CN100391691C - A precision machining method for single-head boss ridge type globoidal indexing cam profile surface - Google Patents
A precision machining method for single-head boss ridge type globoidal indexing cam profile surface Download PDFInfo
- Publication number
- CN100391691C CN100391691C CNB200610088125XA CN200610088125A CN100391691C CN 100391691 C CN100391691 C CN 100391691C CN B200610088125X A CNB200610088125X A CN B200610088125XA CN 200610088125 A CN200610088125 A CN 200610088125A CN 100391691 C CN100391691 C CN 100391691C
- Authority
- CN
- China
- Prior art keywords
- cam
- ixiu
- cutter path
- correction
- section
- 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.)
- Expired - Fee Related
Links
Images
Landscapes
- Numerical Control (AREA)
Abstract
The present invention relates to a finishing processing method for the profile surface of a single-head convex ridge type globoidal indexing cam. The present invention is characterized in that a trace of a cutter processed with an ordinary generation method is corrected to process the work profile surface of the globoidal indexing cam; the work profile surface of the indexing section of the globoidal indexing cam is divided into four sections 1L, 2R, 2L and 3R; the trace of the processed cutter is corrected and analyzed to give a correction computing formula of the trace of the cutter. The present invention improves the ordinary generation processing method to necessarily correct the work profile surface of the globoidal indexing cam to be favourable for preventing the engagement interference of a roller and the profile surface of the cam, making the section (with a smaller pressure angle) with better meshing transmission characteristic perform the main meshing transmission function and improving the processing quality of an equivalent processing method for the cam. The trace of the cutter is corrected, and when an equivalent cutter is used for finishing processing, the present invention is favourable for improving the adverse processing phenomena that the cam at one side of the equivalent cutter is in down cutting and the cam at the other side of the equivalent cutter is in up cutting.
Description
Technical field
The present invention relates to a kind of processing method of cam, particularly a kind of single-head boss ridge type globoidal indexing cam profile surface method for fine finishing.
Background technology
Ferguson cam mechanism is realized index dial transposition and location by the wide face of the cam work on the power shaft, the continuous gyration of input can be converted into the intermittent-rotation motion of output.It is the indexing mechanism at a kind of intermittence of excellent working performance, is widely used in the various automations.Because the processing and manufacturing difficulty is bigger, thereby the process technology of ferguson cam mechanism is the important research problem of paying attention to always.
The key of ferguson cam mechanism processing and manufacturing is the processing of the wide face of cam work, normally adopts generation method to process at the Digit Control Machine Tool with two revolution coordinates.Add man-hour, cam body is done at the uniform velocity gyration, cutter reproduces the characteristics of motion of driven member, the distance of the cutter centre of gyration and the cam centre of gyration equals the theoretical center distance of mechanism, the radius of cutter equals the radius of driven member roller in the mechanism during fine finishining, just can process the contoured surface of cam so in theory error freely.Adopt a drawback of this traditional generation method processing arc surfaced indexing cam to be, the groove both sides of cam are participated in milling simultaneously, and a side is climb cutting, and opposite side is a upmilling, make that the wide face in processing back is of poor quality.At this problem, have mode by cutter radius compensation to realize the cam side Process, but this processing mode have theoretical error; Have by cam contour surface is used as free form surface and handle, adopt spherical cutter to carry out position processing, this processing mode belongs to a position processing mode, does not consider the envelope character of cam contour surface, and crudy is poor, and working (machining) efficiency is low; The side Process that realizes cam by double envelope processing mode is arranged, and this processing mode has method error, and working (machining) efficiency is not high yet.
Based on above analysis, the processing technology of arc surfaced indexing cam is further studied, to improve its machining accuracy and working (machining) efficiency, still have important significance for theories and real value.
Summary of the invention
Technical problem to be solved by this invention is at the deficiencies in the prior art, the common generation method processing method of single head convex ridge formula arc surfaced indexing cam working profile is improved, a kind of new arc surfaced indexing cam working profile method for fine finishing that performance is good, machining accuracy is high is provided.
Technical problem to be solved by this invention is to realize by following technical scheme.The present invention is a kind of single-head boss ridge type globoidal indexing cam profile surface method for fine finishing, be characterized in, by the cutter path correction of common generation method processing is processed the arc surfaced indexing cam working profile, the working profile of arc surfaced indexing cam calibration section is divided into 1L, 2R, 2L and 3R processes for four sections, method is as follows:
When (1) processing the 1L section, work as θ
i＜=θ
1jhThe time, not carrying out the cutter path correction, the process tool track is identical with common generation method process tool track; Work as θ
i＞θ
1jhThe time, carry out the cutter path correction, cutter path is on the basis of common generation method process tool track, to the moving angle delta φ of cam contour surface entity side plurality of pendulums
Ixiu(1L), Δ φ
Ixiu(1L) adopt following formula to calculate:
Δφ
ixiu(1L)＝φ
i-φ
ixiu(1L)＝S
xiu*Δφ
fxiu＝S
biao((θ
i-θ
1jh)/θ
f)*Δφ
fxiu
When (2) processing the 2R section, work as θ
i＜=θ
2RxiuThe time, do not carry out the cutter path correction; Work as θ
i＞θ
2RxiuThe time, carrying out the cutter path correction, modification method is to make cutter path on the basis of common generation method process tool track, to the moving angle delta φ of cam contour surface entity side plurality of pendulums
Ixiu(2R), Δ φ
Ixiu(2R) adopt following formula to calculate:
Δφ
ixiu(2R)＝φ
ixiu(2R)-φ
i＝S
xiu*Δφ
fxiu＝S
biao((θ
i-θ
2Rxiu)/θ
f)*Δφ
fxiu
When (3) processing the 2L section, work as θ
i＞=θ
2jhThe time, do not carry out the cutter path correction; Work as θ
i＜θ
2jhThe time, carry out the cutter path correction, cutter path is on the basis of common generation method process tool track, to the moving angle delta φ of cam contour surface entity side plurality of pendulums
Ixiu(2L), Δ φ
Ixiu(2L) adopt following formula to calculate:
Δφ
ixiu(2L)＝φ
i-φ
ixiu(2L)＝S
xiu*Δφ
fxiu＝(1-S
biao((θ
i+θ
f-θ
2jh)/θ
f))*Δφ
fxiu
When (4) processing the 3R section, work as θ
i＞=θ
3RxiuThe time, do not carry out the cutter path correction; Work as θ
i＜θ
3RxiuThe time, carrying out the cutter path correction, modification method is to make cutter path on the basis of common generation method process tool track, to the moving angle delta φ of cam contour surface entity side plurality of pendulums
Ixiu(3R), Δ φ
Ixiu(3R) adopt following formula to calculate:
Δ φ
Ixiu(3R)=φ
Ixiu(3R)-φ
i=S
Xiu* Δ φ
Fxiu=(1-S
Biao((θ
i+ θ
f-θ
3Rxiu)/θ
f)) * Δ φ
FxiuIn the aforementioned calculation formula,
θ
3Rxiu≤θ
2Rxiu＜θ
2jh≤θ
1jh
φ
iBe the roller angular displacement;
φ
Ixiu(1L) be tool angle displacement after the correction of 1L section cutter path;
S
XiuBe cutter path correction characteristics of motion non-dimensional displacement;
Δ φ
FxiuIt is cutter pivot angle maximum modified amount in the cam calibration cycle;
S
BiaoBe displacement of starting point place and the continuous characteristics of motion non-dimensional displacement of speed;
θ
iBe angular displacement of the cam;
θ
1jhAfter the correction of the flank shape of 1L face, roller withdraws from engagement terminating point cam angle;
θ
fBe cam calibration phase corner;
φ
Ixiu(2R) be tool angle displacement after the correction of 2R section cutter path;
θ
2RxiuAfter the correction of the flank shape of 2R face, roller withdraws from engagement terminating point cam angle;
φ
Ixiu(2L) be tool angle displacement after the correction of 2L section cutter path;
θ
2jhAfter the correction of the flank shape of 2L face, roller enters engagement starting point cam angle;
φ
Ixiu(3R) be tool angle displacement after the correction of 3R section cutter path;
θ
3RxiuAfter the correction of the flank shape of 3R face, roller enters engagement starting point cam angle;
Herein, the unit degree of being of relevant angle.
A kind of single-head boss ridge type globoidal indexing cam profile surface method for fine finishing of the present invention, its best applications mode is, cutter path computing formula according to processing method, calculate corresponding cutter path with computer program, regeneration NC code, the input Digit Control Machine Tool is realized the fine finishining of arc surfaced indexing cam working profile.
By the generation method of arc surfaced indexing cam processing basic principle as can be known, the angular displacement movement relation of clutch plate and cam, i.e. displacement curve in the camming movement rule, the machining coordinate that is equivalent to cutter and workpiece concern, i.e. cutting tool path.Thereby, can analyze the correction problem of cutter path by characteristics of motion displacement curve.At this,, four sections working profile being analyzed might as well be extended to the whole cam calibration cycle to consider for the convenience that studies a question.
Because the not correction of the flank shape of cam contour surface of positioning section so the working profile face of single head convex ridge formula arc surfaced indexing cam calibration section can be divided into four sections, is analyzed the process tool track correction situation of each section.Described four sections are respectively 1L, 2R, 2L and 3R section, these four sections are defined as follows: see that from the right side of camshaft camshaft is by being rotated counterclockwise, in this state, front from cam, the right side of convex ridge is the 1L section after cam begins to enter the calibration state, and the left side is the 2R section, and the right side of convex ridge is the 2L section before cam finishes the calibration state, the left side is the 3R section, sees the index of 1L, 2R, 2L and 3R section among Fig. 1 for details.
For the cam mechanism of low-speed motion situation, the inertia force of clutch plate is less than load and frictional force, and 2R and 3R section do not play the engaged transmission effect.In addition, also less demanding to the mechanism stability of low-speed motion.During to the cutter path correction, can carry out correction of the flank shape to the whole cam contour surface of 2R section and 3R section, and the part cam contour surface that needn't play engagement of 1L and 2L section is carried out correction of the flank shape, and carry out corresponding cutter path correction.
And the present invention will solve is under the high-speed motion situation, the processing problems of single head convex ridge formula arc surfaced indexing cam working profile.Under the high-speed motion situation, at the accelerating sections of cam mechanism, inertia force and load and frictional resistance in the same way, cam contour surface plays the effect that engagement promotes clutch plate; But at braking section, inertia force and load and frictional resistance are reverse, if speed arrives to a certain degree greatly, the situation of inertia force greater than load and frictional resistance then can appear, like this, cam will lose the effect that promotes clutch plate, limit the rotating disk motion but play with its contoured surface, and reach the effect that makes clutch plate carry out retarded motion according to the given characteristics of motion.In addition, for the ferguson cam mechanism of high-speed motion, carry out in strict accordance with the characteristics of motion of cam mechanism except guaranteeing gear motion, and will make cam mechanism have enough abilities that prevents shock and vibration, promptly need to consider spacing problem.For this reason, when the cutter of common generation method processing is revised, both needed to make cam mechanism roller engaged transmission to be connected mutually, needed to make spacing being effectively guaranteed all the time again in cam calibration section.During to the cutter path correction, be that the afterbody of 1L/2R section and the beginning of 2L/3R section are partly carried out correction of the flank shape, and carry out corresponding cutter path correction.
1. cutter path corrected Calculation
1) 1L section cutter path correction
When cam rotated into the calibration section by positioning section, the 1L face played engagement impetus promotion clutch plate and carries out dividing movement.For the roller engaged transmission is connected mutually, cam turns to after the certain angle, and other working profile enters engagement, and the 1L face withdraws from engagement.1L face rear is carried out correction of the flank shape, and need carry out in strict accordance with the characteristics of motion of cam mechanism the design and the processing of the engaged section of 1L face.After the correction, one intersegmental crack being arranged between contour surface and the roller surface, add man-hour, is to allow cutter move an angle to work convex ridge entity side plurality of pendulums on the basis of cam standard movement rule, thereby the convex ridge of this section is reamed a part more, realize the correction of the flank shape of this section contoured surface.Certainly, in order to make curved surface smooth, and motion steadily, should make the smooth connection of the Duan Yuwei section of practicing Buddhism or Taoism of practicing Buddhism or Taoism.Do not consider roller original position angle φ
0The time cutter path correction schematic diagram see Fig. 2.
Among Fig. 2, θ
iFor angular displacement of the cam (°); θ
fFor cam calibration phase corner (°); φ
fFor rotating disk calibration phase corner (°); φ
iFor the roller angular displacement (°) (solid line in the corresponding diagram), φ
IxiuTool angle displacement after the cutter path correction (°) (dotted line in the corresponding diagram); Δ φ
IxiuFor the cam calibration phase each constantly (each corner of cam) corresponding cutter pivot angle correction (°); θ
1jhAfter the correction of the flank shape of 1L face, roller withdraw from engagement terminating point cam angle (°); θ
2jhAfter the correction of the flank shape of 2L face, roller enter engagement starting point cam angle (°); θ
2RxiuAfter the correction of the flank shape of 2R face, roller withdraw from engagement terminating point cam angle (°); θ
3RxiuAfter the correction of the flank shape of 3R face, roller enter engagement starting point cam angle (°).
Work as θ
i＜=θ
1jhThe time, in order to guarantee the characteristics of motion of cam mechanism, do not carry out the cutter path correction, the cutter path of this section is equivalent to the roller track.
The roller track calculates by the standard movement rule, and formula is as follows:
φ
i＝S*φ
f (1)
φ＝φ
0+φ
i (2)
In the formula:
S---cam mechanism calibration section follower motion non-dimensional displacement
The position angle of φ---roller (°)
φ
0---roller original position angle (°)
For 1L, φ
0=φ
z/ 2, φ wherein
zFor the roller centre angle (°), in the single head cam, equal φ
fThe angular displacement of roller is 0 when the beginning calibration, is φ when the calibration phase finishes
f
Formula (1), (2) are traditional generation method process tool track computing formula.
Work as θ
i＞θ
1jhThe time, carry out the cutter path correction, in order to guarantee the correction of the flank shape section and do not carry out the smooth of correction of the flank shape section and be connected that the cutter path correction formula is:
Δφ
ixiu(1L)＝φ
i-φ
ixiu(1L)＝S
xiu*Δφ
fxiu＝S
biao((θ
i-θ
1jh)/θ
f)*Δφ
fxiu (3)
φ
ixiu(1L)＝φ
i-Δφ
ixiu(1L) (4)
φ
xiu＝φ
0+φ
ixiu (5)
In the formula:
S
Xiu---cutter path correction characteristics of motion non-dimensional displacement
Δ φ
Fxiu---cutter pivot angle maximum modified amount in the cam calibration cycle (°)
S
Biao---be displacement of starting point place and the continuous characteristics of motion non-dimensional displacement of speed, such as improving sinusoidal acceleration, improving constant speed etc.
φ
Xiu---angle, the revised tool position of cutter path (°)
Formula (3), (4), (5) are the cutter path computing formula of improving generation method processing 1L segment trailer.
2) 2R section cutter path correction
When cam mechanism is in accelerating sections, the 2R section does not play the engagement impetus, but considers for high-speed cam mechanism, needs the ability that guarantees the motion of mechanism stationarity, increases mechanism's opposing shock and vibration, thereby the beginning of 2R section part do not practiced Buddhism or Taoism, make the effect of its performance confined planes.Its afterbody is practiced Buddhism or Taoism,, and improve the meshing characteristic of mechanism with the side Process of realization generation method.
2R section cutter path correction analysis as shown in Figure 2, the cutter path modified computing formulae of 2R section is:
Work as θ
i＜=θ
2RxiuThe time, do not carry out the cutter path correction, by formula cutter path is calculated in (1), (2), herein, and for 2R, φ
0=-φ
z/ 2.
Work as θ
i＞θ
2RxiuThe time, carry out the cutter path correction, correspondingly formula (3), (4) are adjusted into down two formulas:
Δφ
ixiu(2R)＝φ
ixiu(2R)-φ
i＝S
xiu*Δφ
fxiu＝S
biao((θ
i-θ
2Rxiu)/θ
f)*Δφ
fxiu?(6)
φ
ixiu(2R)＝φ
i+Δφ
ixiu(2R) (7)
3) 2L section cutter path correction
Above, analyzed the correction problem of 1L and 2R section process tool track, analyze the correction problem of the process tool track of 2L and 3R section below again.Generally speaking, the 1L/2R section works in the accelerating sections of cam mechanism, and the 2L/3R section is in the braking section work of cam mechanism.When braking section, inertia force and load and frictional resistance are reverse, if speed arrives to a certain degree greatly, the situation of inertia force greater than load and frictional resistance then can appear, like this, cam will lose the effect that promotes clutch plate, limit the rotating disk motion but play with its contoured surface, and reach the effect that makes clutch plate carry out retarded motion according to the given characteristics of motion.
2L section cutter path correction analysis as shown in Figure 2, process and the 1L section of finding the solution the cutter path modified computing formulae are similar.The cutter path modified computing formulae of 2L section is:
Work as θ
i＞=θ
2jhThe time, do not carry out the cutter path correction, by formula cutter path is calculated in (1), (2), herein, and for 2L, φ
0=-φ
z/ 2.
Work as θ
i＜θ
2jhThe time, carry out the cutter path correction, formula (3), (4) are adjusted into following formula:
Δφ
ixiu(2L)＝φ
i-φ
ixiu(2L)＝S
xiu*Δφ
fxiu＝(1-S
biao((θ
i+θ
f-θ
2jh)/θ
f))*Δφ
fxiu?(8)
φ
ixiu(2L)＝φ
i-Δφ
ixiu(2L) (9)
4) 3R section cutter path correction
3R section cutter path correction analysis as shown in Figure 2, the cutter path modified computing formulae of 3R section is:
Work as θ
i＞=θ
3RxiuThe time, do not carry out the cutter path correction, by formula cutter path is calculated in (1), (2), herein, and for 3R, φ
0=-3 φ
z/ 2.
Work as θ
i＜θ
3RxiuThe time, carry out the cutter path correction, formula (3), (4) are adjusted into following formula:
Δφ
ixiu(3R)＝φ
ixiu(3R)-φ
i＝S
xiu*Δφ
fxiu＝(1-S
biao((θ
i+θ
f-θ
3Rxiu)/θ
f))*Δφ
fxiu?(10)
φ
ixiu(3R)＝φ
i+Δφ
ixiu(3R) (11)
2. cutter path correction interval determines
The method for fine finishing of this cover single head convex ridge formula arc surfaced indexing cam working profile, under the engaging stress face and the guaranteed all the time prerequisite of confined planes of cam calibration section, by common generation method process tool track is revised, can improve the engaged transmission characteristic of cam mechanism, and on the wide face of whole cam work, realize the side Process of generation method.There is following requirement in the interval of practicing Buddhism or Taoism to each contoured surface:
Guarantee that the condition that engaged transmission and spacing vibrationproof are connected mutually is formula (12), (13):
θ
1jh＞＝θ
2jh (12)
θ
2Rxiu＞＝θ
3Rxiu (13)
The condition that realizes side Process is formula (14):
θ
2Rxiu＜θ
2jh (14)
Characteristics of this cover cutter path amendment scheme are, in the side Process that realizes generation method simultaneously, have both made cam mechanism roller engaged transmission be connected mutually, make spacing being effectively guaranteed all the time in cam calibration section again.The meshing characteristic of correction of the flank shape processing back cam has improved, and dynamic characteristic has been improved, and controls the ability of crossing impact and has also strengthened.Be suitable for the correction of the flank shape processing of high-speed motion arc surfaced indexing cam.
When carrying out the cutter path correction, should the main engaged transmission stress surface of strict guarantee, process in strict accordance with the cam mechanism characteristics of motion, guarantee the characteristics of motion motion of cam mechanism by design; Guarantee auxiliary confined planes again, it is also processed according to the designed characteristics of motion of cam mechanism, thereby make cam mechanism have the ability of certain robust motion and control shock and vibration.Certainly, the purpose that the cutter path of common generation method processing is revised is, by improving the engaged transmission characteristic of cam mechanism, and realizes the side Process of generation method improving the accurately machined crudy of arc surfaced indexing cam working profile.Need actual motion situation for this reason, cutter path is revised according to cam mechanism.The cutter path correcting mode that can adopt is usually revised the latter end process tool track of 1L/2R section, and the beginning part process tool track of 2L/3R section is revised as shown in Figure 2.When carrying out the cutter path correction, should note the smooth transition of correction of the flank shape Duan Yuwei correction of the flank shape section.
The present invention is easy to realize on Digit Control Machine Tool, compares with common generation method processing method, unique different be part cutter path difference.According to the cutter path computing formula of this processing method, coding calculates corresponding cutter path, regeneration NC code, and the input Digit Control Machine Tool just can have been realized the processing of arc surfaced indexing cam working profile.
If four contoured surfaces (1L, 2R, 2L, 3R) of single head convex ridge formula arc surfaced indexing cam calibration section all design and process by the characteristics of motion of standard, then because the existing of various errors (alignment error on clutch plate of the mismachining tolerance of roller, roller, the mismachining tolerance of cam contour surface, the mismachining tolerance of camshaft etc.), in cam mechanism engaged transmission process, meshing interference probably takes place, and influences the operate as normal of cam mechanism.In addition,, find in the engaged transmission process of calibration section that four contoured surfaces only need really to play the engaged transmission effect at its part section by the motion analysis of cam mechanism.And the part that needn't play the engaged transmission effect only plays auxiliary geometry sealing process or auxiliary position-limiting action in cam mechanism.Therefore, the present invention improves common generation method processing method, and then the working profile face that reaches arc surfaced indexing cam carries out necessary correction of the flank shape, helps preventing the meshing interference between roller and the cam contour; Help allowing the engaged transmission characteristic preferably section (pressure angle is less) play main engaged transmission effect; Also help the crudy that improves cam processing mode of equal value, cutter path is revised, when using cutter of equal value to carry out fine finishining, help improving its both sides at cutter of equal value, a side is that climb cutting, a side are the unfavorable processing phenomenon of upmilling.
Description of drawings
Fig. 1 is the ferguson cam mechanism structural representation.
Fig. 2 is 1L, 2R, 2L and 3R section cutter path correction schematic diagram.
The specific embodiment
Embodiment 1.With reference to Fig. 1, Fig. 2.A kind of single head convex ridge formula arc surfaced indexing cam working profile method for fine finishing, by the cutter path correction of common generation method processing being processed the wide face of arc surfaced indexing cam, the working profile of arc surfaced indexing cam calibration section is divided into 1L, 2R, 2L and 3R processes for four sections, method is as follows:
When (1) processing the 1L section, work as θ
i＜=θ
1jhThe time, not carrying out the cutter path correction, the process tool track is identical with common generation method process tool track; Work as θ
i＞θ
1jhThe time, carry out the cutter path correction, cutter path is on the basis of common generation method process tool track, to the moving angle delta φ of cam contour surface entity side plurality of pendulums
Ixiu(1L), Δ φ
Ixiu(1L) adopt following formula to calculate:
Δφ
ixiu(1L)＝φ
i-φ
ixiu(1L)＝S
xiu*Δφ
fxiu＝S
biao((θ
i-θ
1jh)/θ
f)*Δφ
fxiu
When (2) processing the 2R section, work as θ
i＜=θ
2RxiuThe time, do not carry out the cutter path correction; Work as θ
i＞θ
2RxiuThe time, carrying out the cutter path correction, modification method is to make cutter path on the basis of common generation method process tool track, to the moving angle delta φ of cam contour surface entity side plurality of pendulums
Ixiu(2R), Δ φ
Ixiu(2R) adopt following formula to calculate:
Δφ
ixiu(2R)＝φ
ixiu(2R)-φ
i＝S
xiu*Δφ
fxiu＝S
biao((θ
i-θ
2Rxiu)/θ
f)*Δφ
fxiu
When (3) processing the 2L section, work as θ
i＞=θ
2jhThe time, do not carry out the cutter path correction; Work as θ
i＜θ
2jhThe time, carry out the cutter path correction, cutter path is on the basis of common generation method process tool track, to the moving angle delta φ of cam contour surface entity side plurality of pendulums
Ixiu(2L), Δ φ
Ixiu(2L) adopt following formula to calculate:
Δφ
ixiu(2L)＝φ
i-φ
ixiu(2L)＝S
xiu*Δφ
fxiu＝(1-S
biao((θ
i+θ
f-θ
2jh)/θ
f))*Δφ
fxiu
When (4) processing the 3R section, work as θ
i＞=θ
3RxiuThe time, do not carry out the cutter path correction; Work as θ
i＜θ
3RxiuThe time, carrying out the cutter path correction, modification method is to make cutter path on the basis of common generation method process tool track, to the moving angle delta φ of cam contour surface entity side plurality of pendulums
Ixiu(3R), Δ φ
Ixiu(3R) adopt following formula to calculate:
Δ φ
Ixiu(3R)=φ
Ixiu(3R)-φ
i=S
Xiu* Δ φ
Fxiu=(1-S
Biao((θ
i+ θ
f-θ
3Rxiu)/θ
f)) * Δ φ
FxiuIn the aforementioned calculation formula,
θ
3Rxiu≤θ
2Rxiu＜θ
2jh≤θ
1jh
φ
iBe the roller angular displacement;
φ
Ixiu(1L) be tool angle displacement after the correction of 1L section cutter path;
S
XiuBe cutter path correction characteristics of motion non-dimensional displacement;
Δ φ
FxiuIt is cutter pivot angle maximum modified amount in the cam calibration cycle;
S
BiaoBe displacement of starting point place and the continuous characteristics of motion non-dimensional displacement of speed;
θ
iBe angular displacement of the cam;
θ
1jhAfter the correction of the flank shape of 1L face, roller withdraws from engagement terminating point cam angle;
θ
fBe cam calibration phase corner;
φ
Ixiu(2R) be tool angle displacement after the correction of 2R section cutter path;
θ
2RxiuAfter the correction of the flank shape of 2R face, roller withdraws from engagement terminating point cam angle;
φ
Ixiu(2L) be tool angle displacement after the correction of 2L section cutter path;
θ
2jhAfter the correction of the flank shape of 2L face, roller enters engagement starting point cam angle;
φ
Ixiu(3R) be tool angle displacement after the correction of 3R section cutter path;
θ
3RxiuAfter the correction of the flank shape of 3R face, roller enters engagement starting point cam angle;
Herein, the unit degree of being of relevant angle.
Embodiment 2.According to the processing method shown in the embodiment 1, the cutter path computing formula by processing method calculates corresponding cutter path with computer program, and regeneration NC code, input Digit Control Machine Tool are realized the fine finishining of single head convex ridge formula arc surfaced indexing cam working profile.Selection to Digit Control Machine Tool requires the same with common generation method processing method; The adjustment of Digit Control Machine Tool, installation way are identical with common generation method processing method; The feed of cutter is the same with common generation method processing method; Carry out the roughing of arc surfaced indexing cam working profile earlier, tool dimension used during roughing is less than the roller size, and cutter imitation roller is pressed the characteristics of motion of cam mechanism and moved.When semifinishing, fine finishining arc surfaced indexing cam working profile, cutter moves by the cutter path of embodiment 1 described processing method, add man-hour, main a certain sides auxiliary spacing, how much sealing process, the another side that back processing mainly plays the engaged transmission effect of rising of processing earlier.Can select for use and improve sinusoidal acceleration, improve constant speed, sinusoidal acceleration etc. in the continuous characteristics of motion of the displacement of starting point place and speed as S
BiaoCutter pivot angle maximum modified amount Δ φ in the cam calibration cycle
FxiuCan choose according to the ferguson cam mechanism of reality, principle is: guaranteeing to get big value to improve the processing technology of arc surfaced indexing cam working profile under the cam mechanism normal operation as far as possible.
Embodiment 3.A kind of single-head boss ridge type globoidal indexing cam profile surface method for fine finishing, the ferguson cam mechanism basic parameter: cam calibration phase corner is that 120 degree, rotating disk roller number are 8, centre-to-centre spacing be 180mm, radius of roller be 22mm, roller width be 24mm, rotating disk pitch radius be 84mm, cam width be 96mm, left-handed, the rotating disk calibration phase characteristics of motion for improve sinusoidal acceleration, the cam rotating speed is 1000r/min, cutter path correction characteristics of motion S
BiaoFor sinusoidal acceleration, calibration in the cycle cutter pivot angle maximum modified amount be 20 degree.Processing method cutter path of the present invention is calculated as follows table:
θ
3Rxiu(56)≤θ
2Rxiu(58)＜θ
2jh(62)≤θ
1jh (64)
Claims (2)
1. single-head boss ridge type globoidal indexing cam profile surface method for fine finishing, it is characterized in that, by the cutter path correction of common generation method processing being processed the wide face of arc surfaced indexing cam, the working profile of arc surfaced indexing cam calibration section is divided into 1L, 2R, 2L and 3R processes for four sections, method is as follows:
When (1) processing the 1L section, work as θ
i＜=θ
1jhThe time, not carrying out the cutter path correction, the process tool track is identical with common generation method process tool track; Work as θ
i＞θ
1jhThe time, carry out the cutter path correction, cutter path is on the basis of common generation method process tool track, to the moving angle delta φ of cam contour surface entity side plurality of pendulums
Ixiu(1L), Δ φ
Ixiu(1L) adopt following formula to calculate:
Δφ
ixiu(1L)＝φ
i-φ
ixiu(1L)＝S
xiu*Δφ
fxiu＝S
biao((θ
i-θ
1jh)/θ
f)*Δφ
fxiu
When (2) processing the 2R section, work as θ
i＜=θ
2RxiuThe time, do not carry out the cutter path correction; Work as θ
i＞θ
2RxiuThe time, carrying out the cutter path correction, modification method is to make cutter path on the basis of common generation method process tool track, to the moving angle delta φ of cam contour surface entity side plurality of pendulums
Ixiu(2R), Δ φ
Ixiu(2R) adopt following formula to calculate:
Δφ
ixiu(2R)＝φ
ixiu(2R)-φ
i＝S
xiu*Δφ
fxiu＝S
biao((θ
i-θ
2Rxiu)/θ
f)*Δφ
fxiu
When (3) processing the 2L section, work as θ
i＞=θ
2jhThe time, do not carry out the cutter path correction; Work as θ
i＜θ
2jhThe time, carry out the cutter path correction, cutter path is on the basis of common generation method process tool track, to the moving angle delta φ of cam contour surface entity side plurality of pendulums
Ixiu(2L), Δ φ
Ixiu(2L) adopt following formula to calculate:
Δφ
ixiu(2L)＝φ
i-φ
ixiu(2L)＝S
xiu*Δφ
fxiu＝(1-S
biao((θ
i+θ
f-θ
2jh)/θ
f))*Δφ
fxiu
When (4) processing the 3R section, work as θ
i＞=θ
3RxiuThe time, do not carry out the cutter path correction; Work as θ
i＜θ
3RxiuThe time, carrying out the cutter path correction, modification method is to make cutter path on the basis of common generation method process tool track, to the moving angle delta φ of cam contour surface entity side plurality of pendulums
Ixiu(3R), Δ φ
Ixiu(3R) adopt following formula to calculate:
Δφ
ixiu(3R)＝φ
ixiu(3R)-φ
i＝S
xiu*Δφ
fxiu＝(1-S
biao(θ
i+θ
f-θ
3Rxiu)/θ
f))*Δφ
fxiu
In the aforementioned calculation formula,
θ
3Rxiu≤θ
2Rxiu＜θ
2jh≤θ
1jh
φ
iBe the roller angular displacement;
φ
Ixiu(1L) be tool angle displacement after the correction of 1L section cutter path;
S
XiuBe cutter path correction characteristics of motion non-dimensional displacement;
Δ φ
FxiuIt is cutter pivot angle maximum modified amount in the cam calibration cycle;
S
BiaoBe displacement of starting point place and the continuous characteristics of motion non-dimensional displacement of speed;
θ
iBe angular displacement of the cam;
θ
1jhAfter the correction of the flank shape of 1L face, roller withdraws from engagement terminating point cam angle;
θ
fBe cam calibration phase corner;
φ
Ixiu(2R) be tool angle displacement after the correction of 2R section cutter path;
θ
2RxiuAfter the correction of the flank shape of 2R face, roller withdraws from engagement terminating point cam angle;
φ
Ixiu(2L) be tool angle displacement after the correction of 2L section cutter path;
θ
2jhAfter the correction of the flank shape of 2L face, roller enters engagement starting point cam angle;
φ
Ixiu(3R) be tool angle displacement after the correction of 3R section cutter path;
θ
3RxiuAfter the correction of the flank shape of 3R face, roller enters engagement starting point cam angle;
Herein, the unit degree of being of relevant angle;
Described 1L, 2R, 2L and 3R section are defined as follows: see that from the right side of camshaft camshaft is by being rotated counterclockwise, in this state, front from cam, the right side of convex ridge is the 1L section after cam begins to enter the calibration state, the left side is the 2R section, the right side of convex ridge is the 2L section before cam finishes the calibration state, and the left side is the 3R section.
2. a kind of single-head boss ridge type globoidal indexing cam profile surface method for fine finishing according to claim 1, it is characterized in that, cutter path computing formula according to processing method, calculate corresponding cutter path with computer program, regeneration NC code, the input Digit Control Machine Tool is realized the fine finishining of arc surfaced indexing cam working profile.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CNB200610088125XA CN100391691C (en) | 2006-06-26 | 2006-06-26 | A precision machining method for single-head boss ridge type globoidal indexing cam profile surface |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CNB200610088125XA CN100391691C (en) | 2006-06-26 | 2006-06-26 | A precision machining method for single-head boss ridge type globoidal indexing cam profile surface |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| CN1864920A CN1864920A (en) | 2006-11-22 |
| CN100391691C true CN100391691C (en) | 2008-06-04 |
Family
ID=37424143
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CNB200610088125XA Expired - Fee Related CN100391691C (en) | 2006-06-26 | 2006-06-26 | A precision machining method for single-head boss ridge type globoidal indexing cam profile surface |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN100391691C (en) |
Families Citing this family (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN105269052A (en) * | 2015-11-19 | 2016-01-27 | 中国南方航空工业(集团)有限公司 | Method for machining precision camshaft |
Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN1299721A (en) * | 2001-01-17 | 2001-06-20 | 上海交通大学 | Double envelope process of finish machining space cam profile of cylindrical roller |
| CN1374169A (en) * | 2001-08-31 | 2002-10-16 | 西门子工厂自动化工程有限公司 | Cam machining process |
-
2006
- 2006-06-26 CN CNB200610088125XA patent/CN100391691C/en not_active Expired - Fee Related
Patent Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN1299721A (en) * | 2001-01-17 | 2001-06-20 | 上海交通大学 | Double envelope process of finish machining space cam profile of cylindrical roller |
| CN1374169A (en) * | 2001-08-31 | 2002-10-16 | 西门子工厂自动化工程有限公司 | Cam machining process |
Non-Patent Citations (6)
| Title |
|---|
| 分度凸轮轮槽数控加工的刀具补偿方法. 李志刚，罗佑新.机床与液压，第2期. 2003 |
| 分度凸轮轮槽数控加工的刀具补偿方法. 李志刚，罗佑新.机床与液压，第2期. 2003 * |
| 弧面分度凸轮的设计及加工方法的改进. 李义德，倪雁冰，曲鲁滨.烟台教育学院学报，第10卷第2期. 2004 |
| 弧面分度凸轮的设计及加工方法的改进. 李义德，倪雁冰，曲鲁滨.烟台教育学院学报，第10卷第2期. 2004 * |
| 弧面分度凸轮的非等径数控加工自动编程. 郭培全，黄传真.制造技术与机床，第6期. 2004 |
| 弧面分度凸轮的非等径数控加工自动编程. 郭培全，黄传真.制造技术与机床，第6期. 2004 * |
Also Published As
| Publication number | Publication date |
|---|---|
| CN1864920A (en) | 2006-11-22 |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| WO2020151683A1 (en) | Involute cylindrical gear envelope milling method taking precise characteristics of tooth surface into consideration | |
| KR101900100B1 (en) | Method for milling a bevel gear tooth system in the continuous milling process | |
| CN100431761C (en) | Double herringbone gear in-phase processing method | |
| CN108591421B (en) | Tool basic tooth profile of generated involute pin gear tooth profile | |
| CN103692025A (en) | Machining method of cycloidal-tooth bevel gear | |
| CN104526070B (en) | Calibration method for multi-shaft linkage machining positions of toroidal worm | |
| CN107323520B (en) | A kind of circulating ball type steering gear with variable ratio rocker arm shaft tooth fan rack gear pair | |
| CN109604738B (en) | Efficient side edge finish milling method based on Niemann worm gear mathematical model | |
| CN102198632A (en) | Speed control method of cam tangential point tracking grinding | |
| CN100391691C (en) | A precision machining method for single-head boss ridge type globoidal indexing cam profile surface | |
| Zhang et al. | Method of processing and an analysis of meshing and contact of circular arc tooth trace cylindrical gears | |
| CN111687493A (en) | Variable tool path machining method for cycloidal-tooth bevel gear based on integral cutter head | |
| CN109317764B (en) | Multi-tooth part machining method and multi-tooth part cutting tool | |
| CN201432114Y (en) | Multifunctional CNC turning tool | |
| CN116727780A (en) | Milling cutter blade profile correction method, system and device based on interference error compensation | |
| CN103433570A (en) | Forming milling cutter for single-screw-rod compressor star wheel and processing method | |
| CN110990974A (en) | Conjugate double-cam profile design method of crowned tooth slotting cutter relieving mechanism | |
| CN106271463A (en) | A kind of processing method of index cam | |
| CN106528974B (en) | Star-wheel tooth angle and screw slot base angle type face coupling design method | |
| CN100335818C (en) | Arc surface calibratkon cam mechanism and its processing method | |
| CN103447628A (en) | Numerical control hobbing method for five-axis linkage oblique tooth non-circular gear | |
| CN114309820B (en) | Gear single-side forming machining method combining customized cutter and specific path | |
| CN109101754B (en) | Full-process machining method for spiral bevel gear | |
| CN100537099C (en) | Two tooth-difference cycloid bobbing cutter | |
| Terai et al. | Geometric analysis of undeformed chip thickness in ball-nosed end milling |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| C06 | Publication | ||
| PB01 | Publication | ||
| C10 | Entry into substantive examination | ||
| SE01 | Entry into force of request for substantive examination | ||
| C14 | Grant of patent or utility model | ||
| GR01 | Patent grant | ||
| C17 | Cessation of patent right | ||
| CF01 | Termination of patent right due to non-payment of annual fee |
Granted publication date: 20080604 Termination date: 20110626 |