CN105787179A - Modeling method for two-dimensional cutting temperature of carbon fiber-reinforced unidirectional laminate - Google Patents

Modeling method for two-dimensional cutting temperature of carbon fiber-reinforced unidirectional laminate Download PDF

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CN105787179A
CN105787179A CN201610111307.8A CN201610111307A CN105787179A CN 105787179 A CN105787179 A CN 105787179A CN 201610111307 A CN201610111307 A CN 201610111307A CN 105787179 A CN105787179 A CN 105787179A
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cutting
workpiece
cutting temperature
heat source
fibre reinforced
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安庆龙
文亮
明伟伟
陈明
蔡晓江
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Shanghai Jiaotong University
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    • G06—COMPUTING; CALCULATING OR COUNTING
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Abstract

The invention discloses a modeling method for the two-dimensional cutting temperature of a carbon fiber-reinforced unidirectional laminate. A cutting temperature model is simplified according to the generation mechanism of cutting heat in the two-dimensional cutting process of the carbon fiber-reinforced unidirectional laminate, only the influence of the cutting heat of a third deformation zone which has a greater influence on the cutting temperature is taken into account, a frictional heat source is set as a planar heat source, the free surface of a workpiece and the free surface of a tool are set as heat insulation surfaces, and modeling on the two-dimensional cutting temperature of the carbon fiber-reinforced unidirectional laminate is simplified into a temperature field problem of a moving planar heat source; the radial thrust force based on a fiber direction angle of the carbon fiber-reinforced composite material is introduced into calculation of the frictional heat of the third deformation zone, and a fiber direction angle-based two-dimensional cutting temperature model of the carbon fiber-reinforced unidirectional laminate is obtained, so that the two-dimensional cutting temperature of the carbon fiber-reinforced unidirectional laminate can be predicted when the fiber direction angle changes through the two-dimensional cutting temperature model. A result predicted by the two-dimensional cutting temperature model built through the method can be applied to design and manufacture of a cutting tool for a carbon fiber-reinforced material, determination of cutting technology routes and parameters and determination of a cutting cooling scheme.

Description

Modeling method for fibre reinforced unidirectional ply plywood two-dimensional cutting temperature
Technical field
The present invention relates to carbon fibre reinforced composite (CarbonFiberReinforcedPolymer, be called for short CFRP) machining, it is specifically related to a kind of modeling method for fibre reinforced unidirectional ply plywood two-dimensional cutting temperature based on fibrinopeptides A, belongs to machining manufacturing technology field.
Background technology
Carbon fibre reinforced composite (CarbonFiberReinforcedPolymer, it is called for short CFRP) there is significant property anisotropy, the anisotropic character of same CFRP cutting temperature is also very prominent, carbon fibre reinforced composite unidirectional ply plywood Orthogonal cutting thermal characteristics experimental study shows, fibrinopeptides A is one of key factor affecting CFRP cutting force thermal characteristics.Cutting temperature is not only decided by the various technological parameters causing cutting force to change, and is subject to the impact of the anisotropic mechanical property parameters of carbon fibre reinforced composite.The stock-removing efficiency of CFRP and cutting quality are directly subjected to the impact of cutting temperature, therefore, it is necessary to the cutting temperature feature under anisotropy is affected is studied.
In the heat in metal cutting and Temperature Modeling of carbon fibre reinforced composite, relevant research is relatively fewer, and research method is to test and finite element.Bao Yongjie etc. adopt finite difference calculus (FDM) to establish CFRP drilling and grinding drilling models for temperature field, and carbon fibre reinforced composite thermal characteristic parameter has been carried out Homogenization Treatments by model.P.S.Sreejith etc. adopt multiple regression analysis, based on parameters such as cutting speed, feed rate, thicknesses of cutting, establish the temperature prediction model adopting PCBN cutter turning CFRP, but model does not account for the impact of carbon fibre reinforced composite anisotropy mechanical characteristics.
In CFRP unidirectional ply plywood machining, the mechanism of production of cutting temperature is as follows:
1) CFRP material cutting power consumption less (compared with common carbon steel metal material), the heat in metal cutting of generation is also less accordingly, and cutting temperature is relatively low；
2) CFRP material form of chip in machining is that Powdered and carbon fiber heat conductivity is bigger, the cutting heat produced in primary deformation zone and second deformation zone is taken away by Powdered chip substantially, and this partial heat is substantially without the temperature affecting cutter and workpiece；
3) CFRP material is a kind of material that resilience is comparatively serious of processing, cutting-in drag FpLevel is higher, at FpThe lower workpiece of impact contact the 3rd deformed area rubbed with knife face after cutter and can produce substantial amounts of heat in metal cutting, this part heat in metal cutting can conduct to knife face after workpiece and cutter and cause the rising of both temperature, the ascensional range of temperature and FpIt is directly proportional.
To sum up can obtaining, in the orthogonal cutting of CFRP material, the cutting temperature of cutter and workpiece is mainly by cutting-in drag FpThe 3rd leading deformed area frictional heat is contributed.
Through to existing literature search, not finding so far to consider under different fibrinopeptides A impacts, about the open report of CFRP two-dimensional cutting Temperature Modeling method.
Summary of the invention
The technical problem to be solved is for the deficiencies in the prior art, a kind of modeling method considering fibrinopeptides A impact for fibre reinforced unidirectional ply plywood two-dimensional cutting temperature is provided, in modeling process, the important parameter fibrinopeptides A θ of reflection carbon fibre reinforced composite anisotropic is introduced model, in combination with CFRP unidirectional ply plywood cutting temperature mechanism of production, establish to cut the CFRP unidirectional ply plywood two-dimensional cutting temperature model that in the 3rd deformed area, after cutter, between knife face and workpiece material, frictional heat source is main heat affected area.
The present invention solves its technical problem by the following technical programs:
A kind of modeling method for fibre reinforced unidirectional ply plywood two-dimensional cutting temperature, the cutting temperature model is simplified by it according to the mechanism of production of fibre reinforced unidirectional ply plywood two-dimensional cutting process heat in metal cutting, only consider the impact of the 3rd deformed area heat in metal cutting that cutting temperature impact is bigger, and frictional heat source is set as flat heat source, the Free Surface of workpiece and cutter is set as insulating surface simultaneously, the modeling of fibre reinforced unidirectional ply plywood two-dimensional cutting temperature is reduced to the temperature field problem of the flat heat source of movement.
Further, the calculating of the 3rd deformed area frictional heat introduces the cutting-in drag based on described carbon-fiber reinforced composite fiber deflection, obtain the fibre reinforced unidirectional ply plywood two-dimensional cutting temperature model based on fibrinopeptides A, enable this two-dimensional cutting temperature model to predict the two-dimensional cutting temperature of fibre reinforced unidirectional ply plywood when fibrinopeptides A changes.
Further, described modeling method comprises the following steps:
The first step, the two-dimensional cutting temperature model of fibre reinforced unidirectional ply plywood is simplified, only consider the impact of frictional heat source between knife face and workpiece after cutter in described 3rd deformed area, frictional heat source is set as flat heat source, the Free Surface of workpiece and cutter is all set as insulating surface simultaneously, thus the modeling of fibre reinforced unidirectional ply plywood two-dimensional cutting temperature is reduced to the temperature field problem of the flat heat source of movement, then the average temperature rising of surface of the work is:
Δ θ ‾ w = 0.754 R 3 q 3 k w a w L w V c - - - ( 1 )
In formula, q3It is the heat flow density of the 3rd deformed area, R3It is the percentage ratio of the 3rd incoming workpiece of deformed area total amount of heat, R3q3For the heat in incoming workpiece, kwFor the heat conductivity of workpiece material, aw=kw/ρcw, for the thermal diffusion coefficient of workpiece material, cwFor the specific heat capacity of workpiece material, ρ is the density of workpiece material, LwFor the flat heat source length of workpiece Yu tool contact, VcFor flat heat source translational speed on workpiece；
Second step, sets the 3rd deformed area frictional force work done and is completely converted into cutting heat, then the heat flow density of the 3rd deformed area is:
q 3 = F f V c L w t - - - ( 2 )
In formula, Ff=Fpμ, for the frictional force between workpiece and rear knife face, FpFor cutting-in drag, μ is coefficient of friction, and t is cutting width, LwT is the area of flat heat source, VcFor flat heat source translational speed on workpiece；
3rd step, sets when workpiece contacts the height of elastic recovery with knife face after cutter as the cutting edge blunt round radius of cutter, then the length L of flat heat sourcewFor:
Lw=rεcotα(3)
In formula, rεFor the cutting edge blunt round radius of cutter, α is tool clearance；
4th step, formula (1), formula (2) and formula (3) the average cutting temperature of the surface of the work caused by friction in the 3rd deformed area when obtaining fibre reinforced unidirectional ply plywood machining is:
θ ‾ w = 0.754 R 3 F p ( θ ) μV c k w L w t k w L w ρc w V c + θ 0 - - - ( 4 )
In formula, θ0For the original ambient temperature of workpiece material, R3It is the percentage ratio of the 3rd incoming workpiece of deformed area total amount of heat, determines by testing.
Another technical scheme of the present invention is as follows:
A kind of application of the above-mentioned modeling method for fibre reinforced unidirectional ply plywood two-dimensional cutting temperature, it adopts the fibre reinforced unidirectional ply plywood two-dimensional cutting temperature model based on fibrinopeptides A that described modeling method obtains to predict in working angles the two-dimensional cutting temperature of fibre reinforced unidirectional ply plywood when fibrinopeptides A change, and is used in the design of cutting tool of carbon fibre reinforcement and the determination of manufacture, Cutting Process route and parameter and working angles the determination of cooling scheme.
The invention has the beneficial effects as follows:
In the modeling process to fibre reinforced unidirectional ply plywood cutting temperature, the important parameter fibrinopeptides A θ of reflection CFRP anisotropic is introduced model, in combination with fibre reinforced unidirectional ply plywood cutting temperature mechanism of production, establish to cut the fibre reinforced unidirectional ply plywood two-dimensional cutting temperature model that after the 3rd deformed area cutter, between knife face and workpiece material, frictional heat source is main heat affected area, this the cutting temperature model can be used in design and the manufacture of the cutting tool of carbon fibre reinforcement, the determination of cooling scheme in the determination of Cutting Process route and parameter and working angles, reach technological equipment and scheme to more scientific rational effect.
Accompanying drawing explanation
Fig. 1 is embodiment of the present invention fibre reinforced unidirectional ply plywood cutting state schematic diagram.
Detailed description of the invention
The present invention proposes a kind of modeling method for fibre reinforced unidirectional ply plywood two-dimensional cutting temperature, in the modeling process to CFRP unidirectional ply plywood cutting temperature, the important parameter fibrinopeptides A θ of reflection carbon fibre reinforced composite anisotropic is introduced model, in combination with the mechanism of production of CFRP unidirectional ply plywood cutting temperature, establish to cut the CFRP unidirectional ply plywood two-dimensional cutting temperature model that in the 3rd deformed area, after cutter, between knife face and workpiece material, frictional heat source is main heat affected area.
The described modeling method for fibre reinforced unidirectional ply plywood two-dimensional cutting temperature includes: according to the mechanism of production of CFRP unidirectional ply plywood two-dimensional cutting process heat in metal cutting, the cutting temperature model is simplified, and only considers the impact of the 3rd deformed area heat in metal cutting that cutting temperature impact is bigger；Frictional heat source is assumed to be flat heat source, assumes that the Free Surface of workpiece and cutter is insulating surface simultaneously, the modeling of CFRP unidirectional ply plywood two-dimensional cutting temperature is reduced to the temperature field problem of plane of motion thermal source；The calculating of the 3rd deformed area frictional heat introduces the cutting-in drag based on fibrinopeptides A, thus obtaining the CFRP unidirectional ply plywood two-dimensional cutting temperature model based on fibrinopeptides A, this two-dimensional cutting temperature model is enable to predict the two-dimensional cutting temperature of fibre reinforced unidirectional ply plywood when fibrinopeptides A changes.
The present invention comprises the following steps:
The first step, the orthogonal cutting temperature model of CFRP unidirectional ply plywood is simplified, only consider the 3rd deformed area fix a cutting tool after the impact of frictional heat source between knife face and workpiece material, and frictional heat source is assumed to be flat heat source, assume that the Free Surface of workpiece and cutter is insulating surface simultaneously, the modeling of CFRP unidirectional ply plywood cutting temperature thus can be reduced to the temperature field problem of plane of motion thermal source, workpiece material is regarded as the object that semo-infinite is big, according to Fourier heat conduction law, then the average temperature rising that can obtain surface of the work is:
Δ θ ‾ w = 0.754 R 3 q 3 k w a w L w V c - - - ( 1 )
Wherein, q3It it is the heat flow density of the 3rd deformed area；R3Be the 3rd incoming workpiece of deformed area total amount of heat percentage ratio, namely the heat in incoming workpiece is R3q3；kwHeat conductivity for workpiece material；awFor the thermal diffusion coefficient of workpiece material, aw=kw/ρcw, cwFor the specific heat capacity of workpiece material, ρ is the density of workpiece material；LwFlat heat source length for workpiece material Yu tool contact；VcFor flat heat source translational speed on workpiece material.
Second step, it is assumed that the 3rd deformed area frictional force work is completely converted into cutting heat, then the heat flow density of the 3rd deformed area is represented by:
q 3 = F f V c L w t - - - ( 2 )
Wherein, FfFor the frictional force between workpiece material and rear knife face, Ff=Fpμ, FpFor cutting-in drag, μ is coefficient of friction；T is cutting width, LwT is the area of flat heat source；VcFor cutting speed.
3rd step, it is contemplated that CFRP material elastic recovery in machining is obvious, it is assumed that when CFRP workpiece material contacts with knife face after cutter, the height of elastic recovery is the cutting edge blunt round radius size of cutter, then the length L of flat heat sourcewIt is represented by:
Lw=rεcotα(3)
Wherein, rεFor cutting edge roundness blunt round radius；α is tool clearance.
4th step, simultaneous formula (1), (2), (3), can obtain CFRP material when machining in the 3rd deformed area by the average cutting temperature of surface of the work caused that rubs is:
θ ‾ w = 0.754 R 3 F p ( θ ) μV c k w L w t k w L w ρc w V c + θ 0 - - - ( 4 )
Wherein, θ0For the original ambient temperature of workpiece material, R3It is the percentage ratio of the 3rd incoming workpiece of deformed area total amount of heat, it is contemplated that this coefficient is affected by many factors such as workpiece material, cutter material, coating, cutting-tool angles, therefore determines R by test3To improve the precision of prediction of two-dimensional cutting temperature theoretical model.
Formula (4) is the theoretical model of the CFRP material two-dimensional cutting temperature only considered under the 3rd deformed area frictional heat impact, wherein Fp(θ) for obtaining based on the mechanical model of directivity cutting ratio energy, namely consider fibrinopeptides A θ, introduce the impact of CFRP material anisotropy.
Below in conjunction with accompanying drawing, embodiments of the invention are further described: the present embodiment is carried out premised on technical solution of the present invention, give detailed embodiment and concrete operating process, but protection scope of the present invention is not limited to following embodiment.
Embodiment
Refer to Fig. 1, the present embodiment adopts diamond coating for hard alloy fly cutter (anterior angle γ0=25 °, relief angle α=15 °, cutting edge blunt round radius rε=15um), workpiece material parameter (T700CFRP unidirectional ply plywood), thickness of cutting ac=20um, cutting speed Vc=200m/min, fibrinopeptides A θ=0 °, 90 ° (parallel, vertical), 30 °, 60 °, (along fiber), 120 °, 150 ° (inverse fibers) are as experiment parameter；The collection of cutting force is completed by Kistler-9272 dynamometer；Instantaneous cutting temperature is measured by the highly sensitive K type artifical Thermocouple of OMEGA-0.05mm.Fibre reinforced unidirectional ply plywood two-dimensional cutting Temperature Modeling based on fibrinopeptides A specifically includes following steps:
The first step, adopts same tool parameter (γ0=25 °, α=15 °, rε=15 μm, diamond coatings), identical cutting parameter (Vc=200m/min, ac=20 μm) carry out different fibrinopeptides A θ=0 °, 30 °, 60 °, 90 °, 120 °, 150 ° of lower T700CFRP unidirectional ply plywood Orthogonal cutting experiments, experiment schematic diagram is as it is shown in figure 1, obtain cutting-in dragAnd cutting temperature TcExperiment value as shown in table 1.
Table 1. experimental data
Second step, tests the cutter (γ adopted according to the present embodiment0=25 °, α=15 °, rε=15 μm, diamond coatings) and the mechanical-physical attribute of CFRP workpiece material (T700/LT-03A) obtain: μ=0.16, kω=1.51J/ (s m K), t=0.5cm, ρ=1.58 × 10-3kg/cm3, cω=0.18 × 103J/ (Kg K), θ0=18 DEG C.
3rd step, determines R by testing3To improve the precision of prediction of two-dimensional cutting temperature theoretical model, the CFRP unidirectional ply plywood cutting temperature result of the test when different fibrinopeptides A θ is substituted into formula (4), obtains R3Average value be about 18%.It is believed that, when same tool material (hard alloy+diamond point coating), workpiece material (T700/LT-03A), cutter geometry, the frictional heat that during orthogonal cutting CFRP material, the 3rd deformed area produces has the ratio of about 18% to enter workpiece material.
4th step, substitutes into above parameter, the CFRP material two-dimensional cutting temperature mode according to formula (4), andExperimental data, it is possible to obtaining the model prediction result shown in table 2, model predictive error is less than 17%.
Table 2. cutting temperature predicts the outcome
The determination of cooling scheme in the determination of the design of this cutting tool predicted the outcome for carbon fibre reinforcement and manufacture, Cutting Process route and parameter and working angles.

Claims (4)

1. the modeling method for fibre reinforced unidirectional ply plywood two-dimensional cutting temperature, it is characterized in that, the cutting temperature model is simplified by the mechanism of production according to fibre reinforced unidirectional ply plywood two-dimensional cutting process heat in metal cutting, only consider the impact of the 3rd deformed area heat in metal cutting that cutting temperature impact is bigger, and frictional heat source is set as flat heat source, the Free Surface of workpiece and cutter is set as insulating surface simultaneously, the modeling of fibre reinforced unidirectional ply plywood two-dimensional cutting temperature is reduced to the temperature field problem of the flat heat source of movement.
2. the modeling method for fibre reinforced unidirectional ply plywood two-dimensional cutting temperature according to claim 1, it is characterized in that, the calculating of the 3rd deformed area frictional heat introduces the cutting-in drag based on described carbon-fiber reinforced composite fiber deflection, obtain the fibre reinforced unidirectional ply plywood two-dimensional cutting temperature model based on fibrinopeptides A, enable this two-dimensional cutting temperature model to predict the two-dimensional cutting temperature of fibre reinforced unidirectional ply plywood when fibrinopeptides A changes.
3. the modeling method for fibre reinforced unidirectional ply plywood two-dimensional cutting temperature according to claim 2, it is characterised in that described modeling method comprises the following steps:
The first step, the two-dimensional cutting temperature model of fibre reinforced unidirectional ply plywood is simplified, only consider the impact of frictional heat source between knife face and workpiece after cutter in described 3rd deformed area, frictional heat source is set as flat heat source, the Free Surface of workpiece and cutter is all set as insulating surface simultaneously, thus the modeling of fibre reinforced unidirectional ply plywood two-dimensional cutting temperature is reduced to the temperature field problem of the flat heat source of movement, then the average temperature rising of surface of the work is:
Δ θ ‾ w = 0.754 R 3 q 3 k w a w L w V c - - - ( 1 )
In formula, q3It is the heat flow density of the 3rd deformed area, R3It is the percentage ratio of the 3rd incoming workpiece of deformed area total amount of heat, R3q3For the heat in incoming workpiece, kwFor the heat conductivity of workpiece material, aw=kw/ρcw, for the thermal diffusion coefficient of workpiece material, cwFor the specific heat capacity of workpiece material, ρ is the density of workpiece material, LwFor the flat heat source length of workpiece Yu tool contact, VcFor flat heat source translational speed on workpiece；
Second step, sets the 3rd deformed area frictional force work done and is completely converted into cutting heat, then the heat flow density of the 3rd deformed area is:
q 3 = F f V c L w t - - - ( 2 )
In formula, Ff=Fpμ, for the frictional force between workpiece and rear knife face, FpFor cutting-in drag, μ is coefficient of friction, and t is cutting width, LwT is the area of flat heat source, VcFor flat heat source translational speed on workpiece；
3rd step, sets when workpiece contacts the height of elastic recovery with knife face after cutter as the cutting edge blunt round radius of cutter, then the length L of flat heat sourcewFor:
Lw=rεcotα(3)
In formula, rεFor the cutting edge blunt round radius of cutter, α is tool clearance；
4th step, formula (1), formula (2) and formula (3) the average cutting temperature of the surface of the work caused by friction in the 3rd deformed area when obtaining fibre reinforced unidirectional ply plywood machining is:
θ ‾ w = 0.754 R 3 F p ( θ ) μV c k w L w t k w L w ρc w V c + θ 0 - - - ( 4 )
In formula, θ0For the original ambient temperature of workpiece material, R3It is the percentage ratio of the 3rd incoming workpiece of deformed area total amount of heat, determines by testing.
4. for the application of the modeling method of fibre reinforced unidirectional ply plywood two-dimensional cutting temperature described in a claim 1, it is characterized in that, adopt the fibre reinforced unidirectional ply plywood two-dimensional cutting temperature model based on fibrinopeptides A that described modeling method obtains to predict in working angles the two-dimensional cutting temperature of fibre reinforced unidirectional ply plywood when fibrinopeptides A change, and be used in the design of cutting tool of carbon fibre reinforcement and the determination of manufacture, Cutting Process route and parameter and working angles the determination of cooling scheme.
CN201610111307.8A 2016-02-29 2016-02-29 Modeling method for two-dimensional cutting temperature of carbon fiber-reinforced unidirectional laminate Pending CN105787179A (en)

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Cited By (3)

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Publication number Priority date Publication date Assignee Title
CN110032787A (en) * 2019-04-04 2019-07-19 天津职业技术师范大学(中国职业培训指导教师进修中心) The method for solving of isotropism multilayer coating system half-plane two-dimensional temperature field in the case where surface line is distributed mobile frictional heat source effect
CN110069837A (en) * 2019-04-04 2019-07-30 天津职业技术师范大学(中国职业培训指导教师进修中心) The method for solving of transverse isotropy multilayer coating system half-space surface three-dimensional temperature field under the mobile frictional heat source effect of EDS maps
CN114324146A (en) * 2021-12-31 2022-04-12 华侨大学 Method for predicting dynamic scratch elastic recovery

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Cited By (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN110032787A (en) * 2019-04-04 2019-07-19 天津职业技术师范大学(中国职业培训指导教师进修中心) The method for solving of isotropism multilayer coating system half-plane two-dimensional temperature field in the case where surface line is distributed mobile frictional heat source effect
CN110069837A (en) * 2019-04-04 2019-07-30 天津职业技术师范大学(中国职业培训指导教师进修中心) The method for solving of transverse isotropy multilayer coating system half-space surface three-dimensional temperature field under the mobile frictional heat source effect of EDS maps
CN110069837B (en) * 2019-04-04 2023-06-09 天津职业技术师范大学(中国职业培训指导教师进修中心) Solving method of three-dimensional temperature field of transverse isotropy multilayer coating system
CN114324146A (en) * 2021-12-31 2022-04-12 华侨大学 Method for predicting dynamic scratch elastic recovery

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