CN105626816B - One kind is single-row to subtract speed change integration Cylinder Sine oscillating tooth mechanism - Google Patents

One kind is single-row to subtract speed change integration Cylinder Sine oscillating tooth mechanism Download PDF

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CN105626816B
CN105626816B CN201610055847.9A CN201610055847A CN105626816B CN 105626816 B CN105626816 B CN 105626816B CN 201610055847 A CN201610055847 A CN 201610055847A CN 105626816 B CN105626816 B CN 105626816B
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shock wave
wave device
oscillating tooth
centre wheel
profile curve
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CN105626816A (en
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刘大伟
张凯
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Bengbu Jingtu Intelligent Technology Co., Ltd
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Yanshan University
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    • 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
    • F16H49/00Other gearings
    • F16H49/001Wave gearings, e.g. harmonic drive transmissions

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Abstract

One kind is single-row to subtract speed change integration Cylinder Sine oscillating tooth mechanism, one end of input shaft extends to the outside of drive end bearing bracket, it is connected with prime mover, the other end of input shaft is plugged on the middle part of shock wave device, the outer raceway flank profil of shock wave device on the inside of oscillating tooth with connecting, oscillating tooth is located in the axial channel of oscillating tooth gear by pin, bearing A is equipped between shock wave device and oscillating tooth gear, on input shaft, at neighbouring bearing A, it is socketed circlip A, the outside of oscillating tooth connects with the outer raceway flank profil of centre wheel, the side of centre wheel passes through rear end cap, it is connected with working machine, and shock wave device, oscillating tooth gear and centre wheel are each provided in babinet, bearing B is equipped between centre wheel and babinet, on input shaft, at neighbouring bearing B, it is socketed circlip B, babinet two sides opening, two sides respectively with front end face, rear end face is connected.The present invention shortens driving-chain to greatest extent, improves transmission efficiency and reliability, and the number of teeth for participating in engaging is more, and rigidity is big, large carrying capacity, stable drive.

Description

One kind is single-row to subtract speed change integration Cylinder Sine oscillating tooth mechanism
The present invention relates to variable ratio transmission field for technical field.
Background technology proposes machine driven system higher and higher want with the development and the progress of science and technology of production Ask.And conventional be at the uniform velocity driven has been difficult to the requirement for meeting system, therefore works out and wanted suitable for development such as new technology, new equipments The desired transmission device asked, has become the more and more important development trend of mechanical transmission fields.
In numerous gear ratio mechanisms, for non-circular gear, its pitch curve shape is specially designed according to movement needs, because This can realize the accurate non-uniform movement of two between centers.Compared with other are non-at the uniform velocity than the mechanism of transmission, such as cam and connecting rod Mechanism, it accurately can be designed and manufactured by the characteristics of motion with clear advantage, such as noncircular gear pair, and kinematic accuracy is high; The non-circular gear of pitch curve closing can obtain periodic variable ratio transmission;And it is with compact-sized, it is easy to accomplish dynamic The advantages that balance.But its fabricate it is complicated, it is of high cost, and non-circular gear in order to avoid direct with high-revolving prime mover phase Even, it can use and be used cooperatively with cylinder gear speed reducer, therefore driving-chain can be caused tediously long so that efficiency reduces.
Mobile tooth and small tooth difference Planetary Gear Transmission abbreviation Oscillating Tooth Gear Reducer, be it is a kind of be used for transmit two machines between centers rotary motion The advantages that tool is driven, it has, and drive mechanism is compact, gear range is wide, large carrying capacity, transmission efficiency.It is 1999, old Will with et al.《Mechanical engineering journal》, 35 (1):Variable ratio transmission is simplified into linear movement and sinusoidal motion in 30-33 texts Superposition, it is proposed that the design method of non-at the uniform velocity oscillating tooth mechanism, the composition of the oscillating tooth mechanism is identical with common oscillating tooth mechanism, is all By shock wave device, oscillating tooth gear, centre wheel and oscillating tooth composition, by controlling the profile geometry of shock wave device and centre wheel to realize, gear ratio passes It is dynamic, but the Transmission Function simplified cannot fully meet non-uniform movement requirement complicated and changeable in actual production.Liu great Wei etc. People was in 2014《Mechanical engineering journal》, 50 (1):It is theoretical that non-circular gear is used for reference in 47-54 texts, it is proposed that non-at the uniform velocity push-rod oscillating tooth The flank profil of mechanism, wherein shock wave device employs helical line function, and the tooth curve of centre wheel is determined by gearratio, it can be achieved that the multicycle The transmission effect of non-circular gear.Its deficiency is:Need to be used in series with reducing gear during use, oscillating tooth machine can not have been given play to Structure big retarding than characteristic.
The content of the invention is not required to combine with reducing gear the object of the present invention is to provide one kind, and can realize axial shock wave It is single-row to subtract speed change integration Cylinder Sine oscillating tooth mechanism.
The invention mainly comprises shock wave device, oscillating tooth gear, centre wheel, input shaft, output shaft, bearing A, bearing B, circlip A, circlip B, babinet, drive end bearing bracket, rear end cap and oscillating tooth, wherein, one end of input shaft extends to the outside of drive end bearing bracket, with original Motivation is connected, and the other end of input shaft is plugged on the middle part of shock wave device, the outer raceway flank profil of shock wave device with connecting on the inside of oscillating tooth, Oscillating tooth is located in the axial channel of oscillating tooth gear by pin, and bearing A is equipped between shock wave device and oscillating tooth gear, on input shaft, At neighbouring bearing A, circlip A is socketed.The outside of oscillating tooth connects with the outer raceway flank profil of centre wheel, and the side of centre wheel passes through Rear end cap, is connected with working machine, and above-mentioned shock wave device, oscillating tooth gear are identical with the axis of centre wheel, and shock wave device, oscillating tooth gear and center Wheel is each provided in babinet, and bearing B is equipped between centre wheel and babinet, on input shaft, at neighbouring bearing B, is socketed elasticity gear Enclose B.Babinet two sides opening, two sides are connected with front end face, rear end face respectively.
Geometric parameter:The maximum number of oscillating tooth rotates a circle gearratio i for shock wave deviceHKThe periodicity m of change1, m1To be big In 1 positive integer, and meet equation ZK=m1+ 1, wherein ZKCentered on the number of teeth taken turns, the number of oscillating tooth corresponds to the guide groove of oscillating tooth gear Number, and be uniformly distributed in a circumferential direction.
The rectangular equation of shock wave device theoretic profile curve is
In formula, xH、yH、zH--- the rectangular co-ordinate of shock wave device theoretic profile curve;
--- shock wave device corner;
nH--- the periodicity of shock wave device theoretic profile curve;
E --- shock wave device axial direction shock wave amplitude;
The radius on cylindrical surface where R --- shock wave device theoretic profile curve.
The rectangular equation of centre wheel theoretic profile curve is
In formula, xK、yK、zK--- the rectangular co-ordinate of centre wheel theoretic profile curve;
iHKFor resultant gear ratio;
--- shock wave device corner;
nH--- the periodicity of shock wave device theoretic profile curve;
E --- shock wave device axial direction shock wave amplitude;
The radius on cylindrical surface where R --- shock wave device theoretic profile curve;
--- centre wheel corner;
nK--- the periodicity of centre wheel theoretic profile curve.
The rectangular equation of shock wave device practical tooth curved surface is
In formula, xGH、yGH、zGH--- the rectangular co-ordinate of shock wave device practical tooth curved surface;
R is oscillating tooth radius;
--- shock wave device corner;
nH--- the periodicity of shock wave device theoretic profile curve;
E --- shock wave device axial direction shock wave amplitude;
The radius on cylindrical surface where R --- shock wave device theoretic profile curve;
U, v --- spherical equation parameter.
The rectangular equation of centre wheel practical tooth curved surface is
In formula, xGK、yGK、zGK--- the rectangular co-ordinate of centre wheel practical tooth curved surface,
R is oscillating tooth radius;
--- centre wheel corner;
U, v --- spherical equation parameter;
E --- shock wave device axial direction shock wave amplitude;
The radius on cylindrical surface where R --- shock wave device theoretic profile curve;
nH--- the periodicity of shock wave device theoretic profile curve.
Continuous transmission is realized to enable to subtract speed change integration Cylinder Sine Oscillating Tooth Gear Reducer, its resultant gear ratio iHKIt should meetI in formulajFor the speed reducing ratio of mechanism, iHKFor resultant gear ratio,For shock wave device corner, and The radius r of its oscillating tooth should be necessarily less than or the minimum profile curvature radius equal to theoretic profile curve, i.e. r≤ρmin.In order to reduce shock wave Device, centre wheel contacted with oscillating tooth between abrasion, bearing can be installed on shock wave device and centre wheel, thus effectively reduce oscillating tooth with Abrasion between flank profil.
In the use of the present invention, making shock wave device be connected with prime mover, after driving moment clockwise is applied to shock wave device, swash Ripple device is with constant angular velocity ωHRotate clockwise, so that oscillating tooth is subject to the axial thrust produced by shock wave device flank profil, force with The oscillating tooth of heart tooth profile engagement does linear relative movement along the axial channel of oscillating tooth gear.At the same time, in being subject to due to oscillating tooth The constraint of heart tooth profile, oscillating tooth gear axial channel, along in shock wave device raceway and the motion process of oscillating tooth gear axial channel, pushes away Dynamic centre wheel is with ωKRotate, since flank profil is derived according to shock wave device outer teeth profile and gearratio in centre wheel, so defeated Shaft can have the gearratio for subtracting speed change feature to be rotated according to given.It is achieved thereby that axial shock wave subtracts speed change biography It is dynamic.
Compared with existing mechanism, the present invention has following features:
(1) compared with constant speed oscillating tooth mechanism, on the premise of any component is not increased, realize and slow down and speed change integration biography It is dynamic, so as to shorten driving-chain to greatest extent, improve transmission efficiency and reliability.
(2) compared with non-circular gear, subtract that speed change integration Cylinder Sine oscillating tooth mechanism is easily manufactured, its tooth form is relatively not rounded Gear is simply many, and the number of teeth for simultaneously participating in engagement is more, and rigidity is big, large carrying capacity, stable drive.
(3) compared with general oscillating tooth gear, it is with self-balancing, the characteristics of axial shock wave.
Brief description of the drawings
Fig. 1 is the structure diagram of the present invention;
Fig. 2 is mechanism resultant gear ratio curve;
Fig. 3 is the theoretic profile curve of shock wave device;
Fig. 4 is the theoretic profile curve of centre wheel;
Fig. 5 is the practical tooth curved surface of shock wave device;
Fig. 6 is the practical tooth curved surface of centre wheel;
Fig. 7 is the installation diagram of the present invention.
In above-mentioned attached drawing, 1, input shaft, 2, drive end bearing bracket, 3, shock wave device, 4, oscillating tooth, 5, centre wheel, 6, bearing B, 7, bullet Property baffle ring B, 8, oscillating tooth gear, 9, rear end cap, 10, babinet, 11, bearing A, 12 circlip A.
For specific implementation method in the simplified schematic diagram that Fig. 1 to Fig. 7 is the present invention, one end of input shaft 1 extends to drive end bearing bracket 2 outside, is connected with prime mover, and the other end of input shaft is plugged on the middle part of shock wave device 3, the outer raceway flank profil of shock wave device and work The inner side of tooth 4 connects, and oscillating tooth is located at by pin in the axial channel of oscillating tooth gear 5, and axis is equipped between shock wave device and oscillating tooth gear A6 is held, on input shaft, at neighbouring bearing A, is socketed circlip A7.The outside of oscillating tooth and the outer raceway flank profil phase of centre wheel 8 Connecing, the side of centre wheel passes through rear end cap 9, is connected with working machine, and above-mentioned shock wave device, oscillating tooth gear are identical with the axis of centre wheel, And shock wave device, oscillating tooth gear and centre wheel are each provided in babinet 10, bearing B11 is equipped between centre wheel and babinet, in input shaft On, at neighbouring bearing B, it is socketed circlip B12.Babinet two sides opening, two sides are connected with front end face, rear end face respectively. Constituting can realize that the single-row of axial shock wave subtracts speed change integration cylinder oscillating tooth mechanism.To realize the biography of high order elliptic gear Exemplified by dynamic ratio, illustrate the concrete scheme for subtracting speed change integration rolling free gear mechanism.
Table 1 subtracts speed change integration Cylinder Sine Oscillating Tooth Gear Reducer parameter
Parameter Numerical value Parameter Numerical value
Speed reducing ratio ij 4 Ball oscillating tooth radius r/mm 4
The periodicity n of transmission ratio functiong 3 Raceway radius r1/mm 4.4
The parameter ε of transmission ratio function 0.1 Shock wave device theoretic profile curve cycle number nH 1
Theoretic profile amplitude e/mm 4 Centre wheel theoretic profile curve cycle number nK 4
Theoretic profile sweep R/mm 25
First, using the axial direction of input shaft as z-axis direction, it is radially x, the direction of y-axis, establishes rectangular coordinate system, according to sharp Theoretic profile curvilinear equation (1) formula and shock wave device practical tooth surface equation (3) formula of ripple device, and the parameter in table 1 is brought into, Theoretic profile curve and practical tooth curved surface rectangular co-ordinate data can be obtained, and Fig. 2 can be obtained according to obtained data Shown theoretic profile curve and the practical tooth curved surface shown in Fig. 3, so as to establish the outer raceway flank profil of shock wave device, table 2 provides The partial rectangular coordinate values of shock wave device theoretic profile curve.
2 shock wave device theoretic profile curve data of table
Then, according to by the gearratio to be realizedWherein ijFor speed reducing ratio, ib For gear ratio, the periodicity by the shock wave device theoretic profile curve provided in table 1 is 1, and the periodicity of transmission ratio function is 3, in The periodicity of heart wheel theoretic profile curve is 4, and the speed reducing ratio i of whole mechanism can be obtained by the derivation of equationj=z2/z1=z2 =m1+ 1=4.And by given parameter ε=1, the changing rule of resultant gear ratio can be obtained, as shown in Fig. 2, being given in table 3 The partial data of resultant gear ratio curve.
3 resultant gear ratio curve data of table
Finally, it is bent by theoretic profile equation (2) formula of centre wheel and the practical tooth of centre wheel under the same coordinate system Face equation (4) formula, the centre wheel practical tooth that similarly can obtain shown in centre wheel theoretic profile curve and Fig. 6 shown in Fig. 4 are bent Face, so as to establish the interior raceway flank profil of centre wheel, and gives the partial data of centre wheel theoretic profile curve in table 4.
4 centre wheel theoretic profile curve data of table
The number of oscillating tooth is 3, is equally provided with 3 axial channels on the oscillating tooth wheel sleeve that cross sectional shape is annulus, and When mechanism operates, the inner surface of oscillating tooth gear cannot interfere with shock wave device, and outer surface cannot interfere with centre wheel, therefore in this example Selection internal diameter is 23mm, outside diameter 27mm.
Shock wave device and input shaft, centre wheel and output shaft are made of one, and oscillating tooth gear is affixed with engine base, shock wave device, centre wheel Axis of rotation overlapped with the central axis of oscillating tooth gear, three rolling free gears are installed in the axial channel of oscillating tooth gear, are axially led Groove is uniformly distributed on oscillating tooth carrier circumference, and installation diagram is as shown in Figure 7.After shock wave device is connected with prime mover, rotation counterclockwise is living Tooth is under the action of shock wave device flank profil, and guide groove does linear relative movement vertically, it is achieved that the effect of axial shock wave, at the same time Centre wheel is promoted to rotate counterclockwise, since each oscillating tooth is involved in engaging, active oscillating tooth number is oscillating tooth sum.Due to The flank profil of centre wheel is come out according to gearratio reverse, so the rotating speed of centre wheel is the rotating speed and gearratio of shock wave device at this time iHKRatio, wherein iHKIt is the function on shock wave device corner, rotates and change with shock wave device.So as to fulfill the continuous of movement Transmit, reach realization and subtract the integrated requirement of speed change.

Claims (1)

1. one kind is single-row to subtract speed change integration Cylinder Sine oscillating tooth mechanism, mainly including shock wave device, oscillating tooth gear, centre wheel, input Axis, output shaft, bearing A, bearing B, circlip A, circlip B, babinet, drive end bearing bracket, rear end cap and oscillating tooth, its feature exist In:One end of input shaft extends to the outside of drive end bearing bracket, is connected with prime mover, and the other end of input shaft is plugged in shock wave device Portion, the outer raceway flank profil of shock wave device on the inside of oscillating tooth with connecting, and oscillating tooth is located in the axial channel of oscillating tooth gear by pin, defeated Enter and bearing A is equipped between axis and oscillating tooth gear, on input shaft, at neighbour's bearing A, be socketed circlip A, the outside of oscillating tooth is with The outer raceway flank profil of heart wheel connects, and the side of centre wheel passes through rear end cap, is connected with working machine, above-mentioned shock wave device, oscillating tooth gear and The axis of centre wheel is identical, and shock wave device, oscillating tooth gear and centre wheel are each provided in babinet, and axis is equipped between centre wheel and babinet Hold B, on centre wheel, at neighbour's bearing B, be socketed circlip B, babinet two sides opening, two sides respectively with drive end bearing bracket, after End cap is connected, and the maximum number of oscillating tooth rotates a circle gearratio i for shock wave deviceHKThe periodicity m of change1, m1To be just whole more than 1 Number, and meet equation ZK=m1+ 1, wherein ZKCentered on the number of teeth taken turns, the number of oscillating tooth corresponds to the guide groove number of oscillating tooth gear, and It is uniformly distributed on circumferencial direction,
The rectangular equation of shock wave device theoretic profile curve is
In formula, xH、yH、zH--- the rectangular co-ordinate of shock wave device theoretic profile curve;
--- shock wave device corner;
nH--- the periodicity of shock wave device theoretic profile curve;
E --- shock wave device axial direction shock wave amplitude;
The radius on cylindrical surface where R --- shock wave device theoretic profile curve,
The rectangular equation of centre wheel theoretic profile curve is
In formula, xK、yK、zK--- the rectangular co-ordinate of centre wheel theoretic profile curve;
iHKFor resultant gear ratio;
--- shock wave device corner;
nH--- the periodicity of shock wave device theoretic profile curve;
E --- shock wave device axial direction shock wave amplitude;
The radius on cylindrical surface where R --- shock wave device theoretic profile curve;
--- centre wheel corner;
nK--- the periodicity of centre wheel theoretic profile curve,
The rectangular equation of shock wave device practical tooth curved surface is
In formula, xGH、yGH、zGH--- the rectangular co-ordinate of shock wave device practical tooth curved surface;
R is oscillating tooth radius;
--- shock wave device corner;
nH--- the periodicity of shock wave device theoretic profile curve;
E --- shock wave device axial direction shock wave amplitude;
The radius on cylindrical surface where R --- shock wave device theoretic profile curve;
U, v --- spherical equation parameter,
The rectangular equation of centre wheel practical tooth curved surface is
In formula, xGK、yGK、zGK--- the rectangular co-ordinate of centre wheel practical tooth curved surface,
R is oscillating tooth radius;
--- centre wheel corner;
U, v --- spherical equation parameter;
E --- shock wave device axial direction shock wave amplitude;
The radius on cylindrical surface where R --- shock wave device theoretic profile curve;
nH--- the periodicity of shock wave device theoretic profile curve,
Continuous transmission is realized to enable to subtract speed change integration Cylinder Sine Oscillating Tooth Gear Reducer, its resultant gear ratio iHKIt should meetI in formulajFor the speed reducing ratio of mechanism, iHKFor resultant gear ratio,For shock wave device corner, and The radius r of its oscillating tooth should be necessarily less than or the minimum profile curvature radius equal to theoretic profile curve, i.e. r≤ρmin, in order to reduce shock wave Device, centre wheel contacted with oscillating tooth between abrasion, bearing is installed on shock wave device and centre wheel.
CN201610055847.9A 2016-01-27 2016-01-27 One kind is single-row to subtract speed change integration Cylinder Sine oscillating tooth mechanism Active CN105626816B (en)

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CN109780163B (en) * 2019-01-26 2021-09-28 天津大学 Reciprocating type cylindrical sine end face oscillating tooth speed reducer
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Citations (5)

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Publication number Priority date Publication date Assignee Title
GB191103349A (en) * 1911-02-09 1912-02-08 Fedor Procofjewitsc Soprounoff Improvements in Driving and Reversing Gearing.
US4069718A (en) * 1976-09-13 1978-01-24 The United States Of America As Represented By The Secretary Of The Army Speed change device
JPS60179563A (en) * 1984-02-24 1985-09-13 Sanwa Tekki Corp Cap type gearless transmission
RU2162554C1 (en) * 1999-05-21 2001-01-27 Пашуков Сергей Александрович Ball cylindrical variable-speed drive
CN1468349A (en) * 2000-09-07 2004-01-14 亚历山大・安德烈耶维奇・帕宁 Ball-bearing planetary gear

Patent Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
GB191103349A (en) * 1911-02-09 1912-02-08 Fedor Procofjewitsc Soprounoff Improvements in Driving and Reversing Gearing.
US4069718A (en) * 1976-09-13 1978-01-24 The United States Of America As Represented By The Secretary Of The Army Speed change device
JPS60179563A (en) * 1984-02-24 1985-09-13 Sanwa Tekki Corp Cap type gearless transmission
RU2162554C1 (en) * 1999-05-21 2001-01-27 Пашуков Сергей Александрович Ball cylindrical variable-speed drive
CN1468349A (en) * 2000-09-07 2004-01-14 亚历山大・安德烈耶维奇・帕宁 Ball-bearing planetary gear

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