CN104214281A - Modification method for planetary gear trains with positive addendum modification - Google Patents

Modification method for planetary gear trains with positive addendum modification Download PDF

Info

Publication number
CN104214281A
CN104214281A CN201410469994.1A CN201410469994A CN104214281A CN 104214281 A CN104214281 A CN 104214281A CN 201410469994 A CN201410469994 A CN 201410469994A CN 104214281 A CN104214281 A CN 104214281A
Authority
CN
China
Prior art keywords
correction
positive
planetary gear
flank shape
gear
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Granted
Application number
CN201410469994.1A
Other languages
Chinese (zh)
Other versions
CN104214281B (en
Inventor
龚康
胡黎明
赵林
韩建超
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Beijing Satellite Manufacturing Factory Co Ltd
Original Assignee
Beijing Satellite Manufacturing Factory Co Ltd
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Beijing Satellite Manufacturing Factory Co Ltd filed Critical Beijing Satellite Manufacturing Factory Co Ltd
Priority to CN201410469994.1A priority Critical patent/CN104214281B/en
Priority claimed from CN201410469994.1A external-priority patent/CN104214281B/en
Publication of CN104214281A publication Critical patent/CN104214281A/en
Application granted granted Critical
Publication of CN104214281B publication Critical patent/CN104214281B/en
Expired - Fee Related legal-status Critical Current
Anticipated expiration legal-status Critical

Links

Classifications

    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F16ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
    • F16HGEARING
    • F16H1/00Toothed gearings for conveying rotary motion
    • F16H1/28Toothed gearings for conveying rotary motion with gears having orbital motion
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F16ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
    • F16HGEARING
    • F16H55/00Elements with teeth or friction surfaces for conveying motion; Worms, pulleys or sheaves for gearing mechanisms
    • F16H55/02Toothed members; Worms
    • F16H55/08Profiling
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F16ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
    • F16HGEARING
    • F16H55/00Elements with teeth or friction surfaces for conveying motion; Worms, pulleys or sheaves for gearing mechanisms
    • F16H55/02Toothed members; Worms
    • F16H55/17Toothed wheels
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F16ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
    • F16HGEARING
    • F16H2200/00Transmissions for multiple ratios
    • F16H2200/20Transmissions using gears with orbital motion

Landscapes

  • Engineering & Computer Science (AREA)
  • General Engineering & Computer Science (AREA)
  • Mechanical Engineering (AREA)
  • Retarders (AREA)

Abstract

The invention relates to a modification method for planetary gear trains with positive addendum modification, and the planetary gear trains with positive addendum modification are applied to driving mechanisms for spreading solar panels of satellites. Positive addendum modification can increase the output precision, output stiffness and output torque of planetary gears under the condition of not changing the transmission envelope size of the planetary gears, thus enhancing the overall transmission performance of the planetary gears. The modification method for planetary gear trains with positive addendum modification includes establishment of a theoretical three-dimensional model, calculation of theoretical bearing status, making of a modification scheme, optimized design of modification parameters, modification, gear modification inspection, assembly and testing and comparison. When the modification method is applied to planetary gear trains with positive addendum modification for driving mechanisms for spreading solar panels of satellites, the problems of driving mechanisms, including low output precision, weak output stiffness and high transmission noise, are solved, and the requirement of spreading solar panels of satellites is met.

Description

A kind of positive-angle displacement planetary gear train correction method
Technical field
The present invention relates to a kind of planetary gear train correction method, particularly a kind of positive-angle displacement planetary gear train correction method, for positive-angle displacement planetary gear train modification design and manufacture, belongs to design of gears manufacturing technology field.
Background technique
In astrovehicle driven unit, conventional power source is stepper motor and DC servo motor, and conventional retarder mostly is planetary pinion and harmonic speed reducer, and conventional driving mechanism mostly is central shaft driven.Along with the load that large-scale truss, mechanical arm and extending arm etc. are born is increasing, load rotating inertia is increasing, the reduction speed ratio of conventional harmonic speed reducer, output torque etc. are meeting the demands, therefore need plane table thermoconductivity meter together to use in conjunction with harmonic speed reducer, reach the object that reduces retarder volume, improves retarder output torque.
Positive-angle displacement planetary gear train is applied to the satellite sun span and opens driving mechanism.Angle correcting can improve and not change under the condition of Planetary Gear Transmission envelope size, improves planetary output accuracy, output rigidity and output torque, thus the whole performance that improves Planetary Gear Transmission.The planetary precision machining manufacture of angle correcting and correction of the flank shape technology are to guarantee that Planetary Gear Transmission obtains the essential condition of maximum load-carrying capacity and transmission accuracy, has impetus to its development.At present, also there is no to occur the innovation and creation for the correction method of positive-angle displacement planetary gear train.
Existing methods of mending gear is only carried out gear for single, correction method is divided into profile modification and axial modification, concrete profile modifying parameters majority all rests on theoretical calculating and empirical correlation basis, for the research of complicated planetary gear train, do not have ready-made formula and virtual emulation auxiliary design method to instruct correction of the flank shape processing.
Summary of the invention
Technology of the present invention is dealt with problems and is: overcome the deficiencies in the prior art, a kind of positive-angle displacement planetary gear train correction method is provided, has realized the correction of the flank shape processing of complicated planet wheel shape, reduce gear engaging-in, nibble out impact, improve load and distribute, reduce vibration and noise.Improve bearing capacity and the working life of gear.
Technical solution of the present invention is: a kind of positive-angle displacement planetary gear train correction method, described positive-angle displacement planetary gear train comprises 1 sun gear, a n planet wheel, 1 output inner gear and 1 fixed annulus, every kind of gear is positive-angle modified gear, sun gear, output inner gear and fixed annulus all mesh with planet wheel, between sun gear, output inner gear and fixed annulus, there is not meshing relation, described n is more than or equal to 3, and step is as follows:
(1) utilize Three-dimensional Design Software to align angle correcting planetary gear train and carry out three-dimensional modeling, obtain the theoretical model of positive-angle displacement planetary gear train;
(2) utilize the theoretical model obtaining in finite element analysis software step (1), the input parameter that input speed when positive-angle displacement planetary gear train moves and input torque calculate as finite element analysis software, calculates contact stress between the gear that has meshing relation in positive-angle displacement planetary gear train and the loading conditions of each gear; Be specially:
Each planet wheel is divided into two-part along teeth directional direction, a part for planet wheel and output inner gear engagement, form the first engagement component, another part of planet wheel and sun gear and fixed annulus engagement, form the second engagement component, calculate in the first engagement component the contact stress between planet wheel and output inner gear and the loading conditions of planet wheel and output inner gear, and calculate the contact stress between planet wheel and sun gear and planet wheel and fixed annulus in the second engagement component, calculate planet wheel simultaneously, the loading conditions of sun gear and fixed annulus,
(3) choosing planet wheel is correction of the flank shape object, adopt the method design positive-angle displacement planetary gear train correction of the flank shape scheme of axial modification, described correction of the flank shape scheme comprises the first engagement component correction of the flank shape scheme and the second engagement component scheme of practicing Buddhism or Taoism, described in the scheme of practicing Buddhism or Taoism by the curve of practicing Buddhism or Taoism, the length of practicing Buddhism or Taoism and the amount of practicing Buddhism or Taoism, determined;
The practice Buddhism or Taoism modification curve of scheme of the first engagement component correction of the flank shape scheme and the second engagement component is all set as parabola shaped, correction of the flank shape length is all set as planet wheel half facewidth length, the initial value of profiling quantity is empirical value, and the span of empirical value is: 2um~20um;
(4) utilize positive-angle displacement planetary gear train correction of the flank shape scheme definite in step (3) to simulate correction of the flank shape to the planet wheel in the first engagement component and the second engagement component, and calculate contact stress between the gear that has meshing relation in the first engagement component after practicing Buddhism or Taoism and the second engagement component and the loading conditions of each gear;
If the load that has contact stress between the gear of meshing relation and each gear in the first engagement component calculating and the second engagement component compare with the load that has contact stress between the gear of meshing relation and each gear in the first engagement component calculating in step (2) and the second engagement component all reduce by 10% or more than, in step (3), definite positive-angle displacement planetary gear train correction of the flank shape scheme is final correction of the flank shape scheme, enters step (5);
Otherwise positive-angle displacement planetary gear train correction of the flank shape scheme definite in step (3) is not final correction of the flank shape scheme, adjust respectively the first engagement component profiling quantity that scheme and the second engagement component practice Buddhism or Taoism in scheme of practicing Buddhism or Taoism, repeating step (3)~step (4), until the load that has contact stress between the gear of meshing relation and each gear in the first engagement component calculating and the second engagement component compare with the load that has contact stress between the gear of meshing relation and each gear in the first engagement component calculating in step (2) and the second engagement component all reduce by 10% or more than, now in step (3), definite positive-angle displacement planetary gear train correction of the flank shape scheme is final correction of the flank shape scheme,
(5) according to positive-angle displacement planetary gear train correction of the flank shape scheme definite in step (4), determine the Motion curves of roll flute emery wheel, and utilize roll flute emery wheel and lathe to carry out correction of the flank shape to planet wheel, described roll flute emery wheel is complementary with the tooth profile of design planet wheel;
(6) planet wheel after the correction of the flank shape in step (5) is completed carries out gear testing, obtains the difference between actual profiling quantity and theoretical profiling quantity, thereby determines the precision of correction of the flank shape processing;
(7) planet wheel and 1 sun gear, 1 output inner gear and 1 fixed annulus after n correction of the flank shape completed assembles, positive-angle displacement planetary gear train after being practiced Buddhism or Taoism, utilize actual load to test the positive-angle displacement planetary gear train after practicing Buddhism or Taoism, the positive-angle planetary gear train that positive-angle planetary gear train and the correction of the flank shape of not correction of the flank shape are completed continues contrast, calculates the size of positive-angle planetary gear train profiling quantity.
Three-dimensional Design Software in described step (1) is ProE.
Finite element analysis software in described step (2) is Abaqus.
The present invention's beneficial effect is compared with prior art:
(1) the present invention is directed to the method that engaging gear adopts finite element analysis, solved the problem that in modification design and course of working, scheme and parameter are selected, saved design and manufacture cost;
(2) the present invention is directed to complicated planetary gear train and adopt by the method to meshing relation decomposition analysis, simplified the difficulty of analytical calculation, determine more targetedly correction of the flank shape scheme, saved the correction of the flank shape solution formulation time;
(3) correction of the flank shape scheme of the present invention is for positive-angle modified gear planet wheel design, and modification curve has been considered the impact of positive-angle displacement on profile of tooth, compares with traditional correction of the flank shape scheme, and correction of the flank shape precision has had and increases substantially;
(4) consider that in planetary gear train, planet wheel meshes with two internal gears simultaneously, traditional correction method only carries out modification design for single to engaging gear, can not meet the requirement of this planet wheel modification design.When emulation of the present invention and concrete correction of the flank shape, a gear dimidiation has been gone, solved this planet wheel correction of the flank shape conceptual design difficult problem, reached the requirement of two pairs of meshing relation modification designs that simultaneously meet planet wheel;
(5) when correction of the flank shape is manufactured, adopt the complementary shape emery wheel with the complementation of planet wheel flank profil, promoted the work efficiency that correction of the flank shape is manufactured, improved the precision that correction of the flank shape is manufactured.
Accompanying drawing explanation
Fig. 1 is 3K-II type Planetary Gear Transmission schematic diagram;
Fig. 2 is planet wheel correction of the flank shape scheme;
Fig. 3 is correction of the flank shape emery wheel;
Fig. 4 is flow chart of the present invention.
Embodiment
Below in conjunction with accompanying drawing, the specific embodiment of the present invention is further described in detail.
Figure 4 shows that flow chart of the present invention, as shown in Figure 4, a kind of positive-angle displacement planetary gear train correction method provided by the invention, concrete steps are as follows:
(1) be illustrated in figure 1 as 3K-II type Planetary Gear Transmission schematic diagram, as shown in Figure 1, this planetary gear train is 3K-II Planetary Gear Transmission, utilize Three-dimensional Design Software Pro/E to align angle correcting planetary gear train and carry out three-dimensional modeling, obtain the theoretical model of positive-angle displacement planetary gear train, save as intermediate form file, the foundation of calculating as theory.According to scheme Demand Design parameter, technical order is as shown in table 1, table 2, wherein table 1 is the performance index of 3K-II type plane table thermoconductivity meter, table 2 is 3K-II type Planetary Gear Transmission angle correcting computational chart, through calculating sun gear in planetary gear train, planet wheel, output inner gear, base circle diameter (BCD), involute equation, root diameter, tip diameter, the Fillet of 4 gears of fixed annulus, utilize these modeling parameters, in Three-dimensional Design Software Pro/E, carry out the modeling of single gear; According to planetary gear train trim designs parameter, utilize load module in ProE, each gear after modeling is completed imports load module, and definition assembly relation, assembles; Utilize Three-dimensional Design Software Pro/E to derive formed assembly, obtain intermediate form .x_t file.
Table 1
Sequence number Major project The key technical indexes
1 Velocity ratio 76.2
2 Progression 1
3 Modulus 1.25
4 Gear number distribution z a=18,z b=54,z e=57,z c=19
5 Output services moment scope ≥120N·m
6 Input service speed range 0~100rpm
7 Transmission efficiency ≥70%
8 Transmission kinematic error ≤3′
9 Return difference ≤3′
10 Weight ≤1000g
Table 2
Title Symbol E-c gear pair B-c gear pair A-c gear pair
Reference center distance a 23.75mm 21.875mm 23.125mm
Operating center distance a′ 23.75mm 23.75mm 23.75mm
Center distance modification coefficient y y e=0 y b=1.5 y a=0.5
Modification coefficient and x x ∑e=0 x ∑b=1.885 x ∑a=0.5469
Modification coefficient x x e=+0.25 x b==2.135 x a=0.2969
Addendum coefficient of alteration Δy Δy ec=0 Δy bc=0.385 Δy ac==0.0469
Title Symbol E-c gear pair B-c gear pair A-c gear pair
Addendum coefficient h az* h ae*=0.75 h ab*=3.52 h aa*=1.25
Bottom clearance variation c c*-Δy ec=0.25 ? c*-Δy ec=0.2031
(2) utilize finite element analysis software Abaqus, input speed, input torque are as the input parameter calculating, by analyzing contact stress and the loading conditions of engaging gear when planetary gear train moves.The resulting intermediate form file of previous step is directed in finite element analysis software, calculates contact stress between the gear that has meshing relation in positive-angle displacement planetary gear train and the loading conditions of each gear; Be specially:
Each planet wheel is divided into two-part along teeth directional direction, a part for planet wheel and output inner gear engagement, form the first engagement component, another part of planet wheel and sun gear and fixed annulus engagement, form the second engagement component, calculate in the first engagement component the contact stress between planet wheel and output inner gear and the loading conditions of planet wheel and output inner gear, and calculate the contact stress between planet wheel and sun gear and planet wheel and fixed annulus in the second engagement component, calculate planet wheel simultaneously, the loading conditions of sun gear and fixed annulus,
For simplifying, calculate and need process model, delete and do not have the influential aspect of model to calculating.To participating in engaging gear, carry out grid division, the engagement gear teeth are carried out to suitable cutting apart, favorably situated node on gear mesh, adopt C3D8I cell type, wherein planet wheel is owing to meshing with two internal gears simultaneously, and when calculating, each planet wheel being got in facewidth direction to midpoint subdivision is that two-part carry out.Press input speed 152rpm, maximum input torque 23Nm, operating time 20h sets the boundary conditions calculating.Utilize Abaqus analysis module to carry out FEM (finite element) calculation, analyzed and rear computation structure has been carried out to data processing, finally obtain each to the contact stress on engaging gear and loading conditions.Wherein: planet wheel c and sun gear a gear pair are carried out to contact analysis, and certain unbalance loading has occurred gear, and contact patch district is partial to output section vertically.Now contact force distribution ratio is 5.154, and gear transmission error peak peak value is 4.31um; Fixed annulus b and planetary pinion c gear pair are carried out to contact analysis, there is certain unbalance loading in gear, and contact patch district is partial to output section vertically.Now contact force distribution ratio is 1.3313, and gear transmission error peak peak value is 35.56um; Planet wheel c and output inner gear e gear pair are carried out to contact analysis, there is certain unbalance loading in gear, and contact patch district is partial to input section vertically.Now contact force distribution ratio is 1.8063, and gear transmission error peak peak value is 29.41um.
(3) by analysis to engaging gear theory of contact stress result of calculation to each, choosing planet wheel is correction of the flank shape object, adopts the method design planetary gear train correction of the flank shape scheme of axial modification.The described scheme of practicing Buddhism or Taoism is determined by the curve of practicing Buddhism or Taoism, the length of practicing Buddhism or Taoism and the amount of practicing Buddhism or Taoism; The practice Buddhism or Taoism modification curve of scheme of the first engagement component correction of the flank shape scheme and the second engagement component is all set as parabola shaped, correction of the flank shape length is all set as planet wheel half facewidth length, the initial value of profiling quantity is empirical value, and the span of empirical value is: 2um~20um;
As shown in Figure 2, planet wheel is divided into two-part in facewidth direction, is respectively left gear, right gear.Wherein Δ b is correction of the flank shape length, and value is half facewidth 17mm.Δ s is profiling quantity, according to empirical value, and value 15um, modification curve is chosen as parabola, and equation is f (x)=(4 Δ s/ Δ b2) * 2; F (x)=(4 Δ s/ Δ b2) * 2, establishment of coordinate system is in Δ b/2 place.
(4) utilize positive-angle displacement planetary gear train correction of the flank shape scheme definite in step (3) to simulate correction of the flank shape to the planet wheel in the first engagement component and the second engagement component, and calculate contact stress between the gear that has meshing relation in the first engagement component after practicing Buddhism or Taoism and the second engagement component and the loading conditions of each gear;
If the load that has contact stress between the gear of meshing relation and each gear in the first engagement component calculating and the second engagement component compare with the load that has contact stress between the gear of meshing relation and each gear in the first engagement component calculating in step (2) and the second engagement component all reduce by 10% or more than, in step (3), definite positive-angle displacement planetary gear train correction of the flank shape scheme is final correction of the flank shape scheme, enters step (5);
Otherwise positive-angle displacement planetary gear train correction of the flank shape scheme definite in step (3) is not final correction of the flank shape scheme, adjust respectively the first engagement component profiling quantity that scheme and the second engagement component practice Buddhism or Taoism in scheme of practicing Buddhism or Taoism, repeating step (3)~step (4), until the load that has contact stress between the gear of meshing relation and each gear in the first engagement component calculating and the second engagement component compare with the load that has contact stress between the gear of meshing relation and each gear in the first engagement component calculating in step (2) and the second engagement component all reduce by 10% or more than, now in step (3), definite positive-angle displacement planetary gear train correction of the flank shape scheme is final correction of the flank shape scheme,
According to the correction of the flank shape scheme of formulating, optimal design profile modifying parameters.According to the correction of the flank shape scheme of formulating, according to the selected profiling quantity parameter of correction of the flank shape experience, set up the accurate model of positive-angle planetary gear train after correction of the flank shape, utilize finite element analysis software Abaqus, each after analytical calculation correction of the flank shape is to the contact stress on engaging gear and loading conditions, result of calculation is as shown in table 3, and table 3 is transmission error and the contrast of contact force distribution ratio.From table, data can obviously be found out, the Basis of Gear Deviation Load problem after correction of the flank shape scheme is obviously solved, and especially contact patch area distribution homogenization more, so contact force distribution ratio reduces, reaches setting requirement.And through correction of the flank shape, can reduce the transmission error of gear, thereby reduce the vibratory impulse excitation of this gear train.Therefore selected profiling quantity Δ s is 15um.
Table 3
(5) according to positive-angle displacement planetary gear train correction of the flank shape scheme definite in step (4), determine the Motion curves of roll flute emery wheel, and utilize roll flute emery wheel and lathe to carry out correction of the flank shape to planet wheel, described roll flute emery wheel is complementary with the tooth profile of design planet wheel;
According to the profile modifying parameters of optimizing, customization correction of the flank shape emery wheel and lathe parameter.According to correction of the flank shape scheme, adopt with the roll flute emery wheel of design tooth profile profile complementation and carry out correction of the flank shape, as shown in Figure 3, by the calculating to its parametric, utilize grinding wheel dresser and numerical control program trimming wheel profile to theoretical shape.According to profiling quantity parameter, set the Motion curves of emery wheel, grinding wheel movement curve is modification curve.During grinding wheel dressing, with gear tooth slot tool setting, after tool setting completes, along teeth directional direction, by modification curve, move, carry out correction of the flank shape, after a teeth groove correction of the flank shape completes, swing pinion monodentate angle, the correction of the flank shape that enters next teeth groove, until all teeth groove correction of the flank shape completes.
(6) after correction of the flank shape completes, the planet wheel after the correction of the flank shape in step (5) is completed carries out gear testing, obtains the difference between actual profiling quantity and theoretical profiling quantity, thereby determines the precision of correction of the flank shape processing.
(7) planet wheel and 1 sun gear, 1 output inner gear and 1 fixed annulus after n correction of the flank shape completed assembles, positive-angle displacement planetary gear train after being practiced Buddhism or Taoism, utilize actual load to test the positive-angle displacement planetary gear train after practicing Buddhism or Taoism, the positive-angle planetary gear train that positive-angle planetary gear train and the correction of the flank shape of not correction of the flank shape are completed continues contrast, calculates the size of positive-angle planetary gear train profiling quantity.
The planetary gear train of driving mechanism is opened in China's model satellite sun span, through test, shows, has applied after correction of the flank shape of the present invention, and driving mechanism performance has significantly lifting, meets the index request of task, the expansion of the sun wing effectively guaranteeing.

Claims (3)

1. a positive-angle displacement planetary gear train correction method, described positive-angle displacement planetary gear train comprises 1 sun gear, a n planet wheel, 1 output inner gear and 1 fixed annulus, every kind of gear is positive-angle modified gear, sun gear, output inner gear and fixed annulus all mesh with planet wheel, between sun gear, output inner gear and fixed annulus, there is not meshing relation, described n is more than or equal to 3, it is characterized in that step is as follows:
(1) utilize Three-dimensional Design Software to align angle correcting planetary gear train and carry out three-dimensional modeling, obtain the theoretical model of positive-angle displacement planetary gear train;
(2) utilize the theoretical model obtaining in finite element analysis software step (1), the input parameter that input speed when positive-angle displacement planetary gear train moves and input torque calculate as finite element analysis software, calculates contact stress between the gear that has meshing relation in positive-angle displacement planetary gear train and the loading conditions of each gear; Be specially:
Each planet wheel is divided into two-part along teeth directional direction, a part for planet wheel and output inner gear engagement, form the first engagement component, another part of planet wheel and sun gear and fixed annulus engagement, form the second engagement component, calculate in the first engagement component the contact stress between planet wheel and output inner gear and the loading conditions of planet wheel and output inner gear, and calculate the contact stress between planet wheel and sun gear and planet wheel and fixed annulus in the second engagement component, calculate planet wheel simultaneously, the loading conditions of sun gear and fixed annulus,
(3) choosing planet wheel is correction of the flank shape object, adopt the method design positive-angle displacement planetary gear train correction of the flank shape scheme of axial modification, described correction of the flank shape scheme comprises the first engagement component correction of the flank shape scheme and the second engagement component scheme of practicing Buddhism or Taoism, described in the scheme of practicing Buddhism or Taoism by the curve of practicing Buddhism or Taoism, the length of practicing Buddhism or Taoism and the amount of practicing Buddhism or Taoism, determined;
The practice Buddhism or Taoism modification curve of scheme of the first engagement component correction of the flank shape scheme and the second engagement component is all set as parabola shaped, correction of the flank shape length is all set as planet wheel half facewidth length, the initial value of profiling quantity is empirical value, and the span of empirical value is: 2um~20um;
(4) utilize positive-angle displacement planetary gear train correction of the flank shape scheme definite in step (3) to simulate correction of the flank shape to the planet wheel in the first engagement component and the second engagement component, and calculate contact stress between the gear that has meshing relation in the first engagement component after practicing Buddhism or Taoism and the second engagement component and the loading conditions of each gear;
If the load that has contact stress between the gear of meshing relation and each gear in the first engagement component calculating and the second engagement component compare with the load that has contact stress between the gear of meshing relation and each gear in the first engagement component calculating in step (2) and the second engagement component all reduce by 10% or more than, in step (3), definite positive-angle displacement planetary gear train correction of the flank shape scheme is final correction of the flank shape scheme, enters step (5);
Otherwise positive-angle displacement planetary gear train correction of the flank shape scheme definite in step (3) is not final correction of the flank shape scheme, adjust respectively the first engagement component profiling quantity that scheme and the second engagement component practice Buddhism or Taoism in scheme of practicing Buddhism or Taoism, repeating step (3)~step (4), until the load that has contact stress between the gear of meshing relation and each gear in the first engagement component calculating and the second engagement component compare with the load that has contact stress between the gear of meshing relation and each gear in the first engagement component calculating in step (2) and the second engagement component all reduce by 10% or more than, now in step (3), definite positive-angle displacement planetary gear train correction of the flank shape scheme is final correction of the flank shape scheme,
(5) according to positive-angle displacement planetary gear train correction of the flank shape scheme definite in step (4), determine the Motion curves of roll flute emery wheel, and utilize roll flute emery wheel and lathe to carry out correction of the flank shape to planet wheel, described roll flute emery wheel is complementary with the tooth profile of design planet wheel;
(6) planet wheel after the correction of the flank shape in step (5) is completed carries out gear testing, obtains the difference between actual profiling quantity and theoretical profiling quantity, thereby determines the precision of correction of the flank shape processing;
(7) planet wheel and 1 sun gear, 1 output inner gear and 1 fixed annulus after n correction of the flank shape completed assembles, positive-angle displacement planetary gear train after being practiced Buddhism or Taoism, utilize actual load to test the positive-angle displacement planetary gear train after practicing Buddhism or Taoism, the positive-angle planetary gear train that positive-angle planetary gear train and the correction of the flank shape of not correction of the flank shape are completed continues contrast, calculates the size of positive-angle planetary gear train profiling quantity.
2. a kind of positive-angle displacement planetary gear train correction method according to claim 1, is characterized in that: the Three-dimensional Design Software in described step (1) is ProE.
3. a kind of positive-angle displacement planetary gear train correction method according to claim 1, is characterized in that: the finite element analysis software in described step (2) is Abaqus.
CN201410469994.1A 2014-09-15 A kind of positive-angle planet train correction method Expired - Fee Related CN104214281B (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CN201410469994.1A CN104214281B (en) 2014-09-15 A kind of positive-angle planet train correction method

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN201410469994.1A CN104214281B (en) 2014-09-15 A kind of positive-angle planet train correction method

Publications (2)

Publication Number Publication Date
CN104214281A true CN104214281A (en) 2014-12-17
CN104214281B CN104214281B (en) 2017-01-04

Family

ID=

Cited By (6)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN105893710A (en) * 2016-05-09 2016-08-24 西北工业大学 Method for calculating geometric return difference of NGWN planetary gear train
CN106934180A (en) * 2017-04-12 2017-07-07 济南大学 A kind of Optimization Design of high power density 2K H type planet circular systems
CN109312823A (en) * 2016-06-06 2019-02-05 国立大学法人横浜国立大学 The design program of epicyclic gearing and epicyclic gearing
CN109556841A (en) * 2017-09-26 2019-04-02 南京淳泰控制设备有限公司 A kind of satellite sun windsurfing driving mechanism acceleration driving equipment
CN110285203A (en) * 2019-06-12 2019-09-27 北京工业大学 A kind of harmonic speed reducer multi-tooth meshing load distributed model design method
US12007011B2 (en) * 2022-08-12 2024-06-11 General Electric Company Gearbox assembly

Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20030109355A1 (en) * 2001-12-10 2003-06-12 Allen Mark Anderson Multi-mesh gear system
JP2005188621A (en) * 2003-12-25 2005-07-14 Namiki Precision Jewel Co Ltd Modification gear, and geared motor device
US20080115610A1 (en) * 2006-11-21 2008-05-22 Deere & Company Tooth profile for a high contact ratio spur gear
JP2012152837A (en) * 2011-01-25 2012-08-16 Mitsubishi Heavy Ind Ltd Device and method for inputting and drawing modification of gear figure
CN104021303A (en) * 2014-06-19 2014-09-03 中国北方车辆研究所 Spiral bevel gear profiled tooth surface profiling method based on actual measurement load spectrum

Patent Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20030109355A1 (en) * 2001-12-10 2003-06-12 Allen Mark Anderson Multi-mesh gear system
JP2005188621A (en) * 2003-12-25 2005-07-14 Namiki Precision Jewel Co Ltd Modification gear, and geared motor device
US20080115610A1 (en) * 2006-11-21 2008-05-22 Deere & Company Tooth profile for a high contact ratio spur gear
JP2012152837A (en) * 2011-01-25 2012-08-16 Mitsubishi Heavy Ind Ltd Device and method for inputting and drawing modification of gear figure
CN104021303A (en) * 2014-06-19 2014-09-03 中国北方车辆研究所 Spiral bevel gear profiled tooth surface profiling method based on actual measurement load spectrum

Cited By (9)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN105893710A (en) * 2016-05-09 2016-08-24 西北工业大学 Method for calculating geometric return difference of NGWN planetary gear train
CN105893710B (en) * 2016-05-09 2019-02-22 西北工业大学 NGWN planetary gear train geometric lost motion calculation method
CN109312823A (en) * 2016-06-06 2019-02-05 国立大学法人横浜国立大学 The design program of epicyclic gearing and epicyclic gearing
US11181170B2 (en) 2016-06-06 2021-11-23 National University Corporation Yokohama National University Planetary gear device and planetary gear device design program
CN109312823B (en) * 2016-06-06 2022-01-28 国立大学法人横浜国立大学 Planetary gear device and computer storage medium storing design program thereof
CN106934180A (en) * 2017-04-12 2017-07-07 济南大学 A kind of Optimization Design of high power density 2K H type planet circular systems
CN109556841A (en) * 2017-09-26 2019-04-02 南京淳泰控制设备有限公司 A kind of satellite sun windsurfing driving mechanism acceleration driving equipment
CN110285203A (en) * 2019-06-12 2019-09-27 北京工业大学 A kind of harmonic speed reducer multi-tooth meshing load distributed model design method
US12007011B2 (en) * 2022-08-12 2024-06-11 General Electric Company Gearbox assembly

Similar Documents

Publication Publication Date Title
CN103678818B (en) Precise modeling method for biarc correction cycloidal gear
CN102063540B (en) Method for optimally designing machine tool body structure
CN104408241B (en) Finite element grid automatic generation method of profiling cylindrical gear
CN102489785B (en) A kind of pairing modeling based on discrete data helical gear and processing method
CN106493439B (en) A kind of spiral bevel gear tooth top chamfering method based on material contact analysis
CN108253094B (en) A kind of RV retarder cycloidal-pin wheel carrying meshing mark determines method and device
CN108331899A (en) A kind of RV retarders cycloid gear profile modification design method and system
CN103252687A (en) Wheel groove finish broach tooth profile numerical control grinding process
CN110008594A (en) A kind of Gear Planet Transmission herringbone bear finite element grid automatic modeling and assembly method
CN105223814A (en) Involute gear formed grinding wheel computing method
WO2014051665A1 (en) Method of modifying gear profiles
CN110674558A (en) Noise reduction and shape modification optimization method for traction gear of high-speed motor train unit
CN108052763A (en) A kind of Cycloid tooth profile profiling quantity optimization method based on genetic algorithm
CN106295015B (en) A kind of profile modification method of involute spur gear pair and special parameters CAD system matched with its
CN102581384B (en) Gear shaping method based on equal cutting area
CN112395698A (en) Hollow blade blank calculation method capable of realizing hollow structure design
CN110083939B (en) Pure electric vehicle differential gear modification optimization method
Liang et al. Mathematical model and meshing analysis of internal meshing gear transmission with curve element
CN105156634B (en) The optimization method of Involute Spur Gear correction of the flank shape
CN104214281A (en) Modification method for planetary gear trains with positive addendum modification
CN104214281B (en) A kind of positive-angle planet train correction method
CN103778308A (en) Topology compensation fuzzy optimization design method of allowance-free cold rolling processing die of vane
CN115034021A (en) Gear machining machine tool design method and device based on shape-producing wheel and medium
CN104608008B (en) A kind of acquisition methods of lathe main power system load loss coefficient
CN110630719A (en) Differential gear modification optimization method

Legal Events

Date Code Title Description
C06 Publication
PB01 Publication
C10 Entry into substantive examination
SE01 Entry into force of request for substantive examination
C14 Grant of patent or utility model
GR01 Patent grant
CP01 Change in the name or title of a patent holder

Address after: 100190 Zhichun Road, Haidian District, Beijing, No. 63

Patentee after: BEIJING SATELLITE MANUFACTURING FACTORY Co.,Ltd.

Address before: 100190 Zhichun Road, Haidian District, Beijing, No. 63

Patentee before: BEIJING SATELLITE MANUFACTURING FACTORY

CP01 Change in the name or title of a patent holder
CF01 Termination of patent right due to non-payment of annual fee

Granted publication date: 20170104