milling cutter and workpiece specifically includes:
It is m with a thickness of w=dz=A that by the milling cutter, axially cutting direction is discretepThe disk of/m, ApDepth is sold for milling, when
When the thickness of each disk is sufficiently small, the screw thread establishes right angled triangle using the straight line BD as bevel edge for straight line BD
ABD, the right-angle side of horizontal direction are AB, and the right-angle side of vertical direction is AD；
The instant contact angle θ between the milling cutter and workpiece is calculated according to formula (2), (3) and (4)；Wherein, ApFor milling depth,
β is the helical angle of the milling cutter, and R is the radius of the milling cutter.
3. a kind of transient temperature of monoblock type square end mill major flank wear land according to claim 1 determines method,
It is characterized in that, the undeformed chip thickness h model of establishing specifically includes:
The each milling of cutting edge is cut from from machined surface
Wherein, vfFor feed speed, AeFor milling width, fzFor feed engagement, z is milling cutter sword number, and n is lathe revolving speed, θenFor
Entrance angle, θexTo cut out angle.
4. a kind of transient temperature of monoblock type square end mill major flank wear land according to claim 1 determines method,
It is characterized in that, the temperature field mould established primary deformation zone heat source and generate temperature rise influence on the milling cutter major flank wear land
Type obtains the first models for temperature field and specifically includes:
Establish the mirror image hot source point dl' of the primary hot source point dl of primary deformation zone and the primary hot source point of the primary deformation zone to along
Arbitrary point P in X-directionIThe Temperature Rise Model of (x, 0, z) calculates separately the temperature increase Δ T of the primary hot source point of primary deformation zoneI
The temperature increase Δ T of (x, 0, z) and the mirror image hot source pointI'(x,0,z)；
Calculate the arbitrary point P of the upper primary deformation zone along the X directionIThe temperature increase Δ T of (x, 0, z)rake-I(x,0,z)；
ΔTrake-I(x, 0, z)=Δ TI(x,0,z)+ΔTI'(x,0,z) (9)
Wherein, λtFor the thermal conductivity of the milling cutter, h (θ) is undeformed chip thickness, φnNormal shear angle, ηcFor chip outflow
Angle, αwFor the thermal diffusivity of the workpiece；K0For the zeroth order of the second class modified Bessel function, RlIt is former for the primary deformation zone
The hot source point dl of heat source to point PIThe distance of (x, 0, z), Rl' for the primary deformation zone mirror image heat source hot source point dl to point
PIThe distance of (x, 0, z)；
The primary deformation zone calorific intensity q of foundationIModel
Vsh=Vcos λs (12)
Wherein, A is with reference to the initial yield stress under strain rate and reference temperature, and B is the modulus of strain hardening of the workpiece,
εABCD-PFor the effective plasticstrain of shear surface ABCD, n is the strain hardening exponent of the workpiece, and C is the strain rate of the workpiece
Strengthen parameter,For the effective plasticstrain rate of shear surface ABCD,For with reference to strain rate, T is Current Temperatures, TrFor ginseng
Examine temperature, TmFor the fusion temperature of the workpiece, m is the thermal softening index of the workpiece.
5. a kind of transient temperature of monoblock type square end mill major flank wear land according to claim 1 determines method,
It is characterized in that, the temperature field mould established second deformation zone heat source and generate temperature rise influence on the milling cutter major flank wear land
Type obtains second temperature field model and specifically includes:
The primary hot source point of second deformation zone and second deformation zone mirror image hot source point are established to along arbitrary point P on the direction X'II(x',
0, z') temperature elevation model calculates separately the temperature rise Δ T of the primary hot source point of the second deformation zoneIIIt is (x', 0, z') and described
Second deformation zone mirror image hot source point Δ TII'(x',0,z')；
It calculates along the arbitrary point P in second deformation zone heat source described on the direction X'IIThe temperature rise Δ T of (x', 0,0)rake-II(x',
0,0)；
ΔTrake-II(x', 0,0)=Δ TII(x',0,0)+ΔTII'(x',0,0) (16)
Wherein, Ri-2For the second deformation zone heat source point-to-point PIIThe distance of (x', 0, z'), Ri-2'For the second deformation zone
Heat source point-to-point P on the mirror image heat source of heat sourceIIThe distance of (x', 0, z'), w are oblique angle turning width, λsFor cutting edge inclination；
Establish the second deformation zone calorific intensity qII(θ, x') model；
Achip(θ)=lc(θ)wc (20)
Wherein, σtipFor the direct stress at the point of a knife of the milling cutter, It is connect for the milling cutter and the chip
Contacting surface average friction angle, Achip(θ) is the milling cutter and the chip contact area；
Calculate the heat distribution ratio B that second deformation zone heat from heat source flows to rake faceII-rake(θ)
。
6. a kind of transient temperature of monoblock type square end mill major flank wear land according to claim 1 determines method,
It is characterized in that, the temperature field mould established third deformed area heat source and generate temperature rise influence on the milling cutter major flank wear land
Type obtains third models for temperature field and specifically includes:
The primary hot source point in third deformed area and third deformed area mirror image hot source point are established to along arbitrary point P on the direction X "III(x”,
0,0) temperature elevation model calculates separately the temperature rise Δ T of the primary hot source point in third deformed areaIIIIt is (x ", 0,0) and described
Third deformed area mirror image hot source point Δ TIII'(x",0,0)；
It calculates along the arbitrary point P on the direction X " in third deformed area heat sourceIIIThe temperature rise Δ T of (x ", 0,0)flank-III
(x",0,0)；
ΔTflank-III(x ", 0,0)=Δ TIII(x”,0,0)+ΔTIII'(x”,0,0) (26)
Wherein, Ri-3For the third deformed area heat source point-to-point PIIThe distance of (x', 0, z'), Ri-3'For the third deformed area
Heat source point-to-point P on the mirror image heat source of heat sourceIIIThe distance of (x ", 0,0), w are oblique angle turning width, λsFor cutting edge inclination；
Establish the third deformed area calorific intensity qIII(x ") model；
Wherein, fLibraryThe frictional force of (x ") between knife work contact surface, λsFor tool inclination angle,It is flat on knife-work contact surface
Equal coefficient of friction, σn-f(x ") is the direct stress on wear of the tool flank band, σtipDirect stress on infinitesimal point of a knife, VBCRFor plasticity stream
Dynamic region and resilient contact region critical point, K are the ratio of shear flow stress on shear stress on cutting edge and workpiece, and φ is to cut
Corner cut, γ0For tool orthogonal rake,For rake face average friction angle.
Calculate the heat distribution ratio B that third deformed area heat from heat source flows to rake faceIII-flank(θ)
7. a kind of transient temperature of monoblock type square end mill major flank wear land according to claim 1 determines method,
It is characterized in that, the models for temperature field established under corresponding coordinate system X " Y " Z " of milling cutter major flank wear land, obtains milling cutter
Major flank wear land models for temperature field specifically includes:
Calculate it is described establish arbitrary point P on corresponding coordinate system X " Y " Z of milling cutter major flank wear land " under along X " direction (x ", 0,
0) temperature Tflank(x ", 0,0),
Tflank(x ", 0,0)=Δ Tflank-I(x"-VB1,0,0)+ΔTtoolflank-II(lc-Z",0,VB1-X")+ΔTflank-III
(x”,0,0)+T0 (33)。
8. a kind of transient temperature of monoblock type square end mill major flank wear land determines system, which is characterized in that the determination
System includes:
Establishment of coordinate system module, for by the coordinate system X' of the coordinate system XYZ of primary deformation zone heat source and second deformation zone heat source
Y'Z' is transformed into corresponding coordinate system X " Y " Z " of coordinate system i.e. milling cutter major flank wear land of third deformed area heat source；
Instant contact angle model establishes module, the model of the instant contact angle θ for establishing between the milling cutter and workpiece；
Undeformed chip thickness model building module is processed in the workpiece fabrication in the milling cutter, both undeformed and vibration
Dynamic, each milling of cutting edge under conditions of cutting from machined surface, establishes undeformed chip thickness h model；
Undeformed chip thickness computing module, for calculating undeformed chip thickness according to the undeformed chip thickness h model
h；
First models for temperature field establishes module, generates temperature to the milling cutter major flank wear land for establishing primary deformation zone heat source
The models for temperature field influenced is risen, the first models for temperature field is obtained, the primary deformation zone heat source is the chip in shear surface
Shearing slip in the heat that generates；
Second temperature field model establishes module, generates temperature to the milling cutter major flank wear land for establishing second deformation zone heat source
The models for temperature field influenced is risen, second temperature field model is obtained, the second deformation zone heat source is the chip and the milling cutter
Rake face compress and rub against and the heat that generates；
Third models for temperature field establishes module, generates temperature to the milling cutter major flank wear land for establishing third deformed area heat source
The models for temperature field influenced is risen, third models for temperature field is obtained, third deformed area heat source is the workpiece machined surface
The heat generated with the compressing and rubbing against for major flank wear land of the milling cutter；
Milling cutter major flank wear land models for temperature field establishes module, for establishing under the corresponding coordinate system of milling cutter major flank wear land
Models for temperature field, obtain milling cutter major flank wear land models for temperature field；
Transient temperature computing module, for according to first models for temperature field, the second temperature field model, the third temperature
Degree field model and the milling cutter major flank wear land models for temperature field calculate the transient temperature of the milling cutter major flank wear land.
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| CN110293451A (en) * | 2019-07-03 | 2019-10-01 | 哈尔滨理工大学 | A kind of monoblock type flat-bottom end mill wear of the tool flank rate determines method |
| CN112198811A (en) * | 2020-09-09 | 2021-01-08 | 重庆邮电大学 | Extrusion forming temperature field space-time separation modeling and uniformity evaluation system and method |
| CN112818477A (en) * | 2021-01-04 | 2021-05-18 | 哈尔滨理工大学 | Method and system for establishing cutter failure limit diagram of integral flat-bottom end mill |
| CN113369991A (en) * | 2021-05-26 | 2021-09-10 | 武汉理工大学 | Method, system and device for predicting cutting temperature of tool with worn rear tool face |
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