CN101866164A - Enveloping sphere curved surface numerical control processing method - Google Patents
Enveloping sphere curved surface numerical control processing method Download PDFInfo
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- CN101866164A CN101866164A CN 201010124547 CN201010124547A CN101866164A CN 101866164 A CN101866164 A CN 101866164A CN 201010124547 CN201010124547 CN 201010124547 CN 201010124547 A CN201010124547 A CN 201010124547A CN 101866164 A CN101866164 A CN 101866164A
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Abstract
The invention relates to an enveloping sphere curved surface numerical control processing method which comprises the steps of: 1, inputting R, d, r, L and H values; 2, establishing a part surface digifax and a tool blade digifax, wherein the part surface digifax is x2+y2+z2=R2, and the tool blade digifax is x2+y2=(d/2-r+/-(r2-(z-((R+r)2-(d/2-r)2)0.5)2)0.5); 3, calculating a tool initial angle value alpha o and an included angle delta alpha between every two adjacent ring cutting axle lines, calculating a limit value alpha e of a tool deflection angle and cutter spacing coordinates O(x, y, z, A and B) of a processing starting point; 4, judging that alpha is more than alpha e; 5, calculating cutter spacing coordinates of the next processing sphere surface; 6, carrying out once spherical surface processing; 7, adding an angle increment interpolating value delta alpha on the tool deflection angle alpha; 8, calculating the tool spacing coordinates of the last processing spherical surface; and 9, carrying out the last spherical surface processing. The invention has the advantages of good surface quality and high efficiency.
Description
Technical field: the method that the present invention relates to the digital control processing of sphere curved surface envelope method.
Background technology: the nc program of traditional spheroidal curved surface mainly is that the CAM software of using in the market (as Pro_E, UG, CATIA, SolidWork etc.) is realized.And these CAM softwares are based on NC program development software general, non intelligentization basically, thereby, use the NC program that these software generates and to realize that by the mode of motion of " a some position interpolation " equidistant row is cut or ring cutting adds industry control control, such machining control just will inevitably make surface to be machined produce uneven remaining surplus, thereby the programming quality of sphere curved surface is poor; Use these softwares and carry out the nc program design, program segment is many, and program design is very loaded down with trivial details, very easily makes mistakes, and the nc program design efficiency is low; Because program segment is many and remaining surplus is inhomogeneous, makes Machining Path long, causes the path waste, working (machining) efficiency is low.
Summary of the invention: the purpose of this invention is to provide a kind of enveloping sphere curved surface numerical control processing method that improves sphere curved surface digital control processing quality, improves the sphere curved surface efficiency of numerical control (NC) machining; The objective of the invention is to realize by following step: enveloping sphere curved surface numerical control processing method, its step is as follows:
1) input part to be processed spherical radius R, the diameter d of cutter, blade radius r, tool length L, sphere height H;
2) set up the processing mathematical model of part to be processed surface and cutter blade: the piece surface mathematical model is the sphere mathematical model, cutter blade mathematical model is a blade rotary surface mathematical model, and following mathematical model all is that true origin is set up with the sphere centre:
(1) the piece surface mathematical model is the sphere mathematical model:
x
2+y
2+z
2＝R
2
(2) cutter blade mathematical model is a blade rotary surface mathematical model:
x
2+y
2＝(d/2-r±(r
2-(z-((R+r)
2-(d/2-r)
2)
0.5)
2)
0.5)
2
3) calculate envelope ring cutting process tool initial angle value α
0And the angle Δ α between the tool axis between the adjacent ring cutting, calculate and satisfy the ultimate value α of sphere process tool drift angle
e, envelope when processing lathe revolving shaft intersection point O to the length distance D of the centre of sphere and the cutter location O of sphere machining starting point (x, y, z, A, B);
4) whether the sail angle of judging the ring cutting process tool is greater than the ultimate value α of cutter drift angle
eIf judged result is for being then to enter step 8); If judged result then enters step 5) for not;
5) if the judged result in the step 4) for not, then calculate the cutter location O that next time processes the digital control processing of spherical envelope ring cutting (x, y, z, A, B);
6) the envelope ring cutting digital control processing of carrying out once processed sphere is controlled;
7) the cutter drift angle value α of envelope ring cutting digital control processing adds an angle step interpolation value Δ α, returns step 4) and judges;
8) with the ultimate value α of cutter drift angle
eAssignment and α, calculate the digital control processing of last processing spherical envelope ring cutting cutter location O (x, y, z, A, B);
9) the envelope ring cutting digital control processing of carrying out last processed sphere is controlled;
10) the envelope method digital control processing of sphere curved surface control finishes.
Advantage of the present invention: because the present invention adopts the envelope method numeral control processing method, processing has realized the numeral control processing method of " line moves into face " to sphere curved surface, and is better than the surface quality that traditional equidistant row is cut or ring cutting is processed, the efficient height; The envelope method numeral control processing method, program segment is few, and the probability of makeing mistakes reduces, so the programming efficiency height.
Description of drawings:
Fig. 1 is that enveloping sphere curved surface numerical control processing method is processed protruding sphere curved surface and cutter interpolation parameters synoptic diagram;
Fig. 2 is enveloping sphere curved surface numerical control processing method processing concave ball shape curved surface and cutter interpolation parameters synoptic diagram;
Fig. 3 carries out envelope with the circular knife indexable face milling cutter to process protruding sphere curved surface method synoptic diagram;
Fig. 4 carries out envelope processing concave ball shape surface methodology synoptic diagram with the circular knife indexable face milling cutter;
Fig. 5 is the part to be processed structural front view;
Fig. 6 is a design of part schematic three dimensional views shown in Figure 5;
Fig. 7 is an enveloping sphere curved surface numerical control processing method step synoptic diagram.
Among the figure: O cutter location D machine tool rotary axle intersection point O is to the diameter α of the length distance L tool length r blade radius d cutter of the centre of sphere
0Envelope ring cutting process tool initial angle value α
eThe ultimate value α drift angle value Δ α envelope ring cutting process tool initial angle value α of cutter drift angle
0And the angle H sphere height between the tool axis between the adjacent ring cutting
Embodiment: enveloping sphere curved surface numerical control processing method, its step is as follows:
1) input part to be processed spherical radius R, the diameter d of cutter, blade radius r, tool length L, sphere height H;
2) set up the processing mathematical model of part to be processed surface and cutter blade: the piece surface mathematical model is the sphere mathematical model, cutter blade mathematical model is a blade rotary surface mathematical model, and following mathematical model all is that true origin is set up with the sphere centre:
(1) the piece surface mathematical model is the sphere mathematical model:
x
2+y
2+z
2＝R
2
(2) cutter blade mathematical model is a blade rotary surface mathematical model:
x
2+y
2＝(d/2-r±(r
2-(z-((R+r)
2-(d/2-r)
2)
0.5)
2)
0.5)
2
3) calculate envelope ring cutting process tool initial angle value α
0And the angle Δ α between the tool axis between the adjacent ring cutting, calculate and satisfy the ultimate value α of sphere process tool drift angle
e, envelope when processing lathe revolving shaft intersection point O to the length distance D of the centre of sphere and the cutter location O of sphere machining starting point (x, y, z, A, B);
4) whether the sail angle of judging the ring cutting process tool is greater than the ultimate value α of cutter drift angle
eIf judged result is for being then to enter step 8); If judged result then enters step 5) for not;
5) if the judged result in the step 4) for not, then calculate the cutter location O that next time processes the digital control processing of spherical envelope ring cutting (x, y, z, A, B);
6) the envelope ring cutting digital control processing of carrying out once processed sphere is controlled;
7) the cutter drift angle value α of envelope ring cutting digital control processing adds an angle step interpolation value Δ α, returns step 4) and judges;
8) with the ultimate value α of cutter drift angle
eAssignment and α, calculate the digital control processing of last processing spherical envelope ring cutting cutter location O (x, y, z, A, B);
9) the envelope ring cutting digital control processing of carrying out last processed sphere is controlled;
10) the envelope method digital control processing of sphere curved surface control finishes.
Example:
Sphere curved surface numerical control processing method, its step is as follows:
1), input part to be processed spherical radius R, the diameter d of cutter, tool radius r, tool length L, sphere height H; With Fig. 5, Figure 6 shows that example, part to be processed spherical radius R=178mm is with Fig. 1, Fig. 2, Fig. 3 and shown in Figure 4, the diameter d=66mm of cutter, tool radius r=8mm, tool length L=300mm, sphere height H=180mm;
2), set up the processing mathematical model of part to be processed surface and cutter blade: the piece surface mathematical model is the sphere mathematical model, cutter blade mathematical model is a blade rotary surface mathematical model, and following mathematical model all is that true origin is set up with the sphere centre:
(1), the piece surface mathematical model is the sphere mathematical model:
x
2+y
2+z
2＝R
2
(2), cutter blade mathematical model is a blade rotary surface mathematical model:
x
2+y
2＝(d/2-r±(r
2-(z-((R+r)
2-(d/2-r)
2)
0.5)
2)
0.5)
2；
According to part to be processed sphere (the top face of cylinder that do not occur) radius R=178mm and sphere height that step 1) is imported, H=180mm sets up part to be processed surface working mathematical model automatically, and is true origin with the center of sphere;
The tool diameter d=66mm that imports according to step 1, tool radius r=8mm, tool length L=300mm sets up part to be processed surface working mathematical model automatically, comprises that the cutter circular shear blade turns round formed annulus surface and the cutter end face center length L to machine tool rotary axle intersection point;
3), calculate envelope ring cutting process tool initial angle value α
0And the angle Δ α between the tool axis between the adjacent ring cutting, calculate and satisfy the ultimate value α of sphere process tool drift angle
e, envelope when processing lathe revolving shaft intersection point O is to the length distance D of the centre of sphere and the cutter location O of sphere machining starting point (x, y, z, A, B);
According to the mathematical model that step 2 is set up, (for protruding sphere) calculates the initial angle value α of envelope ring cutting process tool
0=sin
-1((d-2r)/(2R+2R)) and with α
0Value is composed and is given α; Angle Δ α=2 α between the adjacent ring cutting between the tool axis
0Calculating satisfy sphere process tool drift angle ultimate value α
e=pi/2-α
0-sin
-1((R-H+r)/(R+r)); Lathe revolving shaft intersection point is to the length distance D=L+Rcos (α of the centre of sphere during envelope processing
0); Coordinate figure x=0, y=0, z=D, A=0, the B=0 of job sequence starting point cutter spacing O;
4), whether the sail angle of judging the ring cutting process tool is greater than the ultimate value α of cutter drift angle
e
5) if the judged result in the step 4) for not, then calculates the cutter location O (x, y, z, A, B) that processes the digital control processing of spherical envelope ring cutting next time;
6), carry out once the envelope ring cutting digital control processing control of processed sphere;
7), finish according to step 6) processing one deck after, α drift angle value is added an angle step interpolation value Δ α; Be α=α+Δ α (assignment expression), the angle interpolation value of this moment is an accumulating value, the angle parameter α that increases the angle step interpolation value is returned step 4) judge;
8), in the step 4) if judged result for being, with the ultimate value α of cutter drift angle
eAssignment and α calculate the cutter location O (x, y, z, A, B) of last processing spherical envelope ring cutting digital control processing;
9), carry out the envelope ring cutting digital control processing of last processed sphere;
10), the envelope method digital control processing of sphere curved surface control finishes.
This parametrization sphere curved surface digital control processing control system system method, adopt the envelope method CNC processing technology to realize remaining surplus processing such as sphere curved surface, changed that traditional equidistant row is cut or the job operation of inhomogeneous remaining surplus that ring cutting produces, thereby improved the quality of surface to be machined; Realize the shortest cutting path processing, gone through to the purpose that improves working (machining) efficiency; Because this sphere curved surface numerical control processing method is the design of parametrization nc program, therefore, its program design is with the CAM software on the market, want easily as the traditional spheroidal curved surface numerical control processing method program of designs such as Pro_E, UG, CATIA, SolidWork, also reduced the trial cut time simultaneously, the probability of makeing mistakes is low, whenever process once, recalculate the tool position, so program segment has reduced the operational efficiency of raising program.Therefore roughing efficient can improve at least 1 times, and finishing efficient is can increase rate bigger.
Claims (1)
1. enveloping sphere curved surface numerical control processing method, its step is as follows:
1) input part to be processed spherical radius R, the diameter d of cutter, blade radius r, tool length L, sphere height H;
2) set up the processing mathematical model of part to be processed surface and cutter blade: the piece surface mathematical model is the sphere mathematical model, cutter blade mathematical model is a blade rotary surface mathematical model, and following mathematical model all is that true origin is set up with the sphere centre:
(1) the piece surface mathematical model is the sphere mathematical model:
x
2+y
2+z
2＝R
2
(2) cutter blade mathematical model is a blade rotary surface mathematical model:
x
2+y
2＝(d/2-r±(r
2-(z-((R+r)
2-(d/2-r)
2)
0.5)
2)
0.5)
2
3) calculate envelope ring cutting process tool initial angle value α
0And the angle Δ α between the tool axis between the adjacent ring cutting, calculate and satisfy the ultimate value α of sphere process tool drift angle
e, envelope when processing lathe revolving shaft intersection point O to the length distance D of the centre of sphere and the cutter location O of sphere machining starting point (x, y, z, A, B);
4) whether the sail angle of judging the ring cutting process tool is greater than the ultimate value α of cutter drift angle
eIf judged result is for being then to enter step 8); If judged result then enters step 5) for not;
5) if the judged result in the step 4) for not, then calculate the cutter location O that next time processes the digital control processing of spherical envelope ring cutting (x, y, z, A, B);
6) the envelope ring cutting digital control processing of carrying out once processed sphere is controlled;
7) the cutter drift angle value α of envelope ring cutting digital control processing adds an angle step interpolation value Δ α, returns step 4) and judges;
8) with the ultimate value α of cutter drift angle
eAssignment and α, calculate the digital control processing of last processing spherical envelope ring cutting cutter location O (x, y, z, A, B);
9) the envelope ring cutting digital control processing of carrying out last processed sphere is controlled;
10) the envelope method digital control processing of sphere curved surface control finishes.
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|---|---|---|---|
| CN 201010124547 CN101866164A (en) | 2010-03-16 | 2010-03-16 | Enveloping sphere curved surface numerical control processing method |
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|---|---|---|---|
| CN 201010124547 CN101866164A (en) | 2010-03-16 | 2010-03-16 | Enveloping sphere curved surface numerical control processing method |
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Cited By (8)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN102591260A (en) * | 2012-02-15 | 2012-07-18 | 西北工业大学 | Method for judging transient contact region of cutter and workpiece in five-axis milling process |
| CN102814539A (en) * | 2012-09-12 | 2012-12-12 | 沈阳飞机工业（集团）有限公司 | Numerical control milling processing method for convex spherical surfaces |
| 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 |
| CN105270702A (en) * | 2015-09-29 | 2016-01-27 | 航天材料及工艺研究所 | Uniform-thickness machining device and method for spherical crown face box bottom foam plastics of large-diameter thin-wall box |
| CN106020123A (en) * | 2015-03-30 | 2016-10-12 | 兄弟工业株式会社 | Control device, machine tool and control method |
| CN106334972A (en) * | 2016-09-18 | 2017-01-18 | 大连理工大学 | Method for judging cutting edge contact in ball-end mill plane machining |
| CN107179744A (en) * | 2017-06-12 | 2017-09-19 | 燕凌飞 | A kind of processing method of concave spherical curved surface |
| CN109396955A (en) * | 2017-08-16 | 2019-03-01 | 山东大学 | A kind of prediction of Turning Force with Artificial method and system towards whirlwind Envelope Milling technique |
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|---|---|---|---|---|
| US5419223A (en) * | 1992-07-13 | 1995-05-30 | Kubler; Albert | Turning machine for producing eccentric or convex geometries on current parts |
| CN100447689C (en) * | 2006-09-27 | 2008-12-31 | 沈阳飞机工业（集团）有限公司 | Spherical and cylindrical surface numeral control processing method |
-
2010
- 2010-03-16 CN CN 201010124547 patent/CN101866164A/en active Pending
Patent Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US5419223A (en) * | 1992-07-13 | 1995-05-30 | Kubler; Albert | Turning machine for producing eccentric or convex geometries on current parts |
| CN100447689C (en) * | 2006-09-27 | 2008-12-31 | 沈阳飞机工业（集团）有限公司 | Spherical and cylindrical surface numeral control processing method |
Cited By (11)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN102591260A (en) * | 2012-02-15 | 2012-07-18 | 西北工业大学 | Method for judging transient contact region of cutter and workpiece in five-axis milling process |
| CN102591260B (en) * | 2012-02-15 | 2013-11-06 | 西北工业大学 | Method for judging transient contact region of cutter and workpiece in five-axis milling process |
| CN102814539A (en) * | 2012-09-12 | 2012-12-12 | 沈阳飞机工业（集团）有限公司 | Numerical control milling processing method for convex spherical surfaces |
| 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 |
| CN106020123A (en) * | 2015-03-30 | 2016-10-12 | 兄弟工业株式会社 | Control device, machine tool and control method |
| CN106020123B (en) * | 2015-03-30 | 2019-06-18 | 兄弟工业株式会社 | Control device, lathe and control method |
| CN105270702A (en) * | 2015-09-29 | 2016-01-27 | 航天材料及工艺研究所 | Uniform-thickness machining device and method for spherical crown face box bottom foam plastics of large-diameter thin-wall box |
| CN106334972A (en) * | 2016-09-18 | 2017-01-18 | 大连理工大学 | Method for judging cutting edge contact in ball-end mill plane machining |
| CN107179744A (en) * | 2017-06-12 | 2017-09-19 | 燕凌飞 | A kind of processing method of concave spherical curved surface |
| CN109396955A (en) * | 2017-08-16 | 2019-03-01 | 山东大学 | A kind of prediction of Turning Force with Artificial method and system towards whirlwind Envelope Milling technique |
| CN109396955B (en) * | 2017-08-16 | 2020-11-20 | 山东大学 | Cutting force prediction method and system for cyclone envelope milling process |
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Application publication date: 20101020 |