CN116511617A - Design method of diamond finishing gear for powerful honing - Google Patents
Design method of diamond finishing gear for powerful honing Download PDFInfo
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- CN116511617A CN116511617A CN202310628427.5A CN202310628427A CN116511617A CN 116511617 A CN116511617 A CN 116511617A CN 202310628427 A CN202310628427 A CN 202310628427A CN 116511617 A CN116511617 A CN 116511617A
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- 229910003460 diamond Inorganic materials 0.000 title claims abstract description 161
- 239000010432 diamond Substances 0.000 title claims abstract description 161
- 238000013461 design Methods 0.000 title claims abstract description 96
- 238000000034 method Methods 0.000 title claims abstract description 30
- 238000009966 trimming Methods 0.000 claims abstract description 68
- 239000002245 particle Substances 0.000 claims abstract description 41
- 239000011159 matrix material Substances 0.000 claims abstract description 35
- 230000003746 surface roughness Effects 0.000 claims abstract description 12
- 238000004519 manufacturing process Methods 0.000 claims abstract description 8
- 238000012986 modification Methods 0.000 claims description 117
- 230000004048 modification Effects 0.000 claims description 117
- 238000009434 installation Methods 0.000 claims description 20
- 238000012937 correction Methods 0.000 claims description 18
- 238000007493 shaping process Methods 0.000 claims description 18
- 238000004590 computer program Methods 0.000 claims description 11
- 239000000758 substrate Substances 0.000 claims description 8
- 101100476202 Caenorhabditis elegans mog-2 gene Proteins 0.000 claims description 4
- 238000003860 storage Methods 0.000 claims description 4
- 238000010586 diagram Methods 0.000 description 5
- 238000009713 electroplating Methods 0.000 description 3
- 238000005516 engineering process Methods 0.000 description 2
- 238000007747 plating Methods 0.000 description 2
- 238000012545 processing Methods 0.000 description 2
- 238000006467 substitution reaction Methods 0.000 description 2
- 101100059607 Caenorhabditis elegans cec-3 gene Proteins 0.000 description 1
- 230000009286 beneficial effect Effects 0.000 description 1
- 238000011161 development Methods 0.000 description 1
- 230000000694 effects Effects 0.000 description 1
- 238000010862 gear shaping Methods 0.000 description 1
- 238000003754 machining Methods 0.000 description 1
- 230000002035 prolonged effect Effects 0.000 description 1
- 238000007514 turning Methods 0.000 description 1
Classifications
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B23—MACHINE TOOLS; METAL-WORKING NOT OTHERWISE PROVIDED FOR
- B23F—MAKING GEARS OR TOOTHED RACKS
- B23F21/00—Tools specially adapted for use in machines for manufacturing gear teeth
- B23F21/03—Honing tools
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- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02T—CLIMATE CHANGE MITIGATION TECHNOLOGIES RELATED TO TRANSPORTATION
- Y02T90/00—Enabling technologies or technologies with a potential or indirect contribution to GHG emissions mitigation
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- Grinding-Machine Dressing And Accessory Apparatuses (AREA)
Abstract
The design method of the diamond trimming gear for powerful honing comprises the steps of determining design parameters of a diamond trimming gear and a matrix, granularity of diamond particles, trimming parameters of the diamond trimming gear and the matrix according to tooth parameters, tooth surface roughness, structures and mounting schemes of clamps of the gear to be machined, correspondingly manufacturing tooth shapes and tooth directions of the gear to be machined on tooth surfaces of diamond trimming roller wheels, ensuring that the designed diamond trimming gear is more accurate, being more suitable for trimming honing grinding wheels, and meeting gear parameter requirements of the gear to be machined.
Description
Technical Field
The application relates to the technical field of gear grinding processes, in particular to a design method of a diamond finishing gear for powerful honing.
Background
The powerful honing technology is a high-precision gear grinding technology, and has the advantages of excellent surface quality (indexes such as roughness, residual compressive stress, processing texture and the like) and wide application fields (can be used for grinding shaft parts with structural limitations) compared with worm grinding, forming grinding and the like. With the application of a high-speed motor of a new energy automobile electric drive system, the application prospect of gear honing of the gear is further expanded. The diamond trimming gear for honing is one of key tools for powerful honing grinding, and the gear shape and the tooth direction trimming of the gear to be machined are correspondingly manufactured on the tooth surface of a diamond trimming roller by utilizing the honing grinding error remapping principle and are used for trimming a honing grinding wheel which is used for grinding the gear to be machined to achieve the aim of honing the gear. However, the prior art is less directed to the design of diamond-finished gears for honing teeth.
Disclosure of Invention
In order to overcome at least one of the shortcomings in the prior art, the application provides a design method of a diamond finishing gear for powerful honing.
In a first aspect, a design method of a diamond finishing gear for strong honing is provided, including:
determining design parameters of the diamond finishing gear according to the tooth parameters and the structure of the gear to be processed and the installation scheme of the clamp; the design parameters of the diamond-shaped finishing gear comprise the design tooth number Z 0 Diameter d of inner hole D0 Helix angle beta 0 Diameter d of outer circle a0 Initial diameter d of the modified circle sap0 Diameter d of modified end circle eap0 Tooth thickness S of minute circle n0 And root diameter d f0 ；
Determining the granularity of diamond particles for manufacturing the diamond finishing gear according to the tooth surface roughness requirement of the gear to be processed;
determining the modification parameters of the diamond-shaped modified gear according to the modification requirements of the processed gear; the profile modifying parameters comprise tooth profile modifying parameters and tooth direction modifying parameters;
determining design parameters of a matrix according to the design parameters of the diamond finishing gear and the granularity of diamond particles;
determining the shape modification parameters of the matrix according to the shape modification parameters of the diamond-shaped trimming gear; the modification parameters of the matrix are consistent with those of the diamond-shaped modified gear.
In one embodiment, the tooth parameters and structure of the gear being machined include a normal modulus m n Number of teeth Z 1 Helix angle beta 1 Tooth thickness S of minute circle n1 Involute effective starting position, addendum circle diameter d a1 。
In one embodiment, the fixture mounting scheme includes diamond table gear mounting fixture mounting the outer diameter d of the expansion shell D1 。
In one embodiment, determining design parameters of the diamond conditioner gear according to tooth parameters and structure of the gear to be processed and a mounting scheme of a fixture comprises:
according to the number Z of teeth of the gear to be processed 1 Determining design tooth number Z of diamond finishing gear 0 The following formula is used:
Z 0 ＝Z 1
according to the outer circle diameter d of the installation expansion sleeve of the diamond trimming gear installation clamp in the installation scheme of the clamp D1 Determining the inner hole diameter d of a diamond finishing gear D0 The following formula is used:
d D0 ＝d D1
according to the helix angle beta of the gear to be processed 1 Determining helix angle beta of diamond-finished gear 0 The following formula is used:
β 0 ＝β 1
according to the diameter d of the addendum circle of the gear to be processed a1 Determining the diameter d of the outer circle of the diamond-shaped finishing gear a0 The following formula is used:
d a0 ＝(0.1～0.2)m n +d a1
wherein m is n The normal modulus of the processed gear is;
according to the effective initial circle diameter d of the gear to be processed sap1 Determination of the dressing starting circle diameter d of a diamond-finished gear sap0 The following formula is used:
wherein,,designing a residual value;
according to the diameter d of the outer circle a0 Determination of dressing termination circle diameter d for diamond-dressed gear eap0 The following formula is used:
d eap0 ＝d a0
according to the tooth thickness S of the gear to be processed n1 Determining the tooth thickness S of diamond-finished gear n0 The following formula is used:
S n0 ＝S n1
according to the diameter d of the outer circle a0 Determination of root circle diameter d of diamond-finished gear f0 ：
d f0 ＝d a0 -(2.25～2.5)m n
Wherein m is n Is the normal modulus of the gear to be processed.
In one embodiment, the tooth profile modification parameters are determined in the following manner:
determining a coordinate equation of the arc modification section of the machined gear according to the modification coordinate point of the machined gear and the drum shape quantity Ca of the arc modification section of the machined gear;
dressing starting circle diameter d of diamond-dressed gear sap0 Converting the coordinate into a coordinate in the vertical direction, substituting the coordinate in the vertical direction into a coordinate equation of an arc shaping section of the gear to be processed, and obtaining the shaping quantity x at the arc shaping termination circle of the diamond shaping gear 4 ；
According to the shaping quantity x 4 Calculating the drum shape quantity Ca 'and the pressure angle correction quantity fHa' of the arc shaping section of the diamond shaping gear;
determining a coordinate equation of a parabolic modification section of the gear to be processed according to the modification coordinate point of the gear to be processed and the slope of the arc modification section of the diamond modification gear at the modification coordinate point;
dressing end circle diameter d of diamond dressing gear eap0 Converting the coordinate into a coordinate in the vertical direction, substituting the coordinate in the vertical direction into a coordinate equation of a parabolic modification section of the gear to be processed, and obtaining the modification quantity x at the parabolic termination circle of the diamond modification gear 5 ；
According to the shaping quantity x 5 The addendum modification amount fko' of the parabolic modification section of the diamond-modified gear is calculated.
In one embodiment, the tooth modification parameters are determined in the following manner:
calculating the arc radius r of tooth-to-drum shape modification β ：
Wherein C is β1 fH for drum-shape quantity of gear teeth to be processed β1 To be processed gear helix angle correction, B 1 The effective tooth width of the processed gear is obtained;
calculating the central coordinate point (a) of the tooth-direction drum-shaped modification arc β ,b β )：
Arc radius r according to tooth-to-drum shaping β And a center coordinate point (a) β ,b β ) Determining the tooth drum shape circular equation: (x-a) β ) 2 +(y-b β ) 2 ＝r β 2 ；
According to the tooth direction drum-shaped round equation and the tooth width B of the diamond finishing gear 0 Determining two coordinate points of the width of the tooth direction drum lineWherein x' 3 ，x' 4 Respectively the abscissa of two coordinate points;
diamond dressing gear helix angle correction fH β0 The following formula is used for determination:
diamond dressingGear tooth crowning quantity C β0 The following formula is used for determination:
in one embodiment, determining the design parameters of the substrate based on the design parameters of the diamond conditioner gear and the particle size of the diamond particles comprises:
the design parameters of the matrix comprise design tooth number, inner hole diameter, helix angle, outer circle diameter, modification initial circle diameter, modification end circle diameter, minute circle tooth thickness and root circle diameter; wherein, other parameters are consistent with the design parameters of the diamond trimming gear except for the tooth thickness of the minute circle and the diameter of the outer circle;
diameter d of outer circle of substrate aj The following formula is used:
d aj ＝d a0 -2D
wherein d a0 The diameter of the outer circle of the gear is trimmed for the diamond; d is the particle size of the diamond particles of the diamond-shaped finishing gear;
base part tooth thickness S nj The following formula is used:
S nj ＝S n0 -D
wherein S is n0 The tooth thickness of the diamond trimming gear is divided into circles.
In a second aspect, there is provided a design apparatus of a diamond dresser gear for strong honing, comprising:
the diamond finishing gear design parameter determining module is used for determining the design parameters of the diamond finishing gear according to the tooth part parameters and the structure of the gear to be processed and the installation scheme of the clamp; the design parameters of the diamond-shaped finishing gear comprise the design tooth number Z 0 Diameter d of inner hole D0 Helix angle beta 0 Diameter d of outer circle a0 Initial diameter d of the modified circle sap0 Diameter d of modified end circle eap0 Tooth thickness S of minute circle n0 And root diameter d f0 ；
The diamond layer particle size determining module is used for determining the particle size of diamond particles for manufacturing the diamond finishing gear according to the tooth surface roughness requirement of the gear to be processed;
the diamond trimming gear trimming parameter determining module is used for determining the trimming parameters of the diamond trimming gear according to the trimming requirement of the gear to be processed; the profile modifying parameters comprise tooth profile modification and tooth direction modification;
the matrix design parameter determining module is used for determining the design parameters of the matrix according to the design parameters of the diamond finishing gear and the granularity of diamond particles;
the matrix modification parameter determining module is used for determining the modification parameters of the matrix according to the modification parameters of the diamond-shaped modification gear; the modification parameters of the matrix are consistent with those of the diamond-shaped modified gear.
In a third aspect, a computer readable storage medium is provided, in which a computer program is stored, which when executed by a processor, implements the design method of the diamond conditioner gear for strong honing as described above.
In a fourth aspect, a computer program product is provided, including a computer program/instruction, which when executed by a processor implements the design method of the diamond-shaped finishing gear for strong honing as described above.
Compared with the prior art, the application has the following beneficial effects: according to the design method of the diamond trimming gear for powerful honing, the design parameters of the diamond trimming gear and the matrix, the granularity of diamond particles, the diamond trimming gear and the shape trimming parameters of the matrix are determined according to the tooth part parameters and the structure of the machined gear and the installation scheme of the clamp, the tooth shape and the tooth direction trimming of the machined gear are correspondingly manufactured on the tooth surface of the diamond trimming roller, the diamond trimming gear is designed to be more accurate, the diamond trimming gear is more suitable for trimming a honing grinding wheel, and the gear parameter requirements of the machined gear are more met.
Drawings
The present application may be better understood by reference to the following description taken in conjunction with the accompanying drawings, which are incorporated in and form a part of this specification, together with the following detailed description. In the drawings:
fig. 1 shows a schematic structural view of a diamond dresser gear for strong honing;
FIG. 2 shows a flow chart of a design method of a diamond-finished gear for strong honing teeth according to an embodiment of the application;
FIG. 3 shows a schematic diagram of a tooth profile modification parameter design;
FIG. 4 shows a schematic view of a tooth form modification design;
fig. 5 shows a block diagram of a design apparatus of a diamond dresser gear for strong honing in accordance with an embodiment of the present application.
Detailed Description
Exemplary embodiments of the present application will be described hereinafter with reference to the accompanying drawings. In the interest of clarity and conciseness, not all features of an actual embodiment are described in the specification. It will of course be appreciated that in the development of any such actual embodiment, numerous implementation-specific decisions may be made to achieve the developers' specific goals, and that these decisions may vary from one implementation to another.
It should be noted that, in order to avoid obscuring the present application with unnecessary details, only the device structures closely related to the solution according to the present application are shown in the drawings, and other details not greatly related to the present application are omitted.
It is to be understood that the present application is not limited to the described embodiments due to the following description with reference to the drawings. In this context, embodiments may be combined with each other, features replaced or borrowed between different embodiments, one or more features omitted in one embodiment, where possible.
Fig. 1 shows a schematic structural view of a diamond-impregnated gear for strong honing, which includes a base and a diamond plating layer, see fig. 1, the diamond plating layer being disposed outside the base; the diamond electroplated layer is designed into a gear structure, hereinafter referred to as a diamond-finished gear, and the embodiment of the application provides a design method of the diamond-finished gear for strong honing, which is used for designing design parameters of the diamond-finished gear and a substrate and shaping parameters, fig. 2 shows a flow chart of the design method of the diamond-finished gear for strong honing according to the embodiment of the application, and referring to fig. 2, the method comprises the following steps:
step 1, determining design parameters of a diamond finishing gear according to tooth parameters and structures of a gear to be processed and an installation scheme of a clamp; the design parameters of the diamond-shaped finishing gear comprise the design tooth number Z 0 Diameter d of inner hole D0 Helix angle beta 0 Diameter d of outer circle a0 Initial diameter d of the modified circle sap0 Diameter d of modified end circle eap0 Tooth thickness S of minute circle n0 And root diameter d f0 。
In particular, the tooth parameters and structure of the gear being machined include the normal modulus m n Number of teeth Z 1 Normal partial circle pressure angle alpha n Helix angle beta 1 Tooth thickness S of minute circle n1 Effective initial position of involute (small radius of curvature ρ 1min Or effective starting circle diameter d sap1 Or the starting circle spread angle), the involute effective end position (maximum radius of curvature ρ 1max Or ending circle diameter d eap1 Or end circle spread angle), addendum circle diameter d a1 Diameter d of root circle f1 Sum of tooth width B 1 。
The installation scheme of the fixture comprises that the diamond trimming gear installation fixture is provided with the outer circle diameter d of the expansion sleeve D1 Maximum allowable mounting outer diameter d 'of diamond finishing gear' a The diamond dressing gear dresses the corrected axis angle Σ when honing the grinding wheel.
And 2, determining the granularity of diamond particles for manufacturing the diamond finishing gear according to the tooth surface roughness requirement of the gear to be processed.
Specifically, the usual particle size specifications for diamond: d91 D126, D151, D181, D252 (D represents a size, and a number represents a particle size in micrometers), the particle size of the plated diamond particles is comprehensively selected according to the surface roughness of the gear to be processed, the electroplating process, the modulus of the honing diamond dresser gear, the honing application experience, and the like. The larger the diamond particles are, the longer the service life is, but the roughness of the gear tooth surface after honing is lower. For example, the tooth surface roughness of the gear to be processed is required to be Ra0.4, and diamond particles with the D151 granularity are recommended to be used for manufacturing the diamond finishing gear. Table 1 is a table of correspondence between tooth surface roughness of a gear to be processed and diamond particle size:
table 1 table of correspondence between tooth surface roughness of gear to be processed and diamond particle size
| Diamond particles | D91 | D126 | D151 | D181 | D252 |
| Surface roughness | ≤Ra0.1 | Ra0.2 | Ra0.4 | Ra0.6 | Ra1.0 |
Step 3, determining the modification parameters of the diamond-shaped modified gear according to the modification requirements of the machined gear; the profile modifying parameters comprise tooth profile modifying parameters and tooth direction modifying parameters;
step 4, determining design parameters of a matrix according to the design parameters of the diamond finishing gear and the granularity of diamond particles;
step 5, determining the shape modification parameters of the matrix according to the shape modification parameters of the diamond-shaped trimming gear; the modification parameters of the matrix are consistent with those of the diamond-shaped modified gear.
In the above embodiment, the design parameters of the diamond trimming gear and the matrix, the granularity of the diamond particles, the shape trimming parameters of the diamond trimming gear and the matrix are determined according to the tooth parameters and the structure of the processed gear and the installation scheme of the clamp, and the tooth shape and the tooth direction trimming of the processed gear are correspondingly manufactured on the tooth surface of the diamond trimming roller, so that the designed diamond trimming gear is ensured to be more accurate and is more suitable for trimming the honing grinding wheel.
In one embodiment, determining design parameters of the diamond finishing gear according to the tooth parameters and structure of the gear to be processed and the installation scheme of the fixture in step 1 may include:
according to the number Z of teeth of the gear to be processed 1 Determining design tooth number Z of diamond finishing gear 0 The following formula is used:
Z 0 ＝Z 1 (1)
according to the outer circle diameter d of the installation expansion sleeve of the diamond trimming gear installation clamp in the installation scheme of the clamp D1 Determining the inner hole diameter d of a diamond finishing gear D0 The following formula is used:
d D0 ＝d D1 (2)
according to the helix angle beta of the gear to be processed 1 Determining helix angle beta of diamond-finished gear 0 The following formula is used:
β 0 ＝β 1 (3)
here, the helix angle β of the diamond-impregnated gear 0 The rotation direction of the gear to be processed is consistent with that of the gear to be processed, and the purpose is that the processing state of the gear to be processed is consistent with that of the diamond trimming gear.
According to the diameter d of the addendum circle of the gear to be processed a1 Determining the diameter d of the outer circle of the diamond-shaped finishing gear a0 The following formula is used:
d a0 ＝(0.1～0.2)m n +d a1 (4)
wherein m is n The normal modulus of the processed gear is;
according to the effective initial circle diameter d of the gear to be processed sap1 Determination of the dressing starting circle diameter d of a diamond-finished gear sap0 The following formula is used:
wherein,,in order to design the surplus value, the value is selected according to the design parameters of rough machining tools, such as a hob, a slotting tool, a turning gear and the like, so that the tooth root of the gear to be machined is honed without generating steps after the gear to be honed is trimmed by the diamond trimming gear.
According to the diameter d of the outer circle a0 Determination of dressing termination circle diameter d for diamond-dressed gear eap0 The following formula is used:
d eap0 ＝d a0 (6)
according to the tooth thickness S of the gear to be processed n1 Determining the tooth thickness S of diamond-finished gear n0 The following formula is used:
S n0 ＝S n1 (7)
according to the diameter d of the outer circle a0 Determination of root circle diameter d of diamond-finished gear f0 ：
d f0 ＝d a0 -(2.25～2.5)m n (8)
Wherein m is n Is the normal modulus of the gear to be processed.
In one embodiment, fig. 3 shows a schematic diagram of a tooth profile modification parameter design, see fig. 3, determined in the following manner:
firstly, determining the arc modification section of the machined gear according to the modification coordinate point of the machined gear and the drum shape quantity Ca of the arc modification section of the machined gearIs a coordinate equation of (2). Here, the 3 modified coordinate points of the gear to be processed are (x 1 ,y 1 )、(x 2 ,y 2 )、(x 3 ,y 3 ) The drum shape quantity Ca of the arc-shaped segment of the gear to be processed is known, and the coordinate equation of the arc-shaped segment of the gear to be processed is determined according to the following formula:
(x 1 -a) 2 +(y 1 -b) 2 ＝r 2 (9)
(x 2 -a) 2 +(y 2 -b) 2 ＝r 2 (10)
wherein, according to the above 3 formulas, at the coordinate point (x 1 ,y 1 ) And (x) 2 ,y 2 ) And the drum shape quantity Ca of the arc modification section of the processed gear is known, wherein the center point (a, b) and the radius r of the arc modification section can be obtained, and the coordinate equation of the arc modification section of the processed gear can be obtained.
Then, the diamond-shaped gear is trimmed to a starting circle diameter d sap0 Converted into a coordinate y in the vertical direction 4 Here, y 4 ＝d sap0 And/2 and the coordinate y in the vertical direction 4 Substituting the correction value into a coordinate equation of the arc correction section of the machined gear to obtain the correction value x of the arc correction termination circle of the diamond correction gear 4 ，Here, the arc trimming section of the diamond trimming gear is added with an extension section on the basis of the arc trimming section of the gear to be processed, so that the coordinate in the horizontal direction, namely the trimming amount x at the arc trimming termination circle of the diamond trimming gear can be obtained by substituting the coordinate in the vertical direction into the coordinate equation of the arc trimming section of the gear to be processed 4 。
Then according to the modification amount x 4 Calculating the drum shape quantity Ca' and pressure of the arc shaping section of the diamond shaping gearThe angle correction fHa' is used for designing drawing modification parameters; here, the drum volume Ca' can be calculated using the following formula:
pressure angle correction fHa' =x 2 -x 4 。
Then, according to the trimming coordinate point of the machined gear and the slope of the arc trimming section of the diamond trimming gear at the trimming coordinate point, determining a coordinate equation of the parabolic trimming section of the machined gear, and determining according to the following formula:
a'y 3 2 +b'y 3 +c'＝x 3 (13)
a'y 2 2 +b'y 2 +c'＝x 2 (14)
at a coordinate point (x 2 ,y 2 ) And (x) 3 ,y 3 ) In the known case, the arc dressing section of the diamond-dressed gear is located at the dressing coordinate point (x 2 ,y 2 ) The slope of the curve can be used for obtaining coefficients a ', b ', c ' of a parabolic equation of the parabolic modification section of the processed gear, and then a coordinate equation of the parabolic modification section of the processed gear can be determined.
Then, the diamond-shaped gear is trimmed to a final circle diameter d eap0 Converted into a coordinate y in the vertical direction 5 And will coordinate y in the vertical direction 5 Substituting the coordinate equation of the parabolic modification section of the machined gear to obtain the modification quantity x of the parabolic termination circle of the diamond-shaped modified gear 5 ，x 5 ＝a'y 5 2 +b'y 5 +c'。
Finally, according to the shape correction quantity x 5 The addendum modification amount fko 'of the parabolic modification section of the diamond-modified gear is calculated, here, fko' = |x 5 -x 2 |。
In this embodiment, the determined tooth profile modification parameters include the drum shape amount Ca ' and the pressure angle correction amount fHa ' of the circular arc modification section of the diamond-finished gear, and the tooth tip modification amount fko ' of the parabolic modification section of the diamond-finished gear.
In one embodiment, the tooth form modification of the machined gear is generally a drum form modification, the tooth form modification moves along an arc track when the tooth form modification is axially fed by an associated machine tool, and the tooth form modification is machined in the tooth width direction of the machined gear. Fig. 4 shows a schematic diagram of a tooth-wise dressing design, in which the tooth-wise dressing effective segment of the machined gear tooth extends according to the effective dressing width of the diamond-finished gear to design the tooth-wise dressing parameters of the diamond-finished gear. For the gear with the asymmetrical modification of the left and right tooth surfaces of the gear to be processed, the tooth direction modification parameters of the diamond modified gear are designed according to the design of the left and right tooth surfaces. The tooth modification parameters may be determined in the following manner:
the tooth direction modification parameters of the diamond-finished gear comprise the tooth direction drum quantity of the diamond-finished gear and the spiral angle correction quantity of the diamond-finished gear, and are determined by adopting the following formula:
known crowning of the gear teeth being machined C β1 Spiral angle correction amount fH of gear to be processed β1 Effective tooth width B of processed gear 1 And diamond-finished gear face width B 0 ；
Calculating the arc radius r of tooth-to-drum shape modification β ：
Calculating the central coordinate point (a) of the tooth-direction drum-shaped modification arc β ,b β )：
From the formulas (16), (17) and (18), the center coordinate point (a) can be obtained β ,b β ) The tooth drum shape round equation can be determined:
(x-a β ) 2 +(y-b β ) 2 ＝r β 2 (17)
known diamond-finished gear tooth width B 0 From FIG. 4, two coordinate points of the width of the toothed drum can be obtainedWherein x' 3 ，x’ 4 Respectively the abscissa of the coordinate points; the coordinate point is brought into a formula (17) to obtain x 'by means of solution' 3 ，x’ 4 Diamond-finished gear helix angle correction amount fH β0 ：
fH β0 ＝|x' 4 -x' 3 | (18)
Drum shape quantity C of diamond finishing gear tooth β0 ：
In one embodiment, the substrate is a carrier of electroplated diamond, the final size and the grinding precision of the tooth modification after electroplating need to be comprehensively considered in the design of the tooth parameter, and when the design requirement of the diamond modified gear with the complex tooth surface modification is met, the corresponding tooth surface modification and the corresponding tooth profile modification must be ground on the substrate, so that the grinding quantity of the surface diamond is uniform in the grinding of the tooth surface modification after electroplating the diamond, and the service life of the finished honing tooth diamond modified gear is prolonged. In step S4, determining design parameters of the substrate according to the design parameters of the diamond finishing gear and the particle size of the diamond particles, including:
the design parameters of the matrix comprise design tooth number, inner hole diameter, helix angle, outer circle diameter, modification initial circle diameter, modification end circle diameter, minute circle tooth thickness and root circle diameter; wherein, other parameters are consistent with the design parameters of the diamond trimming gear except for the tooth thickness of the minute circle and the diameter of the outer circle;
diameter d of outer circle of substrate aj The following formula is used:
d aj ＝d a0 -2D (20)
wherein d a0 The diameter of the outer circle of the gear is trimmed for the diamond; d is the particle size of the diamond particles of the diamond-shaped finishing gear;
base part tooth thickness S nj The following formula is used:
S nj ＝S n0 -D (21)
wherein S is n0 The tooth thickness of the diamond trimming gear is divided into circles.
Based on the same inventive concept as the design method of the diamond dresser gear for powerful honing, the present embodiment also provides a design device of the diamond dresser gear for powerful honing corresponding thereto, and fig. 5 shows a block diagram of the design device of the diamond dresser gear for powerful honing according to the embodiment of the present application, including:
the diamond finishing gear design parameter determining module 51 is used for determining the design parameters of the diamond finishing gear according to the tooth part parameters and the structure of the gear to be processed and the installation scheme of the fixture; the design parameters of the diamond-shaped finishing gear comprise the design tooth number Z 0 Diameter d of inner hole D0 Helix angle beta 0 Diameter d of outer circle a0 Initial diameter d of the modified circle sap0 Diameter d of modified end circle eap0 Tooth thickness S of minute circle n0 And root diameter d f0 ；
A diamond layer particle size determining module 52 for determining the size of diamond particles for manufacturing the diamond dresser gear according to the tooth surface roughness requirement of the gear to be processed;
a diamond-shaped gear shaping parameter determination module 53 for determining shaping parameters of the diamond-shaped gear according to shaping requirements of the gear to be processed; the profile modifying parameters comprise tooth profile modification and tooth direction modification;
a matrix design parameter determination module 54 for determining a design parameter of the matrix based on the design parameter of the diamond conditioner gear and the particle size of the diamond particles;
a matrix modification parameter determination module 55 for determining modification parameters of the matrix based on the modification parameters of the diamond-shaped finishing gear; the modification parameters of the matrix are consistent with those of the diamond-shaped modified gear.
The design device of the diamond finishing gear for powerful honing in this embodiment is consistent with the design method of the diamond finishing gear for powerful honing in the foregoing invention conception, so that the specific implementation of the device can be seen from the foregoing method embodiment part, and the technical effects thereof correspond to those of the foregoing method, and will not be repeated herein.
The embodiment of the application provides a computer readable storage medium, wherein the computer readable storage medium stores a computer program, and when the computer program is executed by a processor, the design method of the diamond trimming gear for powerful honing is realized.
The embodiment of the application provides a computer program product, which comprises a computer program/instruction, wherein the computer program/instruction realizes the design method of the diamond finishing gear for powerful honing teeth when being executed by a processor.
The foregoing is merely various embodiments of the present application, but the scope of the present application is not limited thereto, and any person skilled in the art can easily think about changes or substitutions within the technical scope of the present application, and the changes and substitutions are intended to be covered in the scope of the present application. Therefore, the protection scope of the present application shall be subject to the protection scope of the claims.
Claims (10)
1. The design method of the diamond finishing gear for the powerful honing is characterized by comprising the following steps of:
determining design parameters of the diamond finishing gear according to the tooth parameters and the structure of the gear to be processed and the installation scheme of the clamp; the design parameters of the diamond finishing gear comprise the design tooth number Z 0 Diameter d of inner hole D0 Helix angle beta 0 Diameter d of outer circle a0 Initial diameter d of the modified circle sap0 Diameter d of modified end circle eap0 Tooth thickness S of minute circle n0 And root diameter d f0 ；
Determining the granularity of diamond particles for manufacturing the diamond finishing gear according to the tooth surface roughness requirement of the processed gear;
determining the shape modification parameters of the diamond-shaped modified gear according to the shape modification requirements of the processed gear; the profile modification parameters comprise tooth profile modification parameters and tooth direction modification parameters;
determining design parameters of a matrix according to the design parameters of the diamond finishing gear and the granularity of the diamond particles;
determining the shape modification parameters of the matrix according to the shape modification parameters of the diamond-shaped trimming gear; the modification parameters of the matrix are consistent with those of the diamond-shaped finishing gear.
2. The method of claim 1, wherein the tooth parameters and configuration of the gear being machined include a normal modulus m n Number of teeth Z 1 Helix angle beta 1 Tooth thickness S of minute circle n1 Involute effective starting position, addendum circle diameter d a1 。
3. The method of claim 1, wherein the jig mounting scheme includes diamond truing gear mounting jig mounting expansion sleeve outer diameter d D1 。
4. The method of claim 1, wherein determining design parameters of the diamond conditioner gear based on tooth parameters and structure of the gear being processed, and a mounting scheme of a jig, comprises:
according to the number Z of teeth of the gear to be processed 1 Determining the design tooth number Z of the diamond finishing gear 0 The following formula is used:
Z 0 ＝Z 1
according to the diameter d of the outer circle of the installation expansion sleeve of the diamond trimming gear installation clamp in the installation scheme of the clamp D1 Determining the diamond-finished gearDiameter of inner hole d D0 The following formula is used:
d D0 ＝d D1
according to the helix angle beta of the gear to be processed 1 Determining a helix angle beta of the diamond-finished gear 0 The following formula is used:
β 0 ＝β 1
according to the diameter d of the addendum circle of the gear to be processed a1 Determining the outer circle diameter d of the diamond finishing gear a0 The following formula is used:
d a0 ＝(0.1～0.2)m n +d a1
wherein m is n The normal modulus of the processed gear is;
according to the effective initial circle diameter d of the gear to be processed sap1 Determining a dressing starting circle diameter d of the diamond-finished gear sap0 The following formula is used:
wherein,,designing a residual value;
according to the diameter d of the outer circle a0 Determining a dressing termination circle diameter d of the diamond-dressed gear eap0 The following formula is used:
d eap0 ＝d a0
according to the tooth thickness S of the gear to be processed n1 Determining the tooth thickness S of the diamond finishing gear n0 The following formula is used:
S n0 ＝S n1
according to the diameter d of the outer circle a0 Determining the root diameter d of the diamond-finished gear f0 ：
d f0 ＝d a0 -(2.25～2.5)m n
Wherein m is n Is the normal modulus of the gear to be processed.
5. The method of claim 1, wherein the tooth profile modification parameters are determined by:
determining a coordinate equation of the arc modification section of the machined gear according to the modification coordinate point of the machined gear and the drum shape quantity Ca of the arc modification section of the machined gear;
the diamond trimming gear is trimmed to a starting circle diameter d sap0 Converting the coordinate into a coordinate in the vertical direction, substituting the coordinate in the vertical direction into a coordinate equation of the arc shaping section of the gear to be processed, and obtaining the shaping quantity x at the arc shaping termination circle of the diamond shaping gear 4 ；
According to the shape modifying quantity x 4 Calculating a drum shape quantity Ca 'and a pressure angle correction quantity fHa' of the arc-shaped segment of the diamond-shaped finishing gear;
determining a coordinate equation of a parabolic modification section of the gear to be processed according to the modification coordinate point of the gear to be processed and the slope of the arc modification section of the diamond modification gear at the modification coordinate point;
the diamond trimming gear is trimmed to a final circle diameter d eap0 Converting the coordinate into a coordinate in the vertical direction, substituting the coordinate in the vertical direction into a coordinate equation of a parabolic modification section of the machined gear, and obtaining the modification quantity x of the parabolic termination circle of the diamond modification gear 5 ；
According to the shape modifying quantity x 5 The addendum modification amount fko' of the parabolic modification section of the diamond-shaped dresser gear is calculated.
6. The method of claim 1, wherein the tooth modification parameters are determined by:
calculating the arc radius r of tooth-to-drum shape modification β ：
Wherein, Cβ1 is the drum-shaped quantity of the gear teeth to be processed, fH2β1 is the helical angle correction quantity of the gear to be processed, and B1 is the effective tooth width of the gear to be processed;
calculating the central coordinate point (a) of the tooth-direction drum-shaped modification arc β ,b β )：
Arc radius r according to the tooth-to-drum modification β And the center coordinate point (a β ,b β ) Determining the tooth drum shape circular equation: (x-a) β ) 2 +(y-b β ) 2 ＝r β 2 ；
According to the tooth direction drum-shaped round equation and the tooth width B of the diamond finishing gear 0 Determining two coordinate points of the width of the tooth direction drum lineWherein x' 3 ，x' 4 Respectively the abscissa of the two coordinate points;
diamond dressing gear helix angle correction fH β0 The following formula is used for determination:
fH β0 ＝|x' 4 -x' 3 |
drum shape quantity C of diamond finishing gear tooth β0 The following formula is used for determination:
7. the method of claim 1, wherein determining the design parameters of the substrate based on the design parameters of the diamond conditioner gear and the particle size of the diamond particles comprises:
the design parameters of the matrix comprise design tooth number, inner hole diameter, helix angle, outer circle diameter, modification initial circle diameter, modification end circle diameter, minute circle tooth thickness and root circle diameter; wherein, other parameters besides the tooth thickness of the minute circle and the diameter of the outer circle are consistent with the design parameters of the diamond finishing gear;
the diameter d of the outer circle of the matrix aj The following formula is used:
d aj ＝d a0 -2D
wherein d a0 Dressing the diameter of the outer circle of the gear for the diamond; d is the granularity of diamond particles of the diamond finishing gear;
the thickness S of the divided circular teeth of the matrix nj The following formula is used:
S nj ＝S n0 -D
wherein S is n0 And finishing the tooth thickness of the diamond trimming gear.
8. The design device of the diamond finishing gear for the powerful honing teeth is characterized by comprising the following components:
the diamond trimming gear design parameter determining module is used for determining the design parameters of the diamond trimming gear according to the tooth part parameters and the structure of the gear to be processed and the installation scheme of the clamp; the design parameters of the diamond finishing gear comprise the design tooth number Z 0 Diameter d of inner hole D0 Helix angle beta 0 Diameter d of outer circle a0 Initial diameter d of the modified circle sap0 Diameter d of modified end circle eap0 Tooth thickness S of minute circle n0 And root diameter d f0 ；
A diamond layer particle size determining module for determining the particle size of diamond particles for manufacturing the diamond finishing gear according to the tooth surface roughness requirement of the gear to be processed;
the diamond trimming gear trimming parameter determining module is used for determining trimming parameters of the diamond trimming gear according to the trimming requirement of the gear to be processed; the modification parameters comprise tooth shape modification and tooth direction modification;
the matrix design parameter determining module is used for determining the design parameters of the matrix according to the design parameters of the diamond finishing gear and the granularity of the diamond particles;
the matrix modification parameter determining module is used for determining the modification parameters of the matrix according to the modification parameters of the diamond-shaped modification gear; the modification parameters of the matrix are consistent with those of the diamond-shaped finishing gear.
9. A computer-readable storage medium storing a computer program which, when executed by a processor, realizes the design method of the diamond conditioner gear for strong honing according to any one of claims 1 to 7.
10. A computer program product comprising computer programs/instructions which, when executed by a processor, implement the method of designing a diamond conditioner gear for hard honing as claimed in any one of claims 1 to 7.
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Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN118721050A (en) * | 2024-09-04 | 2024-10-01 | 陕西法士特齿轮有限责任公司 | Design method of a dressing-free CBN profile grinding wheel for grinding external helical gears |
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Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN118721050A (en) * | 2024-09-04 | 2024-10-01 | 陕西法士特齿轮有限责任公司 | Design method of a dressing-free CBN profile grinding wheel for grinding external helical gears |
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