CN101268278B - Oil pump rotor - Google Patents
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- CN101268278B CN101268278B CN2006800345388A CN200680034538A CN101268278B CN 101268278 B CN101268278 B CN 101268278B CN 2006800345388 A CN2006800345388 A CN 2006800345388A CN 200680034538 A CN200680034538 A CN 200680034538A CN 101268278 B CN101268278 B CN 101268278B
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Abstract
An oil pump rotor for use in an oil pump includes an inner rotor having (n: 'n' is a natural number) external teeth, an outer rotor having (n+1) internal teeth meshing with the external teeth, and a casing forming a suction port for drawing a fluid and a discharge port for discharging the fluid, such that in association with meshing and co-rotation of the inner and outer rotors, the fluid is drawn/discharged to be conveyed according to volume changes of cells formed between teeth faces of the two rotors. For a tooth profile formed of a mathematical curve and having a tooth addendum circle A1 with a radius RA1 and a tooth root curve A2 with a radius RA2 , a circle D1 has a radius RD1 which satisfies Formula (1) and a circle D 2 has a radius R D2 which satisfies both Formula (2) and Formula(3), RA1> RD1 > RA2, or RA1 > RD2 > RA2 and RD1 >= RD2 a tooth profile of the external teeth of the inner rotor includes at least either one of a modification, in a radially outer direction, of the tooth profile, on the outer side of the circle D1 and a modification, in a radially inner direction, of the tooth profile, on the inner side of the circle D2.
Description
Technical field
The present invention relates to a kind of oil hydraulic-pump rotor, it utilizes the volume-variation of the chamber that forms between internal rotor and the external rotor and sucks, discharges fluid.
Background technique
Existing oil pump has: internal rotor, and it forms the individual external tooth of n (n is a natural number); External rotor, it forms n+1 internal tooth with this external tooth engagement; And housing, the exhaust port that it form to suck the suction port of fluid and discharges fluid, by making the internal rotor rotation, external tooth rotates external rotor with the internal tooth engagement, utilizes the volume-variation of a plurality of chambers that form between two rotors and sucks, discharges fluid.
Chamber contacts respectively and separation individually by the external tooth of internal rotor and the internal tooth of external rotor at its sense of rotation front side and rear side, simultaneously bi-side is separated by housing, constitutes the independent fluid conveying chamber thus.And each chamber after volume becomes minimum, makes volume enlarge when suction port moves and sucks fluid in the way of the process of external tooth and internal tooth engagement, after volume becomes maximum, makes volume reducing and discharge fluid when exhaust port moves.
Oil pump with said structure is because small-sized and simple structure, so the lubricant oil that is widely used in automobile is with pump or automatic transmission fluid pump etc.Being equipped under the situation of automobile,, be on the bent axle of motor, directly to link internal rotor and the bent axle that utilizes the rotation of motor to drive directly links driving as the driver element of oil pump.
Currently disclose various oil pump types, having comprised: made the internal rotor that profile of tooth forms by cycloidal curve and the type (for example, with reference to patent documentation 1) of external rotor; Use makes the type (for example, with reference to patent documentation 2) of the internal rotor that profile of tooth forms by the circular arc group's who has the center on trochoid curves envelope; Perhaps make the internal rotor that profile of tooth forms by 2 circular arcs that join each other and the type (for example, with reference to patent documentation 3) of external rotor; And use is carried out above-mentioned all types of profile of tooth in the oil pump of revised internal rotor and external rotor.
Recently, owing to the valve system of following motor can change or high outputization is appended piston and cooled off with oil nozzle etc., there is the tendency of the discharge capacity increase of oil pump.On the other hand, for from the viewpoint of fuel saving expense and reduce the friction of motor, require oil pump main body miniaturization minor diameterization.Usually, for the discharge capacity that increases oil pump will reduce the number of teeth, but because in the few oil pump of the number of teeth, the discharge capacity of each chamber is more, so that pulsation becomes is big, produces the problem points that produces noise owing to the vibration of the pump housing etc.
The method that suppresses noise as pulsation is diminished, usually adopt the method that the number of teeth is increased, but because in theory, in the profile of tooth of utilizing cycloidal curve etc. to form, discharge capacity reduces if the number of teeth increases, so in order to ensure the discharge capacity of necessity, have to make the external diameter of rotor to increase, or axial thickness is increased, its result causes problems such as maximization, weight increase or friction increase.
Patent documentation 1: the spy of Japan opens the 2005-076563 communique
Patent documentation 2: the spy of Japan opens flat 09-256963 communique
Patent documentation 3: the spy of Japan opens clear 61-008484 communique
Summary of the invention
Problem of the present invention is, a kind of oil hydraulic-pump rotor is provided, and it need not to increase the external diameter of rotor or axle direction thickness and increases discharge capacity.
The technological scheme of taking in order to solve above-mentioned problem 1 is a kind of oil hydraulic-pump rotor, and it uses in oil pump, and this oil hydraulic-pump rotor has: internal rotor, and it forms the individual external tooth of n (n is a natural number); External rotor, it forms n+1 internal tooth with the aforementioned external teeth engagement; And housing, it forms suction port that sucks fluid and the exhaust port of discharging fluid, when being rotated two rotor engaged, the volume-variation of the chamber that utilization forms between the flank of tooth of two rotors sucks, discharges fluid, thereby conveyance fluid, the external tooth shape of above-mentioned internal rotor is by at least a formation the in the following distortion, that is, with respect to the top circle A of the castellated shape that forms by mathematic curve
1Radius R
A1With teeth groove circle A
2Radius R
A2,
R
A1＞R
D1＞R
A2Formula (1)
R
A1＞R
D2＞R
A2Formula (2)
R
D1〉=R
D2Formula (3)
To be positioned at the radius R that satisfies formula (1)
D1Round D
1The above-mentioned castellated shape in the outside perhaps will be positioned at the radius R that satisfies formula (2) and formula (3) to the distortion of external diameter direction
D2Round D
2Inboard above-mentioned castellated shape is out of shape to internal diameter direction.
In addition, the circular curve that said here mathematic curve is meant cycloidal curve, has the circular arc group's at center envelope on trochoid curves, formed by 2 circular arcs that join each other etc. use the curve of mathematical function statement.
Technological scheme 2 is that in technological scheme 1, the external tooth shape of above-mentioned internal rotor forms by following distortion,, will be positioned at the radius R that satisfies formula (1) that is
D1Round D
1The above-mentioned castellated shape in the outside is out of shape to the external diameter direction, and will be positioned at the radius R that satisfies formula (2) and formula (3)
D2Round D
2Inboard above-mentioned castellated shape is out of shape to internal diameter direction.
Technological scheme 3 is, in technique scheme 1 or 2, above-mentioned mathematic curve is formula (4)～(8) represented cycloidal curve, and the external tooth shape of above-mentioned internal rotor forms, to above-mentioned round D
1The situation of outside distortion under, will be by coordinate that formula (9)～(12) form as the tooth top shape, to above-mentioned round D
2The situation of inboard distortion under, will be by coordinate that formula (13)～(16) form as slot form.
X
10＝(R
A+R
a1)×cosθ
10
-R
A1* cos ({ (R
A+ R
A1)/R
A1} * θ
10) formula (4)
Y
10＝(R
A+R
a1)×sinθ
10
-R
A1* sin ({ (R
A+ R
A1)/R
A1} * θ
10) formula (5)
X
20＝(R
A-R
a2)×cosθ
20
+ R
A2* cos ({ (R
A2-R
A)/R
A2} * θ
20) formula (6)
Y
20＝(R
A-R
a2)×sinθ
20
+ R
A2* sin ({ (R
A2-R
A)/R
A2} * θ
20) formula (7)
R
A=n * (R
A1+ R
A2) formula (8)
Wherein,
Making the straight line at the center by internal rotor is X-axis,
Making the straight line with X-axis quadrature and the center by internal rotor is Y-axis,
R
ABe the Base radius of cycloidal curve,
R
A1Be the outer rolling circle radius of cycloidal curve,
R
A2Be the interior rolling circle radius of cycloidal curve,
θ
10Be straight line and X-axis angulation by the center of round as a ball outward center and internal rotor,
θ
20Be the straight line and the X-axis angulation at the center by interior round as a ball center and internal rotor,
(X
10, Y
10) be coordinate by the outer round as a ball cycloidal curve that forms,
(X
20, Y
20) be coordinate by the interior round as a ball cycloidal curve that forms.
R
11=(X
10 2+ Y
10 2)
1/2Formula (9)
θ
11=arccos (X
10/ R
11) formula (10)
X
11={ (R
11-R
D1) * β
10+ R
D1} * cos θ
11Formula (11)
Y
11={ (R
11-R
D1) * β
10+ R
D1} * sin θ
11Formula (12)
Wherein,
R
11Be that center from internal rotor is to coordinate (X
10, Y
10) distance,
θ
11Be by internal rotor center and coordinate (X
10, Y
10) straight line and X-axis angulation,
(X
11, Y
11) be the coordinate of the tooth top shape after the distortion,
β
10It is the correction factor that is used to be out of shape.
R
21=(X
20 2+ Y
20 2)
1/2Formula (13)
θ
21=arccos (X
20/ R
21) formula (14)
X
21={ R
D2-(R
D2-R
21) * β
20} * cos θ
21Formula (15)
Y
21={ R
D2-(R
D2-R
21) * β
20} * sin θ
21Formula (16)
Wherein,
R
21Be that center from internal rotor is to coordinate (X
20, Y
20) distance,
θ
21Be by internal rotor center and coordinate (X
20, Y
20) straight line and X-axis angulation,
(X
21, Y
21) be the coordinate of the slot form after the distortion,
β
20It is the correction factor that is used to be out of shape.
Technological scheme 4 is, in technological scheme 1 or 2, above-mentioned mathematic curve is the envelope that has the circular arc E group at center on the trochoid curves by formula (21)～(26) decision, and the external tooth shape of above-mentioned internal rotor forms, with respect to above-mentioned top circle A
1With above-mentioned teeth groove circle A
2, at above-mentioned round D
1The situation of outside distortion under, will be by coordinate that formula (27)～(30) form as the tooth top shape, at above-mentioned round D
2The situation of inboard distortion under, will be by coordinate that formula (31)～(34) form as slot form.
X
100=(R
H+ R
I) * cos θ
100-e
K* cos θ
101Formula (21)
Y
100=(R
H+ R
I) * sin θ
100-e
K* sin θ
101Formula (22)
θ
101=(n+1) * θ
100Formula (23)
R
H=n * R
IFormula (24)
X
101=X
100± R
J/ { 1+ (dX
100/ dY
100)
2}
1/2Formula (25)
Y
101=Y
100± R
J/ { 1+ (dY
100/ dX
100)
2}
1/2Formula (26)
Wherein,
Making the straight line by the internal rotor center is X-axis,
Make with X-axis quadrature and the straight line by the internal rotor center be Y-axis,
(X
100, Y
100) be the coordinate on the trochoid curves,
R
HBe the radius of trochoid basic circle,
R
IBe trochoid generation radius of a circle,
e
KBe the distance between the center of trochoid generation circle and the point that produces trochoid curves,
θ
100Be straight line and the X-axis angulation that the center of round center and internal rotor takes place by trochoid,
θ
101Be the center of circle and the straight line and the X-axis angulation of the point that produces trochoid curves to take place by trochoid,
(X
101, Y
101) be the coordinate on the envelope,
R
JIt is the radius that forms the circular arc E of envelope.
R
11=(X
101 2+ Y
101 2)
1/2Formula (27)
θ
102=arccos (X
101/ R
11) formula (28)
X
102={ (R
11-R
D1) * β
100+ R
D1} * cos θ
102Formula (29)
Y
102={ (R
11-R
D1) * β
100+ R
D1} * sin θ
102Formula (30)
Wherein,
R
11Be that center from internal rotor is to coordinate (X
101, Y
101) distance,
θ
102Be by internal rotor center and coordinate (X
101, Y
101) straight line and X-axis angulation,
(X
102, Y
102) be the coordinate of the tooth top shape after the distortion,
β
100It is the correction factor that is used to be out of shape.
R
21=(X
101 2+ Y
101 2)
1/2Formula (31)
θ
103=arccos (X
101/ R
21) formula (32)
X
103={ R
D2-(R
D2-R
21) * β
101} * cos θ
103Formula (33)
Y
103={ R
D2-(R
D2-R
21) * β
101} * sin θ
103Formula (34)
Wherein,
R
21Be that center from internal rotor is to coordinate (X
101, Y
101) distance,
θ
103Be by internal rotor center and coordinate (X
101, Y
101) straight line and X-axis angulation,
(X
103, Y
103) be the coordinate of the slot form after the distortion,
β
101It is the correction factor that is used to be out of shape.
Technological scheme 5 is, in technological scheme 1 or 2, above-mentioned mathematic curve is formed by 2 circular arcs that tooth top portion and teeth groove portion are joined each other, is that the external tooth shape of above-mentioned internal rotor forms, at above-mentioned round D with the circular curve of formula (41)～(46) expression
1The situation of outside distortion under, will be by coordinate that formula (47)～(50) form as the tooth top shape, at above-mentioned round D
2The situation of inboard distortion under, will be by coordinate that formula (51)～(54) form as slot form.
(X
50-X
60)
2+ (Y
50-Y
60)
2=(r
50+ r
60)
2Formula (41)
X
60=(R
A2+ r
60) cos θ
60Formula (42)
Y
60=(R
A2+ r
60) sin θ
60Formula (43)
X
50=R
A1-r
50Formula (44)
Y
50=0 formula (45)
θ
60=π/n formula (46)
Wherein,
Making the straight line by the internal rotor center is X-axis,
Make with X-axis quadrature and the straight line by the internal rotor center be Y-axis,
(X
50, Y
50) be the coordinate at center that forms the circular arc of tooth top portion,
(X
60, Y
60) be the coordinate at center that forms the circular arc of teeth groove portion,
r
50Be the radius that forms the circular arc of tooth top portion,
r
60Be the radius that forms the circular arc of teeth groove portion,
θ
60Be the center of the center of the circular arc by forming tooth top portion and internal rotor straight line, with the straight line angulation at the center of the center of circular arc by forming teeth groove portion and internal rotor.
R
51=(X
51 2+ Y
51 2)
1/2Formula (47)
θ
51=arccos (X
51/ R
51) formula (48)
X
52={ (R
51-R
D1) * β
50+ R
D1} * cos θ
51Formula (49)
Y
52={ (R
51-R
D1) * β
50+ R
D1} * sin θ
51Formula (50)
Wherein,
(X
51, Y
51) be the coordinate that forms the point on the circular arc of tooth top portion,
R
51Be that center from internal rotor is to coordinate (X
51, Y
51) distance,
θ
51Be by internal rotor center and coordinate (X
51, Y
51) straight line and X-axis angulation,
(X
52, Y
52) be the coordinate of the tooth top shape after the distortion,
β
50It is the correction factor that is used to be out of shape.
R
61=(X
61 2+ Y
61 2)
1/2Formula (51)
θ
61=arccos (X
61/ R
61) formula (52)
X
62={ R
D2-(R
D2-R
61) * β
60} * cos θ
61Formula (53)
Y
62={ R
D2-(R
D2-R
61) * β
60} * sin θ
61Formula (54)
Wherein,
(X
61, Y
61) be the coordinate that forms the point on the circular arc of teeth groove portion,
R
61Be that center from internal rotor is to coordinate (X
61, Y
61) distance,
θ
61Be by internal rotor center and coordinate (X
61, Y
61) straight line and X-axis angulation,
(X
62, Y
62) be the coordinate of the slot form after the distortion,
β
60It is the correction factor that is used to be out of shape.
Technological scheme 6 is, in technological scheme 1 or 2, has the castellated shape that forms in the following manner with the above-mentioned external rotor of above-mentioned internal rotor engagement: for following envelope, promptly, make above-mentioned internal rotor, on the circumference of round D that with the position of leaving predetermined distance e from its center is center and the radius e identical with afore mentioned rules distance, revolve round the sun with angular velocity omega, make it simultaneously on the sense of rotation opposite with the revolution direction, with the 1/n angular velocity omega/n doubly of the angular velocity omega of above-mentioned revolution carry out from then the envelope that forms, to observe the angle at the center of above-mentioned internal rotor when beginning to revolve round the sun from the center of above-mentioned round D as revolution angle 0 direction, at least make above-mentioned envelope and above-mentioned revolution angle 0 direction the axle cross section near be out of shape to the external diameter direction, make simultaneously near the cross section of the axle of direction of the revolution angle π of above-mentioned envelope and above-mentioned internal rotor/(n+1), with above-mentioned revolution angle 0 direction the axle cross section near compare, its distortion to the external diameter direction is compared less, perhaps equally be out of shape to the external diameter direction, and, to be included in by the revolution angle and be less than or equal to π/(n+1) more than or equal to 0 and extracting section in the zone determined goes out, as the part envelope, with above-mentioned part envelope with the center of above-mentioned round D as basic point to revolution direction rotation minute angle α, to extend to the part excision outside the above-mentioned zone simultaneously, and the gap that will produce between the axle of above-mentioned part envelope and above-mentioned revolution angle 0 direction connects, form the retouch envelope, with the axle of above-mentioned retouch envelope with respect to above-mentioned revolution angle 0 direction, line duplicates symmetrically, form the part profile of tooth, and then, is basic point with above-mentioned part profile of tooth with the center of above-mentioned round D, is rotated every angle 2 π/(n+1) and duplicates.
Technological scheme 7 is, in technological scheme 3, be shaped as with the internal tooth of the above-mentioned external rotor of above-mentioned internal rotor engagement, with respect in the castellated shape that forms by cycloidal curve with formula (61)～(65) expression, teeth groove justifies B
1Radius R
B1With top circle B
2Radius R
B2, satisfying R
B1＞R
D3＞R
B2Radius R
D3Round D
3The situation of outside distortion under, will satisfy R by curve that formula (66)～(69) form as slot form
B1＞R
D4＞R
B2And R
D3〉=R
D4Radius R
D4Round D
4The situation of inboard distortion under, will be by curve that formula (70)～(73) form as the tooth top shape, the while is satisfied the relation of formula (74)～(76) with above-mentioned internal rotor.
X
30＝(R
B+R
b1)cosθ
30
-R
B1* cos ({ (R
B+ R
B1)/R
B1} * θ
30) formula (61)
Y
30＝(R
B+R
b1)sinθ
30
-R
B1* sin ({ (R
B+ R
B1)/R
B1} * θ
30) formula (62)
X
40＝(R
B-R
b2)cosθ
40
+ R
B2* cos ({ (R
B2-R
B)/R
B2} * θ
40) formula (63)
Y
40＝(R
B-R
b2)sinθ
40
+ R
B2* sin ({ (R
B2-R
B)/R
B2} * θ
40) formula (64)
R
B=(n+1) * (R
B1+ R
B2) formula (65)
Wherein,
Making the straight line by the external rotor center is X-axis,
Make with X-axis quadrature and the straight line by the external rotor center be Y-axis,
R
BBe the Base radius of cycloidal curve,
R
B1Be the outer rolling circle radius of cycloidal curve,
R
B2Be the interior rolling circle radius of cycloidal curve,
θ
30Be straight line and X-axis angulation by the center of round as a ball outward center and external rotor,
θ
40Be straight line and X-axis angulation by the center of interior round as a ball center and external rotor,
(X
30, Y
30) be coordinate by the outer round as a ball cycloidal curve that obtains,
(X
40, Y
40) be coordinate by the interior round as a ball cycloidal curve that obtains.
R
31=(X
30 2+ Y
30 2)
1/2Formula (66)
θ
31=arccos (X
30/ R
31) formula (67)
X
31={ (R
31-R
D3) * β
30+ R
D3} * cos θ
31Formula (68)
Y
31={ (R
31-R
D3) * β
30+ R
D3} * sin θ
31Formula (69)
Wherein,
R
31Be that center from external rotor is to coordinate (X
30, Y
30) distance,
θ
31Be by external rotor center and coordinate (X
30, Y
30) straight line and X-axis angulation,
(X
31, Y
31) be the coordinate of the slot form after the distortion,
β
30It is the correction factor that is used to be out of shape.
R
41=(X
40 2+ Y
40 2)
1/2Formula (70)
θ
41=arccos (X
40/ R
41) formula (71)
X
41={ R
D4-(R
D4-R
41) * β
40} * cos θ
41Formula (72)
Y
41={ R
D4-(R
D4-R
41) * β
40} * sin θ
41Formula (73)
Wherein,
R
41Be that center from external rotor is to coordinate (X
40, Y
40) distance,
θ
41Be by external rotor center and coordinate (X
40, Y
40) straight line and X-axis angulation,
(X
41, Y
41) be the coordinate of the tooth top shape after the distortion,
β
40It is the correction factor that is used to be out of shape.
e
10＝〔{(R
A+2×R
a1)-R
D1}×β
10+R
D1〕-〔R
D2-{R
D2
-(R
A-2 * R
A2) * β
20)/2+d
10Formula (74)
R
B10’＝3/2×〔{(R
A+2×R
a1)-R
D1}×β
10+R
D1〕-1/2
* (R
D2-{ R
D2-(R
A-2 * R
A2) * β
20)+d
20Formula (75)
R
B20’＝[〔{(R
A+2×R
a1)-R
D1}×β
10+R
D1〕+〔R
D2-
{ R
D2-(R
A-2 * R
A2) * β
20)]/2+d
30Formula (76)
Wherein,
e
10Be the distance (offset) between the center of the center of internal rotor and external rotor,
R
B10' be the teeth groove circle radius of the external rotor after the distortion,
R
B20' be the Outside radius of the external rotor after the distortion,
d
10, d
20, d
30Be to be used to make external rotor have the gap and the corrected value that rotates.
Technological scheme 8 is, in technological scheme 4, with the above-mentioned external rotor of above-mentioned internal rotor engagement, with respect in the castellated shape that forms with circular curve by formula (81)～(84) expression, teeth groove justifies B
1Radius R
B1With top circle B
2Radius R
B2, satisfying R
B1＞R
D3＞R
B2Round D
3The situation of outside distortion under, the curve that will form with formula (85) is satisfying R as slot form
B1＞R
D4＞R
B2R
D3〉=R
D4Radius R
D4Round D
4The situation of inboard distortion under, the curve that will form with formula (86)～(87) is as the tooth top shape.
(X
200-X
210)
2+ (Y
200-Y
210)
2=R
J 2Formula (81)
X
210 2+ Y
210 2=R
L 2Formula (82)
X
220 2+ Y
220 2=R
B1 2Formula (83)
R
B1=(3 * R
A1-R
A2)/2+g
10Formula (84)
Wherein,
Making the straight line by the external rotor center is X-axis,
Make with X-axis quadrature and the straight line by the external rotor center be Y-axis,
(X
200, Y
200) be the coordinate that forms the circular arc of tooth top portion,
(X
210, Y
210) be the centre coordinate that this circular arc forms the circle of tooth top portion,
(X
220, Y
220) be the teeth groove circle B that forms teeth groove portion
1The coordinate of circular arc,
R
LBe the distance between the center of the center of external rotor and this circular arc circle that forms tooth top portion,
R
B1Be the teeth groove circle B that forms teeth groove portion
1Radius.
X
230 2+ Y
230 2=R
B1'
2Formula (85)
Wherein,
(X
230, Y
230) be the coordinate of the slot form after the distortion,
R
B1' be the radius that forms the circular arc of the teeth groove portion after being out of shape.
X
201=(1-β
200) * R
D4* cos θ
200+ X
200* β
200+ g
20Formula (86)
Y
201=(1-β
200) * R
D4* sin θ
200+ Y
200* β
200+ g
30Formula (87)
Wherein,
(X
201, Y
201) be the coordinate of the tooth top shape after the distortion,
θ
200Be by external rotor center and coordinate (X
200, Y
200) straight line and X-axis angulation,
β
200Be the correction factor that is used to be out of shape,
g
10, g
20, g
30Be to be used to make external rotor have the gap and the corrected value that rotates.
g
10, g
20, g
30Be to be used to make external rotor have the gap and the corrected value that rotates.
Technological scheme 9 is, in technological scheme 5, with the internal tooth shape of the above-mentioned external rotor of above-mentioned internal rotor engagement, with respect in the castellated shape that forms with circular curve by formula (101)～(106) expression, teeth groove justifies B
1Radius R
B1With top circle B
2Radius R
B2, satisfying R
B1＞R
D3＞R
B2Radius R
D3Round D
3The situation of outside distortion under, the curve that will form with formula (107)～(110) is satisfying R as slot form
B1＞R
D4＞R
B2And R
D3〉=R
D4Radius R
D4Round D
4The situation of inboard distortion under, the curve that will form with formula (111)～(114) simultaneously, satisfies the relation of formula (115)～(117) with above-mentioned internal rotor as the tooth top shape.
(X
70-X
80)
2+ (Y
70-Y
80)
2=(r
70+ r
80)
2Formula (101)
X
80=(R
B2+ r
80) cos θ
80Formula (102)
Y
80=(R
B2+ r
80) sin θ
80Formula (103)
X
70=R
B1-r
70Formula (104)
Y
70=0 formula (105)
θ
80The formula (106) of=π/(n+1)
Wherein,
Making the straight line by the external rotor center is X-axis,
Make with X-axis quadrature and the straight line by the external rotor center be Y-axis,
(X
70, Y
70) be the centre coordinate that forms the circular arc of teeth groove portion,
(X
80, Y
80) be the centre coordinate that forms the circular arc of tooth top portion,
r
70Be the radius that forms the circular arc of teeth groove portion,
r
80Be the radius that forms the circular arc of tooth top portion,
θ
80Be the center of the center of the circular arc by forming tooth top portion and external rotor straight line, with the straight line angulation at the center of the center of circular arc by forming teeth groove portion and external rotor.
R
71=(X
71 2+ Y
71 2)
1/2Formula (107)
θ
71=arccos (X
71/ R
71) formula (108)
X
72={ (R
71-R
D3) * β
70+ R
D3} * cos θ
71Formula (109)
Y
72={ (R
71-R
D3) * β
70+ R
D3} * sin θ
71Formula (110)
Wherein,
(X
71, Y
71) be the coordinate that forms the point on the circular arc of teeth groove portion,
R
71Be that center from external rotor is to coordinate (X
71, Y
71) distance,
θ
71Be by external rotor center and coordinate (X
71, Y
71) straight line and X-axis angulation,
(X
72, Y
72) be the coordinate of the slot form after the distortion,
β
70It is the correction factor that is used to be out of shape.
R
81=(X
81 2+ Y
81 2)
1/2Formula (111)
θ
81=arccos (X
81/ R
81) formula (112)
X
82={ R
D4-(R
D4-R
81) * β
80} * cos θ
81Formula (113)
Y
82={ R
D4-(R
D4-R
81) * β
80} * sin θ
81Formula (114)
Wherein,
(X
81, Y
81) be the coordinate that forms the point on the circular arc of tooth top portion,
R
81Be that center from external rotor is to coordinate (X
81, Y
81) distance,
θ
81Be by external rotor center and coordinate (X
81, Y
81) straight line and X-axis angulation,
(X
82, Y
82) be the coordinate of the tooth top shape after the distortion,
β
80It is the correction factor that is used to be out of shape.
e
50＝〔{(R
A1-R
D1)×β
50+R
D1}
-{ R
D2-(R
D2-R
A2) * β
60)/2+d
50Formula (115)
R
B1’＝3/2〔{R
A1-R
D1}×β
50+R
D1〕
-1/2 * { R
D2-(R
D2-R
A2) * β
60}+d
60Formula (116)
R
B2’＝〔{(R
A1-R
D1)×β
50+R
D1}
+ { R
D2-(R
D2-R
A2) * β
60)/2+d
70Formula (117)
Wherein,
e
50Be the distance (offset) between the center of the center of internal rotor and external rotor,
R
B1' be the teeth groove circle radius of the external rotor after the distortion,
R
B2' be the Outside radius of the external rotor after the distortion,
d
50, d
60, d
70Be to be used to make external rotor have the gap and the corrected value that rotates.
Internal rotor, it forms the individual external tooth of n (n is a natural number);
External rotor, it forms n+1 internal tooth with the aforementioned external teeth engagement; And
Housing, it forms suction port that sucks fluid and the exhaust port of discharging fluid,
Two rotor engaged and when rotating, the volume-variation of the chamber that utilization forms between the flank of tooth of two rotors and sucking, discharge fluid, thereby conveyance fluid, above-mentioned internal rotor forms, profile of tooth as tooth top, be will by with external and the 1st circumscribed cycloidal curve that produces of the 1st of rotation the outer round as a ball E1 slidably not of its basic circle E, based on following formula (201), (203) revised curve, profile of tooth as teeth groove, be will by with basic circle E in connect and the 1st inscribe cycloidal curve that round as a ball E2 does not produce in the 1st of rotation the slidably, based on following formula (201), (203) revised curve, above-mentioned external rotor forms, profile of tooth as teeth groove, be will by with external and the 2nd circumscribed cycloidal curve that produces of the 2nd of rotation the outer round as a ball F1 slidably not of its basic circle F, based on following formula (202), (203) revise the back curve, profile of tooth as tooth top, be will by with basic circle F in connect and the 2nd inscribe cycloidal curve that round as a ball F2 does not produce in the 2nd of rotation the slidably, based on following formula (202), (203) revised curve.
φ E=n * (φ E1 * α 1+ φ E2 * α 2) formula (201)
φ F=(n+1) * (φ F1 * β 1+ φ F2 * β 2) formula (202)
φ E1+ φ E2+H1=φ F1+ φ F2+H2=2C formula (203)
In above-mentioned formula (201), (202), (203), make the diameter of the basic circle E of internal rotor be
E makes the diameter of the 1st outer round as a ball E1 be
E1 makes the diameter of round as a ball E2 in the 1st be
E2 makes the diameter of the basic circle F of external rotor be
F makes the diameter of the 2nd outer round as a ball F1 be
F1 makes the diameter of round as a ball F2 in the 2nd be
F2, making the offset between internal rotor and the external rotor is C, makes outer round as a ball
The correction factor of E1 is α 1, and is round as a ball in making
The correction factor of E2 is α 2, makes outer round as a ball
The correction factor of F1 is β 1, and is round as a ball in making
The correction factor of F2 is β 2, and the correction factor that makes offset C is H1, H2,
Wherein, 0＜α 1＜1, and 0＜α 2＜1, and 0＜β 1＜1, and 0＜β 2＜1 ,-1＜H1＜1 ,-1＜H2＜1.
The effect of invention
According to the invention of technological scheme 1 and technological scheme 2, as oil hydraulic-pump rotor, it uses in oil pump, and this oil pump has: internal rotor, and it forms the individual external tooth of n (n is a natural number); External rotor, it forms n+1 internal tooth with the external tooth engagement; And housing, it forms suction port that sucks fluid and the exhaust port of discharging fluid, when being rotated two rotor engaged, the volume-variation of the chamber that utilization forms between the flank of tooth of two rotors sucks, discharges fluid, thereby conveyance fluid, the external tooth shape of internal rotor forms by at least a in the following distortion or the two, that is, with respect to the top circle A of the castellated shape that forms by mathematic curve
1Radius R
A1With teeth groove circle A
2Radius R
A2,
R
A1＞R
D1＞R
A2Formula (1)
R
A1＞R
D2＞R
A2Formula (2)
R
D1〉=R
D2Formula (3)
To be positioned at the radius R that satisfies formula (1)
D1Round D
1The castellated shape in the outside perhaps will be positioned at the radius R that satisfies formula (2) and formula (3) to the distortion of external diameter direction
D2Round D
2Inboard castellated shape is out of shape to internal diameter direction, thereby can not reduce the number of teeth and increase the discharge capacity of oil pump.
According to the invention of technological scheme 3,, will justify D by for the internal rotor that forms by known cycloidal curve
1The situation of outside distortion under, make castellated shape to the distortion of external diameter direction, will justify D
2The situation of inboard distortion under, castellated shape is out of shape to internal diameter direction, thereby can reduce the number of teeth and increase the discharge capacity of oil pump.
According to the invention of technological scheme 4,, will justify D by in the internal rotor that forms by the known envelope that on cycloidal curve, has the circular arc group at center
1The situation of outside distortion under, make castellated shape to the distortion of external diameter direction, will justify D
2The situation of inboard distortion under, castellated shape is out of shape to internal diameter direction, thereby can reduce the number of teeth and increase the discharge capacity of oil pump.
According to the invention of technological scheme 5, the internal rotor by forming for the circular curve by 2 arc representations that tooth top portion and teeth groove portion are joined each other makes round D
1The situation of outside distortion under, castellated shape to the distortion of external diameter direction, is made round D
2The situation of inboard distortion under, castellated shape is out of shape to internal diameter direction, thereby can reduce the number of teeth and increase the discharge capacity of oil pump.
Invention according to technological scheme 6, owing to be shaped as with the internal tooth of the external rotor of internal rotor engagement, for following envelope, promptly, make internal rotor, on the circumference of round D that with the position of leaving predetermined distance e from its center is center and the radius e identical with predetermined distance, revolve round the sun with angular velocity omega, make it simultaneously on the sense of rotation opposite with the revolution direction, with the 1/n angular velocity omega/n doubly of the angular velocity omega of revolution carry out from then the envelope that forms, to observe the angle at the center of internal rotor when beginning to revolve round the sun from the center of circle D as revolution angle 0 direction, envelope is out of shape to the external diameter direction with the cross section of the axle of revolution angle 0 direction is neighbouring, make simultaneously near the cross section of the axle of direction of the revolution angle π of envelope and internal rotor/(n+1), with the revolution angle 0 direction the axle cross section near compare, its distortion to the external diameter direction is compared less, perhaps equally be out of shape to the external diameter direction, and, to be included in by the revolution angle and be less than or equal to π/(n+1) more than or equal to 0 and extracting section in the zone determined goes out, as the part envelope, the part envelope is rotated minute angle α as basic point to the revolution direction with the center of justifying D, to extend to the part excision outside the zone simultaneously, and the gap that will produce between the axle of part envelope and revolution angle 0 direction connects, form the retouch envelope, with the axle of retouch envelope with respect to revolution angle 0 direction, line duplicates symmetrically, form the part profile of tooth, and then, is basic point with the part profile of tooth with the center of justifying D, be rotated every angle 2 π/(n+1) and duplicate, thereby can mesh smoothly and be rotated with the internal rotor after the distortion.
According to the invention of technological scheme 7, be shaped as by making the internal tooth with the external rotor of internal rotor engagement, with respect in the castellated shape that forms by known cycloidal curve, teeth groove justifies B
1Radius R
B1With top circle B
2Radius R
B2, satisfying
R
B1＞R
D3＞R
B2Radius R
D3Round D
3The situation of outside distortion under, slot form to the distortion of external diameter direction, is being satisfied
R
B1＞R
D4＞R
B2And R
D3〉=R
D4Radius R
D4Round D
4The situation of inboard distortion under, the tooth top shape is out of shape to internal diameter direction, simultaneously and the relation between the internal rotor, thereby can mesh smoothly and be rotated with the internal rotor after the distortion.
According to the invention of technological scheme 8, by with the external rotor of internal rotor engagement, in the castellated shape that forms with respect to the circular curve of 2 sections arc representations that join each other by teeth groove portion and tooth top portion, teeth groove justifies B
1Radius R
B1With top circle B
2Radius R
B2, satisfying
R
B1＞R
D3＞R
B2Round D
3The situation of outside distortion under, slot form to the distortion of external diameter direction, is being satisfied
R
B1＞R
D4＞R
B2, R
D3〉=R
D4Radius R
D4Round D
4The situation of inboard distortion under, the tooth top shape is out of shape to internal diameter direction, thereby can meshes smoothly and be rotated with the internal rotor after the distortion.
According to the invention of technological scheme 9, by with the internal tooth shape of the external rotor of internal rotor engagement, in the castellated shape that forms with respect to the circular curve of 2 sections arc representations that join each other by teeth groove portion and tooth top portion, teeth groove justifies B
1Radius R
B1With top circle B
2Radius R
B2, satisfying
R
B1＞R
D3＞R
B2Radius R
D3Round D
3The situation of outside distortion under, slot form to the distortion of external diameter direction, is being satisfied
R
B1＞R
D4＞R
B2And R
D3〉=R
D4Radius R
D4Round D
4The situation of inboard distortion under, the tooth top shape is out of shape to internal diameter direction, satisfy simultaneously and internal rotor between relation, thereby can mesh smoothly and be rotated with the internal rotor after the distortion.
Invention according to technological scheme 10, owing to it is characterized in that, internal rotor forms, profile of tooth as tooth top, be will by with external and the 1st circumscribed cycloidal curve that produces of the 1st of rotation the outer round as a ball E1 slidably not of its basic circle E, based on following formula (201), (203) revised curve, profile of tooth as teeth groove, be will by with basic circle E in connect and the 1st inscribe cycloidal curve that round as a ball E2 does not produce in the 1st of rotation the slidably, based on following formula (201), (203) revised curve, external rotor forms, profile of tooth as teeth groove, be will by with external and the 2nd circumscribed cycloidal curve that produces of the 2nd of rotation the outer round as a ball F1 slidably not of its basic circle F, based on following formula (202), (203) revise the back curve, profile of tooth as tooth top, be will by with basic circle F in connect and the 2nd inscribe cycloidal curve that round as a ball F2 does not produce in the 2nd of rotation the slidably, based on following formula (202), (203) revised curve, the number of teeth is increased and increase discharge capacity, can provide pulsation little and low noise small-sized oil hydraulic-pump rotor.
φ E=n * (φ E1 * α 1+ φ E2 * α 2) formula (201)
φ F=(n+1) * (φ F1 * β 1+ φ F2 * β 2) formula (202)
φ E1+ φ E2+H1=φ F1+ φ F2+H2=2C formula (203)
In above-mentioned formula (201), (202), (203), make the diameter of the basic circle E of internal rotor be
E makes the diameter of the 1st outer round as a ball E1 be
E1 makes the diameter of round as a ball E2 in the 1st be
E2 makes the diameter of the basic circle F of external rotor be
F makes the diameter of the 2nd outer round as a ball F1 be
F1 makes the diameter of round as a ball F2 in the 2nd be
F2, making the offset between internal rotor and the external rotor is C, makes outer round as a ball
The correction factor of E1 is α 1, and is round as a ball in making
The correction factor of E2 is α 2, makes outer round as a ball
The correction factor of F1 is β 1, and is round as a ball in making
The correction factor of F2 is β 2, and the correction factor that makes offset C is H1, H2.
Description of drawings
Fig. 1 is the plan view of the mode of execution 1 of oil pump involved in the present invention.
Fig. 2 is the plan view of the internal rotor of mode of execution 1.
Fig. 3 is the explanatory drawing that is used to form the internal rotor of mode of execution 1.
Fig. 4 is the plan view of the external rotor of mode of execution 1.
Fig. 5 is the explanatory drawing that is used to form the external rotor of mode of execution 1.
Fig. 6 is the plan view that oil pump involved in the present invention and existing oil pump are compared.
Fig. 7 is the plan view of the mode of execution 2 of oil pump involved in the present invention.
Fig. 8 is the plan view of the internal rotor of mode of execution 2.
Fig. 9 is the explanatory drawing that is used to form the internal rotor of mode of execution 2.
Figure 10 is the plan view of the external rotor of mode of execution 2.
Figure 11 is the explanatory drawing that is used to form the external rotor of mode of execution 2.
Figure 12 is the plan view of the mode of execution 3 of oil pump involved in the present invention.
Figure 13 is the plan view of the internal rotor of mode of execution 3.
Figure 14 is the explanatory drawing that is used to form the internal rotor of mode of execution 3.
Figure 15 is the plan view of the external rotor of mode of execution 3.
Figure 16 is the explanatory drawing that is used to form the external rotor of mode of execution 3.
Figure 17 is the explanatory drawing of the mode of execution 4 of oil pump involved in the present invention.
Figure 18 is the plan view that is used to form the external rotor of mode of execution 4.
Figure 19 is the plan view of the mode of execution 5 of oil pump involved in the present invention.
Figure 20 is the explanatory drawing that is used to form the internal rotor of mode of execution 5.
Embodiment
Mode of execution 1
The mode of execution 1 of oil hydraulic-pump rotor involved in the present invention is described based on Fig. 1 to Fig. 6.
Oil pump shown in Figure 1 illustrates the mode of execution under the situation of cycloidal curve distortion.Oil pump has: internal rotor 10, and it forms 6 external tooths 11; External rotor 20,7 internal tooths 21 of external tooth 11 engagements of its formation and internal rotor 10; And housing 50, the exhaust port 41 that it form to suck the suction port 140 of fluid and discharges fluid two rotor engaged and when rotating, utilizes the volume-variation of the chamber 30 that forms and sucks, discharges fluid between the flank of tooth of two rotors, thus conveyance fluid.
Fig. 2 illustrates the shape of the distortion front and back of internal rotor 10.Castellated shape is, for the castellated shape S that is made of known cycloidal curve
1, than its top circle A
1Diameter is little and than its teeth groove circle A
2The round D that diameter is big
1The outside, with castellated shape S
1To external diameter direction distortion, than round D
1Diameter is little and than teeth groove circle A
2The round D that diameter is big
2The inboard, with castellated shape S
1Be out of shape to internal diameter direction.
Fig. 3 is the explanatory drawing that is used to form the internal rotor of Fig. 2.In Fig. 3, (a) be the explanatory drawing of tooth top side, (b) be the explanatory drawing of teeth groove side.
At first, constitute castellated shape S
1Cycloidal curve, can use following formula (4) to (8) to represent.
X
10＝(R
A+R
a1)×cosθ
10
-R
A1* cos ({ (R
A+ R
A1)/R
A1} * θ
10) formula (4)
Y
10＝(R
A+R
a1)×sinθ
10
-R
A1* sin ({ (R
A+ R
A1)/R
A1} * θ
10) formula (5)
X
20＝(R
A-R
a2)×cosθ
20
+ R
A2* cos ({ (R
A2-R
A)/R
A2} * θ
20) formula (6)
Y
20＝(R
A-R
a2)×sinθ
20
+ R
A2* sin ({ (R
A2-R
A)/R
A2} * θ
20) formula (7)
R
A=n * (R
A1+ R
A2) formula (8)
Make center O here, by internal rotor 10
1Straight line be X-axis, make and X-axis quadrature and the center O by internal rotor 10
1Straight line be Y-axis, in formula (4) in (8), R
ABe the Base radius of cycloidal curve, R
A1Be the outer rolling circle radius of cycloidal curve, R
A2Be the interior rolling circle radius of cycloidal curve, θ
10Be by the outer round as a ball center and the center O of internal rotor 10
1Straight line and X-axis angulation, θ
20Be by the interior round as a ball center and the center O of internal rotor 10
1Straight line and X-axis angulation, (X
10, Y
10) be coordinate by the outer round as a ball cycloidal curve that forms, (X
20, Y
20) be coordinate by the interior round as a ball cycloidal curve that forms.
That is, shown in Fig. 3 (a), by with P
1As starting point, be R with radius
A1Outer round as a ball at radius R
ABasic circle on rotate a circle, form cycloidal curve P
1Q
1(castellated shape S
1A part), it becomes 1 tooth top of internal rotor 10 before the distortion.Then, by with Q
1As starting point, with radius R
A2Interior round as a ball at radius R
ABasic circle on rotate a circle, then shown in Fig. 3 (b), form cycloidal curve Q
1R
1(castellated shape S
1A part), it becomes 1 teeth groove of internal rotor 10 before the distortion.By repeating above-mentioned steps, as shown in Figure 2, form the castellated shape S that constitutes with known cycloidal curve
1
And, to this castellated shape S
1Carry out following distortion.
At first, at circle D
1The outside (tooth top side), shown in Fig. 3 (a), will be by coordinate (X with following formula (9) to (12) expression
11, Y
11) curve that forms, as the tooth top shape after the distortion.
R
11=(X
10 2+ Y
10 2)
1/2Formula (9)
θ
11=arccos (X
10/ R
11) formula (10)
X
11={ (R
11-R
D1) * β
10+ R
D1} * cos θ
11Formula (11)
Y
11={ (R
11-R
D1) * β
10+ R
D1} * sin θ
11Formula (12)
Here, R
11Be that center from internal rotor 10 is to coordinate (X
10, Y
10) distance, θ
11It is center O by internal rotor 10
1And coordinate (X
10, Y
10) straight line and X-axis angulation, (X
11, Y
11) be the coordinate of the tooth top shape after the distortion, β
10It is the correction factor that is used to be out of shape.
On the other hand, at circle D
2Inboard (teeth groove side), shown in Fig. 3 (b), will utilize coordinate (X with following formula (13) to (16) expression
21, Y
21) curve that forms, as the slot form after the distortion.
R
21=(X
20 2+ Y
20 2)
1/2Formula (13)
θ
21=arccos (X
20/ R
21) formula (14)
X
21={ R
D2-(R
D2-R
21) * β
20} * cos θ
21Formula (15)
Y
21={ R
D2-(R
D2-R
21) * β
20} * sin θ
21Formula (16)
Here, R
21It is center O from internal rotor 10
1To coordinate (X
20, Y
20) distance, θ
21It is center O by internal rotor 10
1And coordinate (X
20, Y
20) straight line and X-axis angulation, (X
21, Y
21) be the coordinate of the slot form after the distortion, β
20It is the correction factor that is used to be out of shape.
By castellated shape S to constituting by known cycloidal curve
1Implement above-mentioned distortion, can form the external tooth shape of internal rotor 10 as shown in Figure 2.
In addition, Fig. 4 illustrates the shape of the distortion front and back of external rotor 20.With internal rotor 10 in the same manner, castellated shape is, for the castellated shape S that is made of known cycloidal curve
2, justifying B than its teeth groove
1Diameter is little and than its top circle B
2The round D that diameter is big
3The outside, with castellated shape S
2To external diameter direction distortion, than round D
3Diameter is little and than its top circle B
2The round D that diameter is big
4The inboard, with castellated shape S
2Be out of shape to internal diameter direction.
Fig. 5 is the explanatory drawing that is used to form the external rotor 20 of Fig. 4.In Fig. 5, (a) be the explanatory drawing of teeth groove side, (b) be the explanatory drawing of tooth top side.
Its distortion is identical with the situation of above-mentioned internal rotor, illustrates below to constitute castellated shape S
2The formula of cycloidal curve, and with castellated shape S
2The formula of being out of shape.
At first, constitute castellated shape S
2Cycloidal curve represent with following formula (61) to (65).
X
30＝(R
B+R
b1)cosθ
30
-R
B1* cos ({ (R
B+ R
B1)/R
B1} * θ
30) formula (61)
Y
30＝(R
B+R
b1)sinθ
30
-R
B1* sin ({ (R
B+ R
B1)/R
B1} * θ
30) formula (62)
X
40＝(R
B-R
b2)cosθ
40
+ R
B2* cos ({ (R
B2-R
B)/R
B2} * θ
40) formula (63)
Y
40＝(R
B-R
b2)sinθ
40
+ R
B2* sin ({ (R
B2-R
B)/R
B2} * θ
40) formula (64)
R
B=(n+1) * (R
B1+ R
B2) formula (65)
Here, with center O by external rotor 20
2Straight line be X-axis, with X-axis quadrature and the center O by external rotor 20
2Straight line be Y-axis, in formula (61) in (65), R
BBe the Base radius of cycloidal curve, R
B1Be the outer rolling circle radius of cycloidal curve, R
B2Be the interior rolling circle radius of cycloidal curve, θ
30Be by the outer round as a ball center and the center O of external rotor 20
2Straight line and X-axis angulation, θ
40Be by the interior round as a ball center and the center O of external rotor 20
2Straight line and X-axis angulation, (X
30, Y
30) be coordinate by the cycloidal curve of outer round as a ball generation, (X
40, Y
40) be coordinate by the cycloidal curve of interior round as a ball generation.
And, by to this castellated shape S
2Carry out following distortion, form the internal tooth shape of external rotor 20.
At first, at circle D
3The outside (teeth groove side), shown in Fig. 5 (a), will form as slot form with the curve that following formula (66) to (69) forms.
R
31=(X
30 2+ Y
30 2)
1/2Formula (66)
θ
31=arccos (X
30/ R
31) formula (67)
X
31={ (R
31-R
D3) * β
30+ R
D3} * cos θ
31Formula (68)
Y
31={ (R
31-R
D3) * β
30+ R
D3} * sin θ
31Formula (69)
Here, R
31It is center O from external rotor 20
2To coordinate (X
30, Y
30) distance, θ
31It is center O by external rotor 20
2And coordinate (X
30, Y
30) straight line and X-axis angulation, (X
31, Y
31) be the coordinate of the slot form after the distortion, β
30It is the correction factor that is used to be out of shape.
In addition, at circle D
4Inboard (tooth top side), shown in Fig. 5 (b), will form as the tooth top shape with the curve that following formula (70) to (73) forms.
R
41=(X
40 2+ Y
40 2)
1/2Formula (70)
θ
41=arccos (X
40/ R
41) formula (71)
X
41={ R
D4-(R
D4-R
41) * β
40} * cos θ
41Formula (72)
Y
41={ R
D4-(R
D4-R
41) * β
40} * sin θ
41Formula (73)
Here, R
41It is center O from external rotor 20
2To coordinate (X
40, Y
40) distance, θ
41It is center O by external rotor 20
2And coordinate (X
40, Y
40) straight line and X-axis angulation, (X
41, Y
41) be the coordinate of the tooth top shape after the distortion, β
40It is the correction factor that is used to be out of shape.
In addition, form the above-mentioned formula of the internal tooth shape of external rotor 20, satisfy the relation of following formula (74) to (76) with respect to internal rotor 10.
e
10＝〔{(R
A+2×R
a1)-R
D1}×β
10+R
D1〕-〔R
D2-{R
D2
-(R
A-2 * R
A2) * β
20)/2+d
10Formula (74)
R
B10’＝3/2×〔{(R
A+2×R
a1)-R
D1}×β
10+R
D1〕-1/2
* (R
D2-{ R
D2-(R
A-2 * R
A2) * β
20)+d
20Formula (75)
R
B20’＝[〔{(R
A+2×R
a1)-R
D1}×β
10+R
D1〕+〔R
D2-
{ R
D2-(R
A-2 * R
A2) * β
20)]/2+d
30Formula (76)
Here, e
10It is the center O of internal rotor 10
1Center O with external rotor 20
2Between distance (offset), R
B10' be the teeth groove circle radius of the external rotor 20 after the distortion, R
B20' be the Outside radius of the external rotor 20 after the distortion, d
10, d
20, d
30Be to be used to make external rotor 20 have the gap and the corrected value that rotates.
Fig. 6 (a) is the oil pump that is made of internal rotor 10 with the castellated shape that forms with known cycloidal curve and external rotor 20, (b) is the oil pump that the internal rotor 10 after implementing to be out of shape and external rotor 20 constitute by using the present invention.
Mode of execution 2
The mode of execution 2 of oil hydraulic-pump rotor involved in the present invention is described based on Fig. 7 to Figure 11.
Oil pump shown in Figure 7 is the mode of execution under the situation of representing the castellated shape that is formed by the envelope the circular arc group who has the center on the known trochoid curves is out of shape.Oil pump has: internal rotor 10, and it forms 4 external tooths 11; External rotor 20,5 internal tooths 21 of external tooth 11 engagements of its formation and internal rotor 10; And housing 50, the exhaust port 41 that it form to suck the suction port 40 of fluid and discharges fluid two rotor engaged and when rotating, utilizes the volume-variation of the chamber 30 that forms and sucks, discharges fluid between the flank of tooth of two rotors, thus conveyance fluid.
Fig. 8 illustrates the shape before and after internal rotor 10 distortion.Castellated shape is, for the castellated shape S that is formed by the known envelope that has the circular arc group at center on trochoid curves
1, than its top circle A
1Diameter is little and than its teeth groove circle A
2The round D that diameter is big
1The outside, with castellated shape S
1To external diameter direction distortion, than round D
1Diameter is little and than its teeth groove circle A
2The round D that diameter is big
2The inboard, with castellated shape S
1Be out of shape to internal diameter direction.
Fig. 9 is the explanatory drawing that is used to form the internal rotor 10 of Fig. 8.Fig. 9 (a) is and the known relevant explanatory drawing of envelope that has the circular arc group at center on trochoid curves that forms castellated shape S1 that Fig. 9 (b) is and this castellated shape S
1The relevant explanatory drawing of distortion.
In Fig. 9 (a), form castellated shape S
1The known envelope that on trochoid curves, has the circular arc group at center, represent with following formula (21) to (26).
X
100=(R
H+ R
I) * cos θ
100-e
K* cos θ
101Formula (21)
Y
100=(R
H+ R
I) * sin θ
100-e
K* sin θ
101Formula (22)
θ
101=(n+1) * θ
100Formula (23)
R
H=n * R
IFormula (24)
X
101=X
100± R
J/ { 1+ (dX
100/ dY
100)
2}
1/2Formula (25)
Y
101=Y
100± R
J/ { 1+ (dY
100/ dX
100)
2}
1/2Formula (26)
Make center O here, by internal rotor 10
1Straight line be X-axis, make and X-axis quadrature and the center O by internal rotor 10
1Straight line be Y-axis, in formula (21) in (26), (X
100, Y
100) be the coordinate on the trochoid curves, R
HBe the radius of trochoid basic circle, R
IBe trochoid generation radius of a circle, e
KIt is the center O that circle takes place trochoid
TAnd the distance between the point of generation trochoid curves, θ
100It is the center O that circle takes place by trochoid
TCenter O with internal rotor 10
1Straight line and X-axis angulation, θ
101It is the center O that circle takes place by trochoid
TWith the straight line and the X-axis angulation of the point that produces trochoid curves, (X
101, Y
101) be the coordinate on the envelope, R
JIt is the circular arc C that forms envelope
ERadius.
In addition, shown in Fig. 9 (b), as being used for to this castellated shape S
1The deformation type that is out of shape is represented with following formula (27) to (30) for the distortion of tooth top shape, represents with following formula (31) to (34) for the distortion of slot form.
R
11=(X
101 2+ Y
101 2)
1/2Formula (27)
θ
102=arccos (X
101/ R
11) formula (28)
X
102={ (R
11-R
D1) * β
100+ R
D1} * cos θ
102Formula (29)
Y
102={ (R
11-R
D1) * β
100+ R
D1} * sin θ
102Formula (30)
Here, R
11It is center O from internal rotor 10
1To coordinate (X
101, Y
101) distance, θ
102It is center O by internal rotor 10
1And coordinate (X
101, Y
101) straight line and X-axis angulation, (X
102, Y
102) be the coordinate of the tooth top shape after the distortion, β
100It is the correction factor that is used to be out of shape.
R
21=(X
101 2+ Y
101 2)
1/2Formula (31)
θ
103=arccos (X
101/ R
21) formula (32)
X
103={ R
D2-(R
D2-R
21) * β
101} * cos θ
103Formula (33)
Y
103={ R
D2-(R
D2-R
21) * β
101} * sin θ
103Formula (34)
Here, R
21It is center O from internal rotor 10
1To coordinate (X
101, Y
101) distance, θ
103It is center O by internal rotor 10
1And coordinate (X
101, Y
101) straight line and X-axis angulation, (X
103, Y
103) be the coordinate of the slot form after the distortion, β
101It is the correction factor that is used to be out of shape.
In addition, Figure 10 illustrates the shape of the distortion front and back of external rotor 20.With internal rotor 10 in the same manner, castellated shape is, for the castellated shape S that is made of circular curve
2, justifying B than its teeth groove
1Diameter is little and than its top circle B
2The round D that diameter is big
3The outside, with castellated shape S
2To external diameter direction distortion, than round D
3Diameter is little and than its top circle B
2The round D that diameter is big
4The inboard, with castellated shape S
2To internal diameter direction distortion, wherein above-mentioned circular curve is by a plurality of arc representations that tooth top portion and teeth groove portion are joined each other.
Figure 11 is the explanatory drawing that is used to form the external rotor 20 of Figure 10.Figure 11 (a) is and constitutes castellated shape S
2The relevant explanatory drawing of circular curve, Figure 11 (b) is and this castellated shape S
2The relevant explanatory drawing of distortion.
In Figure 11 (a), constitute castellated shape S
2Circular curve represent with following formula (81) to (84).
(X
200-X
210)
2+ (Y
200-Y
210)
2=R
J 2Formula (81)
X
210 2+ Y
210 2=R
L 2Formula (82)
X
220 2+ Y
220 2=R
B1 2Formula (83)
R
B1=(3 * R
A1-R
A2)/2+g
10Formula (84)
Make center O here, by external rotor 20
2Straight line be X-axis, make and X-axis quadrature and the center O by external rotor 20
2Straight line be Y-axis, in formula (81) in (84), (X
200, Y
200) be the coordinate that forms the circular arc of tooth top portion, (X
210, Y
210) be the centre coordinate that this circular arc forms the circle of tooth top portion, (X
220, Y
220) be the teeth groove circle B that forms teeth groove portion
1The coordinate of circular arc, R
LBe the distance between the center of the center of external rotor and its circular arc circle that forms tooth top portion, R
B1Be the teeth groove circle B that forms teeth groove portion
1Radius, g
10Be to be used to make external rotor have the gap and the corrected value that rotates.
In addition, in Figure 11 (b), as being used for to this castellated shape S
2The deformation type that is out of shape, is shown with following formula (86) to (87) for the tooth top side with following formula (85) expression for the teeth groove side.
X
230 2+ Y
230 2=R
B1'
2Formula (85)
Here, (X
230, Y
230) be the coordinate of the slot form after the distortion, R
B1' be the radius that forms the circular arc of the teeth groove portion after being out of shape.
X
201=(1-β
200) * R
D4* cos θ
200+ X
200* β
200+ g
20Formula (86)
Y
201=(1-β
200) * R
D4* sin θ
200+ Y
200* β
200+ g
30Formula (87)
Here, (X
201, Y
201) be the coordinate of the tooth top shape after the distortion, θ
200It is center O by external rotor 20
2And coordinate (X
200, Y
200) straight line and X-axis angulation, β
200Be the correction factor that is used to be out of shape, g
20, g
30Be to be used to make external rotor have the gap and the corrected value that rotates.
Mode of execution 3
The mode of execution 3 of oil hydraulic-pump rotor involved in the present invention is described based on Figure 12 to Figure 16.
Oil pump shown in Figure 12 illustrates the mode of execution under the situation that circular curve is out of shape, and wherein above-mentioned circular curve is by 2 arc representations that tooth top portion and teeth groove portion are joined each other.Oil pump has: internal rotor 10, and it forms 8 external tooths 11; External rotor 20,9 internal tooths 21 of external tooth 11 engagements of its formation and internal rotor 10; And housing 50, the exhaust port 41 that it form to suck the suction port 40 of fluid and discharges fluid when being rotated two rotor engaged, utilizing the volume-variation of the chamber 30 that forms and sucks, discharges fluid between the flank of tooth of two rotors, thus conveyance fluid.
Figure 13 illustrates the shape before and after internal rotor 10 distortion.Castellated shape is: for the castellated shape S that is made of circular curve
1, than its top circle A
1Diameter is little and than its teeth groove circle A
2The round D that diameter is big
1The outside, with castellated shape S
1To external diameter direction distortion, than round D
1Diameter is little and than its teeth groove circle A
2The round D that diameter is big
2The inboard, with castellated shape S
1To internal diameter direction distortion, wherein above-mentioned circular curve is by 2 arc representations that tooth top portion and teeth groove portion are joined each other.
Figure 14 is the explanatory drawing that is used to form the internal rotor 10 of Figure 13.Figure 14 (a) is and constitutes castellated shape S
1The relevant explanatory drawing of circular curve, Figure 14 (b) is and this castellated shape S
1The relevant explanatory drawing of distortion.
In Figure 14 (a), constitute castellated shape S
1Circular curve represent with following formula (41) to (46).
(X
50-X
60)
2+ (Y
50-Y
60)
2=(r
50+ r
60)
2Formula (41)
X
60=(R
A2+ r
60) cos θ
60Formula (42)
Y
60=(R
A2+ r
60) sin θ
60Formula (43)
X
50=R
A1-r
50Formula (44)
Y
50=0 formula (45)
θ
60=π/n formula (46)
Make center O here, by internal rotor 10
1Straight line be X-axis, make and X-axis quadrature and the center O by internal rotor 10
1Straight line be Y-axis, (X
50, Y
50) be the centre coordinate that forms the circular arc of tooth top portion, (X
60, Y
60) be the centre coordinate that forms the circular arc of teeth groove portion, r
50Be the radius that forms the circular arc of tooth top portion, r
60Be the radius that forms the circular arc of teeth groove portion, θ
60Be the center of the circular arc by forming tooth top portion and the center O of internal rotor 10
1Straight line, with the center of circular arc by forming teeth groove portion and the center O of internal rotor 10
1The straight line angulation.
In addition, in Figure 14 (b), as being used to make this castellated shape S
1The deformation type that is out of shape, is represented with following formula (51) to (54) for the teeth groove side with following formula (47) to (50) expression for the tooth top side.
R
51=(X
51 2+ Y
51 2)
1/2Formula (47)
θ
51=arccos (X
51/ R
51) formula (48)
X
52={ (R
51-R
D1) * β
50+ R
D1} * cos θ
51Formula (49)
Y
52={ (R
51-R
D1) * β
50+ R
D1) * sin θ
51Formula (50)
Here, (X
51, Y
51) be the coordinate that forms the point on the circular arc of tooth top portion, R
51It is center O from internal rotor 10
1To coordinate (X
51, Y
51) distance, θ
51It is center O by internal rotor 10
1And coordinate (X
51, Y
51) straight line and X-axis angulation, (X
52, Y
52) be the coordinate of the tooth top shape after the distortion, β
50It is the correction factor that is used to be out of shape.
R
61=(X
61 2+ Y
61 2)
1/2Formula (51)
θ
61=arccos (X
61/ R
61) formula (52)
X
62={ R
D2-(R
D2-R
61) * β
60} * cos θ
61Formula (53)
Y
62={ R
D2-(R
D2-R
61) * β
60} * sin θ
61Formula (54)
Here, (X
61, Y
61) be the coordinate that forms the point on the circular arc of teeth groove portion, R
61It is center O from internal rotor 10
1To coordinate (X
61, Y
61) distance, θ
61It is center O by internal rotor 10
1And coordinate (X
61, Y
61) straight line and X-axis angulation, (X
62, Y
62) be the coordinate of the slot form after the distortion, β
60It is the correction factor that is used to be out of shape.
In addition, Figure 15 illustrates the shape of the distortion front and back of external rotor 20.With internal rotor 10 in the same manner, castellated shape is: for the castellated shape S that is made of circular curve
2, justifying B than its teeth groove
1Diameter is little and than its top circle B
2The round D that diameter is big
3The outside, with castellated shape S
2To external diameter direction distortion, than round D
3Diameter is little and than its top circle B
2The round D that diameter is big
4The inboard, with castellated shape S
2To internal diameter direction distortion, wherein above-mentioned circular curve is by 2 arc representations that tooth top portion and teeth groove portion are joined each other.
Figure 16 is the explanatory drawing that is used to form the external rotor 20 of Figure 15.In Figure 16, Figure 16 (a) is and constitutes castellated shape S
2The relevant explanatory drawing of circular curve, Figure 16 (b) is and this castellated shape S
2The relevant explanatory drawing of distortion.
In Figure 16 (a), constitute castellated shape S
2Circular curve represent with following formula (101) to (106).
(X
70-X
80)
2+ (Y
70-Y
80)
2=(r
70+ r
80)
2Formula (101)
X
80=(R
B2+ r
80) cos θ
80Formula (102)
Y
80=(R
B2+ r
80) sin θ
80Formula (103)
X
70=R
B1-r
70Formula (104)
Y
70=0 formula (105)
θ
80The formula (106) of=π/(n+1)
Make center O here, by external rotor 20
2Straight line be X-axis, make and X-axis quadrature and the center O by external rotor 20
2Straight line be Y-axis, (X
70, Y
70) be the centre coordinate that forms the circular arc of teeth groove portion, (X
80, Y
80) be the centre coordinate that forms the circular arc of tooth top portion, r
70Be the radius that forms the circular arc of teeth groove portion, r
80Be the radius that forms the circular arc of tooth top portion, θ
80Be the center of the circular arc by forming tooth top portion and the center O of external rotor 20
2Straight line, with the center of circular arc by forming teeth groove portion and the center O of external rotor 20
2The straight line angulation.
In addition, in Figure 16 (b), as being used for to this castellated shape S
2The deformation type that is out of shape, is represented with following formula (111) to (114) for the tooth top side with following formula (107) to (110) expression for the teeth groove side.
R
71=(X
71 2+ Y
71 2)
1/2Formula (107)
θ
71=arccos (X
71/ R
71) formula (108)
X
72={ (R
71-R
D3) * β
70+ R
D3} * cos θ
71Formula (109)
Y
72={ (R
71-R
D3) * β
70+ R
D3} * sin θ
71Formula (110)
Here, (X
71, Y
71) be the coordinate that forms the point on the circular arc of teeth groove portion, R
71It is center O from external rotor 20
2To coordinate (X
71, Y
71) distance, θ
71It is center O by external rotor 20
2And coordinate (X
71, Y
71) straight line and X-axis angulation, (X
72, Y
72) be the coordinate of the slot form after the distortion, β
70It is the correction factor that is used to be out of shape.
R
81=(X
81 2+ Y
81 2)
1/2Formula (111)
θ
81=arccos (X
81/ R
81) formula (112)
X
82={ R
D4-(R
D4-R
81) * β
80} * cos θ
81Formula (113)
Y
82={ R
D4-(R
D4-R
81) * β
80} * sin θ
81Formula (114)
Here, (X
81, Y
81) be the coordinate that forms the point on the circular arc of tooth top portion, R
81It is center O from external rotor 20
2To coordinate (X
81, Y
81) distance, θ
81It is center O by external rotor 20
2And coordinate (X
81, Y
81) straight line and X-axis angulation, (X
82, Y
82) be the coordinate of the tooth top shape after the distortion, β
80It is the correction factor that is used to be out of shape.
In addition, form the aforementioned calculation formula of the internal tooth shape of above-mentioned external rotor 20, satisfy the relation of following formula (115) to (117) with respect to internal rotor 10.
e
50＝〔{(R
A1-R
D1)×β
50+R
D1}
-{ R
D2-(R
D2-R
A2) * β
60)/2+d
50Formula (115)
R
B1’＝3/2〔{R
A1-R
D1}×β
50+R
D1〕
-1/2 * { R
D2-(R
D2-R
A2) * β
60}+d
60Formula (116)
R
B2’＝〔{(R
A1-R
D1)×β
50+R
D1}
+ { R
D2-(R
D2-R
A2) * β
60)/2+d
70Formula (117)
Here, e
50It is the center O of internal rotor
1Center O with external rotor
2Between distance (offset), R
B1' be the teeth groove circle radius of the external rotor 20 after the distortion, R
B2' be the Outside radius of the external rotor 20 after the distortion, d
50, d
60, d
70Be to be used to make external rotor have the gap and the corrected value that rotates.
Mode of execution 4
The mode of execution 4 of oil hydraulic-pump rotor involved in the present invention as shown in figure 17.
Oil pump shown in Figure 17 has: internal rotor 10, and it forms 9 external tooths 11; External rotor 20,10 internal tooths 21 of external tooth 11 engagements of its formation and internal rotor 10; And housing 50, the exhaust port 41 that it form to suck the suction port 40 of fluid and discharges fluid two rotor engaged and when being rotated, utilizes the volume-variation of the chamber 30 that forms and sucks, discharges fluid between the flank of tooth of two rotors, thus conveyance fluid.
In addition, the internal rotor 10 in the present embodiment, have shown in above-mentioned mode of execution 1 with the castellated shape after the cycloidal curve distortion, but its distortion only is to internal diameter direction (teeth groove side), does not carry out the distortion to external diameter direction (tooth top side).
Figure 18 is the explanatory drawing about the formation of the external rotor 20 that is suitable for meshing with this internal rotor 10.
Shown in Figure 18 (a), at first, make center O by internal rotor 10
1Straight line be X-axis, make and X-axis quadrature and the center O by internal rotor 10
1Straight line be Y-axis, make the center O of internal rotor 10
1Be initial point.In addition, as center O from internal rotor 10
1Apart from the position of predetermined distance e, obtain coordinate (e, 0), will with this coordinate (e, 0) the circle conduct circle D of radius centered e.
At first, if make the center O of internal rotor 10
1Circumference along this circle D revolves round the sun clockwise with angular velocity omega, and internal rotor 10 then shown in Figure 18 (a), can form envelope Z counterclockwise with angular velocity omega/n (n is a number of inner teeth) rotation simultaneously
0In addition, in Figure 18, the center O that will observe internal rotor 10 when beginning to revolve round the sun from the center (e, 0) of circle D
1Angle, be that the negative direction of X-axis is as revolution angle 0 direction, with along with dextrorotation then the mode of value increase obtains the revolution angle.
Here, for this envelope Z
0, carrying out operation as described below in order to obtain following curve, this curve is to make envelope Z at least
0And be out of shape to the external diameter direction near the cross section of the axle of revolution angle 0 direction, make envelope Z simultaneously
0With revolution angle θ
2Near the cross section of the axle of (=π/(n+1)) direction, with the cross section of the axle of the direction of above-mentioned revolution angle 0 near compare, little or equally be out of shape along the distortion of external diameter direction along the external diameter direction.
As mentioned above, in the center O that makes internal rotor 10
1When revolving round the sun on one side along the circumference rotation on one side of circle D, in the revolution angle more than or equal to 0 and be less than or equal to θ
1During, the tooth top shape that makes internal rotor 10 is according to expansion correction factor β
1To external diameter direction distortion, in the revolution angle more than or equal to θ
1During 2 π, the tooth top shape that makes internal rotor 10 is according to expansion correction factor β
2Be out of shape to the external diameter direction.Wherein, expansion correction factor β
2Value less than expansion correction factor β
1Value.In addition, in the present embodiment, these expansion correction factors β
1And β
2The correction factor β that is equivalent to above-mentioned mode of execution 1
10
Owing to, shown in Figure 18 (a), be positioned at dotted line I at internal rotor 10 by aforesaid operations
0The position time, according to expansion correction factor β
1To the distortion of external diameter direction, be positioned at dotted line I
1The position time, according to expansion correction factor β
2With with β
1Situation under compare lessly to the distortion of external diameter direction, so the envelope Z that obtains in the case
1Be shaped as, with envelope Z
0Compare, with near the cross section of the axle of revolution angle 0 direction to the distortion of external diameter direction, simultaneously and revolution angle θ
2Near the cross section of the axle of direction, with the cross section of the axle of revolution angle 0 direction near the distortion of external diameter direction compare lessly and be out of shape to the external diameter direction.
And, shown in Figure 18 (b), at this envelope Z
1In, will with the revolution angle more than or equal to 0 and be less than or equal to θ
2The angle regional W (axle of revolution angle 0 direction and the revolution angle θ that determine
2Zone between the axle of direction) part that comprises in is as part envelope PZ
1Extract.
And, with the part envelope PZ that extracts
1With the center (e, 0) of justifying D is that basic point rotates minute angle α to the revolution direction, will excise by the part that rotation extends to outside the regional W simultaneously, and will be at part envelope PZ
1And the clearance G that produces between the axle of revolution angle 0 direction connects, thereby forms retouch envelope MZ
1In addition, in the present embodiment, clearance G connects with straight line, but is not limited to straight line, also can connect with curve.
In addition, by with this retouch envelope MZ
1Duplicating axisymmetrically and form part profile of tooth PT with respect to the axle of revolution angle 0 direction, be basic point with this part profile of tooth PT with the center (e, 0) of justifying D, be rotated every angle 2 π/(n+1) and duplicate, thus the castellated shape of formation external rotor 20.
By using with envelope Z
0The envelope Z of the above-mentioned formation of distortion
1Form external rotor, can guarantee the suitable gap between internal rotor 10 and the external rotor 20.In addition, by with part envelope PZ
1α is rotated with minute angle, can obtain suitable backlash.Thus, can obtain be out of shape after internal rotor 10 external rotor 20 that meshes smoothly and rotate.
In addition, in the present embodiment, external rotor 20 forms: the number of teeth of internal rotor=9, the Outside radius R of the internal rotor before the distortion
A1=21.3mm, the basic circle D during the internal rotor distortion
1Radius R
D=20.3mm, the expansion correction factor is from β
1To β
2The angle θ that changes
1=90 °, from envelope Z
1The part envelope PZ that extracts
1Angle θ
2=18 °, expansion correction factor β
1=1.0715, β
2=1.05, e=3.53mm, α=0.08 °.
Mode of execution 5
The mode of execution 5 of oil hydraulic-pump rotor involved in the present invention is described based on Figure 19 to Figure 20.
Oil pump shown in Figure 19 has: internal rotor 10, and it forms the individual external tooth of n (n is natural number, n=6 in the present embodiment); External rotor 20, it forms the individual internal tooth of n+1 (being 7 in the present embodiment) with each external tooth 11 engagement; And housing 50, it forms suction port 40 that sucks fluid and the exhaust port 41 of discharging fluid, and these internal rotors 10 and external rotor 20 are housed in the inside of housing 50.
Between the flank of tooth of internal rotor 10, external rotor 20, along the sense of rotation formation chamber 30 of two rotors 10,20.Each chamber 30 is at the sense of rotation front side and the rear side of two rotors 10,20, utilizes the internal tooth 21 of the external tooth 11 of internal rotor 10 and external rotor 20 to contact respectively and separates, and make bi-side utilize housing 50 to separate, and forms the FLUID TRANSPORTATION chamber thus.In addition, chamber 30 rotates as 1 cycle with 1 time along with the rotation of two rotors 10,20, carries out increase, the minimizing of volume repeatedly.
φ E=n * (φ E1 * α 1+ φ E2 * α 2) formula (201)
φ F=(n+1) * (φ F1 * β 1+ φ F2 * β 2) formula (202)
φ E1+ φ E2+H1=φ F1+ φ F2+H2=2C formula (203)
In above-mentioned formula (201), (202), (203), make the diameter of the basic circle E of internal rotor 10 be
E makes the diameter of the 1st outer round as a ball E1 be
E1 makes the diameter of round as a ball E2 in the 1st be
E2 makes the diameter of the basic circle F of external rotor be
F makes the diameter of the 2nd outer round as a ball F1 be
F1 makes the diameter of round as a ball F2 in the 2nd be
F2, making the offset between internal rotor 10 and the external rotor 20 is C, making the correction factor of outer round as a ball E1 is α 1, the correction factor of round as a ball E2 is α 2 in making, making the correction factor of outer round as a ball F1 is β 1, and the correction factor of round as a ball F2 is β 2 in making, and the correction factor that makes offset C is H1, H2.
Be described based on Figure 20.For 1 the circumscribed cycloidal curve U that utilizes the 1st outer round as a ball formation
1, its starting point is positioned on the X-axis, make and will carry out the terminal point and the axle center O in 1 when rotation
1The straight line that links is V
1(with the X-axis angulation be θ
V1).For this circumscribed cycloidal curve U
1Yi Bian, keep basic circle E and radius R
A1Top circle between distance, Yi Bian carry out from V
1To V
1' (straight line V
1' and X-axis angulation θ
V1'＜θ
V1) compressive strain, form revised circumscribed cycloidal curve U
1'.
In the same manner, for inscribe cycloidal curve U
2, make inscribe cycloidal curve U
2End points and axes O
1The straight line that links is V
2(with the X-axis angulation be θ
V2).And, for this inscribe cycloidal curve U
2Yi Bian, keep the distance between the teeth groove circle of basic circle E and radius R x, Yi Bian carry out from V
2To V
2' (straight line V
2' and X-axis angulation θ
V2'＜θ
V2) compressive strain, form revised inscribe cycloidal curve U
2'.
The situation of internal rotor 10 more than is described, but the situation of external rotor 20 is also identical.By each cycloidal curve is carried out this distortion, make the profile of tooth of tooth top and the profile of tooth distortion of teeth groove.
Here, for internal rotor 10, must the correction rolling distance of round as a ball E2 in the 1st outer round as a ball E1 and the 1st is closed in 1 circumference.That is, because the correction rolling distance sum of round as a ball E2 must equate with the circumference of basic circle E in the 1st outer round as a ball E1 and the 1st, so
π×
E＝n(π×
E1×α1+π×
E2×α2)
That is,
E=n * (
E1 * α 1+
E2 * α 2) formula (201)
In the same manner, for external rotor 20, because the correction rolling distance sum of round as a ball F2 must equate with the circumference of basic circle F in the 2nd outer round as a ball F1 and the 2nd, so
π×
F＝(n+1)×(π×
F1×β1+π×
F2×β2)
That is,
F=(n+1) * (
F1 * β 1+
F2 * β 2) formula (202)
In addition, because internal rotor 10 and external rotor 20 engagements, so must satisfy
The relation of φ E1+ φ E2+H1=φ F1+ φ F2+H2=2C formula (203), so that on the engaging position of internal rotor 10 and external rotor 20, the basic circle E of internal rotor 10 and the basic circle F of external rotor 20 do not join.
Here, correction factor α 1, α 2, β 1, β 2 and correction factor H1, H2 for the gap between internal rotor and the external rotor is set at specified value, suitably adjust in following ranges.
0＜α1、α2、β1、β2＜1，-1＜H1、H2＜1
In addition, in the present embodiment, satisfy above-mentioned relation and the internal rotor 10 that constitutes (basic circle E is
E=24.0000mm, the 1st outer round as a ball E1 is
E1=3.000mm, the 1st interior round as a ball E2 is
E2=2.7778mm, number of teeth n=6, correction factor α 1=0.7500, α 2=0.6300) and external rotor 20 (external diameter is
40.0mm basic circle F is
F=29.8778mm, the 2nd outer round as a ball F1 is
F1=3.0571mm, the 2nd interior round as a ball F2 is
F=2.7178mm, correction factor β 1=0.8650mm, β 2=0.5975mm, H1=0.0000 H2=0.0029), constitutes oil hydraulic-pump rotor with offset C=2.8889 combination.
In housing 50, in the chamber 30 that between the flank of tooth of two rotors 10,20, forms, form circular-arc suction port 40 along the chamber 30 that is in the volume increase process, form circular-arc exhaust port 41 along the chamber 30 that is in the volume reducing process simultaneously.
Other mode of executions
In above-mentioned mode of execution 1 to 3, constitute in the mode that both of the tooth top side of internal rotor 10 and external rotor 20 and teeth groove side are out of shape, but also can be out of shape,, also be out of shape with being mated and constitute for external rotor to the tooth top side of internal rotor or any one in the teeth groove side.In addition, in above-mentioned mode of execution 4, be only with the teeth groove side deformed configurations of internal rotor 10, but also can be that both carry out deformed configurations with tooth top side or tooth top side and teeth groove side.
In any one above-mentioned mode of execution, with external rotor 20 distortion, can increase the volume of chamber 30 by the distortion that is accompanied by internal rotor 10, increase discharge capacity as oil pump.
The industry practicality
The lubricating oil that the present invention can be used as automobile with pump or automatic transmission with utilizations such as oil pumps.
Claims (5)
1. oil hydraulic-pump rotor, it uses in oil pump, and this oil hydraulic-pump rotor has:
Internal rotor, it forms n external tooth, and wherein n is a natural number;
External rotor, it forms n+1 internal tooth with the aforementioned external teeth engagement; And
Housing, it forms suction port that sucks fluid and the exhaust port of discharging fluid,
When being rotated, utilize the volume-variation of the chamber that between the flank of tooth of two rotors, forms to suck, discharge fluid two rotor engaged, thus conveyance fluid,
The external tooth shape of above-mentioned internal rotor forms by following distortion, that is, and and with respect to the top circle A of the castellated shape that forms by mathematic curve
1Radius R
A1With teeth groove circle A
2Radius R
A2,
R
A1＞R
D1＞R
A2Formula (1)
R
A1＞R
D2＞R
A2Formula (2)
R
D1〉=R
D2Formula (3)
Be positioned at the radius R that satisfies formula (1) to the major general
D1Round D
1The above-mentioned castellated shape in the outside is out of shape to the external diameter direction,
The external tooth shape of above-mentioned internal rotor forms by following distortion,, will be positioned at the radius R that satisfies formula (1) that is
D1Round D
1The above-mentioned castellated shape in the outside is out of shape to the external diameter direction, and will be positioned at the radius R that satisfies formula (2) and formula (3)
D2Round D
2Inboard above-mentioned castellated shape is out of shape to internal diameter direction,
It is characterized in that,
Above-mentioned mathematic curve is formula (4)～(8) represented cycloidal curve, and the external tooth shape of above-mentioned internal rotor forms, to above-mentioned round D
1The situation of outside distortion under, will be by coordinate that formula (9)～(12) form as the tooth top shape, to above-mentioned round D
2The situation of inboard distortion under, will be by coordinate that formula (13)～(16) form as slot form,
X
10＝(R
A+R
a1)×cosθ
10
-R
A1* cos ({ (R
A+ R
A1)/R
A1} * θ
10) formula (4)
Y
10＝(R
A+R
a1)×sinθ
10
-R
A1* sin ({ (R
A+ R
A1)/R
A1} * θ
10) formula (5)
X
20＝(R
A-R
a2)×cosθ
20
+ R
A2* cos ({ (R
A2-R
A)/R
A2} * θ
20) formula (6)
Y
20＝(R
A-R
a2)×sinθ
20
+ R
A2* sin ({ (R
A2-R
A)/R
A2} * θ
20) formula (7)
R
A=n * (R
A1+ R
A2) formula (8)
Wherein,
Making the straight line at the center by internal rotor is X-axis,
Making the straight line with X-axis quadrature and the center by internal rotor is Y-axis,
R
ABe the Base radius of cycloidal curve,
R
A1Be the outer rolling circle radius of cycloidal curve,
R
A2Be the interior rolling circle radius of cycloidal curve,
θ
10Be straight line and X-axis angulation by the center of round as a ball outward center and internal rotor,
θ
20Be the straight line and the X-axis angulation at the center by interior round as a ball center and internal rotor,
(X
10, Y
10) be coordinate by the outer round as a ball cycloidal curve that forms,
(X
20, Y
20) be coordinate by the interior round as a ball cycloidal curve that forms,
R
11=(X
10 2+ Y
10 2)
1/2Formula (9)
θ
11=arccos (X
10/ R
11) formula (10)
X
11={ (R
11-R
D1) * β
10+ R
D1} * cos θ
11Formula (11)
Y
11={ (R
11-R
D1) * β
10+ R
D1} * sin θ
11Formula (12)
Wherein,
R
11Be that center from internal rotor is to coordinate (X
10, Y
10) distance,
θ
11Be by internal rotor center and coordinate (X
10, Y
10) straight line and X-axis angulation,
(X
11, Y
11) be the coordinate of the tooth top shape after the distortion,
β
10Be the correction factor that is used to be out of shape,
R
21=(X
20 2+ Y
20 2)
1/2Formula (13)
θ
21=arccos (X
20/ R
21) formula (14)
X
21={ R
D2-(R
D2-R
21) * β
20} * cos θ
21Formula (15)
Y
21={ R
D2-(R
D2-R
21) * β
20} * sin θ
21Formula (16)
Wherein,
R
21Be that center from internal rotor is to coordinate (X
20, Y
20) distance,
θ
21Be by internal rotor center and coordinate (X
20, Y
20) straight line and X-axis angulation,
(X
21, Y
21) be the coordinate of the slot form after the distortion,
β
20It is the correction factor that is used to be out of shape.
2. oil hydraulic-pump rotor according to claim 1 is characterized in that,
Be shaped as with the internal tooth of the above-mentioned external rotor of above-mentioned internal rotor engagement, with respect in the castellated shape that forms by cycloidal curve with formula (61)～(65) expression, teeth groove justifies B
1Radius R
B1With top circle B
2Radius R
B2, satisfying
R
B1＞R
D3＞R
B2Radius R
D3Round D
3The situation of outside distortion under, will be by curve that formula (66)～(69) form as slot form, satisfied
R
B1＞R
D4＞R
B2And R
D3〉=R
D4Radius R
D4Round D
4The situation of inboard distortion under, will be by curve that formula (70)～(73) form as the tooth top shape, the while is satisfied the relation of formula (74)～(76) with above-mentioned internal rotor,
X
30＝(R
B+R
b1)cosθ
30
-R
B1* cos ({ (R
B+ R
B1)/R
B1} * θ
30) formula (61)
Y
30＝(R
B+R
b1)sinθ
30
-R
B1* sin ({ (R
B+ R
B1)/R
B1} * θ
30) formula (62)
X
40＝(R
B-R
b2)cosθ
40
+ R
B2* cos ({ (R
B2-R
B)/R
B2} * θ
40) formula (63)
Y
40＝(R
B-R
b2)sinθ
40
+ R
B2* sin ({ (R
B2-R
B)/R
B2} * θ
40) formula (64)
R
B=(n+1) * (R
B1+ R
B2) formula (65)
Wherein,
Making the straight line by the external rotor center is X-axis,
Make with X-axis quadrature and the straight line by the external rotor center be Y-axis,
R
BBe the Base radius of cycloidal curve,
R
B1Be the outer rolling circle radius of cycloidal curve,
R
B2Be the interior rolling circle radius of cycloidal curve,
θ
30Be straight line and X-axis angulation by the center of round as a ball outward center and external rotor,
θ
40Be straight line and X-axis angulation by the center of interior round as a ball center and external rotor,
(X
30, Y
30) be coordinate by the outer round as a ball cycloidal curve that obtains,
(X
40, Y
40) be coordinate by the interior round as a ball cycloidal curve that obtains,
R
31=(X
30 2+ Y
30 2)
1/2Formula (66)
θ
31=arccos (X
30/ R
31) formula (67)
X
31={ (R
31-R
D3) * β
30+ R
D3} * cos θ
31Formula (68)
Y
31={ (R
31-R
D3) * β
30+ R
D3} * sin θ
31Formula (69)
Wherein,
R
31Be that center from external rotor is to coordinate (X
30, Y
30) distance,
θ
31Be by external rotor center and coordinate (X
30, Y
30) straight line and X-axis angulation,
(X
31, Y
31) be the coordinate of the slot form after the distortion,
β
30Be the correction factor that is used to be out of shape,
R
41=(X
40 2+ Y
40 2)
1/2Formula (70)
θ
41=arccos (X
40/ R
41) formula (71)
X
41={ R
D4-(R
D4-R
41) * β
40} * cos θ
41Formula (72)
Y
41={ R
D4-(R
D4-R
41) * β
40} * sin θ
41Formula (73)
Wherein,
R
41Be that center from external rotor is to coordinate (X
40, Y
40) distance,
θ
41Be by external rotor center and coordinate (X
40, Y
40) straight line and X-axis angulation,
(X
41, Y
41) be the coordinate of the tooth top shape after the distortion,
β
40Be the correction factor that is used to be out of shape,
e
10＝〔{(R
A+2×R
a1)-R
D1}×β
10+R
D1〕-〔R
D2-{R
D2
-(R
A-2 * R
A2) * β
20)/2+d
10Formula (74)
R
B10’＝3/2×〔{(R
A+2×R
a1)-R
D1}×β
10+R
D1〕-1/2
* (R
D2-{ R
D2-(R
A-2 * R
A2) * β
20)+d
20Formula (75)
R
B20’＝[〔{(R
A+2×R
a1)-R
D1}×β
10+R
D1〕+〔R
D2-
{ R
D2-(R
A-2 * R
A2) * β
20)]/2+d
30Formula (76)
Wherein,
e
10Be the distance between the center of the center of internal rotor and external rotor, i.e. offset,
R
B10' be the teeth groove circle radius of the external rotor after the distortion,
R
B20' be the Outside radius of the external rotor after the distortion,
d
10, d
20, d
30Be to be used to make external rotor have the gap and the corrected value that rotates.
3. oil hydraulic-pump rotor, it uses in oil pump, and this oil hydraulic-pump rotor has:
Internal rotor, it forms n external tooth, and wherein n is a natural number;
External rotor, it forms n+1 internal tooth with the aforementioned external teeth engagement; And
Housing, it forms suction port that sucks fluid and the exhaust port of discharging fluid,
When being rotated, utilize the volume-variation of the chamber that between the flank of tooth of two rotors, forms to suck, discharge fluid two rotor engaged, thus conveyance fluid,
It is characterized in that,
The external tooth shape of above-mentioned internal rotor, by at least a formation the in the following distortion, that is, and with respect to the top circle A of the castellated shape that forms by mathematic curve
1Radius R
A1With teeth groove circle A
2Radius R
A2,
R
A1＞R
D1＞R
A2Formula (1)
R
A1＞R
D2＞R
A2Formula (2)
R
D1〉=R
D2Formula (3)
To be positioned at the radius R that satisfies formula (1)
D1Round D
1The above-mentioned castellated shape in the outside perhaps will be positioned at the radius R that satisfies formula (2) and formula (3) to the distortion of external diameter direction
D2Round D
2Inboard above-mentioned castellated shape is out of shape to internal diameter direction,
Here, above-mentioned mathematic curve is formula (4)～(8) represented cycloidal curve, and the external tooth shape of above-mentioned internal rotor forms, to above-mentioned round D
1The situation of outside distortion under, will be by coordinate that formula (9)～(12) form as the tooth top shape, to above-mentioned round D
2The situation of inboard distortion under, will be by coordinate that formula (13)～(16) form as slot form,
X
10＝(R
A+R
a1)×cosθ
10
-R
A1* cos ({ (R
A+ R
A1)/R
A1} * θ
10) formula (4)
Y
10＝(R
A+R
a1)×sinθ
10
-R
A1* sin ({ (R
A+ R
A1)/R
A1} * θ
10) formula (5)
X
20＝(R
A-R
a2)×cosθ
20
+ R
A2* cos ({ (R
A2-R
A)/R
A2} * θ
20) formula (6)
Y
20＝(R
A-R
a2)×sinθ
20
+ R
A2* sin ({ (R
A2-R
A)/R
A2} * θ
20) formula (7)
R
A=n * (R
A1+ R
A2) formula (8)
Wherein,
Making the straight line at the center by internal rotor is X-axis,
Making the straight line with X-axis quadrature and the center by internal rotor is Y-axis,
R
ABe the Base radius of cycloidal curve,
R
A1Be the outer rolling circle radius of cycloidal curve,
R
A2Be the interior rolling circle radius of cycloidal curve,
θ
10Be straight line and X-axis angulation by the center of round as a ball outward center and internal rotor,
θ
20Be the straight line and the X-axis angulation at the center by interior round as a ball center and internal rotor,
(X
10, Y
10) be coordinate by the outer round as a ball cycloidal curve that forms,
(X
20, Y
20) be coordinate by the interior round as a ball cycloidal curve that forms,
R
11=(X
10 2+ Y
10 2)
1/2Formula (9)
θ
11=arccos (X
10/ R
11) formula (10)
X
11={ (R
11-R
D1) * β
10+ R
D1} * cos θ
11Formula (11)
Y
11={ (R
11-R
D1) * β
10+ R
D1} * sin θ
11Formula (12)
Wherein,
R
11Be that center from internal rotor is to coordinate (X
10, Y
10) distance,
θ
11Be by internal rotor center and coordinate (X
10, Y
10) straight line and X-axis angulation,
(X
11, Y
11) be the coordinate of the tooth top shape after the distortion,
β
10Be the correction factor that is used to be out of shape,
R
21=(X
20 2+ Y
20 2)
1/2Formula (13)
θ
21=arccos (X
20/ R
21) formula (14)
X
21={ R
D2-(R
D2-R
21) * β
20} * cos θ
21Formula (15)
Y
21={ R
D2-(R
D2-R
21) * β
20} * sin θ
21Formula (16)
Wherein,
R
21Be that center from internal rotor is to coordinate (X
20, Y
20) distance,
θ
21Be by internal rotor center and coordinate (X
20, Y
20) straight line and X-axis angulation,
(X
21, Y
21) be the coordinate of the slot form after the distortion,
β
20It is the correction factor that is used to be out of shape.
4. oil hydraulic-pump rotor, it uses in oil pump, and this oil hydraulic-pump rotor has:
Internal rotor, it forms n external tooth, and wherein n is a natural number;
External rotor, it forms n+1 internal tooth with the aforementioned external teeth engagement; And
Housing, it forms suction port that sucks fluid and the exhaust port of discharging fluid,
When being rotated, utilize the volume-variation of the chamber that between the flank of tooth of two rotors, forms to suck, discharge fluid two rotor engaged, thus conveyance fluid,
It is characterized in that,
The external tooth shape of above-mentioned internal rotor, by at least a formation the in the following distortion, that is, and with respect to the top circle A of the castellated shape that forms by mathematic curve
1Radius R
A1With teeth groove circle A
2Radius R
A2,
R
A1＞R
D1＞R
A2Formula (1)
R
A1＞R
D2＞R
A2Formula (2)
R
D1〉=R
D2Formula (3)
To be positioned at the radius R that satisfies formula (1)
D1Round D
1The above-mentioned castellated shape in the outside perhaps will be positioned at the radius R that satisfies formula (2) and formula (3) to the distortion of external diameter direction
D2Round D
2Inboard above-mentioned castellated shape is out of shape to internal diameter direction,
Here, above-mentioned mathematic curve is the envelope that has the circular arc E group at center on the trochoid curves by formula (21)～(26) decision, and the external tooth shape of above-mentioned internal rotor forms, with respect to above-mentioned top circle A
1With above-mentioned teeth groove circle A
2, at above-mentioned round D
1The situation of outside distortion under, will be by coordinate that formula (27)～(30) form as the tooth top shape, at above-mentioned round D
2The situation of inboard distortion under, will be by coordinate that formula (31)～(34) form as slot form,
X
100=(R
H+ R
I) * cos θ
100-e
K* cos θ
101Formula (21)
Y
100=(R
H+ R
I) * sin θ
100-e
K* sin θ
101Formula (22)
θ
101=(n+1) * θ
100Formula (23)
R
H=n * R
IFormula (24)
X
101=X
100± R
J/ { 1+ (dX
100/ dY
100)
2}
1/2Formula (25)
Y
101=Y
100± R
J/ { 1+ (dY
100/ dX
100)
2}
1/2Formula (26)
Wherein,
Making the straight line by the internal rotor center is X-axis,
Make with X-axis quadrature and the straight line by the internal rotor center be Y-axis,
(X
100, Y
100) be the coordinate on the trochoid curves,
R
HBe the radius of trochoid basic circle,
R
IBe trochoid generation radius of a circle,
e
KBe the distance between the center of trochoid generation circle and the point that produces trochoid curves,
θ
100Be straight line and the X-axis angulation that the center of round center and internal rotor takes place by trochoid,
θ
101Be the center of circle and the straight line and the X-axis angulation of the point that produces trochoid curves to take place by trochoid,
(X
101, Y
101) be the coordinate on the envelope,
R
JBe the radius that forms the circular arc E of envelope,
R
11=(X
101 2+ Y
101 2)
1/2Formula (27)
θ
102=arccos (X
101/ R
11) formula (28)
X
102={ (R
11-R
D1) * β
100+ R
D1} * cos θ
102Formula (29)
Y
102={ (R
11-R
D1) * β
100+ R
D1} * sin θ
102Formula (30)
Wherein,
R
11Be that center from internal rotor is to coordinate (X
101, Y
101) distance,
θ
102Be by internal rotor center and coordinate (X
101, Y
101) straight line and X-axis angulation,
(X
102, Y
102) be the coordinate of the tooth top shape after the distortion,
β
100Be the correction factor that is used to be out of shape,
R
21=(X
101 2+ Y
101 2)
1/2Formula (31)
θ
103=arccos (X
101/ R
21) formula (32)
X
103={ R
D2-(R
D2-R
21) * β
101} * cos θ
103Formula (33)
Y
103={ R
D2-(R
D2-R
21) * β
101} * sin θ
103Formula (34)
Wherein,
R
21Be that center from internal rotor is to coordinate (X
101, Y
101) distance,
θ
103Be by internal rotor center and coordinate (X
101, Y
101) straight line and X-axis angulation,
(X
103, Y
103) be the coordinate of the slot form after the distortion,
β
101It is the correction factor that is used to be out of shape.
5. oil hydraulic-pump rotor, it uses in oil pump, and this oil hydraulic-pump rotor has:
Internal rotor, it forms n external tooth, and wherein n is a natural number;
External rotor, it forms n+1 internal tooth with the aforementioned external teeth engagement; And
Housing, it forms suction port that sucks fluid and the exhaust port of discharging fluid,
When being rotated, utilize the volume-variation of the chamber that between the flank of tooth of two rotors, forms to suck, discharge fluid two rotor engaged, thus conveyance fluid,
It is characterized in that,
The external tooth shape of above-mentioned internal rotor, by at least a formation the in the following distortion, that is, and with respect to the top circle A of the castellated shape that forms by mathematic curve
1Radius R
A1With teeth groove circle A
2Radius R
A2,
R
A1＞R
D1＞R
A2Formula (1)
R
A1＞R
D2＞R
A2Formula (2)
R
D1〉=R
D2Formula (3)
To be positioned at the radius R that satisfies formula (1)
D1Round D
1The above-mentioned castellated shape in the outside perhaps will be positioned at the radius R that satisfies formula (2) and formula (3) to the distortion of external diameter direction
D2Round D
2Inboard above-mentioned castellated shape is out of shape to internal diameter direction,
Here, above-mentioned mathematic curve is formed by 2 circular arcs that tooth top portion and teeth groove portion are joined each other, is that the external tooth shape of above-mentioned internal rotor forms, at above-mentioned round D with the circular curve of formula (41)～(46) expression
1The situation of outside distortion under, will be by coordinate that formula (47)～(50) form as the tooth top shape, at above-mentioned round D
2The situation of inboard distortion under, will be by coordinate that formula (51)～(54) form as slot form,
(X
50-X
60)
2+ (Y
50-Y
60)
2=(r
50+ r
60)
2Formula (41)
X
60=(R
A2+ r
60) cos θ
60Formula (42)
Y
60=(R
A2+ r
60) sin θ
60Formula (43)
X
50=R
A1-r
50Formula (44)
Y
50=0 formula (45)
θ
60=π/n formula (46)
Wherein,
Making the straight line by the internal rotor center is X-axis,
Make with X-axis quadrature and the straight line by the internal rotor center be Y-axis,
(X
50, Y
50) be the coordinate at center that forms the circular arc of tooth top portion,
(X
60, Y
60) be the coordinate at center that forms the circular arc of teeth groove portion,
r
50Be the radius that forms the circular arc of tooth top portion,
r
60Be the radius that forms the circular arc of teeth groove portion,
θ
60Be the center of the center of the circular arc by forming tooth top portion and internal rotor straight line, with the straight line angulation at the center of the center of circular arc by forming teeth groove portion and internal rotor,
R
51=(X
51 2+ Y
51 2)
1/2Formula (47)
θ
51=arccos (X
51/ R
51) formula (48)
X
52={ (R
51-R
D1) * β
50+ R
D1} * cos θ
51Formula (49)
Y
52={ (R
51-R
D1) * β
50+ R
D1} * sin θ
51Formula (50)
Wherein,
(X
51, Y
51) be the coordinate that forms the point on the circular arc of tooth top portion,
R
51Be that center from internal rotor is to coordinate (X
51, Y
51) distance,
θ
51Be by internal rotor center and coordinate (X
51, Y
51) straight line and X-axis angulation,
(X
52, Y
52) be the coordinate of the tooth top shape after the distortion,
β
50Be the correction factor that is used to be out of shape,
R
61=(X
61 2+ Y
61 2)
1/2Formula (51)
θ
61=arccos (X
61/ R
61) formula (52)
X
62={ R
D2-(R
D2-R
61) * β
60} * cos θ
61Formula (53)
Y
62={ R
D2-(R
D2-R
61) * β
60} * sin θ
61Formula (54)
Wherein,
(X
61, Y
61) be the coordinate that forms the point on the circular arc of teeth groove portion,
R
61Be that center from internal rotor is to coordinate (X
61, Y
61) distance,
θ
61Be by internal rotor center and coordinate (X
61, Y
61) straight line and X-axis angulation,
(X
62, Y
62) be the coordinate of the slot form after the distortion,
β
60It is the correction factor that is used to be out of shape.
Applications Claiming Priority (5)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP2005275506A JP4650180B2 (en) | 2005-09-22 | 2005-09-22 | Oil pump rotor |
| JP275506/2005 | 2005-09-22 | ||
| JP111453/2006 | 2006-04-14 | ||
| JP2006111453 | 2006-04-14 | ||
| PCT/JP2006/318769 WO2007034888A1 (en) | 2005-09-22 | 2006-09-21 | Oil pump rotor |
Related Child Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN2010101384250A Division CN101832264B (en) | 2005-09-22 | 2006-09-21 | Oil pump rotor |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| CN101268278A CN101268278A (en) | 2008-09-17 |
| CN101268278B true CN101268278B (en) | 2010-11-03 |
Family
ID=37972485
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN2006800345388A Active CN101268278B (en) | 2005-09-22 | 2006-09-21 | Oil pump rotor |
Country Status (2)
| Country | Link |
|---|---|
| JP (1) | JP4650180B2 (en) |
| CN (1) | CN101268278B (en) |
Families Citing this family (7)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JP2012137024A (en) * | 2010-12-27 | 2012-07-19 | Sumitomo Electric Sintered Alloy Ltd | Rotor for internal gear type pump |
| JP5795726B2 (en) * | 2011-06-27 | 2015-10-14 | 株式会社山田製作所 | Oil pump |
| JP5692034B2 (en) * | 2011-12-14 | 2015-04-01 | 株式会社ダイヤメット | Oil pump rotor |
| JP6163830B2 (en) | 2013-03-29 | 2017-07-19 | 株式会社ジェイテクト | pump |
| CN106232991B (en) | 2014-06-02 | 2018-11-09 | 开利公司 | Screw compressor |
| CN109373167B (en) * | 2018-12-19 | 2020-06-09 | 自贡市川力科技股份有限公司 | Oil pump with double oil outlet channel structure |
| CN112112797B (en) * | 2019-06-19 | 2023-01-10 | 浙江三花智能控制股份有限公司 | Oil pump |
Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN1442614A (en) * | 2002-03-01 | 2003-09-17 | 三菱麻铁里亚尔株式会社 | Oil pump rotor |
| CN2591275Y (en) * | 2002-09-11 | 2003-12-10 | 宜兴市恒发特种粉末冶金厂 | Cycloidal oil pump rotator |
Family Cites Families (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JP4251831B2 (en) * | 1997-09-04 | 2009-04-08 | 住友電工焼結合金株式会社 | Internal gear oil pump |
| JP2003322088A (en) * | 2002-03-01 | 2003-11-14 | Mitsubishi Materials Corp | Oil pump rotor |
| JP4028774B2 (en) * | 2002-07-05 | 2007-12-26 | 株式会社山田製作所 | Trochoid pump |
-
2005
- 2005-09-22 JP JP2005275506A patent/JP4650180B2/en active Active
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2006
- 2006-09-21 CN CN2006800345388A patent/CN101268278B/en active Active
Patent Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN1442614A (en) * | 2002-03-01 | 2003-09-17 | 三菱麻铁里亚尔株式会社 | Oil pump rotor |
| CN2591275Y (en) * | 2002-09-11 | 2003-12-10 | 宜兴市恒发特种粉末冶金厂 | Cycloidal oil pump rotator |
Also Published As
| Publication number | Publication date |
|---|---|
| JP4650180B2 (en) | 2011-03-16 |
| JP2007085256A (en) | 2007-04-05 |
| CN101268278A (en) | 2008-09-17 |
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