CN106312817A - Feed control method for grinding wheel for cutting teeth of helical inner gear ring broach - Google Patents

Abstract

The invention provides a feed control method for a grinding wheel for cutting teeth of a helical inner gear ring broach. By the adoption of the feed control method for the grinding wheel for the cutting teeth of the helical inner gear ring broach, automatic setting for broach adjustment can be achieved, locations of the cutting teeth are accurately positioned. The feed control method comprises the steps that firstly, a positioning mode of the cutting teeth of the helical inner gear ring broach is established; secondly, based on the established positioning mode, coordinate positions, relative to the first tooth at the first end, of the other cutting teeth are determined; and thirdly, feed control of the grinding wheel is conducted; from a broach adjustment position, machining of the current cutting tooth is completed according to the coordinate position, determined in the second step, of the current cutting tooth; then backward movement by the distance of one tooth is conducted along a tooth socket spiral track till machining of all the cutting teeth in the current tooth socket is completed; the grinding wheel is switched into the adjacent tooth socket in the rotating direction of helical chip containing grooves, and machining of the current chip containing groove is completed; and then the grinding wheel is switched to the broach adjustment position corresponding to the next chip containing groove in the rotating direction of the helical chip containing grooves, and the steps are repeated for sequentially machining all the chip containing grooves.

Description

A kind of abrasive grinding wheel feed control method of spiral ring gear broaching tooth

Technical field

The invention belongs to spiral ring gear broaching tool and manufacture field, relate to the position distribution mould of spiral ring gear broaching tooth The determination of the accurate access site of emery wheel of formula and profile grinding of gear and Automated condtrol, be specially a kind of spiral ring gear broaching tool The abrasive grinding wheel feed control method of cutting tooth.

Background technology

Spiral ring gear broaching tool is the important tool realizing spiral ring gear wire pulling method.The precision of broaching tool is to a great extent On directly determine the crudy of ring gear.Spiral ring gear broaching tool is through the pre-manufactured hole in gear ring blank, relative to gear ring Spin motion until cutting out gear ring completely.During this screw, in the cutting tooth of spiral broach little by little cuts The tooth top chamfering structure of gear ring involute profile and gear ring.The thick cutting cutter tooth of the spiral ring gear broaching tool tooth to spiral ring gear Shape carries out rough cut, retains the forming and cutting for subsequent fine cutting of certain allowance in the involute profile direction of per tooth. During essence cutting broaching, the involute profile of spiral ring gear left and right sides obtains independent processing and forming successively.Meanwhile, such as figure Shown in 1, spiral ring gear broaching tool uses helical structure chip pocket, and contrary with the direction of rotation of spiral ring gear teeth groove.So Can bring a series of advantage: first, the chip pocket of helical structure can be conducive to cutting relative to traditional ring-like chip pocket The discharge of bits；Meanwhile, the chip pocket of helical structure ensure that cutting tooth more can enter and exit the broaching of gear ring by continuous print, It is greatly reduced in ring-like chip pocket structure the entrance in units of circle of the cutting tooth and exits the significantly broaching that gear ring causes Fluctuation；It is changed into gradually to enter additionally, the cutting edge of ring-like cutting tooth can the most directly be participated in cutting by spiral chip flute Enter and exit cutting, it is possible to further smoothing cutting force；Finally, the spiral chip flute oppositely oriented with gear ring profile of tooth, by exterior feature The left and right sides cutting state of type finishing tooth has carried out the good anterior angle improving side, obtuse angle and acute side and has all adjusted more adjunction Being bordering on orthogonal cutting is conducive to more preferable profile cutting quality to obtain.

And the introducing of spiral chip flute structure, result in all cutting teeth at axial distributing position not unanimously, but On the basis of following spiral chip flute rake face, it is distributed with bull pattern.And the grinding cutting tooth profile of tooth needs accurate control Make grinding scope of each cutting tooth, to ensure that flank obtains complete grinding, and not with the tooth front and back having rise per tooth to require Interfere.Meanwhile, the cutting tooth of spiral ring gear broaching tool is on each head and not all equal, and the tooth of the most each all needs Obtain coordinate accurately and carry out grinding control.Then, the cutting number of teeth amount of spiral ring gear broaching tool is about about 10,000, it is necessary to It is processed by effective automatization, parameter is manually set and cannot accept completely.Therefore, for spiral ring gear broaching Accurately calculating of tooth abrasive grinding wheel access site is the most necessary with Automated condtrol.

Summary of the invention

For problems of the prior art, the present invention provides the abrasive grinding wheel of a kind of spiral ring gear broaching tooth Feed control method, it is possible to realize the automatic setting to cutter, being accurately positioned of cutting tooth position.

The present invention is to be achieved through the following technical solutions:

The abrasive grinding wheel feed control method of a kind of spiral ring gear broaching tooth, comprises the steps,

Step 1, sets up the station-keeping mode of spiral ring gear broaching tooth；

Spiral ring gear broaching tool is expanded into a plane, the position of all cutting teeth according to the pitch cylinder of cutter hub around axis Put and be all distributed on this plane；Each cutting tooth is by one group of sequence number (N_g, N_s, N_p) uniquely determine；Wherein, N_gFor end The chip pocket sequence number at original position place, face, N_sFor end face original position sequence number in current chip groove area, N_pFor cutting tooth Sequence number along current teeth groove；

Step 2, determines cutting tooth (N on the basis of the station-keeping mode set up_g, N_s, N_p) position relative to first first The coordinate position of tooth O (x, a) as follows,

$\left\{\begin{array}{c}x={\mathrm{ug}}_x\·\left(\underset{t=1}{\overset{N_g-1}{\mathrm{\Σ}}}NS\right(t)+N_s-1)+(N_p-N_g-2)\·{\mathrm{up}}_x\\ a=Grot\left(\right)\·{\mathrm{ug}}_a\·\left(\underset{t=1}{\overset{N_g-1}{\mathrm{\Σ}}}NS\right(t)+N_s-1)-\mathrm{Pr}ot\left(\right)\·(N_p-N_g-2)\·{\mathrm{up}}_a\end{array}\right.;$

Wherein, x is axial location component, and a is for rotating about the axis component；NS () is the end that each spiral chip flute comprises Face teeth groove number；Grot () is the rotation direction function of spiral chip flute, and dextrorotation is+1, and left-handed is 1；Prot () is cutting tooth Rotation direction function, dextrorotation is+1, and left-handed is 1；[ug_x,ug_a] be express along the OB in spiral rake face direction in axial translation and Rotation around axis is expressed；[up_x,up_a] it is along cutting the OA in flank profil type direction in axial translation expression and the rotation around axis Turn and express；

Step 3, the feed to abrasive grinding wheel is controlled；

Step 3.1, emery wheel is arranged on current chip pocket to cutter point (x₀, a₀) position, to N in cutter point_g=0, N_s=0, N_p=0；

Step 3.2, from the beginning of to cutter point, processes current chip pocket；Teeth groove in current chip pocket is added man-hour, according to by Step 2 determines the current coordinate position cutting tooth, and according to the current processing tasks requirement cutting tooth, the grinding performing to need is moved Make, complete currently to cut the processing of tooth；The position of a tooth it is moved rearwards by then along teeth groove helical trajectory；Repeat above teeth groove Procedure of processing, completes processing to all cutting teeth in current teeth groove, thus completes the processing of current teeth groove；

Step 3.3, emery wheel according to the direction of rotation of spiral chip flute, is switched to adjacent teeth groove, repeats step 3.2, from And each teeth groove of end face in current chip pocket is processed successively, complete the processing of current chip pocket；

Step 3.4, emery wheel according to the direction of rotation of spiral chip flute, be switched to next chip pocket corresponding to cutter point position Put, repeat step 3.1 to 3.3, successively each chip pocket is processed.

Preferably, in step 2, [ug_x,ug_a] and [up_x,up_a] by spiral ring gear or the elementary structure parameter of broaching tool, logical Cross sine to be calculated as follows,

$\left\{\begin{array}{c}{\mathrm{ug}}_x=\frac{m_n\·\mathrm{\π}\·\sin (\mathrm{\π}/2-{\mathrm{\β}}_p)\·\sin \left({\mathrm{\β}}_g\right)}{\cos \left({\mathrm{\β}}_p\right)\·\sin (\mathrm{\π}/2+{\mathrm{\β}}_p-{\mathrm{\β}}_g)}\\ {\mathrm{ug}}_a=\frac{m_n\·\mathrm{\π}\·\sin (\mathrm{\π}/2-{\mathrm{\β}}_p)\·\cos \left({\mathrm{\β}}_g\right)}{\cos \left({\mathrm{\β}}_p\right)\·\sin (\mathrm{\π}/2+{\mathrm{\β}}_p-{\mathrm{\β}}_g)\·R_p}\end{array}\right.;$

$\left\{\begin{array}{c}{\mathrm{up}}_x=\frac{L_g\·\sin (\mathrm{\π}/2-{\mathrm{\β}}_g)\·\cos \left({\mathrm{\β}}_p\right)}{N_{start}\·\sin (\mathrm{\π}/2+{\mathrm{\β}}_g-{\mathrm{\β}}_p)}\\ {\mathrm{up}}_a=\frac{L_g\·\sin (\mathrm{\π}/2-{\mathrm{\β}}_g)\·\sin \left({\mathrm{\β}}_p\right)}{N_{start}\·\sin (\mathrm{\π}/2+{\mathrm{\β}}_g-{\mathrm{\β}}_p)\·R_p}\end{array}\right.;$

Wherein: m_nFor spiral ring gear normal module, β_pFor spiral ring gear helical angle, β_gFor spiral chip flute helical angle, L_gFor spiral chip flute helical pitch, N_startFor spiral chip flute head number, R_pFor spiral ring gear pitch radius.

Preferably, when cutter is arranged, setting to cutter point (x₀, a₀) position adds equal to the position O of first chip pocket the first tooth On, emery wheel is to the position deviation between the position O of cutter point and first chip pocket the first tooth.

Preferably, step 3, the feed to abrasive grinding wheel carries out programme-control, and it comprises the following steps that,

Step a, is arranged on N by emery wheel_g=0, N_s=0, N_pThe tooth slot position of=0, subsequently into step b；

Step b: if all chip pockets all complete processing, i.e. N_gMore than or equal to N_start, then complete processing, exit；Otherwise, Enter step c；

Step c: if all teeth groove all complete processing, i.e. N in current chip pocket_sMore than or equal to (NST (N_g+1)-NST (N_g)), then enter step d；Otherwise, step e is entered；

Step d: emery wheel, according to the direction of rotation of spiral chip flute, is switched to the N that next chip pocket is corresponding_s=0 position, so Rear entrance step f；

Step e: emery wheel, according to the direction of rotation of spiral chip flute, is switched to adjacent teeth groove, subsequently into step f；

Step f: if the cutting tooth that currently teeth groove is corresponding all completes processing, i.e. N_pMore than or equal to numteeth, then enter Step e；Otherwise, cutting tooth is moved rearwards by the position of a tooth along teeth groove helical trajectory, and enters step g；

Step g: calculated the current accurate coordinate position cutting tooth by formula step 2, subsequently into step h；

Step h: according to the current processing tasks requirement cutting tooth, the grinding performing to need according to accurate coordinate position is moved Make, subsequently into step b；

Wherein, NST () is for for carrying out program to each chip pocket building up by welding number of teeth amount NS () of spiral ring gear broaching tool The array safeguarded；Numteeth is the sum along teeth groove cutting tooth.

Further, NST () is defined as follows: a length of spiral chip flute quantity+1；NST (0)=0；NST (i) is i-th The end face that chip pocket comprises initiates all numerical value less than i in number of teeth amount+NST ()；The counting of NST () is along spiral chip flute Direction of rotation is carried out.

Compared with prior art, the present invention has a following useful technique effect:

The present invention is by the station-keeping mode set up, it is not necessary to manually the wheel grinding coordinate of each cutting tooth is carried out craft Calculate and arrange, it is possible to realize the most accurately calculating by parameterized mode.Significantly reduce the complexity of operation, improve Computational efficiency and correctness；In new station-keeping mode, the grinding program of spiral ring gear broaching tooth is without multiple Miscellaneous hand weaving, it is possible to automatically generate based on current parametrization enterprise schema, is greatly improved the establishment efficiency of program And correctness；It is thus possible to provide accurate Fundamentals of Mathematics to the Precise Grinding of each cutting tooth and the trickle correction of necessity, Greatly improve automatization and the accuracy of processing.

Accompanying drawing explanation

Fig. 1 is spiral ring gear broaching tool structure diagram in prior art.

Fig. 2 a is the expansion distribution schematic diagram of spiral ring gear broaching tooth.

Fig. 2 b is that the adjacent locations relation of spiral ring gear broaching tooth calculates schematic diagram.

Detailed description of the invention

Below in conjunction with specific embodiment, the present invention is described in further detail, described in be explanation of the invention and It not to limit.

Being directed to spiral chip flute structure and the spiral cutting mode of cutting tooth of spiral ring gear broaching tool, the present invention proposes The abrasive grinding wheel feed control method of a kind of spiral ring gear broaching tooth, it is possible to obtain grinding emery wheel accurately Position, carries out the Automated condtrol of entirety.

Step 1, spiral ring gear broaching tooth station-keeping mode tissue:

As shown in Figure 2 a, spiral ring gear broaching tool is expanded into a plane according to the pitch cylinder of cutter hub around axis, this Time, the position of all cutting teeth is all distributed on this plane, it is clear that cut what tooth initiateed according to end face from figure Position is divided into regional with chip pocket.Therefore, each cutting tooth can be by end face original position place Chip pocket sequence number N_g, the end face position in fact sequence number N in current chip groove area_s, and cutting tooth is along the sequence number of current teeth groove N_pUniquely determined.The station-keeping mode of this cutting tooth be very beneficial for follow-up cutting tooth position accurately calculate and Automatization's tissue of program realizes.

Step 2, spiral ring gear broaching tooth exact position calculates:

By the spiral chip flute of spiral ring gear broaching tool and the spiral cutting mode of cutting tooth, it may be determined that between cutting tooth There is the relative position relation that two classes are fixing, as shown in Figure 2 b: along the OB of spiral rake face with along cutting flank profil type direction OA.Realize for the ease of processor, by they distributions by expressing in axial translation with around the rotation of axis, point Wei [ug_x,ug_a] and [up_x,up_a].By the elementary structure parameter of spiral ring gear (broaching tool), can calculate by sine It is as follows,

$\left\{\begin{array}{c}{\mathrm{ug}}_x=\frac{m_n\·\mathrm{\π}\·\sin (\mathrm{\π}/2-{\mathrm{\β}}_p)\·\sin \left({\mathrm{\β}}_g\right)}{\cos \left({\mathrm{\β}}_p\right)\·\sin (\mathrm{\π}/2+{\mathrm{\β}}_p-{\mathrm{\β}}_g)}\\ {\mathrm{ug}}_a=\frac{m_n\·\mathrm{\π}\·\sin (\mathrm{\π}/2-{\mathrm{\β}}_p)\·\cos \left({\mathrm{\β}}_g\right)}{\cos \left({\mathrm{\β}}_p\right)\·\sin (\mathrm{\π}/2+{\mathrm{\β}}_p-{\mathrm{\β}}_g)\·R_p}\end{array}\right.---\left(1\right)$

$\left\{\begin{array}{c}{\mathrm{up}}_x=\frac{L_g\·\sin (\mathrm{\π}/2-{\mathrm{\β}}_g)\·\cos \left({\mathrm{\β}}_p\right)}{N_{start}\·\sin (\mathrm{\π}/2+{\mathrm{\β}}_g-{\mathrm{\β}}_p)}\\ {\mathrm{up}}_a=\frac{L_g\·\sin (\mathrm{\π}/2-{\mathrm{\β}}_g)\·\sin \left({\mathrm{\β}}_p\right)}{N_{start}\·\sin (\mathrm{\π}/2+{\mathrm{\β}}_g-{\mathrm{\β}}_p)\·R_p}\end{array}\right.---\left(2\right)$

Wherein:

m_nSpiral ring gear normal module,

β_pSpiral ring gear helical angle,

β_gSpiral chip flute helical angle,

L_gSpiral chip flute helical pitch,

N_startSpiral chip flute head number,

R_pSpiral ring gear pitch radius.

Integrating step 1 is cut the station-keeping mode of tooth, for cutting tooth (N_g, N_s, N_p), can be calculated it according to formula (3) Coordinate position relative to first the first tooth O (x, a), i.e. axial location component x and rotate about the axis component a:

$\left\{\begin{array}{c}x={\mathrm{ug}}_x\·\left(\underset{t=1}{\overset{N_g-1}{\mathrm{\Σ}}}NS\right(t)+N_s-1)+(N_p-N_g-2)\·{\mathrm{up}}_x\\ a=Grot\left(\right)\·{\mathrm{ug}}_a\·\left(\underset{t=1}{\overset{N_g-1}{\mathrm{\Σ}}}NS\right(t)+N_s-1)-\mathrm{Pr}ot\left(\right)\·(N_p-N_g-2)\·{\mathrm{up}}_a\end{array}\right.---\left(3\right)$

Wherein

NS () is the end face teeth groove number that each spiral chip flute comprises；

Grot () is the rotation direction function of spiral chip flute, and dextrorotation is+1, and left-handed is 1；

Prot () is the rotation direction function of cutting tooth, and dextrorotation is+1, and left-handed is 1.

At this moment, all cutting teeth exact position relative to first chip pocket the first tooth O can be calculated.In reality In using, then have only to the position deviation between the further position O by emery wheel to cutter point and first chip pocket the first tooth Addition formula (3), can determine the accurate access site of emery wheel of cutting tooth completely in lathe.

Step 3: spiral ring gear broaching tooth integral grinding processing feed control method:

Realize in view of the programme-control in processing in reality, need the grinding of all cutting teeth is carried out reasonably group Knit.It is also desirable to ensure being computed correctly of uneven cutting tooth coordinate on each chip pocket.Therefore, design array NST () Each chip pocket building up by welding number N of teeth S () of spiral ring gear broaching tool is carried out program maintenance.NST () is defined as follows: a length of spiral shell Rotation chip pocket quantity+1；NST (0)=0；It is all that NST (i) is that the end face that i-th chip pocket comprises initiates in number of teeth amount+NST () Numerical value less than i；The counting of NST () is carried out along the direction of rotation of spiral chip flute.Example, for end face 98 tooth and edge The broaching tool that spiral chip flute option each spiral chip flute correspondence end face number of teeth is 25,24,25,24, when setting 25 tooth places Head is first, then have a NST={0,25,49,74,98}.

Concrete execution step is as follows:

Step a: emery wheel is arranged on N_g=0, N_s=0, N_pThe tooth slot position of=0, subsequently into step b；

Step b: if all chip pockets all complete processing, i.e. N_gMore than or equal to N_start, then complete processing, exit；Otherwise, Enter step c；

Step c: if all teeth groove all complete processing, i.e. N in current chip pocket_sMore than or equal to (NST (N_g+1)-NST (N_g)), then enter step d；Otherwise, step e is entered；

Step d: emery wheel, according to the direction of rotation of spiral chip flute, is switched to the N that next chip pocket is corresponding_s=0 position, so Rear entrance step f；

Step e: emery wheel, according to the direction of rotation of spiral chip flute, is switched to adjacent teeth groove, subsequently into step f；

Step f: if the cutting tooth that currently teeth groove is corresponding all completes processing, i.e. N_pMore than or equal to numteeth, then enter Step e；Otherwise, cutting tooth is moved rearwards by the position of a tooth along teeth groove helical trajectory, and enters step g；

Step g: calculated the current accurate coordinate position cutting tooth by formula (3), subsequently into step h；

Step h: according to the current processing tasks requirement cutting tooth, the grinding performing to need according to accurate coordinate position is moved Make, subsequently into step b.

Therefore, the grinding program of each cutting tooth controls to be expressed as program realization as shown in table 1.

Table 1

Claims (5)

1. the abrasive grinding wheel feed control method of a spiral ring gear broaching tooth, it is characterised in that comprise the steps,

Step 1, sets up the station-keeping mode of spiral ring gear broaching tooth；

Around axis, spiral ring gear broaching tool is expanded into a plane according to the pitch cylinder of cutter hub, and the position of all cutting teeth is all Distribution is on this plane；Each cutting tooth is by one group of sequence number (N_g, N_s, N_p) uniquely determine；Wherein, N_gRise for end face The chip pocket sequence number at place, beginning position, N_sFor end face original position sequence number in current chip groove area, N_pFor cutting tooth along The sequence number of current teeth groove；

Step 2, determines cutting tooth (N on the basis of the station-keeping mode set up_g, N_s, N_p) position relative to first the first tooth O Coordinate position (x, a) as follows,

$\left\{\begin{array}{c}x={\mathrm{ug}}_x\·\left(\underset{t=1}{\overset{N_g-1}{\mathrm{\Σ}}}NS\right(t)+N_s-1)+(N_p-N_g-2)\·{\mathrm{up}}_x\\ a=Grot\left(\right)\·{\mathrm{ug}}_a\·\left(\underset{t=1}{\overset{N_g-1}{\mathrm{\Σ}}}NS\right(t)+N_s-1)-\mathrm{Pr}ot\left(\right)\·(N_p-N_g-2)\·{\mathrm{up}}_a\end{array}\right.;$

Wherein, x is axial location component, and a is for rotating about the axis component；NS () is the end-tooth that each spiral chip flute comprises Groove number；Grot () is the rotation direction function of spiral chip flute, and dextrorotation is+1, and left-handed is 1；Prot () is the rotation direction of cutting tooth Function, dextrorotation is+1, and left-handed is 1；[ug_x,ug_a] it is to express and around axle along the OB in spiral rake face direction in axial translation The rotation of line is expressed；[up_x,up_a] it is along cutting the OA in flank profil type direction at axial translation expression and the rotation table around axis Reach；

Step 3, the feed to abrasive grinding wheel is controlled；

Step 3.1, emery wheel is arranged on current chip pocket to cutter point (x₀, a₀) position, to N in cutter point_g=0, N_s=0, N_p= 0；

Step 3.2, from the beginning of to cutter point, processes current chip pocket；Teeth groove in current chip pocket is added man-hour, according to by step 2 determine the current coordinate position cutting tooth, according to the current processing tasks requirement cutting tooth, perform the grinding action needed, complete Become the current processing cutting tooth；The position of a tooth it is moved rearwards by then along teeth groove helical trajectory；Repeat the processing of above teeth groove Step, completes processing to all cutting teeth in current teeth groove, thus completes the processing of current teeth groove；

Step 3.3, emery wheel according to the direction of rotation of spiral chip flute, is switched to adjacent teeth groove, repeats step 3.2, thus right In current chip pocket, each teeth groove of end face is processed successively, completes the processing of current chip pocket；

Step 3.4, emery wheel according to the direction of rotation of spiral chip flute, be switched to next chip pocket corresponding to cutter point position, weight Multiple step 3.1 to 3.3, is processed each chip pocket successively.

The abrasive grinding wheel feed control method of a kind of spiral ring gear broaching tooth the most according to claim 1, it is special Levy and be, in step 2, [ug_x,ug_a] and [up_x,up_a] by spiral ring gear or the elementary structure parameter of broaching tool, fixed by sine Reason is calculated as follows,

$\left\{\begin{array}{c}{\mathrm{ug}}_x=\frac{m_n\·\mathrm{\π}\·sin(\mathrm{\π}/2-{\mathrm{\β}}_p)\·sin\left({\mathrm{\β}}_g\right)}{cos\left({\mathrm{\β}}_p\right)\·sin(\mathrm{\π}/2+{\mathrm{\β}}_p-{\mathrm{\β}}_g)}\\ {\mathrm{ug}}_a=\frac{m_n\·\mathrm{\π}\·\sin (\mathrm{\π}/2-{\mathrm{\β}}_p)\·cos\left({\mathrm{\β}}_g\right)}{cos\left({\mathrm{\β}}_p\right)\·\sin (\mathrm{\π}/2+{\mathrm{\β}}_p-{\mathrm{\β}}_g)\·R_p}\end{array}\right.;$

$\left\{\begin{array}{c}{\mathrm{up}}_x=\frac{L_g\·\sin \left(\mathrm{\π}/2-{\mathrm{\β}}_g\right)\·\cos \left({\mathrm{\β}}_p\right)}{N_{start}\·\sin \left(\mathrm{\π}/2+{\mathrm{\β}}_g-{\mathrm{\β}}_p\right)}\\ {\mathrm{up}}_a=\frac{L_g\·\sin \left(\mathrm{\π}/2-{\mathrm{\β}}_g\right)\·\sin \left({\mathrm{\β}}_p\right)}{N_{start}\·\sin \left(\mathrm{\π}/2+{\mathrm{\β}}_g-{\mathrm{\β}}_p\right)\·R_p}\end{array}\right.;$

Wherein: m_nFor spiral ring gear normal module, β_pFor spiral ring gear helical angle, β_gFor spiral chip flute helical angle, L_gFor Spiral chip flute helical pitch, N_startFor spiral chip flute head number, R_pFor spiral ring gear pitch radius.

The abrasive grinding wheel feed control method of a kind of spiral ring gear broaching tooth the most according to claim 1, it is special Levy and be, when cutter is arranged, setting to cutter point (x₀, a₀) position adds equal to the position O of first chip pocket the first tooth, emery wheel To the position deviation between the position O of cutter point and first chip pocket the first tooth.

The abrasive grinding wheel feed control method of a kind of spiral ring gear broaching tooth the most according to claim 1, it is special Levy and be, step 3, the feed to abrasive grinding wheel carries out programme-control, and it comprises the following steps that,

Step a, is arranged on N by emery wheel_g=0, N_s=0, N_pThe tooth slot position of=0, subsequently into step b；

Step b: if all chip pockets all complete processing, i.e. N_gMore than or equal to N_start, then complete processing, exit；Otherwise, enter Step c；

Step c: if all teeth groove all complete processing, i.e. N in current chip pocket_sMore than or equal to (NST (N_g+1)-NST(N_g)), Then enter step d；Otherwise, step e is entered；

Step d: emery wheel, according to the direction of rotation of spiral chip flute, is switched to the N that next chip pocket is corresponding_s=0 position, then enters Enter step f；

Step e: emery wheel, according to the direction of rotation of spiral chip flute, is switched to adjacent teeth groove, subsequently into step f；

Step f: if the cutting tooth that currently teeth groove is corresponding all completes processing, i.e. N_pMore than or equal to numteeth, then enter step e； Otherwise, cutting tooth is moved rearwards by the position of a tooth along teeth groove helical trajectory, and enters step g；

Step g: calculated the current accurate coordinate position cutting tooth by formula step 2, subsequently into step h；

Step h: according to the current processing tasks requirement cutting tooth, performs the grinding action needed, so according to accurate coordinate position Rear entrance step b；

Wherein, NST () is for for carrying out program maintenance to each chip pocket building up by welding number of teeth amount NS () of spiral ring gear broaching tool Array；Numteeth is the sum along teeth groove cutting tooth.

The abrasive grinding wheel feed control method of a kind of spiral ring gear broaching tooth the most according to claim 4, it is special Levying and be, NST () is defined as follows: a length of spiral chip flute quantity+1；NST (0)=0；NST (i) is i-th chip pocket bag The end face contained initiates all numerical value less than i in number of teeth amount+NST ()；The counting of NST () is along the direction of rotation of spiral chip flute Carry out.