CN105822754A - Speed reducer shell structure for reducing radiation noise of drive axle - Google Patents
Speed reducer shell structure for reducing radiation noise of drive axle Download PDFInfo
- Publication number
- CN105822754A CN105822754A CN201610333048.3A CN201610333048A CN105822754A CN 105822754 A CN105822754 A CN 105822754A CN 201610333048 A CN201610333048 A CN 201610333048A CN 105822754 A CN105822754 A CN 105822754A
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- China
- Prior art keywords
- reinforcement
- driven wheel
- differential
- flange body
- supporter
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- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
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Classifications
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
- F16H—GEARING
- F16H57/00—General details of gearing
- F16H57/02—Gearboxes; Mounting gearing therein
- F16H57/028—Gearboxes; Mounting gearing therein characterised by means for reducing vibration or noise
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
- F16H—GEARING
- F16H57/00—General details of gearing
- F16H57/02—Gearboxes; Mounting gearing therein
- F16H57/03—Gearboxes; Mounting gearing therein characterised by means for reinforcing gearboxes, e.g. ribs
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
- F16H—GEARING
- F16H57/00—General details of gearing
- F16H57/02—Gearboxes; Mounting gearing therein
- F16H57/037—Gearboxes for accommodating differential gearings
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
- F16H—GEARING
- F16H57/00—General details of gearing
- F16H57/02—Gearboxes; Mounting gearing therein
- F16H57/038—Gearboxes for accommodating bevel gears
Abstract
The invention provides a speed reducer shell structure for reducing radiation noise of a drive axle. The speed reducer shell structure comprises a flange body, driven bevel gear containing bodies, a bearing seat supporting body, a drive bevel gear bearing supporting body and a differential bearing supporting body which are mutually connected into an integral body, and is characterized in that eight reinforcing ribs are arranged on the outer surface of the shell; the reinforcing ribs fully extend from the peripheral edge of the bearing seat supporting body onto the edge of the flange body; five reinforcing ribs are parallelly arranged, wherein two pairs of reinforcing ribs are in the same plane; and the other three reinforcing ribs are scattered and extend onto the flange body in the circumferential direction with the bearing seat supporting body adopted as the center, and form certain angles with the former five reinforcing ribs. According to the speed reducer shell structure, the parallel ribs and the scattered ribs are comprehensively distributed on the outer surface of the speed reducer shell, so that the modal and acoustic performances of the speed reducer shell are improved, the heat irradiation area of the outer surface of the speed reducer shell is enlarged, the temperature of lubricating oil inside the shell is decreased, and the working environment of parts such as gears is improved.
Description
Technical field
The invention belongs to automobile drive axle technical field, particularly to a kind of automobile drive axle reducer shell.
Background technology
Automobile drive axle in use, is easily generated noise problem, has a strong impact on to take advantage of and drives comfortableness, external environment condition is caused sound pollution simultaneously.The main cause that axle noise produces is as follows: one is driving and driven bevel gear because of the meshing noise that flank engagement malposition, driving error fluctuation are big, the most high reason of Superposition degree modulus produces, and two is the contact noise that bearing is formed because the form error of raceway face and rolling element collides each other when high speed rotary motion.The bang path of two kinds of above-mentioned noises, one way in which is outwardly to radiate by being positioned at the reducer shell of drive axle front position.Common drive axle reducer housing uses outer surface without reinforcement, few reinforcement or divergence form reinforcing rib structure, and housing cavity volume design simultaneously is relatively big, and when being assembled on axle assembly, Integral modes and the acoustic characteristic of housing are poor, and radiated noise is bigger.
Summary of the invention
It is contemplated that propose a kind of reducer shell structure reducing drive axle radiated noise, employing carries out parallel muscle and circumference at reducing gearbox outer surface and comprehensively arranges to dissipating muscle, housing cavity uses small size structure, improve reducer shell mode and acoustic characteristic, reduce reducer shell outwardly radiated noise grade.
The technical scheme is that and be achieved in that:
nullA kind of reducer shell structure reducing drive axle radiated noise,Including flange body、Driven wheel of differential inclusion body、Bearing block supporter、Drive bevel gear bearing supporter、Differential bearing supporter,It is interconnected with one another integral,Wherein driven wheel of differential inclusion body is positioned at flange body end face medium position,It is with flange body central horizontal vertical and differential bearing supporter bottom surface intersection as axis、Cross section is that U-shaped revolution hands over a section formation with flange body,Bearing block supporter is annular,The circumference half of bearing block supporter is positioned at the half side position on the lower side, a left side of flange body end face,Second half of the circumference of bearing block supporter is positioned at end face position on the lower side, driven wheel of differential inclusion body left side,Drive bevel gear bearing supporter is fixed on flange body end face center deviation lower left side position,And it is positioned at bearing block supporter projection annulus on flange body,Differential bearing supporter two parts in left and right altogether,It is fixed on flange body bottom surface,About differential bearing supporter, two parts are arranged in parallel and are listed in the both sides of driven wheel of differential inclusion body,It is characterized in that,Described a kind of reducer shell structure reducing drive axle radiated noise also includes 8 reinforcements,One end of each reinforcement extends on the circumference of bearing block supporter、The other end extends in flange body outer rim.
Further technical scheme includes:
null8 described reinforcements are: the first reinforcement、Second reinforcement、3rd reinforcement、4th reinforcement、5th reinforcement、6th reinforcement、7th reinforcement and the 8th reinforcement,First reinforcement、Second reinforcement and the 3rd reinforcement are each attached on driven wheel of differential inclusion body and one end of each reinforcement extends to bearing block supporter on the excircle of driven wheel of differential inclusion body side,The other end extends in the flange body outer rim on the right side of driven wheel of differential inclusion body,First reinforcement、Second reinforcement and the 3rd reinforcement are parallel to each other and parallel with flange body central horizontal vertical,4th reinforcement and the 5th reinforcement are held within the bearing block supporter circumference end face away from the flange body of driven wheel of differential inclusion body side,And the 4th one end of reinforcement and the 5th reinforcement extend on the bearing block supporter circumference away from driven wheel of differential inclusion body side,The other end of the 4th reinforcement and the 5th reinforcement extends in the flange body outer rim on the left of driven wheel of differential inclusion body,4th reinforcement and the 3rd reinforcement are in the same plane,In 5th reinforcement and the second reinforcement are generally aligned in the same plane,To be sequentially arranged the 7th reinforcement and the 6th reinforcement between direction the 3rd reinforcement and the 4th reinforcement clockwise,7th reinforcement is fixed on driven wheel of differential inclusion body,One end of 7th reinforcement extends to bearing block supporter on the circumference of driven wheel of differential inclusion body side、The other end extends in the flange body outer rim below driven wheel of differential inclusion body,6th reinforcement is fixed on flange body end face,One end of 6th reinforcement extends on the bearing block supporter circumference away from driven wheel of differential inclusion body side、The other end extends in the flange body outer rim on the left of driven wheel of differential inclusion body,With clockwise as direction,It is disposed with the 8th reinforcement between 5th reinforcement and the first reinforcement,8th reinforcement is fixed on flange body end face,One end of 8th reinforcement extends on the bearing block supporter circumference away from driven wheel of differential inclusion body side,The other end extends in the flange body outer rim on the left of driven wheel of differential inclusion body.
The thickness of each reinforcement is 6mm~12mm.
In first reinforcement, the second reinforcement and the 3rd reinforcement, the distance between adjacent two reinforcements is equal and spacing distance is 60mm~120mm.
Angle between 7th reinforcement and the 3rd reinforcement is 30 °~80 °, and the angle between the 6th reinforcement and the 4th reinforcement is 30 °~80 °.
Present configuration can reach following effect:
1, the parallel muscle of reducing gearbox external surface and circumference dissipate muscle and comprehensively arrange and little intracavity structure, improve reducer shell characteristics of mode and acoustical behavior, can effectively reduce the rank of housing outwardly radiated noise;
2, the layout of reinforcement adds the area of dissipation of reducing gearbox outer surface, reduces the lubricating oil temperature in shell, improves the working environment of the parts such as gear, extends drive axle service life.
Accompanying drawing explanation
Fig. 1 present configuration front shape schematic diagram
The oblique schematic shapes of Fig. 2 present configuration
Fig. 3 present configuration bottom shape schematic diagram
Fig. 4 driven wheel of differential of the present invention inclusion body cross sectional shape schematic diagram
In figure: 1. flange body, 2. driven wheel of differential inclusion body, 3. bearing block supporter, 4. drive bevel gear bearing supporter, 5. differential bearing supporter, 6. the first reinforcement, 7. the second reinforcement, 8. the 3rd reinforcement, 9. the 4th reinforcement, 10. the 5th reinforcement, 11. the 6th reinforcements, 12. the 7th reinforcements, 13. the 8th reinforcements.
Detailed description of the invention
nullBelow in conjunction with the accompanying drawings this present configuration is described further: as shown in Figures 1 to 4,A kind of reducer shell structure reducing drive axle radiated noise,Including flange body 1、Driven wheel of differential inclusion body 2、Bearing block supporter 3、Drive bevel gear bearing supporter 4、Differential bearing supporter 5,It is interconnected with one another integral,Wherein driven wheel of differential inclusion body 2 is positioned at flange body 1 end face medium position,It is to rotate friendship for axis cross section for U-shaped with differential bearing supporter 5 bottom surface intersecting lens with flange body 1 central horizontal vertical to cut formation,Bearing block supporter 3 is annular,The circumference half of bearing block supporter 3 is positioned at the half side position on the lower side, a left side of flange body 1 end face,Second half of the circumference of bearing block supporter 3 is positioned at end face position on the lower side, driven wheel of differential inclusion body 2 left side,Drive bevel gear bearing supporter 4 is fixed on flange body 1 end face center deviation lower left side position,And it is positioned at the bearing block supporter 3 projection annulus on flange body 1,Differential bearing supporter 5 two parts in left and right altogether,It is fixed on flange body 1 bottom surface,Two parts in left and right are arranged in parallel and are listed in the both sides of driven wheel of differential inclusion body 2,Also include 8 reinforcements,It it is the first reinforcement 6、Second reinforcement 7、3rd reinforcement 8、4th reinforcement 9、5th reinforcement 10、6th reinforcement 11、7th reinforcement 12 and the 8th reinforcement 13,The thickness of each reinforcement is 6mm~12mm,First reinforcement 6、Second reinforcement 7 and the 3rd reinforcement 8 is each attached on driven wheel of differential inclusion body 2 and one end of each reinforcement extends to bearing block supporter 3 on the excircle of driven wheel of differential inclusion body 2 side,The other end extends in flange body 1 outer rim on the right side of driven wheel of differential inclusion body 2,First reinforcement 6、Second reinforcement 7 is parallel to each other with the 3rd reinforcement 8 and parallel with flange body 1 central horizontal vertical,4th reinforcement 9 and the 5th reinforcement 10 are held within bearing block supporter 3 circumference end face away from the flange body 1 of driven wheel of differential inclusion body 2 side,And the 4th one end of reinforcement 9 and the 5th reinforcement 10 extend on the bearing block supporter 3 circumference away from driven wheel of differential inclusion body 2 side,The other end of the 4th reinforcement 9 and the 5th reinforcement 10 extends in flange body 1 outer rim on the left of driven wheel of differential inclusion body 2,4th reinforcement 9 and the 3rd reinforcement 8 are in the same plane,In 5th reinforcement 10 and the second reinforcement 7 are generally aligned in the same plane,To be sequentially arranged the 7th reinforcement 12 and the 6th reinforcement 11 between direction the 3rd reinforcement 8 and the 4th reinforcement 9 clockwise,7th reinforcement 12 is fixed on driven wheel of differential inclusion body 2,One end of 7th reinforcement 12 extends to bearing block supporter 3 on the circumference of driven wheel of differential inclusion body 2 side,The other end extends in flange body 1 outer rim below driven wheel of differential inclusion body 2,6th reinforcement 11 is fixed on flange body 1 end face,One end of 6th reinforcement 11 extends on the bearing block supporter 3 circumference away from driven wheel of differential inclusion body 2 side、The other end extends in flange body 1 outer rim on the left of driven wheel of differential inclusion body 2,With clockwise as direction,It is disposed with the 8th reinforcement 13 between 5th reinforcement 10 and the first reinforcement 6,8th reinforcement 13 is fixed on flange body 1 end face,One end of 8th reinforcement 13 extends on the bearing block supporter 3 circumference away from driven wheel of differential inclusion body 2 side,The other end extends in flange body 1 outer rim on the left of driven wheel of differential inclusion body 2.In first reinforcement the 6, second reinforcement 7 and the 3rd reinforcement 8, the distance between adjacent two reinforcements is equal and spacing distance is 60mm~120mm.Angle between 7th reinforcement 12 and the 3rd reinforcement 8 is 30 °~80 °, and the angle between the 6th reinforcement 11 and the 4th reinforcement 9 is 30 °~80 °.
It is as follows that process is analyzed in reducer shell acoustics and characteristics of mode optimization:
1, model analysis: setting up Driving axle housing FEM (finite element) model (including reducer shell and axle housing body), finite element model analysis parameter is shown in Table 1, and model material parameter is shown in Table 2.
Table 1 FEM (finite element) model parameter comparison
Classification | Cell type | Cell size | Node total number | Unit sum |
Prior art | Tetra10 | 6 | 811534 | 444560 |
Present configuration | Tetra10 | 6 | 825399 | 453579 |
Table 2 model analysis material therefor parameter
Parts | Material trademark | Elastic modulus E (Mpa) | Poisson's ratio (μ) | Density (kg/mm3) |
Reducing gearbox | QT450-10 | 1.75e+5 | 0.31 | 7.2e-6 |
Other | 355L | 2.1e+5 | 0.30 | 7.8e-6 |
Prior art is shown in Table 3 with the FEM modal analysis and modal (it is crucial that front 10 rank) of present configuration.
Table 3 two schemes FEM modal analysis and modal (front 10 rank)
Modal Optimization conclusion is as follows: (1) compared with prior art, and first step mode frequency of the present invention improves 18.2Hz;(2), in the range of 3000Hz, compared with prior art, the mode number of present configuration decreases 3 rank.
2, acoustic analysis: set up Driving axle housing boundary element model (including reducer shell and axle housing body) and the analysis model of 1m site.Boundary element model analytical parameters is shown in Table 4, model material parameter ibid table 2.
Table 4 boundary element model parameter comparison
Classification | Cell type | Cell size | Node total number | Unit sum |
Prior art | Quad4 | 10 | 20323 | 20321 |
Present configuration | Quad4 | 10 | 21521 | 21519 |
Structural analysis process: axle housing is carried out Free Modal Analysis, at bearing block position imposed load, frequency range is (0~3000) Hz, and step-length is 1Hz, carries out modal response calculating with VL-Noiseandvibration solver.
Acoustic Optimization analyzes conclusion: in (400-3000) Hz, prior art radiated level is 88.1dB (A), present configuration radiated level is 86dB (A), and radiated noise grade reduces 2.1dB (A).
The comprehensive above relative analysis to reducer shell, present configuration can be effectively improved the characteristics of mode of housing, reduces the rank of reducer shell outwardly radiated noise, improves the serviceability of automobile drive axle.
Claims (5)
- null1. the reducer shell structure reducing drive axle radiated noise,Including flange body (1)、Driven wheel of differential inclusion body (2)、Bearing block supporter (3)、Drive bevel gear bearing supporter (4)、Differential bearing supporter (5),It is interconnected with one another integral,Wherein driven wheel of differential inclusion body (2) is positioned at flange body (1) end face medium position,It is as axis with flange body (1) central horizontal vertical and differential bearing supporter (5) bottom surface intersection、Cross section is that U-shaped revolution hands over a section formation with flange body (1),Bearing block supporter (3) is annular,The circumference half of bearing block supporter (3) is positioned at the half side position on the lower side, a left side of flange body (1) end face,Second half of the circumference of bearing block supporter (3) is positioned at end face position on the lower side, driven wheel of differential inclusion body (2) left side,Drive bevel gear bearing supporter (4) is fixed on flange body (1) end face center deviation lower left side position,And it is positioned at the bearing block supporter (3) projection annulus on flange body (1),Differential bearing supporter (5) two parts in left and right altogether,It is fixed on flange body (1) bottom surface,Two parts in differential bearing supporter (5) left and right are arranged in parallel and are listed in the both sides of driven wheel of differential inclusion body (2),It is characterized in that,Described a kind of reducer shell structure reducing drive axle radiated noise also includes 8 reinforcements,One end of each reinforcement extends on the circumference of bearing block supporter (3)、The other end extends in flange body (1) outer rim.
- nullA kind of reducer shell structure reducing drive axle radiated noise the most according to claim 1,It is characterized in that,8 described reinforcements are: the first reinforcement (6)、Second reinforcement (7)、3rd reinforcement (8)、4th reinforcement (9)、5th reinforcement (10)、6th reinforcement (11)、7th reinforcement (12) and the 8th reinforcement (13),First reinforcement (6)、Second reinforcement (7) and the 3rd reinforcement (8) are each attached on driven wheel of differential inclusion body (2) and one end of each reinforcement extends to bearing block supporter (3) on the excircle of driven wheel of differential inclusion body (2) side、The other end extends in flange body (1) outer rim on driven wheel of differential inclusion body (2) right side,First reinforcement (6)、Second reinforcement (7) is parallel to each other with the 3rd reinforcement (8) and parallel with flange body (1) central horizontal vertical,4th reinforcement (9) and the 5th reinforcement (10) are held within bearing block supporter (3) circumference away from the end face of the flange body (1) of driven wheel of differential inclusion body (2) side,And the 4th one end of reinforcement (9) and the 5th reinforcement (10) extend on the bearing block supporter (3) circumference away from driven wheel of differential inclusion body (2) side,The other end of the 4th reinforcement (9) and the 5th reinforcement (10) extends in flange body (1) outer rim in driven wheel of differential inclusion body (2) left side,4th reinforcement (9) is with the 3rd reinforcement (8) in the same plane,In 5th reinforcement (10) and the second reinforcement (7) are generally aligned in the same plane,To be sequentially arranged the 7th reinforcement (12) and the 6th reinforcement (11) between direction the 3rd reinforcement (8) and the 4th reinforcement (9) clockwise,7th reinforcement (12) is fixed on driven wheel of differential inclusion body (2),One end of 7th reinforcement (12) extends to bearing block supporter (3) on the circumference of driven wheel of differential inclusion body (2) side、The other end extends in flange body (1) outer rim of driven wheel of differential inclusion body (2) lower section,6th reinforcement (11) is fixed on flange body (1) end face,One end of 6th reinforcement (11) extends on the bearing block supporter (3) circumference away from driven wheel of differential inclusion body (2) side、The other end extends in flange body (1) outer rim in driven wheel of differential inclusion body (2) left side,With clockwise as direction,It is disposed with the 8th reinforcement (13) between 5th reinforcement (10) and the first reinforcement (6),8th reinforcement (13) is fixed on flange body (1) end face,One end of 8th reinforcement (13) extends on the bearing block supporter (3) circumference away from driven wheel of differential inclusion body (2) side,The other end extends in flange body (1) outer rim in driven wheel of differential inclusion body (2) left side.
- A kind of reducer shell structure reducing drive axle radiated noise the most according to claim 1 and 2, it is characterised in that the thickness of each reinforcement is 6mm~12mm.
- A kind of reducer shell structure reducing drive axle radiated noise the most according to claim 2, it is characterized in that, in first reinforcement (6), the second reinforcement (7) and the 3rd reinforcement (8), the distance between adjacent two reinforcements is equal and spacing distance is 60mm~120mm.
- A kind of reducer shell structure reducing drive axle radiated noise the most according to claim 2, it is characterized in that, angle between 7th reinforcement (12) and the 3rd reinforcement (8) is 30 °~80 °, and the angle between the 6th reinforcement (11) and the 4th reinforcement (9) is 30 °~80 °.
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CN201610333048.3A CN105822754A (en) | 2016-05-19 | 2016-05-19 | Speed reducer shell structure for reducing radiation noise of drive axle |
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CN201610333048.3A CN105822754A (en) | 2016-05-19 | 2016-05-19 | Speed reducer shell structure for reducing radiation noise of drive axle |
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Cited By (1)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN113010976A (en) * | 2021-02-09 | 2021-06-22 | 中国航发哈尔滨东安发动机有限公司 | Helicopter main reducer shell strength simulation method |
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JP2001146956A (en) * | 1999-11-19 | 2001-05-29 | Suzuki Motor Corp | Differential device of automobile |
CN201301948Y (en) * | 2008-09-24 | 2009-09-02 | 中国第一汽车集团公司 | Speed reducer shell body with weight-reducing structure |
CN201705899U (en) * | 2010-04-23 | 2011-01-12 | 浙江吉利汽车研究院有限公司 | Hybrid power automobile speed changer casing |
CN202220842U (en) * | 2011-08-15 | 2012-05-16 | 方盛车桥(柳州)有限公司 | Reinforcement main reducer capable of disposing retarder on reducer housing |
CN203548830U (en) * | 2013-10-23 | 2014-04-16 | 袁林峰 | Novel differential box |
CN203560405U (en) * | 2013-11-27 | 2014-04-23 | 安徽安凯福田曙光车桥有限公司 | Low-offset-distance, high-torque and low-noise main speed reducer assembly |
CN205244308U (en) * | 2015-11-09 | 2016-05-18 | 青特集团有限公司 | Novel lightweight main reducer casing |
CN205780761U (en) * | 2016-05-19 | 2016-12-07 | 中国第一汽车股份有限公司 | A kind of reducer shell structure reducing drive axle radiated noise |
-
2016
- 2016-05-19 CN CN201610333048.3A patent/CN105822754A/en active Pending
Patent Citations (8)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
JP2001146956A (en) * | 1999-11-19 | 2001-05-29 | Suzuki Motor Corp | Differential device of automobile |
CN201301948Y (en) * | 2008-09-24 | 2009-09-02 | 中国第一汽车集团公司 | Speed reducer shell body with weight-reducing structure |
CN201705899U (en) * | 2010-04-23 | 2011-01-12 | 浙江吉利汽车研究院有限公司 | Hybrid power automobile speed changer casing |
CN202220842U (en) * | 2011-08-15 | 2012-05-16 | 方盛车桥(柳州)有限公司 | Reinforcement main reducer capable of disposing retarder on reducer housing |
CN203548830U (en) * | 2013-10-23 | 2014-04-16 | 袁林峰 | Novel differential box |
CN203560405U (en) * | 2013-11-27 | 2014-04-23 | 安徽安凯福田曙光车桥有限公司 | Low-offset-distance, high-torque and low-noise main speed reducer assembly |
CN205244308U (en) * | 2015-11-09 | 2016-05-18 | 青特集团有限公司 | Novel lightweight main reducer casing |
CN205780761U (en) * | 2016-05-19 | 2016-12-07 | 中国第一汽车股份有限公司 | A kind of reducer shell structure reducing drive axle radiated noise |
Cited By (1)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN113010976A (en) * | 2021-02-09 | 2021-06-22 | 中国航发哈尔滨东安发动机有限公司 | Helicopter main reducer shell strength simulation method |
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Application publication date: 20160803 |