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CN106735612B - A method of improving gear honing processing - Google Patents

A method of improving gear honing processing Download PDF

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Publication number
CN106735612B
CN106735612B CN201611149828.9A CN201611149828A CN106735612B CN 106735612 B CN106735612 B CN 106735612B CN 201611149828 A CN201611149828 A CN 201611149828A CN 106735612 B CN106735612 B CN 106735612B
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gear
tooth
honing
honing wheel
wheel
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CN106735612A (en
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林家春
张轩
石照耀
于渤
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Beijing University of Technology
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Beijing University of Technology
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    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B23—MACHINE TOOLS; METAL-WORKING NOT OTHERWISE PROVIDED FOR
    • B23F—MAKING GEARS OR TOOTHED RACKS
    • B23F19/00—Finishing gear teeth by other tools than those used for manufacturing gear teeth
    • B23F19/05—Honing gear teeth

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  • Engineering & Computer Science (AREA)
  • Mechanical Engineering (AREA)
  • Finish Polishing, Edge Sharpening, And Grinding By Specific Grinding Devices (AREA)

Abstract

The invention discloses a kind of methods of improvement gear honing processing, belong to gear mechanism manufacturing field.The present invention will not have the top sword engaged section of application to be applied in raker tooth gear honing processing method, realize the secondary skin processing of the root portions flank of tooth, improve surface quality.Tooth top preprocessing and tooth top tip relief or chamfered edge can also be carried out, the function of gear honing machining tool is increased.The processing quality of gear can be improved in this method, reduces processing cost.

Description

A method of improving gear honing processing
Technical field
The present invention relates to a kind of methods of improvement gear honing processing, belong to gear mechanism manufacturing field.
Background technique
Gear honing processing technology is a kind of Hardened gear face method for fine finishing.Its principle is to be engaged using honing wheel with processed gear The pressure that generates when movement and relative sliding velocity are realized.The entire motion process of gear honing is similar to shaving, difference It is that gear honing is that have the indefinite cutting edge of geometry using cutter similar with roll flute.The precision of gear honing can achieve 6 ~7 grades.
Gear honing can be divided into external toothing gear honing and internal messing gear honing, and external toothing gear honing can be divided into external tooth honing wheel gear honing and snail again Rod honing wheel gear honing.External tooth honing wheel plover tooth process is high-efficient, at low cost, and it is excellent that gear honing machine tool structure is simple and convenient to operate etc. Point, but have the shortcomings that two it is fatal, first, profile accuracy cannot be improved, and generate concave tooth form；Second, honing wheel is kept Precision Time is short.Gear honing process is not in the surface defects such as grinding burning and crack since cutting speed is lower, therefore gear honing The flank of tooth crossed has preferable flank of tooth integrality.Meanwhile gear honing can reduce the residual stress generated when heat treatment, increase surface Compression extends the service life of gear.Texture caused by gear honing is aperiodic microstructure, reduces gear engagement Noise in the process increases the stationarity of work.With the development of electroplating CBN technology, hard matrix CBN honing wheel makes Hardened gear face gear honing technology is promoted, finishing function of the hard matrix honing wheel in addition to traditional gear honing may be implemented also makes pair Profile error, pitch error, the correction capability of tooth alignment error have obtained significantly being promoted.
In order to solve the problems, such as that external toothing gear honing generates concave tooth form, raker tooth gear honing processing method is suggested.But raker tooth It is that involute engaged section completes processing that master is to be applied in gear honing processing method, lacks utilization to top sword engaged section.
Summary of the invention
In order to further improve the quality of gear honing processing gear, gear honing is set to have more functions, the invention proposes one The method that kind improves gear honing processing gear, this method utilize two sections of top sword engagement processes in raker tooth gear honing processing method, into Row preprocessing and secondary operation complete tooth top tip relief or chamfered edge to improve flank of tooth quality.
When raker tooth gear honing is processed, honing wheel and Gear Contact point are distributed as shown in Figure 1 on the flank of tooth.Honing wheel connects with gear Contact is distributed on the flank of tooth is divided into AB sections, BC sections, CD sections；AB sections are gear top sword engagement process, are to be processed gear teeth tips Capable process is scraped in honing wheel surface.BC sections are involute helicoid engagement process, the shape by two standard involute helicoid engagements At.CD sections are honing wheel top sword engagement process, are that honing wheel tooth top in processed gear surface scrapes row.In raker tooth gear honing processing side Main to complete gear honing processing using BC sections of processes in method, AB sections and CD sections are not utilized well.Assuming that honing wheel along The direction of v in Fig. 1, that is, gear tooth width direction feed processing, BC sections are contact line of the honing wheel in current axial position, BC sections with On part be not processed also, BC sections of parts below have completed to process.The AB section contact point mark of raker tooth gear honing processing method Line is the tooth top of undressed part, carries out preprocessing using tooth top of this section to gear, reduces the processing of BC sections of processing tooth tops Surplus also can use AB sections of realization tooth top tip reliefs or chamfered edge function, increase the function of raker tooth gear honing processing method.Raker tooth adds The CD section contact point trace of work method is the flank of tooth of the close tooth root of machined part, can use this section and completes this part tooth The secondary operation in face improves processing quality.
AB sections for processing, specific step is as follows:
Step 1.1 establishes the engagement coordinate system of spatial intersecting axis shown in Fig. 2, wherein Ss(Os-xs,ys,zs) and Sg(Og-xg,yg, zg) it is rest frame where honing wheel and gear, z respectivelysAxis and zgAxis is overlapped with the axis of honing wheel and gear respectively, Indicate static lower honing wheel and Gear axis, S1(O1-x1,y1,z1) and S2(O2-x2,y2,z2) be respectively and honing wheel and gear Connected kinetic coordinate system, z1Axis and z2Axis is overlapped with the axis of honing wheel and gear respectively, indicates the lower honing wheel of dynamic and gear Axis,WithFor the rotational angle of honing wheel and gear, rp1And rp2The respectively operating pitch radius of honing wheel and gear, λ It is the crossed axis angle of honing wheel and gear, P is the node of honing wheel and gear.There are two types of AB sections of major functions, first is that completing pre- Processing, second is that completing tooth top tip relief or chamfered edge.For both functions, the surface of honing wheel is ideal involute helicoid, spiral shell Any point phasor coordinate is expressed as on radial facingμ1And θ1It is two parameters that can arbitrarily indicate honing wheel helicoid. For the first function, the flank of tooth of gear is also ideal involute helicoid, for second of function, the flank of tooth middle section of gear Shape for ideal involute helicoid, tip portion is related to design requirement, including chamfered edge, circular arc and conic section etc. no matter Any flank of tooth, process be all it is identical, any point phasor coordinate on the flank of tooth is expressed asμ2And θ2 It is two parameters that can arbitrarily indicate gear teeth face.
Step 1.2 is by the expression formula of the honing wheel surface and gear surface that provide in step 1.1, according to spatial conjugate original Reason, two surfaces meet at the time of contact
WhereinWithFor in SgIn coordinate system on honing wheel helicoid any point phasor coordinate with it is any on gear teeth face The expression formula of point vector coordinate, can be byWithIt is obtained through coordinate transform.Variable honing wheel corner is introduced through coordinate transformThereforeTogether When engagement contact, two o'clock is overlapped, therefore has equationThis etc. Formula includes 3 equations, 6 variables.WithFor in SgIn coordinate system on honing wheel helicoid the unit normal vector of any point with The unit normal vector of any point on gear teeth face.WhereinWhen engagement contact, Two o'clock normal vector is overlapped, therefore has equationThe equation also contains 3 equations, 6 variables.Simultaneous Equations It is availableWithRelationship, by μ1,θ1,μ2,θ2,All useIt indicates.
Step 1.3 calculates the corner of the gear met the requirements by the corner of step 1.2 honing wheel, AB sections processed Journey corresponds to oneWithArray:
Wherein(i=1~n) respectively indicates turn of honing wheel and gear in i-th group of angle data when contact is engaged Angle.This array is input in control system, makes gear honing machine according to the rule control honing wheel and gear movement in array, it is complete The preprocessing and tooth top tip relief to be completed at AB sections or chamfered edge.
CD sections for processing, specific step is as follows:
Step 2.1 establishes coordinate system, such as Fig. 2 in the way of in AB sections of procedure of processings 1.1.CD sections exist for honing wheel tooth top Gear surface scrapes row, and standard honing wheel tooth top is a crest line, and it is easy to wear that crest line scrapes row on the flank of tooth, and this method is by the honing gear teeth Top is designed to the cydariforms curve such as arc-shaped or conic section, increases its service life.In S1In coordinate system, addendum circle arc equation isξ1For the parameter of circular arc.CD sections are that honing wheel carries out secondary operation to the machined flank of tooth, this process is one The process of skin processing improves gear surface quality.Gear teeth face is ideal involute helicoid, and any point phasor coordinate is thereon
Honing wheel surface any point phasor coordinate is given in step 2.2 step 1.1 and any point vector of gear surface is sat Target expression formula, according to space meshing principle, two surfaces meet at the time of contact
WhereinFor in SgThe unit normal vector of honing wheel flank of tooth any point in coordinate system,For in SgTooth in coordinate system The unit normal vector for taking turns flank of tooth any point after solve system of equation, obtainsWithRelationship, ξ1,μ2,θ2,Entirely It uses in portionIt indicates.
Step 2.3 according to the corner of honing wheel, calculates the corner of the gear met the requirements by step 2.2, and CD section add Work process corresponds to oneWithArray:
This array is input in control system, makes gear honing machine according to the rule control honing wheel and gear fortune in array It is dynamic, complete the CD sections of gear surface finishings to be completed.
The method of improvement gear honing processing of the invention has following distinguishing feature:
1, it is processed using honing wheel top sword engagement process, improves the surface matter for being processed the Gear Root part flank of tooth Amount, increases its fatigue strength；
2, preprocessing is carried out to tooth top using gear top sword engagement process, reduces machining allowance when formal processing, from And improve the processing quality of tooth top；
3, tooth top tip relief or chamfered edge can be carried out using gear top sword engagement process, increases the function of gear honing lathe；
4, this method can also be used for the processing methods such as gear hobbing, shaving and roll flute, the cutter of use include hobboing cutter, gear shaver, Worm grinding wheel and external-gearing honing wheel.
Detailed description of the invention
Fig. 1 is contact point trace on the flank of tooth in the processing of raker tooth gear honing.
Fig. 2 is that spatial intersecting axis engages coordinate system.
Specific embodiment
Below in conjunction with specific processing instance, the present invention will be described:
Helical gears are processed using raker tooth gear honing processing method, are processed gear parameter: normal pressure angle αn2= 20 °, normal module mn2=4, tooth number Z2=56, helixangleβ2=12 °, dextrorotation, height of teeth top ha2=4, height of teeth root hf2=5.Worm screw Shape grinding wheel parameter: normal pressure angle αn1=20 °, normal module mn1=4, head number Z1=3, helix angle γ1=8 °, dextrorotation, tooth Rise ha1=4.85, height of teeth root hf1=5.5.
AB sections for processing, specific step is as follows:
(1) coordinate system shown in Fig. 2 is established, wherein Ss(Os-xs,ys,zs) and Sg(Og-xg,yg,zg) be respectively honing wheel and Rest frame where gear, zsAxis and zgAxis is overlapped with the axis of honing wheel and gear respectively, S1(O1-x1,y1,z1) and S2 (O2-x2,y2,z2) it is the kinetic coordinate system connected with honing wheel and gear, z respectively1Axis and z2Axis respectively with honing wheel and gear Axis be overlapped,WithFor the rotational angle of honing wheel and gear, rp1And rp2The respectively operating pitch of honing wheel and gear Radius, λ are the crossed axis angles of honing wheel and gear, and P is the node of honing wheel and gear.There are two types of AB sections of major functions, first is that Preprocessing is completed, second is that completing tooth top tip relief or chamfered edge.For both functions, the surface of honing wheel is that ideal gradually opens spiral Face, any point phasor coordinate is expressed as thereonμ1And θ1It is two parameters that can arbitrarily indicate honing wheel surface. For the first function, the flank of tooth of gear is also ideal involute helicoid, for second of function, the flank of tooth middle section of gear Shape for ideal involute helicoid, tip portion is related to design requirement, including chamfered edge, circular arc and conic section etc. no matter Be it is any, process be all it is identical, any point phasor coordinate on gear teeth face is expressed asμ2And θ2 It is two parameters that can arbitrarily indicate gear surface.
(2) honing wheel surface any point phasor coordinate and gear surface any point phasor coordinate are given in step (1) Expression formula, according to space meshing principle, two surfaces meet at the time of contact
WhereinFor in SgThe unit normal vector of honing wheel flank of tooth any point in coordinate system,For in SgTooth in coordinate system The unit normal vector for taking turns flank of tooth any point, it is available after solve system of equationWithRelationship, μ1,θ1, μ2,θ2,It can all useIt indicates.
(3) corner of the gear met the requirements can be calculated according to the corner of honing wheel by step (2), AB section add Work process corresponds to oneWithArray:
This array is input in control system, makes gear honing machine according to the rule control honing wheel and gear fortune in array It is dynamic, preprocessing that AB sections to be completed and tooth top tip relief or chamfered edge can be completed.
CD sections for processing, specific step is as follows:
(1) coordinate system, such as Fig. 2 are established in the way of in AB sections of procedure of processings (1).CD sections are honing wheel tooth top in gear Row is scraped on surface, and standard honing wheel tooth top is a crest line, and crest line scrapes row on the flank of tooth and is easy to wear, and this patent is by the honing gear teeth Top is designed to arc-shaped, increases its service life.In S1In coordinate system, addendum circle arc equation isξ1For circular arc Parameter.CD sections are that honing wheel carries out secondary operation to the machined flank of tooth, this process is the process of a skin processing, is improved Gear surface quality.Gear teeth face equation is ideal involute helicoid
(2) honing wheel surface any point phasor coordinate and gear surface any point phasor coordinate are given in step (1) Expression formula, according to space meshing principle, two surfaces meet at the time of contact
WhereinFor in SgThe unit normal vector of honing wheel flank of tooth any point in coordinate system,For in SgTooth in coordinate system The unit normal vector for taking turns flank of tooth any point, it is available after solve system of equationWithRelationship, ξ1,μ2,θ2,It can all useIt indicates.
(3) corner of the gear met the requirements can be calculated according to the corner of honing wheel by step (2), CD section add Work process corresponds to oneWithArray:
This array is input in control system, makes gear honing machine according to the rule control honing wheel and gear fortune in array It is dynamic, the CD sections of gear surface finishings to be completed can be completed.

Claims (1)

1.一种改善珩齿加工的方法，其特征在于：该方法利用间齿珩齿加工方法中的两段顶刃啮合过程，来进行预加工和二次加工，完成齿顶修缘或倒棱；1. a method for improving tooth honing processing is characterized in that: the method utilizes the two-section top edge meshing process in the inter-tooth honing processing method to carry out pre-processing and secondary processing, and complete tooth top trimming or chamfering. ; 间齿珩齿加工时，珩磨轮与齿轮接触点在齿面上分布共分为AB段、BC段、CD段；AB段为齿轮顶刃啮合过程，是被加工齿轮齿顶在珩磨轮表面刮行的过程；BC段为渐开螺旋面啮合过程，由两个标准渐开螺旋面啮合而形成；CD段为珩磨轮顶刃啮合过程，是珩磨轮齿顶在被加工齿轮表面刮行；在间齿珩齿加工方法中，主要应用BC段过程完成珩齿加工，AB段和CD段没有得到很好的利用；假设珩磨轮沿着v的方向即齿轮齿宽方向进刀加工，BC段是珩磨轮在当前轴向位置的接触线，BC段以上的部分还未被加工，BC段以下的部分已经完成加工；间齿珩齿加工方法的AB段接触点迹线是未加工部分的齿顶，利用这一段对齿轮的齿顶进行预加工，减少BC段加工齿顶的加工余量，也利用AB段实现齿顶修缘或倒棱功能，使间齿珩齿加工方法的功能增加；间齿加工方法的CD段接触点迹线是已加工部分的靠近齿根的齿面，利用这一段完成这部分齿面的二次加工；During inter-tooth honing, the contact points between the honing wheel and the gear are divided into AB sections, BC sections, and CD sections. The BC segment is the meshing process of the involute helical surface, which is formed by the meshing of two standard involute helical surfaces; the CD segment is the meshing process of the top edge of the honing wheel, and the tooth top of the honing wheel is scraped on the surface of the processed gear; In the inter-tooth honing processing method, the BC segment process is mainly used to complete the honing process, and the AB segment and the CD segment are not well utilized; assuming that the honing wheel is fed in the direction of v, that is, the gear tooth width direction, the BC segment is The contact line of the honing wheel at the current axial position, the part above the BC segment has not been processed, and the part below the BC segment has been processed; the AB segment contact point trace of the inter-tooth honing method is the tooth top of the unprocessed part , Use this section to pre-process the tooth top of the gear, reduce the machining allowance of the BC section to process the tooth top, and also use the AB section to realize the function of tooth top trimming or chamfering, so that the function of the inter-tooth honing processing method is increased; The contact point trace of the CD segment of the tooth processing method is the tooth surface of the processed part near the root of the tooth, and this segment is used to complete the secondary processing of this part of the tooth surface; AB段用来加工的具体步骤如下：The specific steps of AB section for processing are as follows: 步骤1.1建立空间交错轴啮合坐标系，其中Ss(Os-xs,ys,zs)和Sg(Og-xg,yg,zg)分别是珩磨轮和齿轮所在的静止坐标系，zs轴和zg轴分别与珩磨轮和齿轮的轴线重合，表示静态下珩磨轮与齿轮轴线，S1(O1-x1,y1,z1)和S2(O2-x2,y2,z2)分别是与珩磨轮和齿轮固连的运动坐标系，z1轴和z2轴分别与珩磨轮和齿轮的轴线重合，表示动态下珩磨轮与齿轮轴线，和为珩磨轮与齿轮的转动角度，rp1和rp2分别为珩磨轮与齿轮的工作节圆半径，λ是珩磨轮与齿轮的轴交角,P是珩磨轮与齿轮的节点；AB段的主要功能有两种，一是完成预加工，二是完成齿顶修缘或倒棱；对于这两种功能，珩磨轮的表面均为理想渐开螺旋面，螺旋面上任一点矢量坐标表示为μ1和θ1是任意可表示珩磨轮螺旋面的两个参数；对于第一种功能，齿轮的齿面也是理想渐开螺旋面，对于第二种功能，齿轮的齿面中间部分为理想渐开螺旋面，齿顶部分的形状与设计要求相关，包括倒棱、圆弧和二次曲线等，无论是哪一种齿面，加工过程都是相同的，将齿面上任一点矢量坐标表示为μ2和θ2是任意表示齿轮齿面的两个参数；Step 1.1 Establish a space staggered axis meshing coordinate system, where S s (O s -x s , y s , z s ) and S g (O g -x g , y g , z g ) are where the honing wheel and gear are located, respectively In the static coordinate system, the z s axis and the z g axis coincide with the axes of the honing wheel and the gear, respectively, indicating the static lower honing wheel and the gear axis, S 1 (O 1 -x 1 , y 1 , z 1 ) and S 2 (O 1 , z 1 ) 2 -x 2 , y 2 , z 2 ) are the moving coordinate systems fixedly connected with the honing wheel and the gear, respectively, the z 1 axis and the z 2 axis coincide with the axes of the honing wheel and the gear respectively, indicating that the dynamic lower honing wheel and the gear axis , and is the rotation angle of the honing wheel and the gear, r p1 and r p2 are the working pitch circle radii of the honing wheel and the gear respectively, λ is the axis angle of the honing wheel and the gear, P is the node of the honing wheel and the gear; the main function of the AB section There are two types, one is to complete pre-processing, the other is to complete tooth top trimming or chamfering; for these two functions, the surface of the honing wheel is an ideal involute helical surface, and the vector coordinates of any point on the helical surface are expressed as: μ 1 and θ 1 are any two parameters that can represent the helical surface of the honing wheel; for the first function, the tooth surface of the gear is also an ideal involute helical surface, and for the second function, the middle part of the tooth surface of the gear is an ideal involute helical surface. For the helical surface, the shape of the tooth top part is related to the design requirements, including chamfers, arcs and quadratic curves. No matter which tooth surface is used, the processing process is the same. The vector coordinates of any point on the tooth surface are expressed as μ 2 and θ 2 are two parameters that arbitrarily represent the gear tooth surface; 步骤1.2通过步骤1.1中给出的珩磨轮表面和齿轮表面的表达式，根据空间啮合原理，两个表面在接触时满足Step 1.2 Through the expressions for the honing wheel surface and gear surface given in step 1.1, according to the principle of space meshing, the two surfaces satisfy when they are in contact 其中与为在Sg坐标系中珩磨轮螺旋面上任一点矢量坐标与齿轮齿面上任一点矢量坐标的表达式，由与经坐标变换得出；经坐标变换引入变量珩磨轮转角故 同啮合接触时，两点重合，故有等式该等式包含3个方程6个变量；与为在Sg坐标系中珩磨轮螺旋面上任一点的单位法向量与齿轮齿面上任一点的单位法向量；其中啮合接触时，两点法向量重合，故有等式该等式也含3个方程6个变量；联立方程组得到与的关系，将μ1,θ1,μ2,θ2,全部用表示；in and is the expression of the vector coordinates of any point on the helical surface of the honing wheel and the vector coordinates of any point on the gear tooth surface in the S g coordinate system, by and Obtained through coordinate transformation; introduced variable honing wheel angle through coordinate transformation Therefore same In meshing contact, the two points coincide, so there is an equation The equation contains 3 equations and 6 variables; and is the unit normal vector of any point on the helical surface of the honing wheel and the unit normal vector of any point on the gear tooth surface in the S g coordinate system; where During meshing contact, the normal vectors of the two points coincide, so there is an equation The equation also contains 3 equations and 6 variables; a system of simultaneous equations get and The relationship between μ 1 , θ 1 , μ 2 , θ 2 , use all express; 步骤1.3通过步骤1.2珩磨轮的转角，算出满足要求的齿轮的转角，AB段的加工过程对应着一个与的数组：Step 1.3 Calculate the rotation angle of the gear that meets the requirements through the rotation angle of the honing wheel in step 1.2. The machining process of section AB corresponds to a and an array of: 其中分别表示接触啮合时第i组转角数据中珩磨轮与齿轮的转角；将这个数组输入到控制系统中，使珩齿机按照数组中的规律控制珩磨轮和齿轮运动，完成AB段要完成的预加工和齿顶修缘或倒棱；in Respectively represent the rotation angle of the honing wheel and the gear in the i-th group of rotation angle data during contact meshing; input this array into the control system, so that the gear honing machine controls the honing wheel and gear movement according to the rules in the array, and completes the preparatory work to be completed in the AB section. Machining and tip trimming or chamfering; CD段用来加工的具体步骤如下：The specific steps for CD segment processing are as follows: 步骤2.1按照AB段加工步骤1.1中的方式建立坐标系；CD段为珩磨轮齿顶在齿轮表面刮行，标准珩磨轮齿顶是一条棱线，棱线在齿面上刮行易磨损，本方法将珩磨轮齿顶设计成圆弧状或二次曲线等鼓形曲线；在S1坐标系中，齿顶圆弧方程为ξ1为圆弧的参数；CD段是珩磨轮对已加工的齿面进行二次加工，这个过程是一个光整加工的过程；齿轮齿面为理想渐开螺旋面，其上任一点矢量坐标为 Step 2.1 Establish the coordinate system according to the method in step 1.1 of AB section processing; CD section is the honing wheel tooth tip scraping on the gear surface, the standard honing wheel tooth tip is an ridge line, and the ridge line scraping on the tooth surface is easy to wear. Methods The tooth tip of the honing wheel is designed as a drum-shaped curve such as a circular arc or a quadratic curve; in the S 1 coordinate system, the tooth tip arc equation is ξ 1 is the parameter of the arc; the CD segment is the secondary machining of the machined tooth surface by the honing wheel, which is a finishing process; the gear tooth surface is an ideal involute helical surface, and the vector coordinate of any point on it is 步骤2.2步骤1.1中给出了珩磨轮表面任一点矢量坐标和齿轮表面任一点矢量坐标的表达式，根据空间啮合原理，两个表面在接触时满足Step 2.2 In step 1.1, the expressions of the vector coordinates of any point on the surface of the honing wheel and the vector coordinates of any point on the surface of the gear are given. According to the principle of space meshing, the two surfaces meet when they are in contact. 其中为在Sg坐标系中珩磨轮齿面任一点的单位法向量，为在Sg坐标系中齿轮齿面任一点的单位法向量，求解方程组后，得到与的关系，ξ1,μ2,θ2,全部用表示；in is the unit normal vector of any point on the tooth surface of the honing wheel in the S g coordinate system, is the unit normal vector of any point on the gear tooth surface in the S g coordinate system, after solving the equation system, we get and relationship, ξ 1 , μ 2 , θ 2 , use all express; 步骤2.3通过步骤2.2根据珩磨轮的转角，算出满足要求的齿轮的转角，CD段的加工过程对应着一个与的数组：Step 2.3 Through step 2.2, according to the rotation angle of the honing wheel, calculate the rotation angle of the gear that meets the requirements. The processing process of the CD segment corresponds to a and an array of: 将这个数组输入到控制系统中，使珩齿机按照数组中的规律控制珩磨轮和齿轮运动，完成CD段要完成的齿面光整。This array is input into the control system, so that the gear honing machine controls the movement of the honing wheel and gear according to the rules in the array, and completes the finishing of the tooth surface to be completed in the CD section.
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