CN107256282A - A kind of RV Key Part of Cycloid Cam Planetary Speed Reducer profile modification methods compensated based on deformation quantity - Google Patents
A kind of RV Key Part of Cycloid Cam Planetary Speed Reducer profile modification methods compensated based on deformation quantity Download PDFInfo
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- CN107256282A CN107256282A CN201710315446.7A CN201710315446A CN107256282A CN 107256282 A CN107256282 A CN 107256282A CN 201710315446 A CN201710315446 A CN 201710315446A CN 107256282 A CN107256282 A CN 107256282A
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Abstract
The invention discloses a kind of RV Key Part of Cycloid Cam Planetary Speed Reducer profile modification methods compensated based on deformation quantity, it is related to design and the manufacture field of RV Key Part of Cycloid Cam Planetary Speed Reducer.The present invention three kinds of traditional correction methods determine in correction of the flank shape flank profil, using cycloidal profile in the flank profil that the extrusion deformation degree during real-world operation compensates backswing line gear as profiling quantity, more meet RV decelerators and apply cycloid gear profile correction of the flank shape in the case of high-accuracy, high capacity, the driving error of RV decelerators in high load situations can be further eliminated, decelerator rigidity is improved.The present invention includes following steps:Step one:Cycloidal profile M is obtained using three kinds of traditional correction methods;Step 2:Force analysis is carried out to cycloidal pinion engaged pair, and calculates cycloidal profile flank profil deformation quantity;Step 3:Compensated back deformation quantity as profiling quantity in cycloidal profile M, obtain final correction of the flank shape profile.
Description
Technical field
The present invention relates to the design of RV Key Part of Cycloid Cam Planetary Speed Reducer with manufacture field, specifically refer to it is a kind of based on deformation quantity compensate
RV Key Part of Cycloid Cam Planetary Speed Reducer profile modification methods.
Background technology
RV decelerators are a kind of little gear difference planetary driving mechanisms of secondary seal formula.With small volume, lightweight, carrying energy
Power is strong, gearratio is big, long lifespan, high precision the advantages of, obtained at present in the precision drive such as industrial robot field extensively should
With.
Cycloidal pinion engaged pair is the core component of RV decelerators.Theoretic conjugate profiles does not have radial clearance, in order to
Ensure the compensation of smooth-going, the formation of lubricating oil film, convenient disassembly and the foozle of engagement, all can be in cycloid gear and pin tooth
Between design certain gap, so, the cycloid gear in actual use is all cycloid gear after correction of the flank shape, theory pendulum
Line flank profil cannot directly apply to production.
At home in current production practices, although the correction of the flank shape of cycloid gear generally uses modification of equidistance method, modification of moved distance
The combination of method, modification of rotated angle method these three traditional correction methods.Document [1] is detailed using biography using RV320 decelerators as example
The optimal amount of practicing Buddhism or Taoism that correction method of uniting carries out correction of the flank shape to Cycloidal Wheel solves method.Go deep into to cycloid gear Meshing Pair research
With the continuous improvement required its transmission accuracy, some more efficient correction methods also continuously emerge.Existing Chinese registered patent
No. 201310736325.1 " determination of cycloidal gear of gerotor motor scope and modification curve ", the patent proposes one kind with
It is constraints that uniform radial clearance, radius of curvature, which are seamlessly transitted etc., and it is object function to improve volumetric efficiency and mechanical efficiency
Modification curve determines method.Existing No. 201310521427.1 " profile correction of the flank shape of cycloidal gear of cycloid motor of state's registered patent
Method ", the patent proposes only to carry out according to theoretical correction of the flank shape function to being located at the region between tooth top and tooth root on Cycloid tooth profile
Correction of the flank shape in the case where ensuring the gas of Cycloidal Wheel and the smooth engagement of stator, can effectively improve volumetric efficiency, the machine of cycloid hydraulic motor
The performance parameter such as tool efficiency and pressure rating.But these correction methods are not all accounted for when cycloidal pinion engaged pair is driven
Stress and deformation, particularly in the application of RV decelerators in high-load situations, this, stress and deformation when cycloidal pinion engaged pair is driven
The steady and transmission accuracy of transmission will be had a strong impact on.
Above-mentioned document [1] is
[1] Zhao Zheng industrial robots decelerator RV320 profile modifying parameters optimization and technique Journal of Sex Research [D] University Of Tianjin,
2013.
The content of the invention
In view of the above-mentioned drawbacks of the prior art and not enough, the present invention provides a kind of RV decelerations compensated based on deformation quantity
Device Cycloid tooth profile correction method.The method be three kinds of traditional correction methods determine in correction of the flank shape flank profil, cycloidal profile is existed
Extrusion deformation degree during real-world operation is compensated as profiling quantity in the flank profil of backswing line gear.
Technical solution of the present invention is as follows:
Step one:Cycloid tooth is obtained using modification of equidistance method, modification of moved distance method, the traditional correction method of three kinds of modification of rotated angle method
Wide M;
Step 2:Force analysis is carried out to cycloidal pinion engaged pair, and calculates the deformation quantity in the flank profil of Cycloidal Wheel half;
Step 3:Compensated back deformation quantity as profiling quantity in cycloidal profile M, obtain final correction of the flank shape profile.
The step one is specially to set up Optimized model, brings decelerator parameter into, solves and obtains suitable modification of equidistance amount
ΔrrpWith modification of moved distance amount Δ rp, gained cycloidal profile is designated as M.M its parametric equation is:
In formula:iH=zb/zg、K′1=ezb/(rp+Δrp)
rp- centre circle of gear pins radius;K′1-- curtate ratio after correction of the flank shape;δ -- modification of rotated angle amount;-- pivoted arm is with respect to pin tooth
The corner at center;E-- eccentric throws;zb-- pin tooth number.
The step 2 is specially:
1) stress maximum tooth Γ maximum load F is calculatedmax
Fig. 1 is cycloid gear force analysis figure.When transmitting load, torque T is applied to Cycloidal Wheel, due to Cycloidal Wheel and pin tooth
Juxtaposition metamorphose, Cycloidal Wheel rotate a minute angle, be set to β, then at each meshing point of Cycloidal Wheel along along common normal direction
Deflection is:
δi=liβ (i=1,2 ... .Zb/2) (2)
liFor the distance at Cycloidal Wheel center to the common normal of i-th of pin tooth meshing point;Zb-- pin tooth number.
rc-- cycloid gear pitch radius;θi-- pivoted arm ObOcAngle between the common normal of i-th of pin tooth meshing point;
-- pivoted arm ObOcRelative to the corner of pin tooth;K1-- curtate ratio.
It is assumed that each tooth stress FiThe deformation quantity of the contact with respective needle tooth δi(liβ) linear proportional relation, wherein, when pin tooth
lmax=rcWhen, Γ with teeth is by maximum load Fmax, the power acted on other i-th of pin teeth is:
Fi--The i-th tooth stress at angle;Tx-- torque in single Cycloidal Wheel, due to two Cycloidal Wheel unbalance stress, often take
Tx=0.55T;Zc-- the Cycloidal Wheel number of teeth;T-- transmits moment of torsion;Rz-- centre circle of gear pins radius.
2) pin tooth largest deformation δ is calculatedmax
In traditional planet-cycloid reducer, stand under load total deformation includes pin tooth bending deformation quantity and cycloidal profile contact becomes
Shape amount, because RV decelerators are using toothing is partly buried, pin tooth is nearly free from bending, therefore ignores the Bending Deformation of pin tooth herein
fmax, i.e. fmax=0.In FmaxUnder effect, the contact deformation W in meshing point common normal directionmaxIt is exactly total stress and deformation δmax, then
Just have:
δmax=Wnax+fmax=Wmax (6)
Contact of the pin tooth with cycloid gear contacts for pure rolling, therefore herein defines the contact type of pin tooth and cycloid gear
Rolled for two cylinder contacts, then their deformation calculation formula:
Poisson's ratio between μ -- Cycloidal Wheel and pin teeth material;Modulus of elasticity between E-- Cycloidal Wheels and pin teeth material;b--
The effective width (mm) of Cycloidal Wheel;rz-- pin tooth radius;ρ -- Cycloidal Wheel existsThe profile radius of curvature at place;
ρ is timing, represents flank profil evagination herein, when ρ is bears, and represents that flank profil is indent at this;Zb-- the Cycloidal Wheel number of teeth.
Simultaneous formula (1)~(8), bring the relevant parameter of RV decelerators into, can be in the hope of maximum load Fmax, pin tooth maximum shape
Become δmax。
3) each point juxtaposition metamorphose δ in the flank profils of stress maximum tooth Γ half is calculatedi
Simultaneous formula (1), (2), (3) can be obtained;:
Because cam axle one is enclosed, cycloid gear turns over a pin tooth.Due to the symmetric relation of Cycloidal Wheel, only need herein
The each point contact deformation in the flank profil of Cycloidal Wheel half is calculated, so pivoted arm camshaft degreeTake 0~180 °.
The step 3 is specially:
Each point contact deformation quantity is the deformation quantity in stress point normal direction in half flank profil required by step 2.Decomposed
For compensation profiling quantity of the transverse and longitudinal coordinate value as respective point, traditional modification curve M is compensated, i.e., by formula (10) decompose after with
Formula (1) simultaneous practiced Buddhism or Taoism after tooth profile equation co-ordinate-type
Relative to prior art, the present invention considers contact deformation of the cycloidal pinion engaged pair in transmission process,
And compensate contact deformation quantity in the flank profil of backswing line gear as profiling quantity.More meet RV decelerators to apply in high-accuracy, height
Cycloid gear profile correction of the flank shape in the case of load, can further eliminate the driving error of RV decelerators in high load situations,
Improve decelerator rigidity.
Brief description of the drawings
Fig. 1 is the program flow diagram of the correction method of the present invention.
Fig. 2 is the force analysis figure of standard tooth form Cycloidal Wheel.
Fig. 3 is the profile contact deflection curves of RV40E half.
Embodiment
The present invention will be further described with reference to the accompanying drawings and examples for figure, and the present embodiment should not be regarded as to the present invention
Restriction.
The present embodiment is by taking RV40E cycloidal pin teeth Meshing Pair as an example, and its basic parameter is:
Rz=64;Zp=40;zg=39;E=1.3;rz=3.
Step one:Cycloidal profile M is obtained using three kinds of traditional correction methods
According to document [1] methods described, solve and obtain suitable modification of equidistance amount Δ rrp=-0.105 and modification of moved distance amount
Δrp=-0.12
Step 2:Force analysis is carried out to cycloidal pinion engaged pair, and calculates cycloidal profile flank profil deformation quantity
1) the maximum load F of stress maximum tooth is calculatedmax
Assuming that RV decelerators are operated under nominal torque, T=412Nm.Try to achieve Fmax=446.943N
2) pin tooth largest deformation δ is calculatedmax
Try to achieve pin tooth largest deformation δmax=4.06um
3) each point juxtaposition metamorphose δ in the flank profil of stress maximum tooth half is calculatedi
Because cam axle one is enclosed, cycloid gear turns over a pin tooth.Due to the symmetric relation of Cycloidal Wheel, only need herein
The each point contact deformation in the flank profil of Cycloidal Wheel half is calculated, so pivoted arm camshaft degreeTake 0~180 °.Obtain Cycloidal Wheel pin
The juxtaposition metamorphose of half flank profil each point is as shown in figure 3, largest deformation δ when tooth is engagedmaxFor 4.06um.
Step 3:Compensated back deformation quantity as profiling quantity in cycloidal profile M, obtain final correction of the flank shape profile.
The present invention proposes a kind of RV decelerators compensated based on deformation quantity by the force analysis to cycloidal pinion engaged pair
Cycloid tooth profile correction method.The shadow of contact deformation of the cycloidal pinion engaged pair in transmission process is fully taken into account
Ring, and as in the flank profil of profiling quantity compensation backswing line gear.More meet RV decelerators to apply high-accuracy, high capacity
In the case of cycloid gear profile correction of the flank shape.
As described above, the present invention can be better realized.
Embodiments of the present invention are simultaneously not restricted to the described embodiments, other any Spirit Essences without departing from the present invention
With the change made under principle, modification, replacement, combine, simplify, should be equivalent substitute mode, be included in the present invention
Within protection domain.
Claims (3)
1. a kind of RV Key Part of Cycloid Cam Planetary Speed Reducer profile modification methods compensated based on deformation quantity, it is characterised in that:Comprise the following steps:
Step one:Cycloidal profile M is obtained using modification of equidistance method, modification of moved distance method, the traditional correction method of three kinds of modification of rotated angle method;
Step 2:Force analysis is carried out to cycloidal pinion engaged pair, and calculates the deformation quantity in the flank profil of Cycloidal Wheel half;
Step 3:Compensated back deformation quantity as profiling quantity in cycloidal profile M, obtain final correction of the flank shape profile.
2. the RV Key Part of Cycloid Cam Planetary Speed Reducer profile modification methods compensated according to claim 1 based on deformation quantity, it is characterised in that:
Force analysis is carried out described in step 2 to cycloidal pinion engaged pair, and calculates the deformation quantity in the flank profil of Cycloidal Wheel half, it has
Body includes three below step:
(1) stress maximum tooth Γ maximum load F is calculatedmax
(2) pin tooth largest deformation δ is calculatedmax
(3) each point juxtaposition metamorphose δ in the flank profils of stress maximum tooth Γ half is calculatedi。
3. the RV Key Part of Cycloid Cam Planetary Speed Reducer profile modification methods compensated according to claim 1 based on deformation quantity, it is characterised in that:
Being compensated back deformation quantity as profiling quantity in cycloidal profile M described in step 3, obtains final correction of the flank shape profile, specific as follows:
Each point contact deformation quantity in half flank profil required by step 2 is decomposed into transverse and longitudinal coordinate for the deformation quantity in stress point normal direction
It is worth the compensation profiling quantity as respective point, traditional modification curve M is compensated, final correction of the flank shape profile is obtained.Its profile is bent
Line parametric Equations are:
In formula:iH=zb/zg、K′1=ezb/(rp+Δrp)、
rp-- centre circle of gear pins radius;
K′1-- curtate ratio after step one correction of the flank shape;
δ -- modification of rotated angle amount;
Δrrp-- the equidistant amount of practicing Buddhism or Taoism;
Δrp-- move away from the amount of practicing Buddhism or Taoism;
-- corner of the pivoted arm with respect to Zhen Chi centers;
E-- eccentric throws;zb-- pin tooth number;
rc-- cycloid gear pitch radius;
θ -- pivoted arm ObOcAngle between the common normal of pin tooth meshing point;
-- pivoted arm ObOcRelative to the corner of pin tooth;
K1-- curtate ratio.
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Cited By (15)
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CN108050212A (en) * | 2018-01-11 | 2018-05-18 | 武汉市精华减速机制造有限公司 | Compact-sized cycloid reducer |
CN108253115A (en) * | 2017-12-11 | 2018-07-06 | 广州市昊志机电股份有限公司 | A kind of method that the form of cycloidal gear tooth is obtained based on pinwheel tooth profiling quantity |
CN108253094A (en) * | 2018-01-17 | 2018-07-06 | 河南科技大学 | A kind of RV retarders cycloidal-pin wheel carrying meshing mark determines method and device |
CN108331899A (en) * | 2017-12-29 | 2018-07-27 | 河南科技大学 | A kind of RV retarders cycloid gear profile modification design method and system |
CN108361365A (en) * | 2017-11-28 | 2018-08-03 | 中车戚墅堰机车车辆工艺研究所有限公司 | A kind of Cycloidal pin-wheel drive meshing state compensation method containing mismachining tolerance |
CN108620691A (en) * | 2018-03-21 | 2018-10-09 | 湖北工业大学 | A kind of Cycloid tooth profile correction method and Cycloidal Wheel, RV retarders |
CN108662115A (en) * | 2018-05-23 | 2018-10-16 | 湖北工业大学 | Cycloid tooth profile correction of the flank shape multi-objective optimization design of power method |
CN108730480A (en) * | 2018-07-27 | 2018-11-02 | 河南科技大学 | A kind of Cycloidal Wheel and its reverse active correction method of flank profil of RV retarders |
CN108856910A (en) * | 2018-08-21 | 2018-11-23 | 中车大连机车车辆有限公司 | A kind of method and device of polishing gear edge by use |
CN108897910A (en) * | 2018-05-29 | 2018-11-27 | 湖北工业大学 | The calculation method of Cycloidal Wheel equivalent torsional stiffness in a kind of RV retarder |
CN109307054A (en) * | 2018-01-23 | 2019-02-05 | 华南理工大学 | A kind of segmentation correction method of RV Key Part of Cycloid Cam Planetary Speed Reducer and its flank profil |
WO2019136857A1 (en) * | 2018-01-12 | 2019-07-18 | 大连民族大学 | Cycloid tooth profile general equation design method based on tooth profile normal method |
CN111639293A (en) * | 2020-05-25 | 2020-09-08 | 济南大学 | Method for calculating tooth profile curvature radius of cycloidal gear at needle tooth meshing position of cycloidal gear |
CN111881529A (en) * | 2020-07-27 | 2020-11-03 | 大连交通大学 | RV reducer main shaft bearing force analysis and calculation method for robot |
CN112747101A (en) * | 2020-12-29 | 2021-05-04 | 华南理工大学 | Tooth shape design method for double-arc tooth profile harmonic reducer |
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CN108361365B (en) * | 2017-11-28 | 2020-02-04 | 中车戚墅堰机车车辆工艺研究所有限公司 | Cycloid pin gear transmission meshing state compensation method containing machining errors |
CN108253115A (en) * | 2017-12-11 | 2018-07-06 | 广州市昊志机电股份有限公司 | A kind of method that the form of cycloidal gear tooth is obtained based on pinwheel tooth profiling quantity |
CN108331899A (en) * | 2017-12-29 | 2018-07-27 | 河南科技大学 | A kind of RV retarders cycloid gear profile modification design method and system |
CN108050212A (en) * | 2018-01-11 | 2018-05-18 | 武汉市精华减速机制造有限公司 | Compact-sized cycloid reducer |
WO2019136857A1 (en) * | 2018-01-12 | 2019-07-18 | 大连民族大学 | Cycloid tooth profile general equation design method based on tooth profile normal method |
CN108253094A (en) * | 2018-01-17 | 2018-07-06 | 河南科技大学 | A kind of RV retarders cycloidal-pin wheel carrying meshing mark determines method and device |
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CN109307054B (en) * | 2018-01-23 | 2023-11-03 | 华南理工大学 | RV reducer cycloidal gear and tooth profile sectional shape modification method thereof |
CN108620691A (en) * | 2018-03-21 | 2018-10-09 | 湖北工业大学 | A kind of Cycloid tooth profile correction method and Cycloidal Wheel, RV retarders |
CN108662115B (en) * | 2018-05-23 | 2020-08-04 | 湖北工业大学 | Multi-objective optimization design method for profile modification of cycloidal gear tooth profile |
CN108662115A (en) * | 2018-05-23 | 2018-10-16 | 湖北工业大学 | Cycloid tooth profile correction of the flank shape multi-objective optimization design of power method |
CN108897910A (en) * | 2018-05-29 | 2018-11-27 | 湖北工业大学 | The calculation method of Cycloidal Wheel equivalent torsional stiffness in a kind of RV retarder |
CN108730480A (en) * | 2018-07-27 | 2018-11-02 | 河南科技大学 | A kind of Cycloidal Wheel and its reverse active correction method of flank profil of RV retarders |
CN108856910A (en) * | 2018-08-21 | 2018-11-23 | 中车大连机车车辆有限公司 | A kind of method and device of polishing gear edge by use |
CN111639293A (en) * | 2020-05-25 | 2020-09-08 | 济南大学 | Method for calculating tooth profile curvature radius of cycloidal gear at needle tooth meshing position of cycloidal gear |
CN111639293B (en) * | 2020-05-25 | 2022-05-20 | 济南大学 | Method for calculating tooth profile curvature radius of cycloidal gear at pin tooth meshing position of cycloidal gear |
CN111881529A (en) * | 2020-07-27 | 2020-11-03 | 大连交通大学 | RV reducer main shaft bearing force analysis and calculation method for robot |
CN111881529B (en) * | 2020-07-27 | 2023-06-20 | 大连交通大学 | RV reducer main shaft bearing capacity analysis and calculation method for robot |
CN112747101A (en) * | 2020-12-29 | 2021-05-04 | 华南理工大学 | Tooth shape design method for double-arc tooth profile harmonic reducer |
CN112747101B (en) * | 2020-12-29 | 2022-07-26 | 华南理工大学 | Tooth shape design method for double-arc tooth profile harmonic reducer |
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