CN112958850B - Continuous indexing gear grinding method for cycloidal-tooth bevel gear - Google Patents

Continuous indexing gear grinding method for cycloidal-tooth bevel gear Download PDF

Info

Publication number
CN112958850B
CN112958850B CN202110171655.5A CN202110171655A CN112958850B CN 112958850 B CN112958850 B CN 112958850B CN 202110171655 A CN202110171655 A CN 202110171655A CN 112958850 B CN112958850 B CN 112958850B
Authority
CN
China
Prior art keywords
gear
tooth
sand rod
interference
sand
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.)
Active
Application number
CN202110171655.5A
Other languages
Chinese (zh)
Other versions
CN112958850A (en
Inventor
张卫青
魏新琪
郭晓东
谭儒龙
张明德
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Chongqing University of Technology
Original Assignee
Chongqing University of Technology
Priority date (The priority date 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 date listed.)
Filing date
Publication date
Application filed by Chongqing University of Technology filed Critical Chongqing University of Technology
Priority to CN202110171655.5A priority Critical patent/CN112958850B/en
Publication of CN112958850A publication Critical patent/CN112958850A/en
Application granted granted Critical
Publication of CN112958850B publication Critical patent/CN112958850B/en
Active legal-status Critical Current
Anticipated expiration legal-status Critical

Links

Images

Classifications

    • BPERFORMING OPERATIONS; TRANSPORTING
    • B23MACHINE TOOLS; METAL-WORKING NOT OTHERWISE PROVIDED FOR
    • B23FMAKING GEARS OR TOOTHED RACKS
    • B23F9/00Making gears having teeth curved in their longitudinal direction
    • B23F9/02Making gears having teeth curved in their longitudinal direction by grinding

Abstract

The invention discloses a continuous indexing gear grinding method of a cycloidal-tooth bevel gear, which is characterized in that after the cycloidal-tooth bevel gear is manufactured by an end face hobbing method, a cutter bar used for end face hobbing on a cutter disc is replaced by a conical sand rod, the same technological parameters as those of the end face hobbing are adopted, a bus of the conical sand rod is utilized to carry out continuous indexing gear grinding on the cycloidal-tooth bevel gear, the motion track of the conical sand rod is a quasi-extension epicycloid, and the tooth surface of the cycloidal-tooth bevel gear can be efficiently and accurately ground.

Description

Continuous indexing gear grinding method for cycloidal-tooth bevel gear
Technical Field
The invention relates to gear grinding, in particular to a continuous indexing gear grinding method for a cycloidal-tooth bevel gear.
Background
The end face hobbing method can perform continuous indexing processing, while the end face milling method can only perform single indexing processing, namely after one tooth surface is processed, a cutter head is separated from a tooth blank, the tooth blank rotates for an angle, and then tooth cutting processing is performed. Therefore, compared with an end face gear milling method, the end face hobbing method has higher processing efficiency and is widely applied to the gear industry. However, due to the forming principle of the face hobbing method, the longitudinal tooth profile curve of the tooth surface of the forming wheel is an extended epicycloid generated by continuous indexing motion, and the face hobbing gear is difficult to grind by using a grinding wheel.
The cycloidal-tooth bevel gear can be subjected to continuous indexing cutting by adopting an end face hobbing method, and has high production efficiency. Meanwhile, the gear is widely applied to mechanical equipment such as automobiles, aerospace, large ships, heavy engineering machinery and the like due to high bearing capacity and high transmission stability. The generating gear tooth surface of the cycloidal-tooth bevel gear is a swept curved surface with a cutting edge extending along an epicycloid in theory, but not a revolution curved surface, and the gear grinding processing is difficult in theory.
At present, some enterprises improve the tooth surface precision of the gear by adopting a lapping process, although the lapping process can eliminate the tooth error of the tooth surface to a certain extent, and improve the roughness of the tooth surface and reduce the noise. However, for gear pairs with large deformation after heat treatment, the gear grinding process cannot change the position of the contact region, so the gear grinding process has certain application conditions, cannot be adopted under the condition of large deformation in the heat treatment process, and gears after being ground can only be used in pairs, and have no good interchangeability. Or using carbide inserts to scrape off a very thin hardened surface, but in machining using carbide scraping tools, higher demands are made on the strength of the tool and the rigidity of the machine tool to avoid the tool from being damaged due to the periodic fluctuation of the cutting force, thereby causing large cost loss, and such a way is difficult to adapt to the trend of modern manufacturing industry.
Disclosure of Invention
The invention aims to provide a continuous indexing tooth grinding method for a cycloidal-tooth bevel gear, which can carry out efficient and accurate grinding processing on the tooth surface of the cycloidal-tooth bevel gear.
The continuous indexing gear grinding method for the cycloidal-tooth bevel gear comprises the steps of processing the cycloidal-tooth bevel gear by an end face hobbing method, replacing a cutter bar used for end face hobbing on a cutter disc with a conical sand rod, and carrying out continuous indexing gear grinding on the cycloidal-tooth bevel gear by utilizing a bus of the conical sand rod by adopting the same technological parameters as those of the end face hobbing, wherein the motion track of the conical sand rod is similar to an extension epicycloid.
Furthermore, the generatrix of the conical sand rod is superposed with the edge line of the knife strip, and the normal vector on the theoretical generating surface formed by the generatrix of the conical sand rod and the edge of the knife strip is the same.
Further, the width of the cutter top of the sand rod is limited to avoid relative interference of a non-cutting surface of the sand rod to a machined tooth surface, and the method specifically comprises the following steps: when the small end of the convex surface of the gear is ground, the distance from the non-working surface of the small end of the gear to the concave surface is as follows: Δ wi=wicv-wilvIn the formula (I), wherein,
Figure BDA0002939078530000021
Figure BDA0002939078530000022
is the radial vector of the small end node of the concave surface of the gear,
Figure BDA0002939078530000023
is the radius vector, beta, of the convex small end node of the geariIs the helix angle of the small end of the gear;
Figure BDA0002939078530000024
Figure BDA0002939078530000025
the radius of a non-working surface of the sand rod in the grinding process is the radius vector, and w is the width of a cutter top of the sand rod; if Δ wiIf the value is negative, the non-working surface of the sand rod generates relative interference between the small end of the gear and the concave surface node, if the value is positive, the interference is not generated, and the maximum cutter top width w of the sand rod at the small end without interference is determinedis(ii) a When the sand rod is processed towards the big end of the convex surface of the gear, the tooth surface radial vector of the non-working surface is processed
Figure BDA0002939078530000026
Expressed in terms of surface independent parameters (u, v) by
Figure BDA0002939078530000027
The position of the sand rod is determined by iterative solution,
Figure BDA0002939078530000028
and
Figure BDA0002939078530000029
sagittal and normal vectors, Δ w, of the concave surface of the gear big endeIs the minimum distance between the non-cutting surface and the node of the concave surface at the big end of the gear, if delta weIf the positive value is negative, the non-working surface of the sand rod generates relative interference with the node of the big end concave surface, if the positive value is positive, the interference is not generated, and the maximum cutter top width w of the sand rod in the process of machining the big end convex surface of the gear is determinedesDetermining the maximum knife top width w without interference when the sand rod is used for processing the convex surface by taking the minimum value at the obtained large end and the minimum value at the obtained small endpv=min(wis,wes) The maximum knife top width w of the sand rod without interference when processing the concave surface is obtained in the same waypc
Further, when the pressure angles of the concave surface and the convex surface of the gear are not consistent, the pressure angle is in the direction of the tooth heightTo the width of the sand bar topv=wpv-ha(tanαc-tanαv)-2hftanαv、wc=wpc-ha(tanαc-tanαv)-2hftanαcIs calculated to obtain, in the formula, wvWidth of sand bar top without interference for processing concave surface, wcMachining gear convex surface does not generate the sand bar top width of the interference, alphac、αvPressure angles, h, of concave and convex gear faces, respectivelyaIs the tooth crest height hfThe tooth root is high.
Furthermore, in order to meet the requirement of the relative linear velocity of the sand rod and the tooth surface during gear grinding, the conical sand rod revolves around the axis of the cutter head in the continuous indexing motion, and the conical sand rod rotates under the driving of the driving assembly, so that the defect of the relative velocity of the tooth surface and the sand rod in the continuous indexing motion is overcome, and the rotation velocity is reasonably limited according to actual requirements.
Compared with the prior art, the invention has the following beneficial effects.
1. According to the invention, the cutter bars used for end face hobbing on the cutter head are replaced by the conical sand rods, the tooth surfaces of the cycloidal-tooth bevel gears are subjected to continuous indexing grinding processing by utilizing the generatrices of the conical sand rods, and any instantaneous curved surface envelope of the conical sand rods in the tooth length direction forms a tooth trace shape of a kind of extension epicycloid through space motion, so that the tooth surfaces of the cycloidal-tooth bevel gears can be subjected to efficient and accurate grinding processing.
2. According to the invention, the generatrix of the sand rod is limited to coincide with the edge line of the cutter strip, and the generatrix of the sand rod is identical to the loss on the edge line of the cutter strip, so that the form parameters and the installation parameters of the conical sand rod can be determined, and further the normal operation of continuous indexing gear grinding is ensured.
3. According to the invention, through interference calculation and analysis, the sand rod is ensured not to generate relative interference with the tooth surface of the gear when the sand rod grinds the convex surface, the self strength of the sand rod is ensured, and the ridge leaving condition of the root part of the tooth socket is avoided.
4. Compared with hobbing processing, the gear grinding method requires higher linear speed at the node position, the conical sand rod is driven to rotate by the driving assembly, so that the conical sand rod has certain rotation speed, the requirement on the continuous indexing rotation speed of the cutter head and the gear during grinding of the cycloidal-tooth bevel gear is further reduced, and the processing difficulty is reduced.
Drawings
FIG. 1 is a schematic view of the continuous indexing tooth grinding principle of the present invention;
FIG. 2 is a schematic diagram of the tooth profile of the continuous indexing grinding teeth of the present invention;
FIG. 3 is a schematic diagram of the tooth profile deviation of the concave surface of the bull wheel according to the present invention;
FIG. 4 is a schematic view of the convex surface profile deviation of the large wheel of the present invention;
FIG. 5 is a schematic diagram of the tooth profile deviation of the concave surface of the small wheel of the present invention;
FIG. 6 is a schematic diagram of the tooth profile deviation of the crowning of the small wheel of the present invention;
FIG. 7 is a schematic diagram of the geometric relationship between the sand rod and the gear during gear grinding;
FIG. 8 is a schematic view of the interference position of the sand bar during convex surface processing;
FIG. 9 is a schematic view of the interference position of the sand bar of the present invention when processing concave surfaces.
Detailed Description
The invention is described in detail below with reference to the figures and the specific embodiments.
According to the continuous indexing tooth grinding method for the cycloidal-tooth bevel gear, the cycloidal-tooth bevel gear is manufactured through an end face hobbing method, referring to fig. 1, then cutter bars used for end face hobbing on a cutter head are replaced by conical sand bars in situ, the generatrix of each conical sand bar is overlapped with the edge line of each cutter bar, and the generatrix of each conical sand bar is the same as the normal vector on a theoretical generating face formed by the edges of the cutter bars. After the conical sand rod is replaced in situ, the grinding parameters are adjusted, and then the generating line of the sand rod is used for carrying out continuous indexing grinding on the cycloidal-tooth bevel gear.
The generating line of the conical sand rod replaces the cutting edge of the cutter bar, and the gear grinding processing is carried out in the motion process of the end face hobbing method, so that the problem that the cycloid gear cannot be ground is solved, the gear grinding processing can be carried out in a continuous indexing mode, and the high processing efficiency can be achieved. Because of the phase change of the processing generatrix of the sand rod in the continuous indexing gear grinding movement, the tooth surface form after gear grinding has certain deviation with the tooth surface form processed by the traditional end face hobbing method, but the deviation is very small, and the influence on the contact performance of the gear pair is small.
The tooth surface deviation of a pair of 14 multiplied by 47 passenger car drive axle cycloidal tooth bevel gears is analyzed and calculated, and the basic parameters of the gear pair are shown in table 1.
TABLE 1 cycloidal-tooth bevel gear pair geometry parameters
Item Small wheel Big wheel
Number of teeth 14 47
Modulus (mm) 5.106 5.106
Angle of intersection of axes 90° 90°
Offset distance (mm) 30 30
Tooth surface width (mm) 42.19 38
Helix angle 44° 27°59′
Direction of rotation Left side of Right side
Small end helix angle 31°39′ 12°10′
Big end helix angle 53°52′ 40°16′
Height of tooth 8.87 8.87
Angle of mean pressure 21°15′ 21°15′
The large wheel of the gear pair is processed by a forming method, the small wheel is processed by a generating method, and the adjustment parameters and the cutter parameters of the gear cutting machine are shown in a table 2.
TABLE 2 Gear machining parameters
Item Small wheel Big wheel
Machine tool mounting root angle 0.16° 63.67°
Horizontal wheel position (mm) -0.1586 10.6474
Vertical wheel position (mm) 30.1221 0
Bed (mm) 27.4363 0
Radial knife position (mm) 119.6412 125.551
Roll ratio (mm) 3.360537 0
Number of sets of teeth 13 13
Angle of inclination of the knife 27.47°
Corner of knife 320.25°
Initial cradle angle none 36.54635°
Radius of outer knife reference point (mm) 75.578 76.252
Outer knife pressure angle 25.1° 23.66°
Offset angle of outer cutter 19.227° 18.657°
Outer knife reference point height (mm) 5.038 4.887
Radius of inner cutter reference point (mm) 75.938 75.688
Inner cutter pressure angle 18.38° 19.10°
Offset angle of inner cutter 18.138° 17.161°
Inner knife reference point height (mm) 5.038 5.180
The tooth surface of the cycloidal-tooth bevel gear is an inextensible straight grain surface, the sand rod is an expandable straight grain surface, and the curved surface of the sand rod and the tooth surface of the cycloidal-tooth bevel gear cannot be tangent to a straight generatrix on the sand rod theoretically but are tangent to a curved surface enveloped by the sand rod. At this time, the distortion phenomenon occurs in the deviation distribution of the enveloping surface of the sand bar and the generating wheel tooth surface of the cycloid tooth bevel gear. Calculating the radial vector V of the tooth surface of the face hobbing method by the face hobbing method and the tooth surface equation calculation method of the continuous indexing gear grinding method respectively according to the processing parametersfAnd vector nfTooth surface radial vector V 'of continuous indexing tooth grinding method'wAnd normal vector n'wBy Δ e ═ V'w-Vf)·nfThe deviation calculation of the tooth surface discrete points is performed, and the results are shown in fig. 3 to 6.
The average deviations of the concave surface and the convex surface of the big wheel are respectively 0.48 mu m and 0.09 mu m, the average deviations of the concave surface and the convex surface of the small wheel are respectively 0.13 mu m and 0.14 mu m, and the deviation value is very small, so that the method shows that the deviation of the tooth surface obtained by the continuous indexing gear grinding method and the tooth surface obtained by the end face gear hobbing method is small, the influence on the contact performance of the big wheel and the small wheel of the gear pair is relatively small after the gear grinding, and further shows that the tooth surface of the cycloidal tooth bevel gear can be efficiently and accurately ground by replacing the cutter bar for the end face gear hobbing with the conical sand rod.
As a preferred embodiment of the present invention, see FIG. 7, let us sayc={Oc,ic,jc,kcIs a coordinate system describing the position of the cutter head, OcIs the center of the cutter head, icThe direction is from the center of the cradle to the center of the cutter head. Sigma'c={O′c,i′c,j′c,k′cIs a rotating coordinate system describing the cutterhead, where i'cO'cj'cIs the plane of the tooth node in the cutter head, k'cFor the axis vector of the tool-carrier oriented away from the plane of the tool-top, sigmap={Op,ip,jp,kpIs a coordinate system describing the gear, OpThe origin of the coordinate system of the gear is also the axis staggered point of the big wheel and the small wheel.
The non-cutting surfaces of the sand bars are easy to generate relative interference to the machined tooth surfaces, and the interference is mainly generated due to the fact that the tooth form angle of the non-cutting edges is too large and the tool top width of the sand bars is too large. Because the sand rod is a revolving body cutter, the tooth profile angle of a non-cutting surface cannot be independently adjusted, and the cutter top width of the sand rod needs to be maximally taken under the condition of ensuring that the tooth surfaces do not generate interference in order to ensure the strength of the sand rod and avoid ridges at the bottom of the tooth grooves when the inner cutter and the outer cutter are machined. The method avoids relative interference of a non-cutting surface of the sand rod to a machined tooth surface by limiting the width of a cutter top of the sand rod, and specifically comprises the following steps: when the small end of the convex surface of the gear is ground, the non-cutting surface of the sand rod is easy to interfere with a certain position of the concave surface of the gear along the normal direction of the normal vector of the non-cutting surface of the sand rod. The tooth surface boundary lines of the small ends of the concave surface and the convex surface of the gear can be discretized through the gear blank parameters. The intersection points of the gear pitch line and the tooth surface boundary lines of the small end and the big end concave-convex surfaces of the gear, which can be obtained by calculating the pitch cone parameters, are set as the coordinates of the intersection points on the axial section as (R)ic,Lic)、(Riv,Liv)、(Rec,Lec)、 (Rev,Lev). Then the radius vector of the convex small end node of the gear can be obtained according to the tooth surface equation calculation method
Figure BDA0002939078530000061
And vector of the Hewei
Figure BDA0002939078530000062
Andsmall end node radius vector of concave surface
Figure BDA0002939078530000063
And vector of the Hewei
Figure BDA0002939078530000064
Substitute it into
Figure BDA0002939078530000065
The corresponding tooth surface parameters (q, theta, b) on the boundary line of the small end of the gear can be solvedt1)。
In a similar way, the corresponding tooth surface parameters of the concave surface node of the small end of the gear can be obtained, the radial vectors of the concave surface and the convex surface node of the small end of the gear are obtained, and the minimum distance between the concave surface and the convex surface node of the small end of the gear along the normal direction is obtained:
Figure BDA0002939078530000066
in the formula betaiIs the helix angle of the small end of the gear.
The radius vector of the non-working surface of the sand rod in the grinding process is obtained according to the envelope principle
Figure BDA0002939078530000067
And the normal vector of
Figure BDA0002939078530000068
The distance from the working surface to the non-working surface of the sand bar can be obtained:
Figure BDA0002939078530000069
w is the tool tip width of sand stick in the formula, and then the distance of gear tip non-working face to concave surface is: Δ wi=wicv-wilvIf Δ wiIf the value is negative, the non-working surface of the sand rod generates relative interference between the small end of the gear and the concave surface node, if the value is positive, the interference is not generated, and the maximum cutter top width w of the sand rod at the small end without interference is determinedis
When the sand rod is processed towards the big end of the convex surface of the gearRadius vector of tooth surface of non-working surface
Figure BDA00029390785300000610
Expressed in terms of surface independent parameters (u, v) by
Figure BDA00029390785300000611
The position of the sand rod is determined by iterative solution,
Figure BDA00029390785300000612
and
Figure BDA00029390785300000613
sagittal and normal vectors, Δ w, of the concave surface of the gear big endeIs the minimum distance between the non-cutting surface and the node of the concave surface at the big end of the gear, if delta weIf the positive value is negative, the non-working surface of the sand rod generates relative interference with the node of the big end concave surface, if the positive value is positive, the interference is not generated, and the maximum cutter top width w of the sand rod in the process of machining the big end convex surface of the gear is determinedesDetermining the maximum knife top width w without interference when the sand rod is used for processing the convex surface by taking the minimum value at the obtained large end and the minimum value at the obtained small endpv=min(wis,wes) The maximum knife top width w of the sand rod without interference when processing the concave surface is obtained in the same waypc
Since the sand bar is a rotary cutter, the pressure angle of the non-working surface is the same as that of the working surface, but the pressure angles of the concave-convex surfaces of the gear are not the same, so that it is necessary to analyze the interference in the tooth height direction. Referring to fig. 8 and 9, when the pressure angles of the concave surface and the convex surface of the gear are not consistent, interference occurs at the tooth top and the tooth bottom most easily, and the interference can be avoided by performing interference calculation on the tooth top or the tooth bottom according to the conditions of the concave surface and the convex surface. The width of the sand rod knife top in the tooth height direction passes wv=wpv-hf(tanαc-tanαv)-2hf tanαv、wc=wpc-ha(tanαc-tanαv)-2hf tanαcIs calculated to obtain, in the formula, wvWidth of sand bar top without interference for processing concave surface, wcNo convex surface is generated during processing of the gearWidth of the interference sand bar knife top, alphac、αvPressure angles, h, of concave and convex gear faces, respectivelyaIs the tooth crest height hfThe tooth root is high.
The method can ensure that the sand rod does not generate relative interference with the concave surface when the convex surface is machined in the whole machining process through three position verification, can also ensure the self strength of the sand rod and avoid the ridge leaving condition of the root of the tooth socket, and also can adjust machining parameters through the tooth surface equation of the concave surface and related gear cutting when the concave surface is ground, and can analyze the interference condition of the tooth surface by recalculating according to the method and obtain the maximum cutter top width of the sand rod when the concave surface is machined.
As a preferred embodiment of the invention, referring to FIG. 2, the conical sand rod is driven to rotate by the driving assembly, and the rotation speed is reasonably limited according to actual requirements. Compared with hobbing processing, the grinding device has the advantages that the conical sand rod is driven to rotate by the driving assembly to enable the conical sand rod to have a certain rotation speed, so that the requirement on the continuous indexing rotation speed of the cutter head and the gear during grinding of the cycloidal-tooth bevel gear is reduced, and the processing difficulty is reduced.
The above description is only for the purpose of illustrating the preferred embodiments of the present invention and is not to be construed as limiting the invention, and any modifications, equivalents and improvements made within the spirit and principle of the present invention are intended to be included within the scope of the present invention.

Claims (4)

1. A method for continuously indexing and grinding a bevel gear with cycloid teeth is characterized by comprising the following steps: the method comprises the following steps of (1) processing and manufacturing a cycloidal-tooth bevel gear by an end face hobbing method, replacing a cutter bar used for end face hobbing on a cutter disc with a conical sand rod, carrying out continuous indexing gear grinding on the cycloidal-tooth bevel gear by utilizing a bus of the conical sand rod by adopting the same technological parameters as those of end face hobbing, and enabling the motion track of the conical sand rod to be similar to an extension epicycloid;
the method avoids relative interference of a non-cutting surface of the sand rod to a machined tooth surface by limiting the width of a cutter top of the sand rod, and specifically comprises the following steps:
when the small end of the convex surface of the gear is ground, the distance from the non-working surface of the small end of the gear to the concave surface is as follows:
Δwi=wicv-wilvin the formula (I), wherein,
Figure FDA0003403264170000011
Figure FDA0003403264170000012
is the radial vector of the small end node of the concave surface of the gear,
Figure FDA0003403264170000013
is the radius vector, beta, of the convex small end node of the geariIs the helix angle of the small end of the gear;
Figure FDA0003403264170000014
Figure FDA0003403264170000015
the radius of a non-working surface of the sand rod in the grinding process is the radius vector, and w is the width of a cutter top of the sand rod;
if Δ wiIf the value is negative, the non-working surface of the sand rod generates relative interference between the small end of the gear and the concave surface node, if the value is positive, the interference is not generated, and the maximum cutter top width w of the sand rod at the small end without interference is determinedis
When the sand rod is processed towards the big end of the convex surface of the gear, the tooth surface radial vector of the non-working surface is processed
Figure FDA0003403264170000016
Expressed in terms of surface independent parameters (u, v) by
Figure FDA0003403264170000017
The position of the sand rod is determined by iterative solution,
Figure FDA0003403264170000018
and
Figure FDA0003403264170000019
sagittal and normal vectors, Δ w, of the concave surface of the gear big endeIs the minimum distance between the non-cutting surface and the node of the concave surface at the big end of the gear, if delta weIf the positive value is negative, the non-working surface of the sand rod generates relative interference with the node of the big end concave surface, if the positive value is positive, the interference is not generated, and the maximum cutter top width w of the sand rod in the process of machining the big end convex surface of the gear is determinedesDetermining the maximum knife top width w without interference when the sand rod is used for processing the convex surface by taking the minimum value at the obtained large end and the minimum value at the obtained small endpv=min(wis,wes) The maximum knife top width w of the sand rod without interference when processing the concave surface is obtained in the same waypc
2. The continuous indexing tooth grinding method for the cycloidal-tooth bevel gear according to claim 1, wherein: the generatrix of the conical sand rod is superposed with the edge line of the cutter bar, and the normal vector on the theoretical generating surface formed by the generatrix of the conical sand rod and the edge of the cutter bar is the same.
3. The continuous indexing tooth grinding method for the cycloidal-tooth bevel gear according to claim 1 or 2, characterized in that: when the pressure angles of the concave surface and the convex surface of the gear are not consistent, the width of the cutter top of the sand rod in the tooth height direction passes through wv=wpv-ha(tanαc-tanαv)-2hf tanαv、wc=wpc-ha(tanαc-tanαv)-2hf tanαcIs calculated to obtain, in the formula, wvWidth of sand bar top without interference for processing concave surface, wcMachining gear convex surface does not generate the sand bar top width of the interference, alphac、αvPressure angles, h, of concave and convex gear faces, respectivelyaIs the tooth crest height hfRoot height, wpvThe maximum knife top width, w, of the sand rod without interference when processing convex surfacepcThe maximum cutter top width of the sand rod without interference when the concave surface is processed.
4. The continuous indexing tooth grinding method for the cycloidal-tooth bevel gear according to claim 1 or 2, characterized in that: the conical sand rod is driven to rotate through the driving assembly, and the rotation speed is reasonably limited according to actual requirements.
CN202110171655.5A 2021-02-08 2021-02-08 Continuous indexing gear grinding method for cycloidal-tooth bevel gear Active CN112958850B (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CN202110171655.5A CN112958850B (en) 2021-02-08 2021-02-08 Continuous indexing gear grinding method for cycloidal-tooth bevel gear

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN202110171655.5A CN112958850B (en) 2021-02-08 2021-02-08 Continuous indexing gear grinding method for cycloidal-tooth bevel gear

Publications (2)

Publication Number Publication Date
CN112958850A CN112958850A (en) 2021-06-15
CN112958850B true CN112958850B (en) 2022-03-29

Family

ID=76275409

Family Applications (1)

Application Number Title Priority Date Filing Date
CN202110171655.5A Active CN112958850B (en) 2021-02-08 2021-02-08 Continuous indexing gear grinding method for cycloidal-tooth bevel gear

Country Status (1)

Country Link
CN (1) CN112958850B (en)

Citations (6)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN101015870A (en) * 2006-11-08 2007-08-15 湖南中大创远数控装备有限公司 Six-five axis spiral awl gear cutting machine
CN101249524A (en) * 2008-04-11 2008-08-27 袁正敏 Device for wedge pressure forming process gear
CN109482984A (en) * 2018-11-09 2019-03-19 重庆理工大学 A kind of teeth grinding method of method of forming overlikon spiral bevel gear
JP2019516569A (en) * 2016-05-19 2019-06-20 ザ グリーソン ワークス Topland beveling of gears
DE102018115401A1 (en) * 2018-06-26 2020-01-02 Klingelnberg Ag METHOD FOR FINISHING BEVEL WORKPIECES
CN210879050U (en) * 2019-09-03 2020-06-30 常州市格里森前进齿轮有限公司 Tip grinding tool for spiral bevel gear machining tool

Patent Citations (6)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN101015870A (en) * 2006-11-08 2007-08-15 湖南中大创远数控装备有限公司 Six-five axis spiral awl gear cutting machine
CN101249524A (en) * 2008-04-11 2008-08-27 袁正敏 Device for wedge pressure forming process gear
JP2019516569A (en) * 2016-05-19 2019-06-20 ザ グリーソン ワークス Topland beveling of gears
DE102018115401A1 (en) * 2018-06-26 2020-01-02 Klingelnberg Ag METHOD FOR FINISHING BEVEL WORKPIECES
CN109482984A (en) * 2018-11-09 2019-03-19 重庆理工大学 A kind of teeth grinding method of method of forming overlikon spiral bevel gear
CN210879050U (en) * 2019-09-03 2020-06-30 常州市格里森前进齿轮有限公司 Tip grinding tool for spiral bevel gear machining tool

Also Published As

Publication number Publication date
CN112958850A (en) 2021-06-15

Similar Documents

Publication Publication Date Title
KR101976847B1 (en) Semi-completing skiving method and device having corresponding skiving tool for executing a semi-completing skiving method
EP3094441B1 (en) Machine and method for machining gear teeth
CN105156637B (en) A kind of oblique line flank of tooth gear driving pair and facewidth geometric design method
US9108258B2 (en) Method and tool for manufacturing face gears
US9132493B2 (en) Continuous method for manufacturing face gears
CN111644909B (en) Method for solving grinding track of rear cutter face of woodworking forming milling cutter
CN109482984B (en) Gear grinding method for forming cycloidal-tooth bevel gear
US10295039B2 (en) Convex gear tooth edge break
CN108568567B (en) Spiral bevel gear machining method based on universal four-axis numerical control machine tool and ball end milling cutter
CN108941785B (en) Universal disc cutter composite milling process for large-modulus cylindrical outer gear
JP5061186B2 (en) Internal gear-shaped diamond dresser, truing of grinding wheel for gear processing, dressing method, and internal gear grinding method
CN114091210A (en) Generating grinding tooth surface distortion prediction model construction method considering tooth profile modification
CN112958850B (en) Continuous indexing gear grinding method for cycloidal-tooth bevel gear
US9186759B2 (en) Method of fabricating a part by forging and controlled polishing
CN112123038B (en) Double-parameter single-side forming grinding method for rear cutter face of slotting cutter
Mehr et al. Efficient hard finishing of asymmetric tooth profiles and topological modifications by generating grinding
WO2022242684A1 (en) Planar double-enveloping toroidal worm gear set and manufacturing method therefor
CN113102842B (en) Design method of honing wheel for powerful gear honing
US20220331891A1 (en) Method for producing a rotor of a screw compressor or a workpiece with a helical profile
CN206614415U (en) A kind of correction of the flank shape wheel for the finishing gear shaver that Shaving Process correction of the flank shape is used
CN112987648B (en) Method for controlling grinding error and contact characteristic of cycloidal-tooth bevel gear pair
CN1080614C (en) Precision broaching method and cutter for spiral cylindrical gear
Kalashnikov et al. Continuous grinding of teeth by generating cylindrical planetary transmission gears
RU2503524C1 (en) Method of finishing spurs
CN112108946B (en) Single-parameter cylindrical surface projection double-sided forming grinding method for rear cutter face on side of slotting cutter

Legal Events

Date Code Title Description
PB01 Publication
PB01 Publication
SE01 Entry into force of request for substantive examination
SE01 Entry into force of request for substantive examination
GR01 Patent grant
GR01 Patent grant