CN109657307A - A kind of hot modeling method of three-dimensional inclined cutting suitable for circular hard alloy lathe tool - Google Patents
A kind of hot modeling method of three-dimensional inclined cutting suitable for circular hard alloy lathe tool Download PDFInfo
- Publication number
- CN109657307A CN109657307A CN201811479255.5A CN201811479255A CN109657307A CN 109657307 A CN109657307 A CN 109657307A CN 201811479255 A CN201811479255 A CN 201811479255A CN 109657307 A CN109657307 A CN 109657307A
- Authority
- CN
- China
- Prior art keywords
- infinitesimal
- heat source
- cutting
- cutter
- parameter
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Granted
Links
Classifications
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/20—Design optimisation, verification or simulation
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F17/00—Digital computing or data processing equipment or methods, specially adapted for specific functions
- G06F17/10—Complex mathematical operations
- G06F17/11—Complex mathematical operations for solving equations, e.g. nonlinear equations, general mathematical optimization problems
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/10—Geometric CAD
- G06F30/17—Mechanical parametric or variational design
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F2119/00—Details relating to the type or aim of the analysis or the optimisation
- G06F2119/06—Power analysis or power optimisation
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F2119/00—Details relating to the type or aim of the analysis or the optimisation
- G06F2119/08—Thermal analysis or thermal optimisation
-
- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02P—CLIMATE CHANGE MITIGATION TECHNOLOGIES IN THE PRODUCTION OR PROCESSING OF GOODS
- Y02P90/00—Enabling technologies with a potential contribution to greenhouse gas [GHG] emissions mitigation
- Y02P90/02—Total factory control, e.g. smart factories, flexible manufacturing systems [FMS] or integrated manufacturing systems [IMS]
Landscapes
- Engineering & Computer Science (AREA)
- Physics & Mathematics (AREA)
- Theoretical Computer Science (AREA)
- General Physics & Mathematics (AREA)
- Geometry (AREA)
- General Engineering & Computer Science (AREA)
- Computational Mathematics (AREA)
- Mathematical Optimization (AREA)
- Mathematical Physics (AREA)
- Pure & Applied Mathematics (AREA)
- Mathematical Analysis (AREA)
- Evolutionary Computation (AREA)
- Computer Hardware Design (AREA)
- Data Mining & Analysis (AREA)
- Operations Research (AREA)
- Algebra (AREA)
- Databases & Information Systems (AREA)
- Software Systems (AREA)
- Milling Processes (AREA)
- Numerical Control (AREA)
Abstract
The present invention provides a kind of hot modeling method of three-dimensional inclined cutting suitable for circular hard alloy lathe tool, by the way that the heat source in cutting process is divided into multiple infinitesimals, analyze the local parameter of each infinitesimal, calculate temperature rise caused by each infinitesimal, it integrates to obtain whole cutting force along cutting edge, for predicting the temperature field of circular bit, guidance is provided for the efficient high finishing passes of circular bit.The present invention utilizes analytic modell analytical model prediction cutting force and heat simultaneously, reduces the dependence to experiment, reduces the waste of experiment, has higher freedom degree.
Description
Technical field
The invention belongs to the efficiently high-precision Machining Technology for Cutting fields of metal, and in particular to one kind is suitable for circular hard alloy
The hot modeling method of three-dimensional inclined cutting of lathe tool.
Background technique
In metal cutting process, cutting force and heat are most important two indices;Wherein cutting heat is to influence tool wear
The principal element of degree and piece surface integrality, temperature is higher, and the abrasion of cutter is more serious.It is round relative to conventional lathe tool
Lathe tool has bigger contact cutting edge to be widely used in the cutting process due to the feature that its is wear-resistant, intensity is high.Exist at present
In turning field, for the research comparative maturity of conventional diamond shape lathe tool and triangle lathe tool;And circular bit is due to its shape
The particularity of shape causes the difficulty of theoretical modeling, and the research of the Temperature Modeling for circular bit is caused to be not much.
There is scholar to propose the research method of heat modeling in cutting process at present, is based on as Komanduri is proposed
The temperature model of half infinite medium theory is for calculating temperature rise caused by shear heat source and rake face frictional heat source;Karpat is proposed
Consider dead zone heat source, chamfering edge tool temperature model of flank frictional heat source etc..But due to circular bit be not straight cutting edge and
Inclined cutting sword, heat source shape be it is irregular, cause existing temperature model not to be suitable for circular bit, increase
To the degree of difficulty of circular bit turning process monitoring, lead to the accuracy predicted part quality.And in conventional model
In separate predictive power and heat, carry out pre- calorimetric by the data that experiment obtains cutting force, conventional model made to depend on experimental data, at
This is higher.
Summary of the invention
The technical problem to be solved by the present invention is providing a kind of three-dimensional inclined cutting suitable for circular hard alloy lathe tool
Hot modeling method, for during circular bit turner chip and cutter establish models for temperature field, and utilize simultaneously
Analytic modell analytical model predicts cutting force and heat, reduces the waste of experiment.
The technical solution taken by the invention to solve the above technical problem are as follows: one kind is suitable for circular hard alloy lathe tool
The hot modeling method of three-dimensional inclined cutting, including the following steps:
Step S1: to the machined parameters of models for temperature field input cutter to be established and the material parameter of workpiece;
Step S2: being divided into N number of cutting edge infinitesimal for the undeformed machining region of workpiece according to the parameter that step S1 is inputted, and
Calculate the geometric parameter of the cutting edge infinitesimal of workpiece;
Step S3: the parameter being calculated according to the parameter of step S1 input and step S2, it is former according to not equal part shear zone
Reason and Johnson-Cook material constitutive equation calculate the shear stress of the cutting edge infinitesimal of cutter;
Step S4: the parameter being calculated according to the parameter of step S1 input and step S2, step S3, in cutting process
The heat source of generation is classified, and every a kind of heat source is divided into N number of infinitesimal, calculates the heat source strength of heat source infinitesimal;
Step S5: the parameter being calculated according to the parameter of step S1 input and step S2, step S3, step S4 utilizes
Half infinite medium is theoretical, passes through temperature rise caused by improved three-dimensional inclined cutting equation calculation heat source infinitesimal;
Step S6: the parameter being calculated according to step S5 calculates the chip of workpiece and the whole temperature rise of cutter, establishes temperature
Spend field model.
Further, in the step S1, the machined parameters of cutter and the material parameter of workpiece, specific steps are inputted
Are as follows:
Step S11: the machined parameters for inputting the cutter include the radius r of cutter, anterior angle αn, cutting depth ap, cutting
Speed V, per tooth feed f;
Step S12: the material parameter of the workpiece is inputted.
Further, in the step S2, according to machined parameters described in step S1 by the undeformed machining region of workpiece
It is divided into N number of cutting edge infinitesimal, and calculates the geometric parameter of the cutting edge infinitesimal of workpiece, specific steps are as follows:
Step S21: set the corresponding immersion angle of j-th of cutting edge infinitesimal of undeformed machining region asJ is natural number;Root
According toThe undeformed machining region of the workpiece is divided into N number of cutting edge infinitesimal by the radius along cutter;
Step S22: along the direction of per tooth feeding f, the point of penetration of cutter is calculated to the distance l of center cuttera
Per tooth feeding f is calculated in the projection f of rake facec
fc=fcos (αn);
Calculate the immersion angle φ of undeformed machining region starting pointst
Calculate the immersion angle φ of undeformed machining region subregion pointmid
Calculate the immersion angle φ of undeformed machining region terminating pointex
Step S23: the corresponding tool cutting edge angle of j-th of cutting edge infinitesimal of undeformed machining region is calculated
Assuming that the sum of the interaction force between the infinitesimal of undeformed machining region is 0, j-th of undeformed machining region is calculated
The corresponding chip flow angle of cutting edge infinitesimal
Calculate the width of the corresponding undeformed chip of j-th of cutting edge infinitesimal of undeformed machining region
Calculate the thickness of the corresponding undeformed chip of j-th of cutting edge infinitesimal of undeformed machining region
Further, in the step S3, the parameter being calculated according to the parameter of step S1 input and step S2, according to
The shear stress of the cutting edge infinitesimal of cutter, tool are calculated according to not equal part shear zone principle and Johnson-Cook material constitutive equation
Body step are as follows:
Step S31: the corresponding cutting edge inclination of j-th of cutting edge infinitesimal of cutter is calculated by coordinate transformBefore normal direction
Angle
Step S32: j-th of cutting edge infinitesimal pair of the cutting edge of cutter is calculated by the Equation Iterative of least energy rule
The normal shear angle answeredWith normal direction angle of frictionChip flow speedDepth of cutAnd shear velocity
Step S33: it is calculated j-th of cutter by not equal part shear zone principle and Johnson-Cook material constitutive equation
The corresponding shear stress of cutting edge infinitesimal
Further, it in the step S4, is calculated according to the parameter of step S1 input and step S2, step S3
Parameter classifies to the heat source generated in cutting process, and every a kind of heat source is divided into N number of infinitesimal, calculates the heat of heat source infinitesimal
Source strength, specific steps are as follows:
Step S41: the heat source in cutting process is divided into shear heat source and rake face frictional heat source;
Step S42: shear heat source is divided into N number of infinitesimal by the radius along cutter, if the length of j-th of shear heat source infinitesimal
ForWidth isCalculate the corresponding shearing force of j-th of shear heat source infinitesimal
Step S43: rake face heat source is divided into N number of infinitesimal along global chip flow direction, if j-th of rake face heat source is micro-
Member length beWidth isCalculate separately the corresponding cutting force system of j-th of cutting edge infinitesimal of undeformed machining region
Number, including cutting speed direction coefficient Ktc, cutting speed radial direction COEFFICIENT KfcWith cutting speed tangential coefficient Krc
Calculate separately three components in power model, including cutting speed durection componentCutting speed radial componentWith cutting speed tangential component
Calculate the frictional force of j-th of rake face frictional heat source infinitesimal
Step S44: the intensity of j-th of shear heat source infinitesimal is calculated
Calculate the intensity of j-th of rake face frictional heat source infinitesimal
Further, it in the step S5, is counted according to the parameter of step S1 input and step S2, step S3, step S4
The parameter obtained, using half infinite medium theory, by caused by improved three-dimensional inclined cutting equation calculation heat source infinitesimal
Temperature rise, specific steps are as follows:
Step S51: rectangular coordinate system XYZ is set on the basis of rake face, according to the thermal diffusion coefficient a of workpiece materialwork
Calculate separately intermediate quantity u3、u4And u5
According to the coefficient of heat conduction λ of workpiece materialworkCalculate chip temperature rise caused by j-th of shear heat source infinitesimal
Step S52: intermediate quantity u is calculated separately6、u7And u8
Calculate chip temperature rise caused by j-th of rake face frictional heat source infinitesimal
Step S53: the deflection of j-th of rake face heat source infinitesimal is set as θJ,Calculate separately intermediate quantity R and R '
According to the coefficient of heat conduction λ of cutter materialtoolCalculate cutter temperature rise caused by j-th of rake face frictional heat source infinitesimal
Further, in the step S6, according to the parameter that step S5 is calculated, chip and the knife of workpiece 2 are calculated
The whole temperature rise of tool, establishes models for temperature field, specific steps are as follows:
Step S61: the whole temperature rise T of chip is calculatedchip
Step S62: the whole temperature rise T of cutter is calculatedtool
The invention has the benefit that
1. a kind of hot modeling method of three-dimensional inclined cutting suitable for circular hard alloy lathe tool of the invention, for predicting
The temperature field of circular bit during the cutting process provides guidance for the efficient high finishing passes of circular bit.
2. the present invention using analytic modell analytical model prediction cutting force and heat, reduces the dependence to experiment, reduces experiment simultaneously
Waste.
3. the present invention is general model, that is, material parameter to be processed is inputted, to different cutting parameter combination (cuttings
Speed, depth, feeding), the combination of different tool-workpiece can calculate corresponding temperature field, there is higher freedom degree.
Detailed description of the invention
Fig. 1 is the flow diagram of the embodiment of the present invention.
Fig. 2 is the machining schematic diagram of the embodiment of the present invention.
Fig. 3 is the division schematic diagram at the rake face visual angle of the machining region of the embodiment of the present invention.
Fig. 4 is the distribution map of heat source in the cutting process of the embodiment of the present invention.
Fig. 5 is division figure of the shear heat source of the embodiment of the present invention under three-dimensional view angle.
Fig. 6 is division figure of the rake face heat source of the embodiment of the present invention under rake face visual angle.
Fig. 7 is the model calculation of the embodiment of the present invention and the field comparison diagram of finite element result.
Fig. 8 is the numerical value comparison diagram along cutting edge of the embodiment of the present invention.
Fig. 9 is the model calculation of the embodiment of the present invention and the field comparison diagram of experimental result.
Figure 10 is the numerical value comparison diagram along rake face of the embodiment of the present invention.
Wherein: 1. undeformed machining regions;2. workpiece;3. adjacent cutter position;4. shear heat source;5. chip;6. rake face
Frictional heat source;7. rake face;8. flank;9. j-th of shear heat source infinitesimal;10. the cutting-edge projection of previous tool position;
11. j-th of rake face frictional heat source infinitesimal;12. knife handle;13. cutter.
Specific embodiment
Technical solution of the present invention is described further below in conjunction with drawings and examples.
Referring to Fig. 1, the present invention provides one kind with 13 machined parameters of cutter, radius r, anterior angle α including cutter 13n, cut
Cut depth ap, cutting speed V, per tooth feeding f and material property parameter etc. be used as input quantity, using temperature field as output quantity
The Turning Temperature Field modeling method suitable for circular bit.
Referring to fig. 2, when circular bit turner 2, workpiece 2 is rotated along own axes, axis of the circular bit along workpiece 2
Direction is fed, and the part that is staggered of adjacent cutter position 3 is that workpiece 2 revolves the material being shaved that turns around on the same bus of workpiece 2
Material, i.e. machining region.
Referring to Fig. 3, in terms of 7 visual angle of rake face, using the center of circle of cutter 13 as angle point, along the radial direction of cutter 13, pass through
φst,φmidAnd φexUndeformed machining region 1 is divided into two parts zone1 and zone2 by three angles, if undeformed cutting
The corresponding immersion angle of j-th of cutting edge infinitesimal in domain 1 isJ is natural number;According toRadius along cutter 13 will be described
The undeformed machining region 1 of workpiece 2 is divided into N number of infinitesimal.
Along the direction of per tooth feeding f, the point of penetration of cutter 13 is calculated to the distance l at the center of cutter 13a
Per tooth feeding f is calculated in the projection f of rake face 7c
fc=fcos (αn);
Calculate the immersion angle φ of undeformed 1 starting point of machining regionst
Calculate the immersion angle φ of undeformed 1 subregion point of machining regionmid
Calculate the immersion angle φ of undeformed 1 terminating point of machining regionex
Calculate the corresponding tool cutting edge angle of j-th of cutting edge infinitesimal of undeformed machining region 1
Assuming that the sum of the interaction force between the infinitesimal of undeformed machining region 1 is 0, the jth of undeformed machining region 1 is calculated
The corresponding chip flow angle of a cutting edge infinitesimal
Calculate the width of the corresponding undeformed chip 5 of j-th of cutting edge infinitesimal of undeformed machining region 1
Calculate the thickness of the corresponding undeformed chip 5 of j-th of cutting edge infinitesimal of undeformed machining region 1
Wherein zone1 isZone2 is
The corresponding cutting edge inclination of j-th of cutting edge infinitesimal of the cutting edge of cutter 13 is calculated by coordinate transformBefore normal direction
AngleThe corresponding normal direction of j-th of cutting edge infinitesimal of the cutting edge of cutter 13 is calculated by the Equation Iterative of least energy rule
The angle of shearWith normal direction angle of frictionChip flow speedDepth of cutAnd shear velocityIt is sheared by not equal part
Area's principle and Johnson-Cook material constitutive equation calculate the corresponding shearing of j-th of cutting edge infinitesimal of the cutting edge of cutter 13
Stress
Referring to fig. 4, the heat source in cutting process is divided into shear heat source 4 and rake face frictional heat source 6.
Referring to Fig. 5, shear heat source 4 is divided into N number of infinitesimal by the radius along cutter 13, if j-th shear heat source infinitesimal 9
Length isWidth isCalculate the corresponding shearing force of j-th of shear heat source infinitesimal 9
Referring to Fig. 6, rake face frictional heat source 6 is divided into N number of infinitesimal along global chip flow direction, if j-th of rake face
The length of frictional heat source infinitesimal 11 isWidth isCalculate separately j-th of cutting edge infinitesimal pair of undeformed machining region 1
The Cutting Force Coefficient answered, including cutting speed direction coefficient Ktc, cutting speed radial direction COEFFICIENT KfcWith cutting speed tangential coefficient Krc
Calculate separately three components in power model, including cutting speed durection componentCutting speed radial componentWith cutting speed tangential component
Calculate the frictional force of j-th of rake face frictional heat source infinitesimal 11
Calculate the intensity of j-th of shear heat source infinitesimal 9
Calculate the intensity of j-th of rake face frictional heat source infinitesimal 11
After having obtained heat source strength, can calculate cutter 13, in chip 5 any point temperature, to establish temperature field.
Rectangular coordinate system XYZ is set on the basis of rake face 7, according to the thermal diffusion coefficient a of 2 material of workpieceworkCalculate separately intermediate quantity
u3、u4And u5
According to the coefficient of heat conduction λ of 2 material of workpieceworkCalculate chip temperature rise caused by j-th of shear heat source infinitesimal 9
Calculate separately intermediate quantity u6、u7And u8
Calculate chip temperature rise caused by j-th of rake face frictional heat source infinitesimal 11
If the deflection of j-th of rake face frictional heat source infinitesimal 11 is θj, calculate separately intermediate quantity R, R '
According to the coefficient of heat conduction λ of 13 material of cuttertoolCalculate cutter caused by j-th of rake face frictional heat source infinitesimal 11
Temperature rise
The parameter being calculated according to above-mentioned steps calculates separately the chip 5 of workpiece 2 and the whole temperature rise of cutter 13.Meter
Calculate the whole temperature rise T of chip 5chip
Calculate the whole temperature rise T of cutter 13tool
Finally establish the three-dimensional inclined cutting models for temperature field suitable for circular bit.
For the circular bit used in the embodiment of the present invention for hard alloy cutter 13, the material of processing is Inconel 718.
Hard alloy cutter 13 is most common cutter 13 in cutting field due to its economy, wearability and high-temperature stability;
As a kind of quality material widely used in aircraft industry and nuclear industry, disadvantage is to be difficult to Inconel 718, right
The loss of cutter 13 is big, is difficult to obtain preferable piece surface integrality.The present invention is directed to the processing work of this difficult-to-machine material
Condition, the temperature field modeling method of proposition predict the temperature of difficult-to-machine material in process well, solve efficient height
The technological difficulties such as cutting heat monitoring, Wear prediction in finishing passes, control process, in terms of generate
Good technical effect.
Referring to figs. 7 and 8, respectively the field comparison diagram of the model calculation and finite element result and the number along lathe tool cutting edge
It is worth comparison diagram.As seen from the figure, the model of the embodiment of the present invention and the calculated result of finite element meet;Relative to finite element simulation
Speech, it is shorter that the model of the embodiment of the present invention calculates the time.
Referring to Fig. 9 and Figure 10, respectively the field comparison diagram of the model calculation and experimental result and the numerical value along rake face 7
Comparison diagram.As seen from the figure, the model of the embodiment of the present invention meets with experimental result, shows that the present invention has actual cut operating condition
Directive significance, has reacted the temperature field during actual processing, and accuracy is high;Compared with existing modeling method, comprehensively and systematically
The Tutrning Process for having reacted circular bit meets the needs of to the control of turnery processing cutting temperature.
Above embodiments are merely to illustrate design philosophy and feature of the invention, and its object is to make technology in the art
Personnel can understand the content of the present invention and implement it accordingly, and protection scope of the present invention is not limited to the above embodiments.So it is all according to
It is within the scope of the present invention according to equivalent variations made by disclosed principle, mentality of designing or modification.
Claims (7)
1. a kind of hot modeling method of three-dimensional inclined cutting suitable for circular hard alloy lathe tool, for circular bit turning work
Models for temperature field is established in chip and cutter during part, it is characterised in that: the following steps are included:
Step S1: to the machined parameters of models for temperature field input cutter to be established and the material parameter of workpiece;
Step S2: the undeformed machining region of workpiece is divided by N number of cutting edge infinitesimal according to the parameter that step S1 is inputted, and is calculated
The geometric parameter of the cutting edge infinitesimal of workpiece;
Step S3: according to the parameter and the parameter that is calculated of step S2 of step S1 input, according to not equal part shear zone principle and
Johnson-Cook material constitutive equation calculates the shear stress of the cutting edge infinitesimal of cutter;
Step S4: according to the parameter and the parameter that is calculated of step S2, step S3 of step S1 input, to being generated in cutting process
Heat source classification, every a kind of heat source is divided into N number of infinitesimal, calculates the heat source strength of heat source infinitesimal;
Step S5: the parameter being calculated according to the parameter of step S1 input and step S2, step S3, step S4 utilizes half nothing
MEDIUM THEORY is limited, temperature rise caused by improved three-dimensional inclined cutting equation calculation heat source infinitesimal is passed through;
Step S6: the parameter being calculated according to step S5 calculates the chip of workpiece and the whole temperature rise of cutter, establishes temperature field
Model.
2. a kind of hot modeling method of three-dimensional inclined cutting suitable for circular hard alloy lathe tool according to claim 1,
It is characterized by: in the step S1, inputting the machined parameters of cutter and the material parameter of workpiece, specific steps are as follows:
Step S11: the machined parameters for inputting the cutter include the radius r of cutter, anterior angle αn, cutting depth ap, cutting speed
V, per tooth feeds f;
Step S12: the material parameter of the workpiece is inputted.
3. a kind of hot modeling method of three-dimensional inclined cutting suitable for circular hard alloy lathe tool according to claim 2,
It is characterized by: the undeformed machining region of workpiece is divided into N according to machined parameters described in step S1 in the step S2
A cutting edge infinitesimal, and calculate the geometric parameter of the cutting edge infinitesimal of workpiece, specific steps are as follows:
Step S21: set the corresponding immersion angle of j-th of cutting edge infinitesimal of undeformed machining region asJ is natural number;According to
The undeformed machining region of the workpiece is divided into N number of cutting edge infinitesimal by the radius along cutter;
Step S22: along the direction of per tooth feeding f, the point of penetration of cutter is calculated to the distance l of center cuttera
Per tooth feeding f is calculated in the projection f of rake facec
fc=fcos (αn);
Calculate the immersion angle φ of undeformed machining region starting pointst
Calculate the immersion angle φ of undeformed machining region subregion pointmid
Calculate the immersion angle φ of undeformed machining region terminating pointex
Step S23: the corresponding tool cutting edge angle of j-th of cutting edge infinitesimal of undeformed machining region is calculated
Assuming that the sum of the interaction force between the infinitesimal of undeformed machining region is 0, j-th of cutting of undeformed machining region is calculated
The corresponding chip flow angle of sword infinitesimal
Calculate the width of the corresponding undeformed chip of j-th of cutting edge infinitesimal of undeformed machining region
Calculate the thickness of the corresponding undeformed chip of j-th of cutting edge infinitesimal of undeformed machining region
4. a kind of hot modeling method of three-dimensional inclined cutting suitable for circular hard alloy lathe tool according to claim 3,
It is characterized by: in the step S3, according to the parameter that the parameter of step S1 input and step S2 are calculated, foundation is differed
The shear stress for dividing shear zone principle and Johnson-Cook material constitutive equation to calculate the cutting edge infinitesimal of cutter, specific steps
Are as follows:
Step S31: the corresponding cutting edge inclination of j-th of cutting edge infinitesimal of cutter is calculated by coordinate transformAnd normal rake
Step S32: j-th of cutting edge infinitesimal by the cutting edge of the Equation Iterative calculating cutter of least energy rule is corresponding
Normal shear angleWith normal direction angle of frictionChip flow speedDepth of cutAnd shear velocity
Step S33: j-th of cutting of cutter is calculated by not equal part shear zone principle and Johnson-Cook material constitutive equation
The corresponding shear stress of sword infinitesimal
5. a kind of hot modeling method of three-dimensional inclined cutting suitable for circular hard alloy lathe tool according to claim 4,
It is characterized by: in the step S4, according to the parameter that the parameter of step S1 input and step S2, step S3 are calculated,
Every a kind of heat source is divided into N number of infinitesimal by the heat source classification to generating in cutting process, and the heat source for calculating heat source infinitesimal is strong
Degree, specific steps are as follows:
Step S41: the heat source in cutting process is divided into shear heat source and rake face frictional heat source;
Step S42: shear heat source is divided into N number of infinitesimal by the radius along cutter, if the length of j-th of shear heat source infinitesimal isWidth isCalculate the corresponding shearing force of j-th of shear heat source infinitesimal
Step S43: being divided into N number of infinitesimal for rake face heat source along global chip flow direction, if j-th rake face heat source infinitesimal
Length isWidth isThe corresponding Cutting Force Coefficient of j-th of cutting edge infinitesimal of undeformed machining region is calculated separately, is wrapped
Include cutting speed direction coefficient Ktc, cutting speed radial direction COEFFICIENT KfcWith cutting speed tangential coefficient Krc
Calculate separately three components in power model, including cutting speed durection componentCutting speed radial componentWith
Cutting speed tangential component
Calculate the frictional force of j-th of rake face frictional heat source infinitesimal
Step S44: the intensity of j-th of shear heat source infinitesimal is calculated
Calculate the intensity of j-th of rake face frictional heat source infinitesimal
6. a kind of hot modeling method of three-dimensional inclined cutting suitable for circular hard alloy lathe tool according to claim 5,
It is characterized by: being calculated in the step S5 according to the parameter of step S1 input and step S2, step S3, step S4
Parameter pass through temperature rise caused by improved three-dimensional inclined cutting equation calculation heat source infinitesimal, tool using half infinite medium theory
Body step are as follows:
Step S51: rectangular coordinate system XYZ is set on the basis of rake face, according to the thermal diffusion coefficient a of workpiece materialworkIt counts respectively
Calculate intermediate quantity u3、u4And u5
According to the coefficient of heat conduction λ of workpiece materialworkCalculate chip temperature rise caused by j-th of shear heat source infinitesimal
Step S52: intermediate quantity u is calculated separately6、u7And u8
Calculate chip temperature rise caused by j-th of rake face frictional heat source infinitesimal
Step S53: the deflection of j-th of rake face heat source infinitesimal is set as θJ,Calculate separately intermediate quantity R and R '
According to the coefficient of heat conduction λ of cutter materialtoolCalculate cutter temperature rise caused by j-th of rake face frictional heat source infinitesimal
7. a kind of hot modeling method of three-dimensional inclined cutting suitable for circular hard alloy lathe tool according to claim 6,
It is characterized by:, according to the parameter that step S5 is calculated, calculating the chip of workpiece and the entirety of cutter in the step S6
Models for temperature field, specific steps are established in temperature rise are as follows:
Step S61: the whole temperature rise T of chip is calculatedchip
Step S62: the whole temperature rise T of cutter is calculatedtool
Priority Applications (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
CN201811479255.5A CN109657307B (en) | 2018-12-05 | 2018-12-05 | Three-dimensional oblique angle cutting thermal modeling method suitable for circular hard alloy turning tool |
Applications Claiming Priority (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
CN201811479255.5A CN109657307B (en) | 2018-12-05 | 2018-12-05 | Three-dimensional oblique angle cutting thermal modeling method suitable for circular hard alloy turning tool |
Publications (2)
Publication Number | Publication Date |
---|---|
CN109657307A true CN109657307A (en) | 2019-04-19 |
CN109657307B CN109657307B (en) | 2023-05-12 |
Family
ID=66111861
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
CN201811479255.5A Active CN109657307B (en) | 2018-12-05 | 2018-12-05 | Three-dimensional oblique angle cutting thermal modeling method suitable for circular hard alloy turning tool |
Country Status (1)
Country | Link |
---|---|
CN (1) | CN109657307B (en) |
Cited By (5)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN110807227A (en) * | 2019-10-29 | 2020-02-18 | 大连理工大学 | Cutting area temperature field prediction method for ultralow-temperature cooling machining |
CN111553032A (en) * | 2020-04-27 | 2020-08-18 | 湖北文理学院 | Blisk milling temperature prediction method, blisk milling temperature prediction device, blisk milling temperature prediction equipment and storage medium |
CN111633468A (en) * | 2020-05-27 | 2020-09-08 | 武汉理工大学 | Method and device for determining contact condition of round-edge cutter based on cutting force |
CN112077336A (en) * | 2020-08-24 | 2020-12-15 | 中南大学 | Method for accurately identifying cutting force coefficient in ultrasonic vibration-assisted machining |
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 |
Citations (2)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
JP2002178240A (en) * | 2000-12-14 | 2002-06-25 | Univ Shimane | Measuring method and device of tool edge temperature in cutting cutting workpiece |
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 |
-
2018
- 2018-12-05 CN CN201811479255.5A patent/CN109657307B/en active Active
Patent Citations (2)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
JP2002178240A (en) * | 2000-12-14 | 2002-06-25 | Univ Shimane | Measuring method and device of tool edge temperature in cutting cutting workpiece |
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 |
Non-Patent Citations (2)
Title |
---|
JIAN WENG等: "An analytical force prediction model for turning operation by round insert considering edge effect", 《ELSEVIER》 * |
蒋宏婉: "硬质合金涂层车刀稳定温度场仿真研究", 《组合机床与自动化加工技术》 * |
Cited By (7)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN110807227A (en) * | 2019-10-29 | 2020-02-18 | 大连理工大学 | Cutting area temperature field prediction method for ultralow-temperature cooling machining |
CN111553032A (en) * | 2020-04-27 | 2020-08-18 | 湖北文理学院 | Blisk milling temperature prediction method, blisk milling temperature prediction device, blisk milling temperature prediction equipment and storage medium |
CN111553032B (en) * | 2020-04-27 | 2023-09-15 | 湖北文理学院 | Blisk milling temperature prediction method, device, equipment and storage medium |
CN111633468A (en) * | 2020-05-27 | 2020-09-08 | 武汉理工大学 | Method and device for determining contact condition of round-edge cutter based on cutting force |
CN112077336A (en) * | 2020-08-24 | 2020-12-15 | 中南大学 | Method for accurately identifying cutting force coefficient in ultrasonic vibration-assisted machining |
CN112077336B (en) * | 2020-08-24 | 2021-09-17 | 中南大学 | Method for accurately identifying cutting force coefficient in ultrasonic vibration-assisted machining |
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 |
Also Published As
Publication number | Publication date |
---|---|
CN109657307B (en) | 2023-05-12 |
Similar Documents
Publication | Publication Date | Title |
---|---|---|
CN109657307A (en) | A kind of hot modeling method of three-dimensional inclined cutting suitable for circular hard alloy lathe tool | |
Wojciechowski et al. | Optimisation of machining parameters during ball end milling of hardened steel with various surface inclinations | |
Bhushan | Multiresponse optimization of Al alloy-SiC composite machining parameters for minimum tool wear and maximum metal removal rate | |
Sharma et al. | Force evaluation and machining parameter optimization in milling of aluminium burr composite based on response surface method | |
CN107168245B (en) | A kind of accurate prediction technique of chamfered edge circular bit cutting force considering cutting edge effect | |
Li et al. | Mechanistic modeling of five-axis machining with a flat end mill considering bottom edge cutting effect | |
CN106424969B (en) | A kind of slotting accurate prediction technique of milling dynamic cutting force considering cutter deflection | |
Abdulkareem et al. | Optimizing machining parameters during turning process | |
Ji et al. | A novel approach of tool wear evaluation | |
Murthy et al. | Optimization of end milling parameters under minimum quantity lubrication using principal component analysis and grey relational analysis | |
Elhami et al. | Experimental study of surface roughness and tool flank wear during hybrid milling | |
Srivastava et al. | Effects of cutting parameters on aluminium alloys-A review | |
Mao et al. | A material constitutive model-based prediction method for flank milling force considering the deformation of workpiece | |
Gopal | Optimization of machining parameters on temperature rise in CNC turning process of aluminium–6061 using RSM and genetic algorithm | |
Dagiloke et al. | High-speed machining: an approach to process analysis | |
Reddy et al. | A mechanistic force model for contour turning | |
CN110472308B (en) | Metal cutting tool nose dead zone shape prediction method considering metal slippage | |
Nicolaou et al. | Machining quality and cost: estimation and tradeoffs | |
Necpal et al. | Finite element analysis of tool stresses, temperature and prediction of cutting forces in turning process | |
Nieslony et al. | 3D FEM simulation of titanium machining | |
Mgherony et al. | Design of experiment in investigation regarding milling machinery | |
Dagiloke | Computer aided process parameter selection for high speed machining | |
Kanatnikov et al. | Thermal processes simulation during processing bevel gears | |
Reddy et al. | Analysis of vibration assisted dry end milling using 3D FE simulation–An investigational approach | |
Wen et al. | An improved chip flow model considering cutting geometry variations based on the equivalent cutting edge method |
Legal Events
Date | Code | Title | Description |
---|---|---|---|
PB01 | Publication | ||
PB01 | Publication | ||
SE01 | Entry into force of request for substantive examination | ||
SE01 | Entry into force of request for substantive examination | ||
GR01 | Patent grant | ||
GR01 | Patent grant |