CN115388839B - Cycloidal tooth bevel gear tooth surface thermal deformation correction method, system, equipment and storage medium - Google Patents
Cycloidal tooth bevel gear tooth surface thermal deformation correction method, system, equipment and storage medium Download PDFInfo
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- 238000005096 rolling process Methods 0.000 claims abstract description 49
- 238000005520 cutting process Methods 0.000 claims abstract description 47
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- KDLRVYVGXIQJDK-AWPVFWJPSA-N clindamycin Chemical compound CN1C[C@H](CCC)C[C@H]1C(=O)N[C@H]([C@H](C)Cl)[C@@H]1[C@H](O)[C@H](O)[C@@H](O)[C@@H](SC)O1 KDLRVYVGXIQJDK-AWPVFWJPSA-N 0.000 description 3
- 229960002227 clindamycin Drugs 0.000 description 3
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- 238000010438 heat treatment Methods 0.000 description 1
- 238000004519 manufacturing process Methods 0.000 description 1
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- 238000002715 modification method Methods 0.000 description 1
- 238000011328 necessary treatment Methods 0.000 description 1
- AHLBNYSZXLDEJQ-FWEHEUNISA-N orlistat Chemical compound CCCCCCCCCCC[C@H](OC(=O)[C@H](CC(C)C)NC=O)C[C@@H]1OC(=O)[C@H]1CCCCCC AHLBNYSZXLDEJQ-FWEHEUNISA-N 0.000 description 1
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01B—MEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
- G01B21/00—Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
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- F16H—GEARING
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Abstract
A method, system, apparatus and storage medium for correcting thermal deformation of tooth surfaces of cycloidal-tooth bevel gears. Acquiring a contact spot characteristic parameter according to a tooth surface contact result of the gear pair, and determining a theoretical parameter of a contact spot in a tooth surface rotation projection plane; extracting a rolling detection joint mark of a first trial cut gear pair, and carrying out contact spot mapping treatment; performing first-time tooth surface inverse adjustment correction based on errors between the contact spot mapping and the contact spot theoretical parameters of the first-time trial cut gear pair rolling detection; determining a tooth surface contact spot center adjustment coefficient based on the rolling detection result of the gear pair subjected to the previous two trial cutting; performing the inverse adjustment correction of the second tooth surface so as to determine an inverse adjustment correction function of the contact spot center of the third tooth surface; and judging whether the print result of the third trial cutting gear pair rolling detection is matched with the theoretical parameters of the contact spots, if so, ending the tooth surface anti-roll correction, and if not, repeating the step S5.
Description
Technical Field
The invention relates to the technical field of tooth surfaces of tooth bevel gears, in particular to a cycloidal tooth bevel gear tooth surface thermal deformation correction method, a cycloidal tooth bevel gear tooth surface thermal deformation correction system, cycloidal tooth bevel gear tooth surface thermal deformation correction equipment and a cycloidal tooth bevel gear tooth surface thermal deformation storage medium.
Background
Cycloidal bevel gears are manufactured by continuous indexing of flat forming wheels (Face-hobbing), and can be classified into cyclic-palloid manufactured by clindamycin of germany and orlistat manufactured by the switzerland company, which include half-developed Spirac method and full-developed Spiroflex method, according to the processing method and machine tool.
The cycloidal tooth bevel gear can be theoretically processed into a completely conjugated gear pair, but in order to realize the local contact of practical requirements, the clindamycin root lattice adopts a split cutter disc with extremely complex mechanical structure, and the Orikang adopts a cutter inclination method with complex calculation. At present, the clindamycin root lattice combines a split cutter disc with an arc cutting edge, the arc cutting edge is used for carrying out tooth height direction shape correction, and the drum shape in the tooth length direction is realized by changing the axis eccentricity of an inner cutter disc and an outer cutter disc.
In more than ten years, the invention of the six-axis linkage numerical control bevel gear machine tool is realized by both Glisen and gram Lin Beige, a machine tool rocking disc is eliminated, a cycloidal tooth bevel gear is processed by adopting a hard alloy sharp rack integral cutterhead tilting method, and the machine tool can be cut at a high speed. The two companies are equipped with special design software, and a closed-loop processing and manufacturing system integrating gear design, processing, measurement and simple test is formed.
The deformation of cycloidal bevel gears in heat treatment can reach tens of micrometers, and the deformation is larger as the deformation is closer to the edge of the gear teeth, and the deformation has great influence on tooth surface contact performance and bearing capacity although the deformation is not great in value, and the necessary treatment is needed in the occasions with transmission precision requirements and high bearing capacity. Because the tooth surface of the cycloidal tooth bevel gear cannot be subjected to thermal post-grinding, only thermal post-grinding can be performed, but the grinding can not eliminate the thermal deformation of the tooth surface, and the ideal effect can not be achieved although the thermal treatment process is strictly controlled to reduce the deformation of the tooth surface, the development of the thermal deformation correction technology of the tooth surface of the cycloidal tooth bevel gear has important engineering practical significance.
In the prior art, patent document CN105522227a discloses a "contour modification method for processing a cutter tooth main cutting edge of a cycloid bevel gear", which is based on a gear tooth surface processing principle, uses a gear meshing principle to modify the surface contour of the cutter tooth main cutting edge for processing a tooth surface, and obtains a tooth surface equation according to a space coordinate system change. Analyzing the meshing trace and the transmission error of the gear teeth processed by the new method by using a TCA analysis method, and comparing the meshing trace and the transmission error with gears processed by the traditional method to obtain the gears constructed in the process of greatly reducing the transmission error and obtaining better contact trace; and carrying out loading experiments on the constructed gear by using an experimental verification analysis method and analyzing the contact area position of the gear to obtain the gear constructed in the process of the invention, so that the phenomenon of stress concentration can be avoided. The phenomenon of stress concentration during gear meshing is fundamentally avoided, and transmission errors are reduced, so that the noise of the gears is reduced, and the transmission stability is improved. Patent document CN109187009a discloses a "calculation method of thermal deformation amount of herringbone gear tooth surface", which is to obtain calculation data of herringbone gear, determine temperature values of herringbone gear left and right tooth surface points along the tooth meshing line direction, determine temperature values of herringbone gear left and right tooth surface points, calculate coordinate values of herringbone gear left and right tooth surface points before and after thermal deformation, and calculate thermal deformation amount of herringbone gear tooth surface. The invention can rapidly and simply calculate the thermal deformation of the herringbone gear tooth surface, and has simple calculation method and easy grasp of engineering technicians.
In summary, the prior art lacks a method for correcting the thermal deformation of the tooth surface of a cycloidal-tooth bevel gear.
Disclosure of Invention
The invention solves the problem that the prior art lacks a tooth surface thermal deformation correction method of a cycloidal tooth bevel gear.
The invention relates to a method for correcting thermal deformation of a tooth surface of a cycloidal tooth bevel gear, which comprises the following steps:
step S1, acquiring a contact spot characteristic parameter according to a gear pair tooth surface contact result, and determining a theoretical parameter of a contact spot in a tooth surface rotation projection plane;
S2, extracting a rolling detection joint print of a first trial cut gear pair, and performing contact spot mapping treatment;
Step S3, performing first tooth surface inverse adjustment correction based on errors between the contact spot mapping and the contact spot theoretical parameters of the first trial cut gear pair rolling detection;
s4, performing trial cutting on the gear pair rolling detection for the second time according to the first-time tooth surface anti-adjustment correction result in the step S3, and determining a tooth surface contact spot center adjustment coefficient based on the gear pair rolling detection result of the previous two trial cutting processes;
step S5, performing a second-time tooth surface inverse adjustment correction based on the tooth surface contact spot center adjustment coefficient determined in the step S4, so as to determine an inverse adjustment correction function of the third-time tooth surface contact spot center;
And S6, after the third gear pair rolling inspection is performed with the inverse adjustment correction function of the contact spot center of the third tooth surface determined in the step S5, judging whether the impression result of the third trial cutting gear pair rolling inspection is matched with the theoretical parameters of the contact spot in the step S1, if so, ending the tooth surface inverse adjustment correction, and if not, repeating the step S5.
Further, in one embodiment of the present invention, in the step S2, the performing the contact spot mapping process is:
where a is the width of the contact spot, c is the distance from the center of the contact spot to the large wheel, and β m is the midpoint helix angle of the large wheel in the gear pair.
Further, in one embodiment of the present invention, in the step S3, the first tooth surface anti-pitch correction is:
c 1＝c+(c-c1)/2, wherein c 1 is the distance from the center of the actual impression to the large end on the rotary projection surface, and c is the distance from the center of the contact spot to the large end of the gear tooth;
g 1＝g+(g-g1)/2, where g 1 is the actual imprint center-to-tip distance on the rotation projection surface, and g is the contact spot center-to-tip distance.
Further, in one embodiment of the present invention, in the step S4, the determined tooth surface contact patch center adjustment coefficient is:
Wherein c 1 is the actual print center to large end distance on the rotary projection surface, c is the contact spot center to large end distance on the gear teeth, g 1 is the actual print center to tooth tip distance on the rotary projection surface, g is the contact spot center to tooth tip distance, c 2、g2 is the actual print center to large end and the distance to tooth tip on the rotary projection surface of the second trial cutting gear pair, k c is the contact spot center to large end distance adjustment coefficient determined based on the previous two trial cutting roll detection results, and k g is the contact spot center to tooth tip distance adjustment coefficient determined based on the previous two trial cutting roll detection results.
Further, in one embodiment of the present invention, in the step S5, the inverse adjustment correction function of the third tooth surface contact spot center is:
c is the distance from the center of the contact spot to the large end of the gear tooth, g is the distance from the center of the contact spot to the tooth tip, c 2、g2 is the distance from the center of the actual imprint of the second trial cut gear pair to the large end and the tooth tip on the rotary projection surface, k c is the distance adjustment coefficient from the center of the contact spot to the large end of the gear tooth determined based on the previous two trial cut rolling detection results, k g is the distance adjustment coefficient from the center of the contact spot to the tooth tip determined based on the previous two trial cut rolling detection results, and c n、gn is the distance from the center of the tooth surface contact spot to the large end and the tooth tip of the nth trial cut gear pair on the rotary projection surface obtained based on the correction function.
The invention relates to a cycloidal tooth bevel gear tooth surface thermal deformation correction system, which comprises the following modules:
The theoretical module is used for acquiring characteristic parameters of the contact spots according to the tooth surface contact result of the gear pair and determining theoretical parameters of the contact spots in a tooth surface rotation projection plane;
the mapping module extracts the rolling detection contact marks of the first trial cut gear pair and performs contact spot mapping treatment;
The correction module is used for carrying out first-time tooth surface inverse adjustment correction based on errors between the contact spot mapping and the contact spot theoretical parameters of the first-time trial cutting gear pair rolling detection;
The adjusting module is used for performing trial cutting on the second gear pair rolling detection by using the first tooth surface inverse adjustment correction result of the correcting module, and determining a tooth surface contact spot center adjusting coefficient based on the previous two trial cutting gear pair rolling detection results;
The inverse adjustment module is used for carrying out inverse adjustment correction on the tooth surface based on the tooth surface contact spot center adjustment coefficient determined by the adjustment module so as to determine an inverse adjustment correction function of the third tooth surface contact spot center;
And the matching module is used for judging whether the impression result of the third trial cutting gear pair rolling detection is matched with the theoretical parameter of the contact spot of the theoretical module after the trial cutting is carried out by the inverse adjustment module to determine the inverse adjustment correction function of the contact spot center of the third tooth surface, if so, ending the tooth surface inverse adjustment correction, and if not, repeating the inverse adjustment module.
The invention relates to an electronic device, which comprises a processor, a communication interface, a memory and a communication bus, wherein the processor, the communication interface and the memory are communicated with each other through the communication bus;
A memory for storing a computer program;
and the processor is used for realizing any one of the method steps when executing the program stored in the memory.
A computer-readable storage medium according to the present invention stores a computer program which, when executed by a processor, implements one of the above-described method steps.
The vehicle of the present invention includes: a memory, a processor and a computer program stored on the memory and executable on the processor, the processor executing the program to implement a cycloidal-tooth bevel gear tooth face thermal deformation correction method as described in any one of the above methods.
The invention solves the problem that the prior art lacks a tooth surface thermal deformation correction method of a cycloidal tooth bevel gear. The method has the specific beneficial effects that:
1. The thermal deformation compensation method for the tooth surface of the cycloidal-tooth bevel gear utilizes the center position of the contact mark to realize thermal deformation compensation, is simple and convenient, takes effect quickly, does not increase the investment of hardware and software for gear development, has low engineering implementation difficulty, and is favorable for the popularization of the prior art.
2. The method for correcting the thermal deformation of the tooth surface of the cycloidal-tooth bevel gear is also suitable for correcting the thermal deformation error of other gears which cannot be used for grinding teeth.
Drawings
The foregoing and/or additional aspects and advantages of the invention will become apparent and readily appreciated from the following description of the embodiments, taken in conjunction with the accompanying drawings, in which:
fig. 1 is a schematic view of tooth surface contact patch characteristic parameters according to an embodiment.
Fig. 2 is a graph of the relationship between the tooth surface spread distance and the rotation projection distance of an actual tooth surface rubbing graph according to an embodiment.
Detailed Description
Various embodiments of the present invention will now be described more fully hereinafter with reference to the accompanying drawings. The embodiments described by referring to the drawings are exemplary and intended to be illustrative of the invention and are not to be construed as limiting the invention.
The method for correcting the thermal deformation of the tooth surface of the cycloidal-tooth bevel gear according to the embodiment comprises the following steps:
step S1, acquiring a contact spot characteristic parameter according to a gear pair tooth surface contact result, and determining a theoretical parameter of a contact spot in a tooth surface rotation projection plane;
S2, extracting a rolling detection joint print of a first trial cut gear pair, and performing contact spot mapping treatment;
Step S3, performing first tooth surface inverse adjustment correction based on errors between the contact spot mapping and the contact spot theoretical parameters of the first trial cut gear pair rolling detection;
s4, performing trial cutting on the gear pair rolling detection for the second time according to the first-time tooth surface anti-adjustment correction result in the step S3, and determining a tooth surface contact spot center adjustment coefficient based on the gear pair rolling detection result of the previous two trial cutting processes;
step S5, performing a second-time tooth surface inverse adjustment correction based on the tooth surface contact spot center adjustment coefficient determined in the step S4, so as to determine an inverse adjustment correction function of the third-time tooth surface contact spot center;
And S6, after the third gear pair rolling inspection is performed with the inverse adjustment correction function of the contact spot center of the third tooth surface determined in the step S5, judging whether the impression result of the third trial cutting gear pair rolling inspection is matched with the theoretical parameters of the contact spot in the step S1, if so, ending the tooth surface inverse adjustment correction, and if not, repeating the step S5.
In this embodiment, in the step S2, the contact spot mapping process is performed as follows:
where a is the width of the contact spot, c is the distance from the center of the contact spot to the large wheel, and β m is the midpoint helix angle of the large wheel in the gear pair.
In this embodiment, in the step S3, the first tooth surface anti-pitch correction is:
c 1＝c+(c-c1)/2, wherein c 1 is the distance from the center of the actual impression to the large end on the rotary projection surface, and c is the distance from the center of the contact spot to the large end of the gear tooth;
g 1＝g+(g-g1)/2, where g 1 is the actual imprint center-to-tip distance on the rotation projection surface, and g is the contact spot center-to-tip distance.
In this embodiment, in the step S4, the determined tooth surface contact spot center adjustment coefficient is:
Wherein c 1 is the actual print center to large end distance on the rotary projection surface, c is the contact spot center to large end distance on the gear teeth, g 1 is the actual print center to tooth tip distance on the rotary projection surface, g is the contact spot center to tooth tip distance, c 2、g2 is the actual print center to large end and the distance to tooth tip on the rotary projection surface of the second trial cutting gear pair, k c is the contact spot center to large end distance adjustment coefficient determined based on the previous two trial cutting roll detection results, and k g is the contact spot center to tooth tip distance adjustment coefficient determined based on the previous two trial cutting roll detection results.
In this embodiment, in the step S5, the inverse adjustment correction function of the third tooth surface contact spot center is:
c is the distance from the center of the contact spot to the large end of the gear tooth, g is the distance from the center of the contact spot to the tooth tip, c 2、g2 is the distance from the center of the actual imprint of the second trial cut gear pair to the large end and the tooth tip on the rotary projection surface, k c is the distance adjustment coefficient from the center of the contact spot to the large end of the gear tooth determined based on the previous two trial cut rolling detection results, k g is the distance adjustment coefficient from the center of the contact spot to the tooth tip determined based on the previous two trial cut rolling detection results, and c n、gn is the distance from the center of the tooth surface contact spot to the large end and the tooth tip of the nth trial cut gear pair on the rotary projection surface obtained based on the correction function.
The system for correcting the thermal deformation of the tooth surface of the cycloidal-tooth bevel gear according to the embodiment comprises the following modules:
The theoretical module is used for acquiring characteristic parameters of the contact spots according to the tooth surface contact result of the gear pair and determining theoretical parameters of the contact spots in a tooth surface rotation projection plane;
the mapping module extracts the rolling detection contact marks of the first trial cut gear pair and performs contact spot mapping treatment;
The correction module is used for carrying out first-time tooth surface inverse adjustment correction based on errors between the contact spot mapping and the contact spot theoretical parameters of the first-time trial cutting gear pair rolling detection;
The adjusting module is used for performing trial cutting on the second gear pair rolling detection by using the first tooth surface inverse adjustment correction result of the correcting module, and determining a tooth surface contact spot center adjusting coefficient based on the previous two trial cutting gear pair rolling detection results;
The inverse adjustment module is used for carrying out inverse adjustment correction on the tooth surface based on the tooth surface contact spot center adjustment coefficient determined by the adjustment module so as to determine an inverse adjustment correction function of the third tooth surface contact spot center;
And the matching module is used for judging whether the impression result of the third trial cutting gear pair rolling detection is matched with the theoretical parameter of the contact spot of the theoretical module after the trial cutting is carried out by the inverse adjustment module to determine the inverse adjustment correction function of the contact spot center of the third tooth surface, if so, ending the tooth surface inverse adjustment correction, and if not, repeating the inverse adjustment module.
The electronic device of the embodiment comprises a processor, a communication interface, a memory and a communication bus, wherein the processor and the communication interface, the memory are communicated with each other through the communication bus;
A memory for storing a computer program;
and the processor is used for realizing any one of the method steps when executing the program stored in the memory.
A computer readable storage medium according to this embodiment stores a computer program which, when executed by a processor, implements any of the method steps described above.
The vehicle according to the present embodiment includes: a memory, a processor and a computer program stored on the memory and executable on the processor, the processor executing the program to implement a cycloidal-tooth bevel gear tooth face thermal deformation correction method as described in any one of the above methods.
The present embodiment provides a practical embodiment based on the cycloidal tooth bevel gear tooth surface thermal deformation correction method of the present invention:
(1) Obtaining contact spot characteristic parameters according to the tooth surface contact analysis result of the gear pair, as shown in fig. 1, and determining parameters of theoretical contact spots in a tooth surface rotation projection plane, wherein the parameters comprise a contact spot width a (along the tooth width direction) and a contact spot height d (along the tooth height direction), a distance g from the center of the contact spots to the tooth tops and a distance c from the center of the contact spots to the large ends of the teeth;
(2) Extracting a rolling detection contact mark of a first trial cut gear pair, and carrying out contact spot mapping treatment: the rolling detection contact mark of the gear pair is the mark in the actual tooth surface topological graph, namely the tooth surface unfolding graph, the contact spot width a and the distance c from the center of the contact spot to the large wheel are different from a T、cT of tooth surface contact analysis (rotary projection graph), and the mapping relation can be approximately expressed as follows as shown in fig. 2: beta m is the middle point helix angle of the large wheel in the gear pair;
(3) Performing first tooth surface inverse adjustment correction based on the first rolling detection contact area mapping and the theoretical contact spot error: and (3) calculating a relative parameter of the center position of the first inverse adjustment impression when the distance from the center of the actual impression to the large end on the rotary projection surface is c 1 and the distance from the center of the actual impression to the tooth tip is g 1: c 1＝c+(c-c1)/2,g1＝g+(g-g1)/2, namely calculating machining adjustment parameters by taking c 1 and g 1 as design targets for the second trial cutting;
(4) Determining a tooth surface contact spot center adjustment coefficient based on the results of the previous two trial cutting roll tests:
Wherein c 2、g2 is the distance from the center of the actual imprint of the second trial cutting gear pair on the rotary projection surface to the large end and the tooth top respectively;
(5) Determining a reverse tone correction function of the tooth surface contact patch center after the second time:
(6) Iterative back-tuning, namely, calculating the machining adjustment parameters of the gear pair by taking c n and g n as the tooth surface contact center parameters of the Nth back-tuning until the actual contact mark is matched with the theoretical parameters in the step 1.
The present embodiment provides a practical embodiment based on the cycloidal tooth bevel gear tooth surface thermal deformation correction method of the present invention:
The method is used for carrying out reverse adjustment correction on the thermal post-deformation of the cycloidal bevel gear with offset. Gear pair parameters: the gear counter shaft has an intersection angle of 90 degrees, an offset distance of 25mm, a tooth ratio of 8/39, an average pressure angle of 22.5 degrees, a large gear midpoint helix angle of 34.5 degrees and a tooth width of 40mm. The radius of the cutter disc is 106.5mm, and the number of cutter tooth groups is 5. The specific implementation is as follows:
(1) Assuming theoretical basis speckle parameters: a=20 mm, c=20 mm, d=5 mm, g=5 mm;
(2) Assume the gear contact patch parameters of the first trial cut: sal 1＝18mm,sc1＝15mm,se1＝1.8mm,sd1 =4 mm, then c 1＝15×cos(34.5°)＝12.362mm,g1 =1.8+4/2=3.8 mm;
(3) Performing first tooth surface inverse adjustment correction based on the first rolling detection contact area mapping and the theoretical contact spot error:
c1＝c+(c-c1)/2＝20+(20-12.362)/2＝23.819mm
g1＝g+(g-g1)/2＝5+(5-3.8)/2＝5.6mm
Then, the second trial cut calculates the tooling adjustments with c 1 = 23.819mm and g 1 =5.6mm as contact patch center parameters;
(4) Determining a tooth surface contact spot center adjustment coefficient based on the results of the previous two trial cutting roll tests:
Setting the gear contact mark parameters of the second trial cutting: sal 2＝19mm,sc2＝23mm,se2＝5.5mm,sd2 =5 mm, then there are:
c 2＝23×cos(34.5°)＝18.955mm,g2 = 2.5+5/2 = 5mm, then:
(5) Determining a reverse tone correction function of the tooth surface contact patch center of the second reverse tone (third trial cut):
c2＝c+kc(c2-c)＝20-0.579×(18.955-20)＝20.605mm
g2＝g+kg(g2-g)＝5-0.5×(5-5)＝5mm；
(6) Tooth flank contact mark results after the third test cut: sal 2＝19.5mm,sc2＝24mm,se2＝2.5mm,sd2 =5.2 mm, then c 2＝24×cos(34.5°)＝19.779mm,g2 =2.5+5.2/2=5.1 mm, which results in close proximity to the theoretical value c=20mm, g=5mm, ending the reverse modulation; if not, continuing to repeat the step (5) for the next reverse modulation.
The above-mentioned method, system, equipment and storage medium for correcting the thermal deformation of tooth surfaces of cycloidal-tooth bevel gears are presented in detail, and specific examples are applied to illustrate the principles and embodiments of the present invention, and the above examples are only used to help understand the method and core ideas of the present invention; meanwhile, as those skilled in the art will have variations in the specific embodiments and application scope in accordance with the ideas of the present invention, the present description should not be construed as limiting the present invention in view of the above.
Claims (7)
1. The method for correcting the thermal deformation of the tooth surface of the cycloidal-tooth bevel gear is characterized by comprising the following steps of:
step S1, acquiring a contact spot characteristic parameter according to a gear pair tooth surface contact result, and determining a theoretical parameter of a contact spot in a tooth surface rotation projection plane;
S2, extracting a rolling detection joint print of a first trial cut gear pair, and performing contact spot mapping treatment;
Step S3, performing first tooth surface inverse adjustment correction based on errors between the contact spot mapping and the contact spot theoretical parameters of the first trial cut gear pair rolling detection;
s4, performing trial cutting on the gear pair rolling detection for the second time according to the first-time tooth surface anti-adjustment correction result in the step S3, and determining a tooth surface contact spot center adjustment coefficient based on the gear pair rolling detection result of the previous two trial cutting processes;
step S5, performing a second-time tooth surface inverse adjustment correction based on the tooth surface contact spot center adjustment coefficient determined in the step S4, so as to determine an inverse adjustment correction function of the third-time tooth surface contact spot center;
Step S6, after the third gear pair rolling inspection is performed with the inverse adjustment correction function of the contact spot center of the third tooth surface determined in the step S5, judging whether the impression result of the third trial cutting gear pair rolling inspection is matched with the theoretical parameters of the contact spot in the step S1, if so, ending the tooth surface inverse adjustment correction, and if not, repeating the step S5;
In the step S4, the determined tooth surface contact spot center adjustment coefficient is:
Wherein c 1 is the distance from the center of the actual impression to the large end on the rotary projection surface, c is the distance from the center of the contact spot to the large end of the gear tooth, g 1 is the distance from the center of the actual impression to the tooth tip on the rotary projection surface, g is the distance from the center of the contact spot to the tooth tip, c 2、g2 is the distance from the center of the actual impression to the large end and the distance from the tooth tip on the rotary projection surface of the second trial cutting gear pair, k c is the distance adjustment coefficient from the center of the contact spot to the large end of the gear tooth determined based on the results of the previous two trial cutting rolls, and k g is the distance adjustment coefficient from the center of the contact spot to the tooth tip determined based on the results of the previous two trial cutting rolls;
in the step S5, the inverse adjustment correction function of the third tooth surface contact spot center is:
c is the distance from the center of the contact spot to the large end of the gear tooth, g is the distance from the center of the contact spot to the tooth tip, c 2、g2 is the distance from the center of the actual imprint of the second trial cut gear pair to the large end and the tooth tip on the rotary projection surface, k c is the distance adjustment coefficient from the center of the contact spot to the large end of the gear tooth determined based on the previous two trial cut rolling detection results, k g is the distance adjustment coefficient from the center of the contact spot to the tooth tip determined based on the previous two trial cut rolling detection results, and c n、gn is the distance from the center of the tooth surface contact spot to the large end and the tooth tip of the nth trial cut gear pair on the rotary projection surface obtained based on the correction function.
2. The method for correcting thermal deformation of tooth surfaces of cycloidal-tooth bevel gears according to claim 1, wherein in the step S2, the contact spot mapping process is performed as follows:
where a is the width of the contact spot, c is the distance from the center of the contact spot to the large wheel, and β m is the midpoint helix angle of the large wheel in the gear pair.
3. The method for correcting thermal deformation of tooth surface of cycloidal-tooth bevel gear according to claim 1, wherein in step S3, the first tooth surface inverse adjustment correction is:
c 1＝c+(c-c1)/2, wherein c 1 is the distance from the center of the actual impression to the large end on the rotary projection surface, and c is the distance from the center of the contact spot to the large end of the gear tooth;
g 1＝g+(g-g1)/2, where g 1 is the actual imprint center-to-tip distance on the rotation projection surface, and g is the contact spot center-to-tip distance.
4. A cycloidal tooth bevel gear tooth face thermal deformation correction system, comprising the following modules:
The theoretical module is used for acquiring characteristic parameters of the contact spots according to the tooth surface contact result of the gear pair and determining theoretical parameters of the contact spots in a tooth surface rotation projection plane;
the mapping module extracts the rolling detection contact marks of the first trial cut gear pair and performs contact spot mapping treatment;
The correction module is used for carrying out first-time tooth surface inverse adjustment correction based on errors between the contact spot mapping and the contact spot theoretical parameters of the first-time trial cutting gear pair rolling detection;
The adjusting module is used for performing trial cutting on the second gear pair rolling detection by using the first tooth surface inverse adjustment correction result of the correcting module, and determining a tooth surface contact spot center adjusting coefficient based on the previous two trial cutting gear pair rolling detection results;
The inverse adjustment module is used for carrying out inverse adjustment correction on the tooth surface based on the tooth surface contact spot center adjustment coefficient determined by the adjustment module so as to determine an inverse adjustment correction function of the third tooth surface contact spot center;
The matching module is used for judging whether an impression result of the third trial cutting gear pair rolling detection is matched with a theoretical parameter of a contact spot of the theoretical module after the trial cutting is carried out by the inverse adjustment module to determine an inverse adjustment correction function of the contact spot center of the third tooth surface, if so, ending the tooth surface inverse adjustment correction, and if not, repeating the inverse adjustment module;
In the adjustment module, the adjustment coefficient of the center of the contact spot of the determined tooth surface is as follows:
Wherein c 1 is the distance from the center of the actual impression to the large end on the rotary projection surface, c is the distance from the center of the contact spot to the large end of the gear tooth, g 1 is the distance from the center of the actual impression to the tooth tip on the rotary projection surface, g is the distance from the center of the contact spot to the tooth tip, c 2、g2 is the distance from the center of the actual impression to the large end and the distance from the tooth tip on the rotary projection surface of the second trial cutting gear pair, k c is the distance adjustment coefficient from the center of the contact spot to the large end of the gear tooth determined based on the results of the previous two trial cutting rolls, and k g is the distance adjustment coefficient from the center of the contact spot to the tooth tip determined based on the results of the previous two trial cutting rolls;
In the inverse adjustment module, the inverse adjustment correction function of the third tooth surface contact spot center is as follows:
cn＝c+kc×(c2-c)
g n＝g+kg×(g2 -g) (N is more than or equal to 2), c is the distance from the center of the contact spot to the large end of the gear tooth, g is the distance from the center of the contact spot to the tooth tip, c 2、g2 is the distance from the center of the actual imprint of the second trial cut gear pair on the rotary projection surface to the large end and the tooth tip respectively, k c is the distance adjustment coefficient from the center of the contact spot to the large end of the gear tooth determined based on the results of the previous trial cut rolling detection, k g is the distance adjustment coefficient from the center of the contact spot to the tooth tip determined based on the results of the previous trial cut rolling detection, and c n、gn is the distance from the center of the contact spot of the tooth surface to the large end and the tooth tip of the nth trial cut gear pair on the rotary projection surface obtained based on the correction function respectively.
5. The electronic equipment is characterized by comprising a processor, a communication interface, a memory and a communication bus, wherein the processor, the communication interface and the memory are communicated with each other through the communication bus;
A memory for storing a computer program;
A processor for carrying out the method steps of any one of claims 1-3 when executing a program stored on a memory.
6. A computer-readable storage medium, characterized in that the computer-readable storage medium has stored therein a computer program which, when executed by a processor, implements the method steps of any of claims 1-3.
7. A vehicle, characterized by comprising: a memory, a processor and a computer program stored on the memory and executable on the processor, the processor executing the program to implement a cycloidal-tooth bevel gear tooth face thermal deformation correction method according to any one of claims 1-3.
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| WO2020252842A1 (en) * | 2019-06-19 | 2020-12-24 | 江苏太平洋精锻科技股份有限公司 | Design method based on actual load for tooth surface contact spot of gear |
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| EP0263947A1 (en) * | 1986-10-03 | 1988-04-20 | Werkzeugmaschinenfabrik Oerlikon-Bührle AG | Machine for lapping two bevel gears having teeth curved in their longitudinal direction |
| CN102240917A (en) * | 2011-07-14 | 2011-11-16 | 东北大学 | Direct drive type servo knife rest |
| CN102519721A (en) * | 2011-09-30 | 2012-06-27 | 吉孚动力技术(中国)有限公司 | Transmission gear contact pattern experimental facility |
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