CN106402162A - Noncircular raceway rolling bearing - Google Patents
Noncircular raceway rolling bearing Download PDFInfo
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- CN106402162A CN106402162A CN201610932992.0A CN201610932992A CN106402162A CN 106402162 A CN106402162 A CN 106402162A CN 201610932992 A CN201610932992 A CN 201610932992A CN 106402162 A CN106402162 A CN 106402162A
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- bearing
- raceway
- radius
- rolling
- outer ring
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Classifications
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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
- F16C—SHAFTS; FLEXIBLE SHAFTS; ELEMENTS OR CRANKSHAFT MECHANISMS; ROTARY BODIES OTHER THAN GEARING ELEMENTS; BEARINGS
- F16C33/00—Parts of bearings; Special methods for making bearings or parts thereof
- F16C33/30—Parts of ball or roller bearings
- F16C33/58—Raceways; Race rings
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- Engineering & Computer Science (AREA)
- General Engineering & Computer Science (AREA)
- Mechanical Engineering (AREA)
- Rolling Contact Bearings (AREA)
Abstract
The invention discloses a noncircular raceway rolling bearing. Raceways on the outer ring inner surface of the bearing and the inner ring outer surface of the bearing are noncircular raceways, and rolling bodies are evenly spaced by a holder and roll in the noncircular raceway between a bearing outer ring and a bearing inner ring. The cross sections of the noncircular raceways on the bearing outer ring and the bearing inner ring are one of a normal curve, a parabola, a catenary, a conchoids, an elliptic arc and a versiera, or are the combination of different curves. The radius of curvature in the middle of the raceway on the bearing outer ring is larger than the radius of the curvature in the middle of the raceway on the bearing inner ring. According to the noncircular raceway rolling bearing, the radius of the curvature of the raceways can be reduced, the axial clearance of the bearing is reduced, and vibration of the bearing is reduced. Moreover, the synthetic radius of curvature of the raceways and rollers can be increased, the contact stress of the raceways on the inner ring and the outer ring and the rolling bodies is reduced, the bearing capacity of the bearing is improved, and the contact fatigue life of the bearing is prolonged.
Description
Technical field
The present invention relates to a kind of rolling bearing, especially relate to a kind of noncircular raceway rolling bearing.
Background technology
In rolling bearing, rolling element is contacted with the raceway of the inside and outside circle of bearing.In traditional rolling bearing designs,
Generally will its groove-section shape design circular, the ratio of raceway radius and roller diameter between 0.53～0.54, this circle
The radius of curvature of shape groove-section is larger so that the end-play of bearing is larger, increased the vibration and noise of bearing.Additionally
So that circular race bearing rolling element is less with the composite curve radius of raceway, lead to connecing between rolling element and Internal and external cycle raceway
Tactile stress is excessive, and the bearing capacity of bearing diminishes, service life shortens.
Content of the invention
In order to solve, general rolling bearing circle larger, bearing the end-play of raceway radius of curvature in background technology is big, axle
Hold and vibrate the problem that between big, rolling element and raceway, contact stress is big, bearing touch fatigue life is short, it is an object of the invention to carrying
For a kind of radius of curvature that can reduce raceway, reduce bearing axial play, reduce bear vibration, reduce rolling element and raceway it
Between contact stress, improve the noncircular raceway rolling bearing of bearing load carrying capacity and contact fatigue life.
The technical solution used in the present invention is：
The present invention include bearing outer ring, bearing inner race and be arranged on rolling element between bearing outer ring and bearing inner race,
Retainer and lubricant, the raceway of described bearing outer ring inner surface and bearing inner race outer surface is noncircular raceway, rolling element quilt
Retainer uniform intervals separate, and roll in the noncircular raceway between bearing outer ring and bearing inner race.
The cross sectional shape of described noncircular raceway be normal curve, parabola, catenary, conchoid, elliptic arc, versiera wherein
One kind.
The cross sectional shape of described bearing outer ring and bearing inner race noncircular raceway is normal curve, parabola, catenary, freshwater mussel
Line, elliptic arc, versiera therein a kind of or above-mentioned difference curve combination.
Radius of curvature (i.e. raceway curvature at symmetrical centre point on curve half of described bearing outer ring ball track middle
Footpath) bigger than the radius of curvature of bearing inner race raceway middle.
The described radius of curvature of bearing outer ring ball track middle is 0.52～0.53 with the diameter ratio of rolling element.
The described radius of curvature of bearing inner race raceway middle and rolling element diameter ratio are 0.515～0.52.
Described bearing outer ring and the respective noncircular raceway of bearing inner race are on the axial direction along bearing all with bearing
Heart both sides are symmetrical.
The present invention, by carrying out appropriate non-circular curve design to groove-section shape, can reduce the radius of curvature of raceway,
Reduce the end-play of bearing, reduce bear vibration；Increased the composite curve radius of rolling element and raceway simultaneously, reduce two
Contact stress between person, thus improve bearing capacity and the service life of rolling bearing.Following two parts specifically can be referred to
Between contact direct stress σHComputing formula.
In formula：F acts on the gross pressure on contact surface；B initial contact line length；μ1And μ2It is respectively part 1 He
The Poisson's ratio of part 2 material；E1And E2It is respectively the elastic modelling quantity of part 1 and part 2 material.ρ1And ρ2It is respectively first
Individual part and the radius of curvature of second part initial contact.
Generally, makeReferred to as synthetic curvature, andReferred to as composite curve radius, wherein positive sign
For outer contacting, negative sign is used for interior contact.In the present invention, roller is interior contact with Internal and external cycle raceway contact situation.
Above formula is the computing formula of contact stress when two parts that Elasticity is given contact with each other.By above public affairs
Formula can be seen that contact stress between contact with each other the two parts and two parts synthetic curvature at initial contact link
Radius is relevant.Composite curve radius are bigger, and contact stress is less.The rolling element diameter of the present invention keeps constant, because being interior
Contact, reduces the bearing inner race with rolling element contact position and outer ring radius of curvature, composite curve radius can be made to increase, improve
Composite curve radius, therefore can reduce contact stress, improve bearing capacity and the service life of rolling bearing.
The invention has the advantages that：
1st, the present invention by Internal and external cycle raceway cross sectional shape be respectively designed to the less normal distribution curve of radius of curvature,
Parabola, catenary, conchoid, elliptic arc, versiera.Reduce the radius of curvature of Internal and external cycle raceway, thus reducing bearing
End-play, vibration and noise.
2nd, the present invention by Internal and external cycle raceway cross sectional shape be respectively designed to the less normal distribution curve of radius of curvature,
Parabola, catenary, conchoid, elliptic arc, cycloid, versiera.So that what rolling element was contacted with Internal and external cycle raceway
Composite curve radius increase, so that the contact stress between rolling element and Internal and external cycle raceway reduces, improve the carrying energy of bearing
Power and fatigue life.
3rd, described noncircular raceway cross sectional shape be respectively designed to the less normal distribution curve of radius of curvature, parabola,
Catenary, conchoid, elliptic arc, versiera.These curves are easy to represent by curvilinear equation, are easy to raceway and make.
Sum it up, present invention decreases the radius of curvature of raceway, reducing end-play, the vibration and noise of bearing,
Also increase the composite curve radius of rolling element and raceway simultaneously, reduce contact stress between the two, thus improving rolling
The bearing capacity of bearing and service life.
Brief description
Fig. 1 is the structural representation of not rounded race bearing.
Fig. 2 is normal curve figure.
Fig. 3 is the sectional view of normal curve rolling path rolling bearing.
Fig. 4 is parabolic curve figure.
Fig. 5 is the sectional view of parabola rolling path rolling bearing.
Fig. 6 is catenary curve figure.
Fig. 7 is the sectional view of catenary rolling path rolling bearing.
Fig. 8 is conchoid curve chart.
Fig. 9 is the sectional view of conchoid rolling path rolling bearing.
Figure 10 is elliptic curve figure.
Figure 11 is the sectional view of elliptic roller track rolling bearing.
Figure 12 is versiera curve chart.
Figure 13 is the sectional view of versiera rolling path rolling bearing.
Wherein：1st, bearing inner race, 2, retainer, 3, rolling element, 4, bearing outer ring.
Specific embodiment
Below in conjunction with drawings and Examples, the present invention is further illustrated.
As shown in figure 1, the present invention includes bearing outer ring 4, bearing inner race 1 and is arranged on bearing outer ring 4 and bearing inner race 1
Between rolling element 3, retainer 2 and lubricant, the raceway of bearing outer ring 4 inner surface and bearing inner race 1 outer surface is not rounded rolling
Road, rolling element 3 is kept frame 2 uniform intervals and separates, and rolls in the noncircular raceway between bearing outer ring 4 and bearing inner race 1.
The cross sectional shape of bearing outer ring 4 and bearing inner race 1 noncircular raceway be normal curve, parabola, catenary, conchoid,
Elliptic arc, versiera therein a kind of or above-mentioned difference curve combination.
The operation principle of the present invention is：
It has been investigated that, in the middle of general rolling bearing, the groove-section shape of bearing internal external circle is designed to circular,
Between 0.53～0.54, this structure design can make bearing internal external circle raceway to the ratio of raceway radius of curvature and roller diameter
Radius of curvature is larger, is easily caused bear vibration.Additionally, the composite curve radius that rolling element is contacted with raceway are too small, easily
Make contact stress between rolling element and raceway become big, bearing life to shorten.
In order to extend bearing life and reduce moment of friction, the cross sectional shape of raceway is designed to non-circular shape by the present invention,
These noncircular raceways can reduce the end-play of bearing, reduces bear vibration.Additionally, the comprehensive song that raceway is contacted with rolling element
Rate radius increases so that contact stress reduces between raceway and rolling element, improves the working life of bearing.
Embodiments of the invention are as follows：
As shown in figure 3, being a kind of noncircular raceway rolling bearing that Internal and external cycle raceway shape is designed to normal curve.In it
The normal curve equation of outer ring raceway isBecause raceway curve is in the axis side of bearing
Symmetrical upwards, so the summit of the normal curve shown in Fig. 2 is the symmetrical centre point of groove-section.Can in radius of curvature herein
By curvature radius formulaCalculating gets.Make μ=0, obtaining its curvature radius calculation formula isGiven roller diameter D is 10mm, then by the raceway radius of curvature of explanation in right 5 and rolling element diameter ratio,
It is ρ that bearing outer ring ball track curvature can be obtained1=(0.52～0.53) * 10, and had by curvature radius calculation formula
Outer ring raceway curvilinear equation parameter σ=1.275～1.28 can be tried to achieve in conjunction with two formulas.Carry it into outer ring raceway normal curve equation
Outer ring curvilinear equation can be tried to achieve.It is ρ with reason inner ring raceway radius of curvature2=(0.515～0.52) * 10 can obtain inner ring raceway
Parameter of curve σ=1.271～1.275, carry it into inner ring normal curve equation and can obtain inner ring raceway curve parametric equation.
In addition by composite curve radius computing formulaCan outer ring raceway and roller composite curve radius ρ1Σ=
88.33～130, the composite curve radius ρ of inner ring raceway and roller can be calculated in the same manner2Σ=130～171.7.In this reality
In the case that example roller diameter is 10mm, the composite curve radius ρ of general circular race bearing raceway and roller1'Σ=67.5
～88.3, less than the composite curve radius between the roller in the present invention and raceway.So the bearing in the present invention can reduce
Contact stress between bear vibration and raceway and roller, improves bearing life.In addition present invention decreases raceway half
Footpath is so that bear vibration reduces.
Wherein μ represents normal random variable average, and σ represents normal random variable variance.
As shown in figure 5, being that Internal and external cycle raceway shape is designed to parabolical noncircular raceway rolling bearing by one kind.Inside and outside it
The parabolic equation of circle raceway is y=at2.Because raceway curve is symmetrical on the axis direction of bearing, so shown in Fig. 4
Parabolical summit be raceway section symmetrical centre.Can be by curvature radius formula in radius of curvature hereinCalculating gets.Calculate to obtain its radius of curvatureAccording to the raceway radius of curvature of explanation and rolling in right 5
Kinetoplast diameter ratio, a diameter of 10mm of given rolling element is it may be determined that outer ring raceway radius of curvature ρ3=(0.52～0.53) *
10mm, and had by curvature radius calculation formulaOuter ring raceway curvilinear equation parameter a can be tried to achieve in conjunction with two formulas1=
0.094～0.096, that is, determine raceway outer ring cross section curve equation.Inner ring raceway curvilinear equation parameter a can be obtained in the same manner2
=0.096～0.097, that is, determine raceway inner ring cross section curve equation.In the case that this example roller diameter is 10mm, one
As circular race bearing raceway and roller composite curve radius ρ3'Σ=67.5～88.3, than the roller in the present invention and rolling
Composite curve radius between road are little.So the bearing in the present invention can reduce between bear vibration and raceway and roller
Contact stress, improves bearing life, in addition present invention decreases raceway radius are so that bear vibration reduces.
As shown in fig. 7, being a kind of noncircular raceway rolling bearing that Internal and external cycle raceway shape is designed to catenary.Inside and outside it
Circle raceway catenary equation beDue to raceway curve on the axis direction of bearing symmetrical bearing
Symmetrical on width, so bearing sections raceway center is the summit of Fig. 6 catenary.Can be by curvature in radius of curvature herein
Radius formulaCalculating gets.Calculate to obtain its radius of curvatureRaceway curvature according to explanation in right 5 half
Footpath and rolling element diameter ratio, according to the raceway radius of curvature of explanation in right 5 and rolling element diameter ratio, given rolling element is straight
Footpath is 10mm it may be determined that outer ring raceway radius of curvature ρ4=(0.52～0.53) * 10mm, and had by curvature radius calculation formulaOuter ring raceway curvilinear equation parameter b can be tried to achieve in conjunction with two formulas1=0.1887～0.1923, that is, determine raceway outer ring
Cross section curve equation.Inner ring raceway curvilinear equation parameter b can be obtained in the same manner2=0.1923～0.1942, that is, determine raceway
Inner ring cross section curve equation.In the case that this example roller diameter is 10mm, general circular race bearing raceway and roller
Composite curve radius ρ4'Σ=67.5～88.3, less than the composite curve radius between the roller in the present invention and raceway.Institute
Contact stress between bear vibration and raceway and roller can be reduced with the bearing in the present invention, improve the bearing working longevity
Life.In addition present invention decreases raceway radius are so that bear vibration reduces.
As shown in figure 9, being a kind of noncircular raceway rolling bearing that Internal and external cycle raceway shape is designed to conchoid.Its Internal and external cycle
The conchoid equation of raceway is (x-c)2(x2+y2)=d2x2.Due to raceway curve on the axis direction of bearing symmetrical bearing
Symmetrical on width, so bearing sections raceway center is the summit of Fig. 8 conchoid.Can be by curvature half in radius of curvature herein
Footpath formulaCalculating gets.Calculate to obtain its radius of curvature ρ=| cd |.Raceway curvature according to explanation in right 5 half
Footpath and rolling element diameter ratio, a diameter of 10mm of given rolling element is it may be determined that outer ring raceway radius of curvature ρ5=(0.52～
0.53) * 10mm, and ρ=| cd | is had by curvature radius calculation formula, make d=1, outer ring raceway curvilinear equation parameter c can be tried to achieve1
=5.2～5.3, that is, determine raceway outer ring cross section curve equation.Inner ring raceway curvilinear equation parameter c can be obtained in the same manner2=
5.15～5.2, that is, determine raceway inner ring cross section curve equation.In the case that this example roller diameter is 10mm, general
Circular race bearing raceway and the composite curve radius ρ of roller5'Σ=67.5～88.3, than the roller in the present invention and raceway it
Between composite curve radius little.So the bearing in the present invention can reduce the contact between bear vibration and raceway and roller
Stress, improves bearing life.In addition present invention decreases raceway radius are so that bear vibration reduces.
As shown in figure 11, it is a kind of noncircular raceway rolling bearing that Internal and external cycle raceway shape is designed to ellipse.Inside and outside it
Circle raceway elliptic equation beDue to raceway curve on the axis direction of bearing symmetrical bearing width side
Symmetrical upwards, so bearing sections raceway center is the summit of Figure 10 elliptic curve.Can be by curvature half in radius of curvature herein
Footpath formulaCalculating gets.Calculate to obtain its radius of curvatureRaceway curvature according to explanation in right 5 half
Footpath and rolling element diameter ratio, a diameter of 10mm of given rolling element is it may be determined that outer ring raceway radius of curvature ρ6=(0.52～
0.53) * 10mm, and had by curvature radius calculation formulaMake e=1, outer ring raceway curvilinear equation parameter f can be tried to achieve1=
0.1887～0.1923, that is, determine raceway outer ring cross section curve equation.Inner ring raceway curvilinear equation parameter can be obtained in the same manner
f2=0.1923～0.1942, that is, determine raceway inner ring cross section curve equation.It is the situation of 10mm in this example roller diameter
Under, the composite curve radius ρ of general circular race bearing raceway and roller6'Σ=67.5～88.3, than the rolling in the present invention
Composite curve radius between son and raceway are little.So the bearing in the present invention can reduce bear vibration and raceway and roller
Between contact stress, improve bearing life.In addition present invention decreases raceway radius are so that bear vibration reduces.
As shown in figure 13, it is a kind of noncircular raceway rolling bearing that Internal and external cycle raceway shape is designed to versiera.In it
The versiera equation of outer ring raceway isDue to raceway curve on the axis direction of bearing symmetrical bearing
Symmetrical on width, so bearing sections raceway center is the summit of Figure 12 versiera.Can be by song in radius of curvature herein
Rate radius formulaCalculating gets.Calculate to obtain its radius of curvature ρ=16g2.Raceway curvature according to explanation in right 5
Radius and rolling element diameter ratio, a diameter of 10mm of given rolling element is it may be determined that outer ring raceway radius of curvature ρ7=(0.52～
0.53) * 10mm, and ρ=16g is had by curvature radius calculation formula2, outer ring raceway curvilinear equation parameter g can be tried to achieve in conjunction with two formulas1
=0.570～0.576, that is, determine raceway outer ring cross section curve equation.Inner ring raceway curvilinear equation parameter can be obtained in the same manner
g2=0.567～0.570, that is, determine raceway inner ring cross section curve equation.In the case that this example roller diameter is 10mm,
General circular race bearing raceway and the composite curve radius ρ of roller7'Σ=67.5～88.3, than the roller in the present invention with
Composite curve radius between raceway are little.So the bearing in the present invention can reduce between bear vibration and raceway and roller
Contact stress, improve bearing life.In addition present invention decreases raceway radius are so that bear vibration reduces.
From above example, the present invention reduces the end-play of bearing, vibration by the improvement of bearing inner curve
With noise, contact stress can be reduced, improve bearing capacity and the service life of rolling bearing.
Above-mentioned specific embodiment is used for illustrating the present invention, rather than limits the invention, the present invention's
In spirit and scope of the claims, any modifications and changes that the present invention is made, both fall within the protection model of the present invention
Enclose.
Claims (8)
1. a kind of noncircular raceway rolling bearing, including bearing outer ring (4), bearing inner race (1) and be arranged on bearing outer ring (4) and
Rolling element (3) between bearing inner race (1), retainer (2) and lubricant it is characterised in that：The described interior table of bearing outer ring (4)
The raceway of face and bearing inner race (1) outer surface is noncircular raceway, and rolling element (3) is kept frame (2) uniform intervals and separates, in bearing
Roll in noncircular raceway between outer ring (4) and bearing inner race (1).
2. a kind of noncircular raceway rolling bearing according to claim 1 it is characterised in that：The section shape of described noncircular raceway
Shape is normal curve, parabola, catenary, conchoid, elliptic arc, versiera one kind therein.
3. a kind of noncircular raceway rolling bearing according to claim 2 it is characterised in that：Described bearing outer ring (4) and
The cross sectional shape of bearing inner race (1) noncircular raceway be normal curve, parabola, catenary, conchoid, elliptic arc, versiera wherein
A kind of or above-mentioned difference curves combination.
4. a kind of noncircular raceway rolling bearing according to claim 2 it is characterised in that：Described bearing outer ring (4) rolling
The radius of curvature of road middle is bigger than the radius of curvature of bearing inner race (1) raceway middle.
5. a kind of noncircular raceway rolling bearing according to claim 4 it is characterised in that：Described bearing outer ring (4) rolling
The radius of curvature of road middle is 0.52～0.53 with the diameter ratio of rolling element (3), in the middle of described bearing inner race (1) raceway
The radius of curvature at place and rolling element (3) diameter ratio are 0.515～0.52.
6. a kind of noncircular raceway rolling bearing according to claim 1 it is characterised in that：Described bearing outer ring (4) and
The respective noncircular raceway of bearing inner race (1) is all symmetrical with bearing centre both sides on the axial direction along bearing.
7. a kind of noncircular raceway rolling bearing according to claim 1 it is characterised in that：The section shape of described noncircular raceway
Shape two ends are 120 degree to the angle of circumference that rolling element (3) centre of sphere is formed.
8. according to a kind of arbitrary described noncircular raceway rolling bearing of claim 2-4 it is characterised in that：
Described normal curve is：
In above formula, x represents bearing axial direction, and y represents bearing radial direction, and μ represents the average of normally distributed random variable, σ
Represent the variance of normally distributed random variable；
Described parabola is：
Y=ax2
In above formula, x represents bearing axial direction, and y represents bearing radial direction, and a is constant；
Described catenary is：
In above formula, x represents bearing axial direction, and y represents bearing radial direction, and b is constant；
Described conchoid is：
(x-c)2(x2+y2)=d2x2
In above formula, x represents bearing axial direction, and y represents bearing radial direction, and c, d are constant；
Described elliptic arc is：
In above formula, x represents bearing axial direction, and y represents bearing radial direction, and e, f are respectively oval major semiaxis and semi-minor axis；
Described versiera is：
In above formula, x represents bearing axial direction, and y represents bearing radial direction, and g is constant.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201610932992.0A CN106402162A (en) | 2016-10-25 | 2016-10-25 | Noncircular raceway rolling bearing |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201610932992.0A CN106402162A (en) | 2016-10-25 | 2016-10-25 | Noncircular raceway rolling bearing |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| CN106402162A true CN106402162A (en) | 2017-02-15 |
Family
ID=58012596
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201610932992.0A Pending CN106402162A (en) | 2016-10-25 | 2016-10-25 | Noncircular raceway rolling bearing |
Country Status (1)
| Country | Link |
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| CN (1) | CN106402162A (en) |
Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN112412971A (en) * | 2020-11-19 | 2021-02-26 | 大族激光科技产业集团股份有限公司 | Flexible bearing and harmonic reducer |
| CN113027912A (en) * | 2021-04-29 | 2021-06-25 | 中国航发湖南动力机械研究所 | Non-circular outer ring rolling bearing |
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| CN112412971A (en) * | 2020-11-19 | 2021-02-26 | 大族激光科技产业集团股份有限公司 | Flexible bearing and harmonic reducer |
| CN113027912A (en) * | 2021-04-29 | 2021-06-25 | 中国航发湖南动力机械研究所 | Non-circular outer ring rolling bearing |
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Application publication date: 20170215 |
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| RJ01 | Rejection of invention patent application after publication |