CN104007704A - Method for calculating practical effect cutting angles of parameterized numerical control end mill - Google Patents
Method for calculating practical effect cutting angles of parameterized numerical control end mill Download PDFInfo
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- CN104007704A CN104007704A CN201410264556.1A CN201410264556A CN104007704A CN 104007704 A CN104007704 A CN 104007704A CN 201410264556 A CN201410264556 A CN 201410264556A CN 104007704 A CN104007704 A CN 104007704A
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Abstract
The invention relates to a method for calculating practical effect cutting angles of a parameterized numerical control end mill, and belongs to the field of computer-assisted machining. The method includes the first step of conducting preparations, the second step of selecting machining features which contains plane machining or curved surface machining, the third step of inputting cutter parameters and machining parameters of the cutters, the fourth step of carrying out parameter calculation and simulation which is completed according to the cutter parameters, machining parameters of the cutters and related information, and the fifth step of ending calculation of the practical effect cutting angles of the parameterized numerical control end mill. By the adoption of the method, practical effect front angles, practical effect rear angles and other related machining parameters of the cutters can be accurately worked out only through 10-15 seconds, and the method has great significance in improving quality and efficiency of numerical control machining and researching numerical control machining.
Description
Technical field
The invention provides a kind of computing method of parametrization numerical control end mill practical function cutting angle, and the method is applicable to parametrization numerical control end mill practical function cutting angle and calculates, and belongs to Computer-aided Machine manufacture field.
Background technology
Along with the development of CNC processing technology, numerically-controlled machine has been applied to processing manufacturing industry at large, especially numerical control milling processing.And the structural parameters of numerical control end mill have direct impact to the quality of digital control processing and efficiency, especially affect the main parameter of cutter---anterior angle and relief angle, and say accurately it should is practical function anterior angle and the relief angle in cutting process of cutter, rather than design anterior angle and relief angle.Therefore it is very important, calculating accurately numerical control end mill practical function cutting angle.And traditional cutter uses design anterior angle and the relief angle of only considering cutter with study general, numerical control cut quality and efficiency analysis are had to certain error with research, be also unfavorable for improving numerical control cutting crudy and efficiency, thereby be badly in need of improvement.
Summary of the invention
The object of the invention is to propose a kind of parametrization numerical control end mill layout design method;
The object of the invention is achieved through the following technical solutions:
Computing method for parametrization numerical control end mill practical function cutting angle, is characterized in that, step is as follows:
(1) start
(2) Choice and process feature: plane machining or Machining of Curved Surface;
(3) input cutter parameters and Cutting Parameters thereof, specifically comprise: tool diameter; Cutting edge quantity; Tool Design anterior angle; Tool Design relief angle; Cutter rotating speed; Speed of feed; Radial cutting surplus; The radius-of-curvature of curved surface;
(4) calculation of parameter and simulation: according to cutter parameters and Cutting Parameters and relevant information, complete calculation of parameter and simulation;
(5) parametrization numerical control end mill practical function cutting angle calculates and finishes.
Described parameter calculation procedure comprises: calculating parameter has practical function anterior angle, practical function relief angle, monodentate thickness of cutting, maximum effect anterior angle, least action relief angle;
Circular is as follows:
1. practical function anterior angle=design (or static) anterior angle+anterior angle variable quantity
γ＝γ
0+Δγ
Wherein, γ is practical function anterior angle, γ
0for design (or static) anterior angle, Δ γ is anterior angle variable quantity;
Described Δ γ=arcos ((V
c 2+ V
0 2-f
2)/(2V
c 2v
0 2))
Wherein, V
cfor the linear velocity of cutting, f is the speed of feed of cutting, V
ofor V
csynthetic speed of feed with f; And
V
c＝π×d×n
V
0 2＝f
2+V
c 2-2fV
0Cos(α
1)
Cos(α
1)＝(r-a
e)/r
Wherein, r is tool radius, and d is tool diameter, the rotating speed that n is cutter, a
eradial cutting thickness;
2. practical function relief angle=design (or static) relief angle-relief angle variable quantity
α＝α
0+Δα
Wherein, α is practical function relief angle, and α 0 is design (or static) relief angle, and Δ α is relief angle variable quantity, and, Δ α=Δ γ;
3. monodentate thickness of cutting
For plane machining, monodentate thickness of cutting t is:
Monodentate thickness of cutting=speed of feed ÷ rotating speed ÷ cutter the number of teeth * Cos (practical function anterior angle)
t＝f÷n÷z×Cos(Δγ)
Wherein, the number of teeth that z is cutter;
For Machining of Curved Surface, monodentate thickness of cutting t is:
t＝f÷n÷z×Sin(ω)
ω＝arcos[(r
2+Δr
2-(R-ae)
2)÷(2×Δr×r)]
Wherein, R is curvature of curved surface radius, and Δ r is the absolute value of the difference of curvature of curved surface radius and tool radius;
4. maximum effect anterior angle: maximum effect anterior angle is exactly the practical function anterior angle when radial cutting thickness equals tool radius;
5. least action relief angle: maximum effect relief angle is exactly the practical function relief angle when radial cutting thickness equals tool radius.
Described parameter simulation is to realize cutting state simulation according to input cutter, Cutting Parameters and the dynamic parameter calculating and depth of cut etc.
The advantage of the invention: parametrization numerical control end mill practical function cutting angle computing method can calculate cutter practical function anterior angle, relief angle and other related processing parameters exactly.Applying this invention technology only needs the time of 10～15 seconds just can calculate cutter practical function anterior angle, relief angle and other related processing parameters, therefore, to improving the research of numerical control cutting crudy and efficiency and numerical control cutting processing, there is extremely important meaning.
Accompanying drawing explanation
Fig. 1 is the general flow chart of parametrization numerical control end mill practical function cutting angle computing method.
Embodiment
Design philosophy of the present invention is, as long as cutter NC Machining Program personnel pass through computer interface, from keyboard input cutter and Cutting Parameters thereof, computing machine will calculate numerical control end mill practical function cutting angle automatically so, and automatically complete the calculating of the correlation parameters such as monodentate thickness of cutting, maximum effect anterior angle, least action relief angle, monodentate thickness of cutting, maximum effect anterior angle, least action relief angle.
Computing method for parametrization numerical control end mill practical function cutting angle, as shown in Figure 1, comprise the steps:
(1) parametrization numerical control end mill practical function cutting angle calculates and starts;
(2) Choice and process feature: plane machining or Machining of Curved Surface;
(3) input cutter parameters and Cutting Parameters thereof;
Comprise: tool diameter; Cutting edge quantity; Tool Design anterior angle; Tool Design relief angle; Cutter rotating speed; Speed of feed; Radial cutting surplus; The radius-of-curvature of curved surface;
(4) calculation of parameter and simulation: according to cutter parameters and Cutting Parameters and relevant information, complete calculation of parameter and simulation.
Wherein calculation of parameter comprises: main calculating parameter has practical function anterior angle, practical function relief angle, monodentate thickness of cutting, maximum effect anterior angle, least action relief angle.
Circular is as follows:
1. practical function anterior angle=design (or static) anterior angle+anterior angle variable quantity
γ＝γ
0+Δγ
Wherein, γ is practical function anterior angle, γ
0for design (or static) anterior angle, Δ γ is anterior angle variable quantity.
Δγ＝arcos((V
c 2+V
0 2-f
2)/(2V
C 2V
0 2))
Wherein, V
cfor the linear velocity of cutting, f is the speed of feed of cutting, V
0for V
csynthetic speed of feed with f.And
V
c＝π×d×n
V
0 2＝f
2+V
c 2-2fV
0Cos(α
1)
Cos(α
1)＝(r-a
e)/r
Wherein, r is tool radius, and d is tool diameter, the rotating speed that n is cutter, a
eradial cutting thickness.
2. practical function relief angle=design (or static) relief angle-relief angle variable quantity
α＝α
0+Δα
Wherein, α is practical function relief angle, and α 0 is design (or static) relief angle, and Δ α is relief angle variable quantity, and, Δ α=Δ γ;
3. monodentate thickness of cutting
For plane machining, monodentate thickness of cutting t is:
Monodentate thickness of cutting=speed of feed ÷ rotating speed ÷ cutter the number of teeth * Cos (practical function anterior angle)
t＝f÷n÷z×Cos(Δγ)
Wherein, the number of teeth that z is cutter.
For Machining of Curved Surface, monodentate thickness of cutting t is:
t＝f÷n÷z×Sin(ω)
ω＝arcos[(r
2+Δr
2-(R-ae)
2)÷(2×Δr×r)]
Wherein, R is curvature of curved surface radius, and Δ r is the absolute value of the difference of curvature of curved surface radius and tool radius.
4. maximum effect anterior angle
Maximum effect anterior angle is exactly the practical function anterior angle when radial cutting thickness equals tool radius.
5. least action relief angle
Maximum effect relief angle is exactly the practical function relief angle when radial cutting thickness equals tool radius.
Simulation process after calculation of parameter comprises: cutting simulation Main Basis input cutter, Cutting Parameters and the dynamic parameter calculating and depth of cut etc. are realized cutting state simulation.
(5) parametrization numerical control end mill practical function cutting angle calculates and finishes.
Concrete application examples: this example is the calculation of parameter of the application one a kind of high-quality structural steel of numerical control end mill roughing that is 20mm diameter, and concrete computation process is as follows:
(1) plane machining calculation of parameter
A) processed cutter parameters and relevant information
Tool diameter=2Omm
Cutting edge quantity=4
Tool Design anterior angle=10 °
Tool Design relief angle=12 °
Cutter rotating speed=lOOOrpm
Speed of feed=1000mm/min
Radial cutting surplus (ae)=5mm
B) result of calculation
Practical function anterior angle=10.783 °
Practical function relief angle=11.217 °
Monodentate thickness of cutting=0.215mm
Maximum effect anterior angle=10.796 °
Least action relief angle=11.204 °
(2) Machining of Curved Surface calculation of parameter
A) processed cutter parameters and relevant information
Tool diameter=20mm
Cutting edge quantity=4
Tool Design anterior angle=10 °
Tool Design relief angle=12 °
Cutter rotating speed=600rpm
Speed of feed=500mm/min
Radial cutting surplus (ae)=5mm
Surface curvature radius=50mm
B) result of calculation
Practical function anterior angle=10.691 °
Practical function relief angle=11.309 °
Monodentate thickness of cutting=0.19mm
Maximum effect anterior angle=10.662 °
Least action relief angle=11.338 °
Input after above-mentioned processed cutter parameters and relevant information, this parametrization numerical control end mill practical function cutting degree computing method software will automatically complete numerical control end mill practical function cutting angle and calculate, and, only need the time of 5～10 seconds.The method has not only improved numerical control end mill practical function cutting angle counting yield, and, to improving the research of numerical control cutting crudy and efficiency and numerical control cutting processing, there is extremely important meaning.
Claims (3)
1. computing method for parametrization numerical control end mill practical function cutting angle, is characterized in that, step is as follows:
(1) start
(2) Choice and process feature: plane machining or Machining of Curved Surface;
(3) input cutter parameters and Cutting Parameters thereof, specifically comprise: tool diameter; Cutting edge quantity; Tool Design anterior angle; Tool Design relief angle; Cutter rotating speed; Speed of feed; Radial cutting surplus; The radius-of-curvature of curved surface;
(4) calculation of parameter and simulation: according to cutter parameters and Cutting Parameters and relevant information, complete calculation of parameter and simulation;
(5) parametrization numerical control end mill practical function cutting angle calculates and finishes.
2. the computing method of a kind of parametrization numerical control end mill practical function cutting angle according to claim 1, is characterized in that:
Described parameter calculation procedure comprises: calculating parameter has practical function anterior angle, practical function relief angle, monodentate thickness of cutting, maximum effect anterior angle, least action relief angle;
Circular is as follows:
1. practical function anterior angle=design anterior angle+anterior angle variable quantity
γ＝γ
0+Δγ
Wherein, γ is practical function anterior angle, γ
0for design anterior angle, Δ γ is anterior angle variable quantity;
Described Δ γ=arcos ((V
c 2+ V
0 2-f
2)/(2V
c 2v
0 2))
Wherein, V
cfor the linear velocity of cutting, f is the speed of feed of cutting, V
ofor V
csynthetic speed of feed with f; And
V
c＝π×d×n
V
0 2＝f
2+V
c 2-2fV
0Cos(α
1)
Cos(α
1)＝(r-a
e)/r
Wherein, r is tool radius, and d is tool diameter, the rotating speed that n is cutter, a
eradial cutting thickness;
2. practical function relief angle=design relief angle-relief angle variable quantity
α＝α
0+Δα
Wherein, α is practical function relief angle, and α 0 is design (or static) relief angle, and Δ α is relief angle variable quantity, and, Δ α=Δ γ;
3. monodentate thickness of cutting
For plane machining, monodentate thickness of cutting t is:
Monodentate thickness of cutting=speed of feed ÷ rotating speed ÷ cutter the number of teeth * Cos (practical function anterior angle)
t＝f÷n÷z×Cos(Δγ)
Wherein, the number of teeth that z is cutter;
For Machining of Curved Surface, monodentate thickness of cutting t is:
t＝f÷n÷z×Sin(ω)
ω＝arcos[(r
2+Δr
2-(R-a
e)
2)÷(2×Δr×r)]
Wherein, R is curvature of curved surface radius, and Δ r is the absolute value of the difference of curvature of curved surface radius and tool radius;
4. maximum effect anterior angle: maximum effect anterior angle is exactly the practical function anterior angle when radial cutting thickness equals tool radius;
5. least action relief angle: maximum effect relief angle is exactly the practical function relief angle when radial cutting thickness equals tool radius.
3. the computing method of a kind of parametrization numerical control end mill practical function cutting angle according to claim 1, is characterized in that: described parameter simulation is to realize cutting state simulation according to input cutter, Cutting Parameters and the dynamic parameter calculating and depth of cut etc.
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Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110347963A (en) * | 2019-07-10 | 2019-10-18 | 上海理工大学 | The calculation method of micro- minimum reciprocating feed number of milling Compound Machining |
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2014
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Patent Citations (3)
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| CN101763067A (en) * | 2009-12-15 | 2010-06-30 | 沈阳飞机工业（集团）有限公司 | Quick generation method of numerical control machining scheme of complex parts of airplane |
| CN102825311A (en) * | 2012-09-12 | 2012-12-19 | 沈阳飞机工业（集团）有限公司 | Numerical control machining method of curved surface |
| CN103454973A (en) * | 2013-09-18 | 2013-12-18 | 沈阳飞机工业（集团）有限公司 | Numerical control machining programming method of spiral groove of parameterized numerical control end mill |
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Cited By (2)
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|---|---|---|---|---|
| CN110347963A (en) * | 2019-07-10 | 2019-10-18 | 上海理工大学 | The calculation method of micro- minimum reciprocating feed number of milling Compound Machining |
| CN110347963B (en) * | 2019-07-10 | 2023-07-07 | 上海理工大学 | Method for calculating minimum reciprocating feeding times of micro-milling and grinding combined machining |
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Application publication date: 20140827 |