CN107168245A - A kind of accurate Forecasting Methodology of chamfered edge circular bit cutting force for considering cutting edge effect - Google Patents
A kind of accurate Forecasting Methodology of chamfered edge circular bit cutting force for considering cutting edge effect Download PDFInfo
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Abstract
The present invention provides a kind of accurate Forecasting Methodology of chamfered edge circular bit cutting force for considering cutting edge effect, by cutting edge sliding-model control, not deformed cutting zone is divided into two parts, the undeformed chip thickness of each cutting edge infinitesimal in each cutting zone is calculated respectively；Calculate the shearing force coefficient of each cutting edge infinitesimal；If cutting edge force coefficient and shear stress and chamfered edge linear in length, using test data, the calibration equation of the cutting edge force coefficient linear constant for circular bit is derived, cutting edge force coefficient is calculated；The cutting force of each cutting edge infinitesimal is calculated, and is integrated along cutting edge, overall cutting force is obtained.The present invention passes through circular bit is discrete for multiple infinitesimals, analyze the local parameter of each infinitesimal, consider the cutting edge power of chamfered edge cutting edge, predict the cutting force of each cutting edge infinitesimal and obtain overall cutting force along cutting edge integration, so as to provide guidance for the efficient high finishing passes control of circular chamfered edge lathe tool.
Description
Technical field
The invention belongs to the efficient high-precision Machining Technology for Cutting field of metal, and in particular to a kind of chamfered edge of consideration cutting edge effect
The accurate Forecasting Methodology of circular bit cutting force.
Background technology
For metal cutting process, cutting force is follow-up study cutting heat, tool wear and surface integrity
Basis, is in vital status in machining.At present, in turning field, for conventional rhombus lathe tool and three
The research of angular lathe tool and the research of circular knives cutting edge comparative maturity, but circular bit is due to its complicated cutting
Domain shape, studies also few, for the cutter of chamfered edge cutting edge.
Application of the round ceramic lathe tool under high-speed cutting operating mode is more and more universal, and it has the characteristic of high resistance against wear.
The cutter of rib cutting edge is also commonly used in the case of high-speed cutting hardened material due to its intensity.Not only in turning,
During milling, the application of circular chamfering edge tool is also very universal.Specifically, circular chamfered edge lathe tool is because its is wear-resistant, strong
The characteristics of spending high, is widely used in machining, but again due to the complexity of shape, the prediction for its cutting force is also needed
Strengthen, in order to preferably serve process prediction.
At present, there is scholar that the correlative study method of some prediction of Turning Force with Artificial, the bright woods of such as Lee has been proposed
(“Analytical prediction of cutting forces in orthogonal cutting using unequal
Division shear-zone model ", 2011,54 (5-8):431-443) propose and sheared by not decile under study for action
The distribution of the strain of model prediction shear zone, stress and temperature, and then calculate the shear stress of main shear surface.
Abdelmoneim M E(“Tool edge roundness and stable build-up formation in finish
Machining ", 1974,6 (4):1258-1267.) propose the cutting edge force coefficient analysis model on circular cutting edge, but this
Chamfered edge cutting edge is not particularly suited for, especially for the complex circular bit of geometrical relationship, thus today for circular bit
Prediction of Turning Force with Artificial it is not comprehensive enough, this directly reduces the detection to circular bit turning process, reduce to part quality
Predictability.
The content of the invention
The technical problem to be solved in the present invention is：There is provided a kind of chamfered edge circular bit cutting force for considering cutting edge effect accurate
Forecasting Methodology.
The present invention is that the technical scheme that solution above-mentioned technical problem is taken is：A kind of chamfered edge for considering cutting edge effect is circular
The accurate Forecasting Methodology of lathe tool cutting force, it is characterised in that：It comprises the following steps：
S1, parameter input：
Input turnery processing cutting parameter, circular bit geometric parameter and performance parameter, including tool radius r, anterior angle αn、
Cutting depth d, cutting speed V, per tooth feeding f；
S2, by cutting edge sliding-model control, not deformed cutting zone is divided into two parts, each cutting is calculated respectively
The undeformed chip thickness of each cutting edge infinitesimal in region；
S3, it is combined with the geometry of circular bit by existing formula and document parameter, calculates each cutting edge micro-
The shearing force coefficient of member；
S4, cutting edge force coefficient and shear stress and chamfered edge linear in length are set, using test data, derived for circle
The calibration equation of the cutting edge force coefficient linear constant of shape lathe tool, calculates cutting edge force coefficient；
S5, the cutting force for calculating each cutting edge infinitesimal, and integrated along cutting edge, obtain overall cutting force.
By such scheme, in described S2, pass through the immersion angle φ of machining region starting pointst, machining region terminating point immersion
Angle φexWith the immersion angle φ of machining region subregion pointmidNot deformed cutting zone is divided into two parts, j-th of infinitesimal pair is obtained
The undeformed chip thickness h answeredjFor：
Whereinfc=fcos (αn),
In formula,；For the corresponding immersion angle of j-th of infinitesimal；laFor along direction of feed, point of penetration to center cutter away from
From； fcFor feed engagement rake face projection；；For cutting edge infinitesimal and the angle of adjacent cutter center；apFor
Cutting depth；For normal rake, calculated and obtained by coordinate transform.
By such scheme, described S3 shearing force coefficients are calculated by below equation to be obtained：
In formula, Ktc、Kfc、KrcIt is cutting speed direction, radial direction, tangential Cutting Force Coefficient respectively；For shear stress, profit
Tried to achieve with not decile shear model；For normal shear angle,For normal direction angle of friction, pass through the Equation Iterative of least energy rule
Try to achieve；Global chip flow direction is by assuming that the interaction force sum between infinitesimal is tried to achieve for 0；For each cutting edge infinitesimal
Corresponding cutting edge inclination,For normal rake, calculated and obtained by coordinate transform；For the chip flow angle of j-th of infinitesimal.
By such scheme, described S4 is as follows for the calibration equation of the cutting edge force coefficient linear constant of circular bit：
Wherein
d jIt is the cutting width of cutting edge infinitesimal；dφsAngle infinitesimal during for cutting edge discretization；xt、xf、xrIt is respectively
Linear constant in cutting speed direction, radial direction, tangential cutting edge force coefficient；Be j-th of cutting edge infinitesimal master it is inclined
Angle；C1-C6For intermediate parameters；FKnown to x、FKnown to y、FKnown to zFor the entirety in x, y, z direction in known orthogonal coordinate system in test data
Cutting force；
Obtaining cutting edge force coefficient is：
In formula, Kte、Kfe、KreRespectively cutting speed direction, radial direction, tangential cutting edge force coefficient, l are chamfered edge cutting edge
Length.
By such scheme, described S5 first calculates the cutting force that each cutting edge infinitesimal is subject to：
Force component is transformed into orthogonal coordinate system：
Finally along cutting edge integration, overall cutting force is tried to achieve：
In formula, Ft j、The cutting speed direction that respectively acts on infinitesimal j, radial direction, tangential cutting force point
Amount；To act on force component of the cutting force on infinitesimal j in orthogonal coordinate system；FqTo act on whole car
Force component of the cutting force in orthogonal coordinate system on knife.
By such scheme, described circular bit is sintex.
Beneficial effects of the present invention are：By the way that circular bit is discrete for multiple infinitesimals, the local ginseng of each infinitesimal of analysis
Number, it is considered to the cutting edge power of chamfered edge cutting edge, predicts the cutting force of each cutting edge infinitesimal and obtains overall along cutting edge integration
Cutting force, so as to provide guidance for the efficient high finishing passes control of circular chamfered edge lathe tool.
Brief description of the drawings
Fig. 1 is the method flow diagram of one embodiment of the invention.
Fig. 2 is machining engineering schematic diagram in the present invention.
Fig. 3 is dividing condition of the machining region at rake face visual angle.
Fig. 4 is dividing condition of the cutting edge infinitesimal at rake face visual angle.
Fig. 5 a and Fig. 5 b are the schematic diagram of 3-D graphic lower cutting edge infinitesimal local angle parameter.
Fig. 6 is the result figure that finite element software Advantedge verifies cutting edge power model.
Fig. 7 a, b, c and Fig. 8 a, b, c are the comparison diagram of theoretical prediction result and measured result.
In figure：1- workpiece, 2- handle of a knifes, 3- rake faces, the 4- plane of references, the cutting zones of 5- first, the cutting zones of 6- second, 7-
Cutter.
Embodiment
With reference to instantiation and accompanying drawing, the present invention will be further described.
The present invention is applied to machining of the circular bit to workpiece, as shown in Fig. 21 is workpiece, 2 be handle of a knife, before 3 are
Knife face, 4 be the plane of reference, and cutter is along the axial feed of workpiece 1 during turning bars.
The present invention provides a kind of accurate Forecasting Methodology of chamfered edge circular bit cutting force for considering cutting edge effect, as shown in figure 1,
It comprises the following steps：
S1, parameter input：Input turnery processing cutting parameter, circular bit geometric parameter and performance parameter, including cutter
Radius r, anterior angle αn, cutting depth d, cutting speed V, per tooth feeding f；It can in addition contain the material property parameter including workpiece.
S2, as shown in figure 3, the position of two neighboring cutter 7 is staggered, part is exactly that workpiece revolves the material that is shaved of turning around,
I.e. not deformed cutting zone, by cutting edge sliding-model control, is divided into two parts, the i.e. He of the first cutting zone 5 by machining region
Second cutting zone 6, point A is the starting point that workpiece 1 and cutter 7 are contacted, i.e. machining region starting point.It is micro- that Fig. 4 describes cutting edge
Member is in the dividing condition at rake face visual angle, and as shown in FIG., the corresponding immersion angle of cutting edge infinitesimal isRepresent be
Divide the angle step of infinitesimal.It can calculate that j-th of cutting edge infinitesimal is corresponding to cut wide drawn game by the geometrical relationship in figure
Portion's undeformed chip thickness.
Pass through the immersion angle φ of machining region starting pointst, machining region terminating point immersion angle φexWith machining region subregion point
Immerse angle φmidNot deformed cutting zone is divided into two parts, the corresponding undeformed chip thickness h of j-th of infinitesimal is obtainedj
For：
Whereinfc=fcos (αn),
In formula,For the corresponding immersion angle of j-th of infinitesimal；laFor along direction of feed, point of penetration to center cutter away from
From；fcFor feed engagement rake face projection；For cutting edge infinitesimal and the angle of adjacent cutter center；apTo cut
Cut depth；For normal rake, calculated and obtained by coordinate transform.
S3, it is combined with the particular geometry of circular bit by existing formula and document parameter, calculates each cutting
The shearing force coefficient of sword infinitesimal.
Shearing force coefficient is calculated by below equation and obtained：
In formula, Ktc、Kfc、KrcIt is cutting speed direction, radial direction, tangential Cutting Force Coefficient respectively；For shear stress, profit
Tried to achieve with not decile shear model；For normal shear angle,For normal direction angle of friction, pass through the Equation Iterative of least energy rule
Try to achieve；Global chip flow direction is by assuming that the interaction force sum between infinitesimal is tried to achieve for 0；For each cutting edge infinitesimal
Corresponding cutting edge inclination,For normal rake, calculated and obtained by coordinate transform；For the chip flow angle of j-th of infinitesimal.
S4, cutting edge force coefficient and shear stress and chamfered edge linear in length are set, the relation passes through finite element software
Advantedge is verified；Using test data, the mark of the cutting edge force coefficient linear constant for circular bit is derived
Determine equation, calculate cutting edge force coefficient.
Fig. 5 a and Fig. 5 b describe the schematic diagram of 3-D graphic lower cutting edge infinitesimal local angle parameter, wherein PrFor reference
Face, CproFor projection of the rake face 3 in the plane of reference.Fig. 6 is the knot that finite element software Advantedge verifies cutting edge power model
Really.As shown in FIG., when using chamfered edge length as unique variable, during remaining parameter constant, by existing knowledge, when remaining
When parameter is all constant, the shearing force part in cutting force does not change, and only cutting edge power changes.It can be seen by the curve in figure
Go out, cutting edge power changes with the change approximately linear of chamfered edge length, and the result of linear fit is shown, the R side of back of the body drag and centripetal force
It is 0.9958 and 0.9662 respectively, two fitting results have been above 0.95, it can be considered that assuming that cutting edge power and chamfered edge are long
It is rational that degree, which is directly proportional,.Therefore the expression formula of cutting edge force coefficient can be provided：
In formula, Kte、Kfe、KreRespectively cutting edge force coefficient, l is the length of chamfered edge cutting edge.
With reference to Fig. 5 derivation formula, it can be deduced that the calibration equation of constant term is as follows in cutting edge force coefficient：
Wherein
djIt is the cutting width of cutting edge infinitesimal；dφsAngle infinitesimal during for cutting edge discretization；xt、xf、xrIt is respectively
Linear constant in cutting speed direction, radial direction, tangential cutting edge force coefficient；Be j-th of cutting edge infinitesimal master it is inclined
Angle；C1-C6For intermediate parameters；FKnown to x、FKnown to y、FKnown to zFor the entirety in x, y, z direction in known orthogonal coordinate system in test data
Cutting force.
S5, the cutting force for calculating each cutting edge infinitesimal, and integrated along cutting edge, obtain overall cutting force.
First calculate the cutting force that each cutting edge infinitesimal is subject to：
Force component is transformed into orthogonal coordinate system：
Finally along cutting edge integration, overall cutting force is tried to achieve：
In formula, Ft j、The cutting speed direction that respectively acts on infinitesimal j, radial direction, tangential cutting force point
Amount；To act on force component of the cutting force on infinitesimal j in orthogonal coordinate system；FqTo act on whole car
Force component of the cutting force in orthogonal coordinate system on knife.
It is preferred that, described circular bit is sintex, because its is wear-resisting, high temperature resistant, the features such as be difficult adhesion, by more next
More it is widely used for the higher difficult-to-machine material of machining field, especially workhardness.
Inconel 718, than more typical difficult-to-machine material, is using very in aircraft industry and nuclear industry as one kind
Widely, its advantage substantially, but has the disadvantage that and is difficult to, the loss to cutter is very big, it is difficult to obtain preferable parts list
Face integrality.The inventive method is used for the workpiece that rapidoprint is Inconel 718, difficult-to-machine material can be predicted well
Cutting force in process, can accurately solve the technological difficulties such as cutting force monitoring in efficiently high finishing, therefore energy
It is enough process to be better controled over and to producing good technique effect in terms of Optimization of cutting.
Come clearly to illustrate in the present invention comprehensively with reference to specific round ceramic lathe tool machining example
Modeling process.
Diameter 12.7mm round ceramics blade (concrete model is RNGN120400) installation is used in the present embodiment
During lathe tool, rake face minimum point is foremost, i.e. B points in Fig. 2, anterior angle is -6 ° along workpiece axial feed.The material of workpiece
Material is Inconel 718, and the model of lathe is CAK5085nzj, and the model of dynamometer is Kistler9257B, and sample frequency is
40kHz, specific cutting force numerical value is obtained by calculating certain section of interval average value in the middle of sampled value.First by a large amount of
Experimental data in the present invention give cutting edge force coefficient in constant term demarcate, calibration result is as shown in table 1：
Table 1
By above derivation and given Cutting Parameters, it can be predicted and be obtained not using MATLAB numerical simulations
With the cutting force numerical value in three directions of x, y, z under Cutting Parameters.
When Fig. 7 a, Fig. 7 b and Fig. 7 c describe cutting speed 150mm/min, cutting-in 0.5mm, different feed speed situations
Under, the theoretical prediction result and the comparing result of measured result of the cutting force in three directions of x, y, z.
Fig. 8 a, Fig. 8 b and Fig. 8 c describe cutting speed 200mm/min, feed speed 0.1mm/r, different cutting-in situations
Under, the theoretical prediction result and the comparing result of measured result of the cutting force in three directions of x, y, z.
From prediction with experimental data contrast in it can be found that the circular bit of the consideration chamfered edge cutting edge constructed in the present invention adds
Work Predictive Model of Cutting Force can meet cutting reality well, with very high accuracy, with the modeling proposed in other technologies
Method is compared, and more comprehensively, has systematically reacted the Tutrning Process of circular chamfered edge lathe tool, while can meet to turnery processing
The demand that cutting force is accurately controlled.
As it will be easily appreciated by one skilled in the art that described above is presently preferred embodiments of the present invention, not to limit
The system present invention, any modifications, equivalent substitutions and improvements made within the spirit and principles of the invention etc., it should be included in
Within protection scope of the present invention.
Claims (6)
1. a kind of accurate Forecasting Methodology of chamfered edge circular bit cutting force for considering cutting edge effect, it is characterised in that：It includes following
Step：
S1, parameter input：
Input turnery processing cutting parameter, circular bit geometric parameter and performance parameter, including tool radius r, anterior angle αn, cutting
Depth d, cutting speed V, per tooth feeding f；
S2, by cutting edge sliding-model control, not deformed cutting zone is divided into two parts, each cutting zone is calculated respectively
In each cutting edge infinitesimal undeformed chip thickness；
S3, it is combined with the geometry of circular bit by existing formula and document parameter, calculates each cutting edge infinitesimal
Shear force coefficient；
S4, cutting edge force coefficient and shear stress and chamfered edge linear in length are set, using test data, derived for circular car
The calibration equation of the cutting edge force coefficient linear constant of knife, calculates cutting edge force coefficient；
S5, the cutting force for calculating each cutting edge infinitesimal, and integrated along cutting edge, obtain overall cutting force.
2. a kind of accurate Forecasting Methodology of chamfered edge circular bit cutting force for considering cutting edge effect according to claim 1, its
It is characterised by：In described S2, pass through the immersion angle φ of machining region starting pointst, machining region terminating point immersion angle φexWith cut
Cut the immersion angle φ of domain subregion pointmidNot deformed cutting zone is divided into two parts, j-th of infinitesimal is obtained corresponding unchanged
Shape depth of cut hjFor：
Whereinfc=fcos (αn),
In formula,；For the corresponding immersion angle of j-th of infinitesimal；laFor along direction of feed, the distance of point of penetration to center cutter；fc
For feed engagement rake face projection；；For cutting edge infinitesimal and the angle of adjacent cutter center；apIt is deep for cutting
Degree；For normal rake, calculated and obtained by coordinate transform.
3. a kind of accurate Forecasting Methodology of chamfered edge circular bit cutting force for considering cutting edge effect according to claim 2, its
It is characterised by：Described S3 shearing force coefficients are calculated by below equation to be obtained：
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<mtd>
<mrow>
<msub>
<mi>K</mi>
<mrow>
<mi>r</mi>
<mi>c</mi>
</mrow>
</msub>
<mo>=</mo>
<mfrac>
<msubsup>
<mi>&tau;</mi>
<mi>s</mi>
<mi>j</mi>
</msubsup>
<mrow>
<mi>sin</mi>
<mrow>
<mo>(</mo>
<msubsup>
<mi>&phi;</mi>
<mi>n</mi>
<mi>j</mi>
</msubsup>
<mo>)</mo>
</mrow>
</mrow>
</mfrac>
<mo>&times;</mo>
<mfrac>
<mrow>
<mi>cos</mi>
<mrow>
<mo>(</mo>
<msubsup>
<mi>&beta;</mi>
<mi>n</mi>
<mi>j</mi>
</msubsup>
<mo>-</mo>
<msubsup>
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<mi>n</mi>
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</msubsup>
<mo>)</mo>
</mrow>
<mi>tan</mi>
<mrow>
<mo>(</mo>
<msubsup>
<mi>&lambda;</mi>
<mi>s</mi>
<mi>j</mi>
</msubsup>
<mo>)</mo>
</mrow>
<mo>-</mo>
<mi>tan</mi>
<mrow>
<mo>(</mo>
<msubsup>
<mi>&eta;</mi>
<mi>c</mi>
<mi>j</mi>
</msubsup>
<mo>)</mo>
</mrow>
<mi>sin</mi>
<mrow>
<mo>(</mo>
<msubsup>
<mi>&beta;</mi>
<mi>n</mi>
<mi>j</mi>
</msubsup>
<mo>)</mo>
</mrow>
</mrow>
<msqrt>
<mrow>
<msup>
<mi>cos</mi>
<mn>2</mn>
</msup>
<mrow>
<mo>(</mo>
<msubsup>
<mi>&phi;</mi>
<mi>n</mi>
<mi>j</mi>
</msubsup>
<mo>+</mo>
<msubsup>
<mi>&beta;</mi>
<mi>n</mi>
<mi>j</mi>
</msubsup>
<mo>-</mo>
<msubsup>
<mi>&alpha;</mi>
<mi>n</mi>
<mi>j</mi>
</msubsup>
<mo>)</mo>
</mrow>
<mo>+</mo>
<msup>
<mi>tan</mi>
<mn>2</mn>
</msup>
<mrow>
<mo>(</mo>
<msubsup>
<mi>&eta;</mi>
<mi>c</mi>
<mi>j</mi>
</msubsup>
<mo>)</mo>
</mrow>
<msup>
<mi>sin</mi>
<mn>2</mn>
</msup>
<mrow>
<mo>(</mo>
<msubsup>
<mi>&beta;</mi>
<mi>n</mi>
<mi>j</mi>
</msubsup>
<mo>)</mo>
</mrow>
</mrow>
</msqrt>
</mfrac>
</mrow>
</mtd>
</mtr>
</mtable>
</mfenced>
<mo>,</mo>
</mrow>
In formula, Ktc、Kfc、KrcIt is cutting speed direction, radial direction, tangential Cutting Force Coefficient respectively；For shear stress, using not
Decile shear model is tried to achieve；For normal shear angle,For normal direction angle of friction, asked by the Equation Iterative of least energy rule
；Global chip flow direction is by assuming that the interaction force sum between infinitesimal is tried to achieve for 0；For each cutting edge infinitesimal pair
The cutting edge inclination answered,For normal rake, calculated and obtained by coordinate transform；For the chip flow angle of j-th of infinitesimal.
4. a kind of accurate Forecasting Methodology of chamfered edge circular bit cutting force for considering cutting edge effect according to claim 3, its
It is characterised by：Described S4 is as follows for the calibration equation of the cutting edge force coefficient linear constant of circular bit：
<mfenced open = "" close = "">
<mtable>
<mtr>
<mtd>
<mrow>
<msub>
<mi>C</mi>
<mn>1</mn>
</msub>
<mo>=</mo>
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<mo>&Sigma;</mo>
<mrow>
<mi>j</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mi>N</mi>
</munderover>
<msubsup>
<mi>&tau;</mi>
<mi>s</mi>
<mi>j</mi>
</msubsup>
<msup>
<mi>ld</mi>
<mi>j</mi>
</msup>
<mi>s</mi>
<mi>i</mi>
<mi>n</mi>
<mrow>
<mo>(</mo>
<msubsup>
<mi>K</mi>
<mi>r</mi>
<mi>j</mi>
</msubsup>
<mo>)</mo>
</mrow>
</mrow>
</mtd>
<mtd>
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<mi>C</mi>
<mn>2</mn>
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</mrow>
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</mtd>
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<mo>=</mo>
<mn>1</mn>
</mrow>
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</munderover>
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<mi>c</mi>
</mrow>
</msub>
<msup>
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</msup>
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</mtd>
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</mfenced>
<mfenced open = "" close = "">
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<mn>4</mn>
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<mn>1</mn>
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</mrow>
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</mtd>
<mtd>
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<mrow>
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</mrow>
</msub>
<msup>
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<mi>j</mi>
</msup>
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<mi>j</mi>
</msup>
<mi>c</mi>
<mi>o</mi>
<mi>s</mi>
<mrow>
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<msubsup>
<mi>K</mi>
<mi>r</mi>
<mi>j</mi>
</msubsup>
<mo>)</mo>
</mrow>
</mrow>
</mtd>
<mtd>
<mrow>
<msub>
<mi>C</mi>
<mn>6</mn>
</msub>
<mo>=</mo>
<munderover>
<mo>&Sigma;</mo>
<mrow>
<mi>j</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mi>N</mi>
</munderover>
<msub>
<mi>K</mi>
<mrow>
<mi>r</mi>
<mi>c</mi>
</mrow>
</msub>
<msup>
<mi>h</mi>
<mi>j</mi>
</msup>
<msup>
<mi>d</mi>
<mi>j</mi>
</msup>
<mi>s</mi>
<mi>i</mi>
<mi>n</mi>
<mrow>
<mo>(</mo>
<msubsup>
<mi>K</mi>
<mi>r</mi>
<mi>j</mi>
</msubsup>
<mo>)</mo>
</mrow>
</mrow>
</mtd>
</mtr>
</mtable>
</mfenced>
Wherein
djIt is the cutting width of cutting edge infinitesimal；dφsAngle infinitesimal during for cutting edge discretization；xt、xf、xrIt is cutting respectively
Linear constant in velocity attitude, radial direction, tangential cutting edge force coefficient；It is the tool cutting edge angle of j-th of cutting edge infinitesimal；C1-
C6For intermediate parameters；FKnown to x、FKnown to y、FKnown to zFor the overall cutting in x, y, z direction in known orthogonal coordinate system in test data
Power；
Obtaining cutting edge force coefficient is：
<mfenced open = "{" close = "">
<mtable>
<mtr>
<mtd>
<msub>
<mi>K</mi>
<mrow>
<mi>t</mi>
<mi>e</mi>
</mrow>
</msub>
<mo>=</mo>
<msub>
<mi>x</mi>
<mi>t</mi>
</msub>
<msubsup>
<mi>&tau;</mi>
<mi>s</mi>
<mi>j</mi>
</msubsup>
<mi>l</mi>
</mtd>
</mtr>
<mtr>
<mtd>
<msub>
<mi>K</mi>
<mrow>
<mi>f</mi>
<mi>e</mi>
</mrow>
</msub>
<mo>=</mo>
<msub>
<mi>x</mi>
<mi>f</mi>
</msub>
<msubsup>
<mi>&tau;</mi>
<mi>s</mi>
<mi>j</mi>
</msubsup>
<mi>l</mi>
</mtd>
</mtr>
<mtr>
<mtd>
<msub>
<mi>K</mi>
<mrow>
<mi>r</mi>
<mi>e</mi>
</mrow>
</msub>
<mo>=</mo>
<msub>
<mi>x</mi>
<mi>r</mi>
</msub>
<msubsup>
<mi>&tau;</mi>
<mi>s</mi>
<mi>j</mi>
</msubsup>
<mi>l</mi>
</mtd>
</mtr>
</mtable>
</mfenced>
In formula, Kte、Kfe、KreRespectively cutting speed direction, radial direction, tangential cutting edge force coefficient, l are the length of chamfered edge cutting edge.
5. a kind of accurate Forecasting Methodology of chamfered edge circular bit cutting force for considering cutting edge effect according to claim 4, its
It is characterised by：Described S5 first calculates the cutting force that each cutting edge infinitesimal is subject to：
<mfenced open = "{" close = "">
<mtable>
<mtr>
<mtd>
<msubsup>
<mi>F</mi>
<mi>t</mi>
<mi>j</mi>
</msubsup>
<mo>=</mo>
<msub>
<mi>K</mi>
<mrow>
<mi>t</mi>
<mi>c</mi>
</mrow>
</msub>
<msup>
<mi>d</mi>
<mi>j</mi>
</msup>
<msup>
<mi>h</mi>
<mi>j</mi>
</msup>
<mo>+</mo>
<msub>
<mi>K</mi>
<mrow>
<mi>t</mi>
<mi>e</mi>
</mrow>
</msub>
<msup>
<mi>d</mi>
<mi>j</mi>
</msup>
</mtd>
</mtr>
<mtr>
<mtd>
<msubsup>
<mi>F</mi>
<mi>f</mi>
<mi>j</mi>
</msubsup>
<mo>=</mo>
<msub>
<mi>K</mi>
<mrow>
<mi>f</mi>
<mi>c</mi>
</mrow>
</msub>
<msup>
<mi>d</mi>
<mi>j</mi>
</msup>
<msup>
<mi>h</mi>
<mi>j</mi>
</msup>
<mo>+</mo>
<msub>
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<mrow>
<mi>f</mi>
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</mrow>
</msub>
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<mi>d</mi>
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</msup>
</mtd>
</mtr>
<mtr>
<mtd>
<msubsup>
<mi>F</mi>
<mi>r</mi>
<mi>j</mi>
</msubsup>
<mo>=</mo>
<msub>
<mi>K</mi>
<mrow>
<mi>r</mi>
<mi>c</mi>
</mrow>
</msub>
<msup>
<mi>d</mi>
<mi>j</mi>
</msup>
<msup>
<mi>h</mi>
<mi>j</mi>
</msup>
<mo>+</mo>
<msub>
<mi>K</mi>
<mrow>
<mi>r</mi>
<mi>e</mi>
</mrow>
</msub>
<msup>
<mi>d</mi>
<mi>j</mi>
</msup>
</mtd>
</mtr>
</mtable>
</mfenced>
Force component is transformed into orthogonal coordinate system：
<mfenced open = "{" close = "">
<mtable>
<mtr>
<mtd>
<msubsup>
<mi>F</mi>
<mi>x</mi>
<mi>j</mi>
</msubsup>
<mo>=</mo>
<msubsup>
<mi>F</mi>
<mi>f</mi>
<mi>j</mi>
</msubsup>
<mi>s</mi>
<mi>i</mi>
<mi>n</mi>
<mo>(</mo>
<msubsup>
<mi>K</mi>
<mi>r</mi>
<mi>j</mi>
</msubsup>
<mo>)</mo>
<mo>+</mo>
<msubsup>
<mi>F</mi>
<mi>r</mi>
<mi>j</mi>
</msubsup>
<mi>c</mi>
<mi>o</mi>
<mi>s</mi>
<mo>(</mo>
<msubsup>
<mi>K</mi>
<mi>r</mi>
<mi>j</mi>
</msubsup>
<mo>)</mo>
</mtd>
</mtr>
<mtr>
<mtd>
<msubsup>
<mi>F</mi>
<mi>y</mi>
<mi>j</mi>
</msubsup>
<mo>=</mo>
<msubsup>
<mi>F</mi>
<mi>f</mi>
<mi>j</mi>
</msubsup>
<mi>c</mi>
<mi>o</mi>
<mi>s</mi>
<mo>(</mo>
<msubsup>
<mi>K</mi>
<mi>r</mi>
<mi>j</mi>
</msubsup>
<mo>)</mo>
<mo>-</mo>
<msubsup>
<mi>F</mi>
<mi>r</mi>
<mi>j</mi>
</msubsup>
<mi>s</mi>
<mi>i</mi>
<mi>n</mi>
<mo>(</mo>
<msubsup>
<mi>K</mi>
<mi>r</mi>
<mi>j</mi>
</msubsup>
<mo>)</mo>
</mtd>
</mtr>
<mtr>
<mtd>
<msubsup>
<mi>F</mi>
<mi>z</mi>
<mi>j</mi>
</msubsup>
<mo>=</mo>
<msubsup>
<mi>F</mi>
<mi>t</mi>
<mi>j</mi>
</msubsup>
</mtd>
</mtr>
</mtable>
</mfenced>
2
Finally along cutting edge integration, overall cutting force is tried to achieve：
<mrow>
<msub>
<mi>F</mi>
<mi>q</mi>
</msub>
<mo>=</mo>
<munderover>
<mo>&Sigma;</mo>
<mrow>
<mi>j</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mi>N</mi>
</munderover>
<msubsup>
<mi>F</mi>
<mi>q</mi>
<mi>j</mi>
</msubsup>
<mo>,</mo>
<mi>q</mi>
<mo>=</mo>
<mi>x</mi>
<mo>,</mo>
<mi>y</mi>
<mo>,</mo>
<mi>z</mi>
</mrow>
In formula,The cutting speed direction that respectively acts on infinitesimal j, radial direction, tangential cutting force component；To act on force component of the cutting force on infinitesimal j in orthogonal coordinate system；FqTo act on whole lathe tool
On force component of the cutting force in orthogonal coordinate system.
6. a kind of chamfered edge circular bit cutting force essence for considering cutting edge effect as claimed in any of claims 1 to 5
True Forecasting Methodology, it is characterised in that：Described circular bit is sintex.
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| CN108255134A (en) * | 2017-12-15 | 2018-07-06 | 武汉理工大学 | A kind of difficult-to-machine material high-speed turning prediction of Turning Force with Artificial method for considering chamfered edge geometry |
| CN108326634A (en) * | 2018-01-04 | 2018-07-27 | 天津大学 | A kind of cutting force measurement apparatus and method in situ towards ultrasonic vibration assisted machining |
| CN111061218A (en) * | 2019-12-31 | 2020-04-24 | 华中科技大学 | Complex curved surface machining cutting force prediction method and device based on ACIS |
| CN112207292A (en) * | 2020-09-30 | 2021-01-12 | 上海交通大学 | Diamond cutter cutting edge optimization implementation method for removing edge burrs |
| CN112720070A (en) * | 2020-12-21 | 2021-04-30 | 江苏集萃华科智能装备科技有限公司 | Cutting force modeling method for chamfering cutting edge cutter |
| CN113927368A (en) * | 2021-09-23 | 2022-01-14 | 苏州大学 | Micro milling cutter cutting edge wear monitoring method based on cutting force coefficient curve inflection point identification |
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| CN108255134A (en) * | 2017-12-15 | 2018-07-06 | 武汉理工大学 | A kind of difficult-to-machine material high-speed turning prediction of Turning Force with Artificial method for considering chamfered edge geometry |
| CN108326634A (en) * | 2018-01-04 | 2018-07-27 | 天津大学 | A kind of cutting force measurement apparatus and method in situ towards ultrasonic vibration assisted machining |
| CN111061218A (en) * | 2019-12-31 | 2020-04-24 | 华中科技大学 | Complex curved surface machining cutting force prediction method and device based on ACIS |
| CN111061218B (en) * | 2019-12-31 | 2021-07-27 | 华中科技大学 | Complex curved surface machining cutting force prediction method and device based on ACIS |
| CN112207292A (en) * | 2020-09-30 | 2021-01-12 | 上海交通大学 | Diamond cutter cutting edge optimization implementation method for removing edge burrs |
| CN112720070A (en) * | 2020-12-21 | 2021-04-30 | 江苏集萃华科智能装备科技有限公司 | Cutting force modeling method for chamfering cutting edge cutter |
| CN113927368A (en) * | 2021-09-23 | 2022-01-14 | 苏州大学 | Micro milling cutter cutting edge wear monitoring method based on cutting force coefficient curve inflection point identification |
| CN113927368B (en) * | 2021-09-23 | 2023-03-07 | 苏州大学 | Micro milling cutter cutting edge wear monitoring method based on cutting force coefficient curve inflection point identification |
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