CN113916168B - Involute template for large gear measuring instrument field - Google Patents
Involute template for large gear measuring instrument field Download PDFInfo
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- CN113916168B CN113916168B CN202111007908.1A CN202111007908A CN113916168B CN 113916168 B CN113916168 B CN 113916168B CN 202111007908 A CN202111007908 A CN 202111007908A CN 113916168 B CN113916168 B CN 113916168B
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- 229910000831 Steel Inorganic materials 0.000 claims description 3
- AZDRQVAHHNSJOQ-UHFFFAOYSA-N alumane Chemical group [AlH3] AZDRQVAHHNSJOQ-UHFFFAOYSA-N 0.000 claims description 3
- 238000001816 cooling Methods 0.000 claims description 3
- 238000004080 punching Methods 0.000 claims description 3
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- 238000005259 measurement Methods 0.000 abstract description 5
- 238000010586 diagram Methods 0.000 description 6
- 230000005540 biological transmission Effects 0.000 description 5
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Classifications
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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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- 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
- G01B21/02—Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant for measuring length, width, or thickness
- G01B21/04—Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant for measuring length, width, or thickness by measuring coordinates of points
- G01B21/042—Calibration or calibration artifacts
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- A Measuring Device Byusing Mechanical Method (AREA)
Abstract
The invention discloses an involute template for the field of large gear measurement, which comprises a frame, a counterweight frame, a centering shaft, a measuring shaft and a reference block, wherein two V-shaped blocks are arranged on the left side of the frame and are fixed on the frame through screws, the V-shaped blocks are matched with counterweight clamping hoops, the centering shaft is firmly fixed between the V-shaped blocks and the counterweight clamping hoops by tightening the screws, the counterweight clamping hoops are fixed with the counterweight frame through the screws, the counterweight block is connected with the counterweight frame through the screws, four reference cushion columns are arranged on one surface of the frame, the right end of the frame is fixed with the V-shaped blocks through the screws, the V-shaped blocks are matched with the clamping hoops to fix the measuring shaft, and the reference block is fixed on the measuring shaft through four screws. Through rough adjustment of parallelism of the measuring shaft and the centering shaft in the assembly process and fine adjustment on the gear measuring center, the parallelism of the two shafts can be ensured after final assembly, and the precision of the gear measuring center can be ensured by finally calibrating the involute template.
Description
Technical Field
The invention relates to the field of calibration of large gear measuring instruments, in particular to a mechanical structure design of a novel involute template for the field of large gear measuring instruments.
Background
The gear is widely applied to military equipment, industrial products and civil commodities as an important part, and has the characteristics of compact structure, accurate transmission ratio, high transmission efficiency and the like. The large gear is widely applied to manufacturing industries such as shipbuilding industry, coal mining industry, wind power generation, petroleum conveying systems and the like, a gear measuring center is commonly adopted for detecting the precision of the gear, and in order to ensure the correct execution of the precision standard of the large gear, a large-size involute magnitude transmission system is required to be established for calibrating the precision of the gear measuring center.
The large gear is widely applied in engineering, but the large gear template for calibrating the gear measuring instrument in China is less and more large because the large gear involute template has large size, complex shape and difficult processing, and meanwhile, a high-precision instrument for detecting the large-size template is lacking. The gear templates in China are smaller in size, and the calibration requirement of a large gear measuring instrument with a large measuring range cannot be met. The invention uses the arc surface with controllable precision to replace the involute tooth profile, constructs a novel involute template, provides a mechanical structure of the novel involute template, can realize high-precision detection while meeting the requirement of high-precision processing of the template, and provides technical support for establishing a large-size involute magnitude transmission system in China, realizing magnitude tracing and expanding the national standards of gear involute.
Disclosure of Invention
The invention aims to provide a novel involute template for the field of large gear measuring instruments, provides a mechanical structure of a double-shaft arc large-size involute template, and provides a new thought for building a large-size gear involute magnitude transmission system, so as to solve the problem that the prior gear involute template in China is smaller in size and cannot meet the technical requirement of calibrating a large gear measuring center in the background technology.
In order to achieve the above purpose, the present invention provides the following technical solutions: a novel involute template for the field of large gear measuring instruments adopts an arc to replace the theoretical involute of a large gear under fixed parameters. The utility model provides a comprehensive consideration is calibrated gear measurement center with requirement, assembly precision and time stability of gear pattern, has proposed the mechanical structure of novel involute template, including frame, counter weight frame, centering shaft, measurement axle and benchmark piece, two V type pieces are installed in the frame left side, through the fix with screw on the frame, and V type piece is through cooperating with counter weight clamp, screw down the screw with the centering shaft firmly fix in the middle of V type piece and counter weight clamp, and the counter weight clamp passes through the fix with screw together with counter weight frame, and the balancing weight is in the same place with counter weight frame link through the screw again, the one side of frame is provided with four benchmark pad posts, and the frame right-hand member is through the fix with the clamp cooperation of V type piece with the measurement axle, and the benchmark piece is fixed on the measurement axle through four mutual intervals 90 screw of arranging.
Preferably, the reference block is fixed on the measuring shaft in a screw thread mode, the top of the measuring shaft is a stepped shaft, and four threaded holes are uniformly distributed on the stepped shaft in a mutually different 90-degree mode.
Preferably, the fixing of the measuring shaft and the centering shaft utilizes the cooperation of the V-shaped block and the clamping hoop.
Preferably, the four hollowed cylinders are light and hollow.
Preferably, the frame and the counterweight frame are both triangular structures.
Preferably, the four reference cushion posts are distributed on one side of the frame and remain on the same plane.
Preferably, the counterweight frame and the frame are all of aluminum structure, and are subjected to anodic oxidation and multiple ageing treatments. The reference block, the shaft and the connecting piece are all made of bearing steel, and HRC60 is subjected to high-temperature aging treatment, quenching and ice-cooling treatment.
The beneficial effects of the invention are as follows:
1. the reference block is fixed on the measuring central shaft in a screw thread mode, the top of the measuring shaft is a stepped shaft, and four threaded holes are uniformly distributed on the stepped shaft in a mutually different 90-degree mode. A through hole is drilled in the middle of the reference block, so that the stepped shaft on the measuring shaft just passes through the through hole on the reference block, and four stepped holes around the through hole correspond to the positions of four threaded holes on the stepped shaft one by one. The arrangement of the mutual difference of 90 degrees can adjust the hole position to ensure that the hole position and the upper end of the frame are on the same straight line when the measuring shaft is assembled, and then the perpendicularity of the side surface of the reference block and the plane of the upper end of the frame can be naturally ensured when the reference block is assembled.
2. The measuring shaft and the centering shaft are fastened by utilizing the V-shaped block matched with the clamp, and then fixed on two mutually parallel side surfaces of the frame, and the parallelism of the measuring shaft and the centering shaft can be accurately ensured through a certain assembly flow by utilizing the fine adjustment of the parallelism fine adjustment gasket during assembly.
3. The position of the frame for the hollowing out treatment is determined to be the optimal position after being optimized by ANSYS analysis software, and the strength of the whole structure can be ensured while the weight of the whole mechanical structure is reduced.
4. Considering the function of each part in the whole mechanical structure, after comprehensively considering all angles of precision, weight, economy and the like, the counterweight frame and the frame are all of aluminum structures and are subjected to anodic oxidation and multiple ageing treatments. The reference block, the shaft and the connecting piece are all made of bearing steel, and HRC60 is subjected to high-temperature aging treatment, quenching and ice-cooling treatment.
5. The frame is used as the main body of the whole mechanical structure, the overall shape of the frame is triangular, the stability of the overall structure is guaranteed, deformation is not easy to occur, the parallelism between two shafts is easy to guarantee during assembly, and the assembly completion structure is more stable.
Drawings
FIG. 1 is a schematic diagram of the overall structure of a novel calibration template
FIG. 2 is a schematic diagram of the attachment of a V block to a frame
FIG. 3 is a schematic diagram of the connection of a reference block to a measurement shaft
FIG. 4 is a schematic view of a measuring shaft
FIG. 5 is a schematic diagram of a reference block
FIG. 6 is a schematic illustration of the attachment of a weight clamp to a weight frame
FIG. 7 is a schematic diagram of parallelism in two axes X, Y
Figure 8 parallelism fine tuning pad
FIG. 9 is a schematic diagram of mounting a parallelism fine tuning pad
In the figure, a 1-balancing weight, a 2-balancing weight clamp, a 3-balancing weight frame, a 4-frame, a 5-measuring shaft, a 6-reference block, a 7-reference pad column, an 8-clamp, a 9-centering shaft, a 10-V-shaped block and an 11-parallelism fine adjustment gasket are arranged.
Detailed Description
The present invention is described in further detail below with reference to the drawings to enable those skilled in the art to practice the invention by referring to the description.
As shown in fig. 1 and 2, four stepped through holes are drilled on the V-shaped block 10, and screws are screwed into threaded holes in the frame 4 through the through holes to fasten the V-shaped block 10 and the frame 4 together. The centering shaft 9 is clamped in the V-shaped grooves of the upper V-shaped block 10 and the lower V-shaped block 10, and the centering shaft 9 is tightly abutted against the V-shaped block 10 by screwing two screws on the counterweight clamping hoop 2; similarly, the V-shaped blocks 10 on the right side of the frame 4 are screwed into threaded holes on the frame 4 through four screws passing through stepped through holes, the measuring shaft 5 is clamped in V-shaped grooves of the upper V-shaped block 10 and the lower V-shaped block 10, and the measuring shaft 5 is tightly abutted against the V-shaped blocks 10 by screwing two screws on the clamping hoop 8; the four reference pad columns 7 are all provided with stepped through holes, and screws pass through the stepped through holes and are screwed into threaded holes in the frame 4 to fix the reference pad columns 7.
As shown in fig. 1, 3, 4 and 5, the top of the measuring shaft 5 is a stepped shaft, and four threaded holes are uniformly distributed on the stepped shaft with a mutual difference of 90 degrees. The middle of the reference block 6 is provided with a through hole, so that the stepped shaft on the measuring shaft 5 just passes through the through hole on the reference block 6, and four stepped holes around the through hole correspond to the positions of four threaded holes on the stepped shaft one by one. The reference block 6 is fastened to the measuring shaft 5 by means of a screw connection.
After the above assembly is completed, ensuring the parallelism of the measuring shaft 5 and the centering shaft 9 is an important point in the assembly process, and the following three steps are methods for roughly adjusting the parallelism of the measuring shaft 5 and the centering shaft 9 in the assembly process.
Step one: the sample plate is placed on the marble plane with guaranteed flatness, the four V-shaped blocks 10 on the frame are unscrewed (unscrewed and not required to be completely unscrewed), the frame is placed on the marble plane through four reference cushion posts 7, a weight is placed above the frame 4 to keep the frame level, the block gauges with the same height are respectively cushioned at the upper end and the lower end of the measuring shaft 5 and the centering shaft 9, and the upper end and the lower end of the measuring shaft 5 and the centering shaft 9 are pressed to enable the shafts to be attached to the block gauges.
Step two: as shown in fig. 7, the screws on the four V-shaped blocks 10 are screwed, the weight on the frame 4 is moved away, so that the two shafts should be theoretically on the same plane, the highest points of the measuring shaft 5 and the centering shaft 9 are hit by the torsion spring table, the height inconsistency is met, the screws on the V-shaped blocks 10 are loosened, and the values on the torsion spring table are seen to finely adjust the V-shaped blocks 10 (downward knocking or upward prying) so that the heights of the four points are kept consistent. I.e. the co-operating V-block 10 ensures parallelism in the direction of the centering shaft 5 and the measuring shaft 9X.
Step three: as shown in fig. 7, the large template is erected, and the large template is supported by placing both ends of the centering shaft 9 on the marble plane, and is fixed to the marble triangular block. And the highest point of the measuring shaft 5 is hit by the torsional spring meter, the heights are inconsistent, the screws on the V-shaped block 10 are loosened, and the screws on the V-shaped block 10 and the clamp 8 are finely adjusted (screwed and unscrewed) according to the values on the torsional spring meter, so that the heights of the two points are consistent. I.e. the cooperation of the V-block 10 and the clamp 8 ensures parallelism in the Y direction of the measuring shaft 5 and the centering shaft 9.
As shown in fig. 1 and 6, the inner side of the counterweight frame 3 is provided with four stepped through holes, and screws pass through the through holes and are screwed into threaded holes on the counterweight clamp 2 to fix the counterweight frame 3; the inner side of the balancing weight 1 is also provided with four stepped through holes, and screws pass through the through holes and are screwed into threaded holes on the balancing weight frame 3 to fix the balancing weight 1.
After the weight part is assembled, fine adjustment of the parallelism of the measuring shaft 5 and the centering shaft 9 is still required, and the following four steps are the process of fine adjustment of the measuring shaft 5 and the centering shaft 9, which are completed by mounting on the gear measuring center.
Step four: and (3) installing the template with the assembled counterweight part on the gear measuring center, and punching the upper end of the centering shaft 9 by a circle through a torsional spring table, so as to continuously adjust the position of the upper center of the gear measuring center to ensure the coaxiality of the upper center and the lower center and ensure the coaxiality to be about 1 mu m.
Step five: as shown in fig. 7, the torsion spring gauge is mounted at the measuring head position of the gear measuring center through the magnetometer mount, the movement of the measuring head is controlled, namely, the torsion spring gauge is controlled, the parallelism in the X direction is judged by judging whether the heights of the two ends of the measuring shaft 5 in the X direction are consistent or not through the torsion spring gauge controlled by the measuring head, and the parallelism in the Y direction is judged by judging whether the heights of the two ends of the measuring shaft 5 in the Y direction are consistent or not.
Step six: as shown in fig. 7, 8 and 9, the two reference pad columns 7 at the right end of the frame 4 are removed by adjusting in the X direction, the two reference pad columns are fixed on the frame through the through holes on the parallelism fine adjustment gasket 11, the screws of the V-shaped blocks 10 are unscrewed, fine adjustment is performed by fine adjustment of the top V-shaped blocks 10 on the top threads (screws) on the parallelism fine adjustment gasket 11, and the upper and lower torsion springs are constantly observed by the torsion spring table in the adjustment process to make the numbers of the upper and lower torsion springs consistent. And finishing the adjustment in the X direction.
Step seven: as shown in fig. 7, the adjustment in the Y direction, the torsion spring is used to measure the highest point of the shaft 5, the screw on the V-shaped block 10 is loosened, and the numerical values on the torsion spring are seen to be finely adjusted (screwed and unscrewed) to the screw on the V-shaped block 10 and the clamp 8, so that the two point readings are kept consistent. And finishing the adjustment in the Y direction.
Although the present invention has been described with reference to the foregoing embodiments, it will be apparent to those skilled in the art that modifications may be made to the embodiments described, or equivalents may be substituted for elements thereof, and any modifications, equivalents, improvements and changes may be made without departing from the spirit and principles of the present invention.
Claims (4)
1. The utility model provides a calibration template for gear wheel measuring instrument field which characterized in that: the measuring device comprises a frame, a counterweight frame, a centering shaft, a measuring shaft and a reference block, wherein two V-shaped blocks are arranged on the left side of the frame and are fixed on the frame through screws, the V-shaped blocks are matched with counterweight clamping hoops, the centering shaft is firmly fixed between the V-shaped blocks and the counterweight clamping hoops by tightening the screws, the counterweight clamping hoops are fixed with the counterweight frame through the screws, the counterweight is connected with the counterweight frame through the screws, four reference cushion columns are arranged on one surface of the frame, the right end of the frame is fixedly provided with the V-shaped blocks through the screws, the V-shaped blocks are matched with the clamping hoops to fix the measuring shaft, and the reference block is fixed on the measuring shaft through the four screws;
four stepped through holes are formed in the V-shaped block, and screws penetrate through the through holes and are screwed into threaded holes in the frame to fasten the V-shaped block and the frame together; the centering shaft is clamped in the V-shaped grooves of the upper V-shaped block and the lower V-shaped block, and the centering shaft is tightly abutted against the V-shaped blocks by screwing two screws on the counterweight clamping hoop; the V-shaped block on the right side of the frame is screwed into the threaded hole on the frame through four screws passing through the stepped through holes, the measuring shaft is clamped in the V-shaped grooves of the upper V-shaped block and the lower V-shaped block, and the measuring shaft is abutted against the V-shaped block by screwing the two screws on the clamping hoop; the four reference pad columns are respectively provided with a stepped through hole, and screws penetrate through the stepped through holes and are screwed into threaded holes in the frame to fix the reference pad columns;
a through hole is drilled in the middle of the reference block, so that the stepped shaft on the measuring shaft just passes through the through hole on the reference block, and four stepped holes around the through hole correspond to the positions of four threaded holes on the stepped shaft one by one; fastening the reference block and the measuring shaft together in a screw connection mode;
the method for roughly adjusting the parallelism of the measuring shaft and the centering shaft in the assembly process is as follows:
step one: the template is placed on a marble plane with guaranteed flatness, the four V-shaped blocks on the frame are unscrewed and loosened, the frame is placed on the marble plane through four reference cushion columns, a weight is placed above the frame to keep the frame horizontal, block gauges with the same height are respectively cushioned on the upper end and the lower end of the measuring shaft and the upper end of the centering shaft, and the upper end and the lower end of the measuring shaft and the lower end of the centering shaft are pressed to enable the shafts to be attached to the block gauges;
step two: the screws on the four V-shaped blocks are screwed, the weight on the frame is moved away, so that the two shafts should be theoretically on a plane, the highest points of the measuring shafts and the centering shafts are beaten by using the torsion spring meter, the heights of the measuring shafts and the centering shafts are inconsistent, the screws on the V-shaped blocks are loosened, and the heights of the four points are consistent by looking at the numerical value fine adjustment of the V-shaped blocks on the torsion spring meter; the parallelism of the centering shaft and the measuring shaft in the 9X direction is ensured by matching with the V-shaped block;
step three: erecting a large template, placing two ends of a centering shaft on a marble plane to support the large template, and fixing the large template on a marble triangular block; the highest point of the measuring shaft is beaten by the torsional spring meter, when the heights are inconsistent, the screws on the V-shaped blocks are loosened, and the screws on the V-shaped blocks and the clamping bands are finely adjusted according to the values on the torsional spring meter, so that the heights of the two points are consistent; the parallelism of the measuring shaft and the centering shaft 9Y direction is ensured by matching the V-shaped block and the clamp;
after the three steps are finished, the rough adjustment of the parallelism of the measuring shaft and the centering shaft in the assembly process is finished; four stepped through holes are formed in the inner side of the counterweight frame, and screws penetrate through the through holes and are screwed into threaded holes in the counterweight clamping clips to fix the counterweight frame; the inner side of the balancing weight is also provided with four stepped through holes, and screws pass through the through holes and are screwed into threaded holes on the balancing weight frame to fix the balancing weight;
after the counterweight part is assembled, the parallelism of the measuring shaft and the centering shaft still needs to be finely adjusted, and the following four steps are the fine adjustment process of the measuring shaft and the centering shaft and are finished by being installed on a gear measuring center;
step four: installing a template with the assembled counterweight part on a gear measurement center, punching the upper end of the centering shaft by a torsion spring for one circle, and continuously adjusting the position of an upper center of the gear measurement center to ensure the coaxiality of the upper center and the lower center and ensure the coaxiality to be about 1 mu m;
step five: the torsion spring meter is arranged at the measuring head position of the gear measuring center through the magnetic meter seat, the movement of the measuring head is controlled, namely the torsion spring meter is controlled, the parallelism in the X direction is judged by judging whether the heights of the two ends of the measuring shaft are consistent or not through the torsion spring meter controlled by the measuring head, and the parallelism in the Y direction is judged by judging whether the heights of the two ends of the measuring shaft are consistent or not;
step six: the parallelism of the measuring shaft and the centering shaft is adjusted in the X direction, two reference cushion columns at the right end of the frame are removed, the two reference cushion columns are fixed on the frame through holes on a parallelism fine adjustment gasket, screws of V-shaped blocks are unscrewed, fine adjustment is carried out by jackscrew top V-shaped blocks on the parallelism fine adjustment gasket, and the number of the upper torsion spring and the lower torsion spring representation is consistent by continuously observing a torsion spring table in the adjustment process; finishing the adjustment in the X direction;
step seven: the parallelism of the measuring shaft and the centering shaft is adjusted in the Y direction, the torsion spring is used for punching the highest point of the measuring shaft, the screw on the V-shaped block is loosened, and the screw on the V-shaped block and the clamping hoop is finely adjusted according to the numerical value on the torsion spring, so that the indication numbers of the two points are kept consistent; and finishing the adjustment in the Y direction.
2. The calibration template for the field of large gear measuring instruments according to claim 1, wherein: the reference block is fixed on the measuring central shaft in a screw thread mode, the top of the measuring shaft is a stepped shaft, and four threaded holes are uniformly distributed on the stepped shaft in a mutually different 90-degree manner; a through hole is drilled in the middle of the reference block, so that the stepped shaft on the measuring shaft just passes through the through hole on the reference block, and four stepped holes around the through hole correspond to the positions of four threaded holes on the stepped shaft one by one.
3. The calibration template for the field of large gear measuring instruments according to claim 1, wherein: the counterweight frames and the frames are all of aluminum structures; the reference block, the shaft and the connecting piece are all made of bearing steel, and HRC60 is subjected to high-temperature aging treatment, quenching and ice-cooling treatment.
4. The calibration template for the field of large gear measuring instruments according to claim 1, wherein: the frame is the main body of the whole mechanical structure, and the whole shape of the frame is triangle.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202111007908.1A CN113916168B (en) | 2021-08-29 | 2021-08-29 | Involute template for large gear measuring instrument field |
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| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202111007908.1A CN113916168B (en) | 2021-08-29 | 2021-08-29 | Involute template for large gear measuring instrument field |
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| Publication Number | Publication Date |
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| CN113916168A CN113916168A (en) | 2022-01-11 |
| CN113916168B true CN113916168B (en) | 2024-04-12 |
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Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN1415933A (en) * | 2002-12-25 | 2003-05-07 | 北京工业大学 | unsymmetrical gauge head with straddling balls and method for measuring conic involute gear with concave helical gear teeth |
| CN201697583U (en) * | 2010-05-14 | 2011-01-05 | 成都工具研究所 | Sample plate of non-involute profile |
| CN103292673A (en) * | 2013-05-29 | 2013-09-11 | 辽宁科技大学 | Method and device for detecting wear of tooth surface of large involute spur gear |
| CN109540060A (en) * | 2018-12-26 | 2019-03-29 | 北京工业大学 | A kind of large scale involute model design method suitable for evaluating involute checker device |
| CN110398188A (en) * | 2019-07-26 | 2019-11-01 | 北京工业大学 | Twin axle circular arc type large scale involute model |
-
2021
- 2021-08-29 CN CN202111007908.1A patent/CN113916168B/en active Active
Patent Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN1415933A (en) * | 2002-12-25 | 2003-05-07 | 北京工业大学 | unsymmetrical gauge head with straddling balls and method for measuring conic involute gear with concave helical gear teeth |
| CN201697583U (en) * | 2010-05-14 | 2011-01-05 | 成都工具研究所 | Sample plate of non-involute profile |
| CN103292673A (en) * | 2013-05-29 | 2013-09-11 | 辽宁科技大学 | Method and device for detecting wear of tooth surface of large involute spur gear |
| CN109540060A (en) * | 2018-12-26 | 2019-03-29 | 北京工业大学 | A kind of large scale involute model design method suitable for evaluating involute checker device |
| CN110398188A (en) * | 2019-07-26 | 2019-11-01 | 北京工业大学 | Twin axle circular arc type large scale involute model |
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| CN113916168A (en) | 2022-01-11 |
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