CN102767523A - Design method of twisted Roots blower rotor profile - Google Patents
Design method of twisted Roots blower rotor profile Download PDFInfo
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- CN102767523A CN102767523A CN2012102868715A CN201210286871A CN102767523A CN 102767523 A CN102767523 A CN 102767523A CN 2012102868715 A CN2012102868715 A CN 2012102868715A CN 201210286871 A CN201210286871 A CN 201210286871A CN 102767523 A CN102767523 A CN 102767523A
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- 125000000174 L-prolyl group Chemical group [H]N1C([H])([H])C([H])([H])C([H])([H])[C@@]1([H])C(*)=O 0.000 claims description 7
- 230000007246 mechanism Effects 0.000 claims description 4
- 230000008569 process Effects 0.000 claims description 3
- 238000004088 simulation Methods 0.000 claims description 2
- 238000007789 sealing Methods 0.000 abstract description 4
- 230000008901 benefit Effects 0.000 abstract description 3
- 230000006872 improvement Effects 0.000 description 6
- 238000012797 qualification Methods 0.000 description 2
- 230000006835 compression Effects 0.000 description 1
- 238000007906 compression Methods 0.000 description 1
- 230000007812 deficiency Effects 0.000 description 1
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Abstract
The invention discloses a design method of a twisted Roots blower rotor profile. An involute is introduced at the intersecting position of an arc and an envelope line of an existing profile, so that profile interference is avoided, the sealing performance of a rotor is guaranteed, and simultaneously, the radius-center distance ratio of the rotor is increased. The profile has the advantages of being capable of improving the area utilization coefficient and improving the working efficiency.
Description
Technical field
The present invention relates to a kind of Roots Blower Rotor, particularly a kind of design method of turning round leaf Roots Blower Rotor molded lines.
Background technique
High efficiency, low noise are Roots blower Design and Development directions always.Tradition is turned round the leaf Roots blower and is compared straight leaf Roots blower and aspect noise reduction, have certain advantage, but barely satisfactory aspect efficient.
Roots blower is a kind of double rotor compression type machinery, and rotor is in continuous suction, exhaust process, and the size in inlet and outlet chamber is understood the variation of generating period property; Produce inhomogeneous air-flow thus and act on environment and cause pressure pulse, when being connected with relief opening, the pressure pulse that flow-reversing impingement causes is more violent when element volume (interval that casing and rotor surround); And then produce strong noise, and becoming one of principal element of restriction Roots blower development and application, result of study shows; The twisting blade profile Roots blower not exclusively communicates with relief opening simultaneously because of its rotor engaged mode can make element volume, has delayed return time, has reduced circulating flow strength; Can obviously reduce noise; Yet traditional twisting blade profile Roots blower efficient is relatively low, and this makes its application obviously be restricted.For a long time, the improvement of molded lines of rotor is the main path that experts and scholars seek design of High Efficiency rate Roots blower always, and the correlative study achievement also continues to bring out.
Turn round at present the leaf molded lines of rotor commonly used have external arc to add envelope line style, interior circular arc to add four kinds of envelope line style, involute-type and gerotor types.Though wherein the gerotor type rotor operates steadily, area utilization factor low (the highest by 0.406) is so seldom use; Other three kinds of molded lines rotor area utilization factors higher relatively (0.485 ~ 0.499), and that involute-type rotor operation smoothness is compared arc envelope line style rotor is relatively poor, noise is higher, adds envelope line style rotor so in practical application, be mostly circular arc.For traditional external arc added the envelope molded lines, span was than (being R
m/ 2a) be that (2a is two centre of rotor distances to the key factor that influences its area utilization coefficient, R
mBe impeller outer diameter), span is bigger than more, and it is tall and thin more that blade profile just seems, and its area utilization factor is also just high more, three leaf arc envelope line style R
mThe suitable span of/2a is: 0.5589<r
m/ 2a<0.7358.Work as R
m/ 2a value shape as shown in Figure 1 can occur less than 0.5589 o'clock, and the molded lines of this moment does not exist concavo-convex and deposits, and rotor seal property is poor, and blade profile is short fat, and area utilization factor is low, generally seldom adopts.Work as R
m/ 2a value is greater than 0.7358 o'clock, then at G
0It is as shown in Figure 2 that angle point appears in some place, though at this moment area utilization factor increases, occurs interfering, and sealability is also very poor when removing behind the angle point engagement, can't use.
Summary of the invention
The objective of the invention is in order to overcome above deficiency; A kind of lopsided molded lines with involute replacement rotor angle point place is provided, avoids occurring interference phenomenon, guaranteed sealing; Improve area utilization factor, the design method of turning round leaf Roots Blower Rotor molded lines of increasing work efficiency.
The object of the invention is realized through following technological scheme: a kind of design method of turning round leaf Roots Blower Rotor molded lines may further comprise the steps:
A, confirm the rotor number of blower and the parameter of two rotors: set two rotors, rotor is around its center O
1Clockwise rotate the α angle, rotor is around its center O
2Rotate counterclockwise identical angle, two rotors and frame are fixed, the relative movement between such two rotors is exactly that entire mechanism is around O
1Rotate counterclockwise the α angle, the contact points of two rotors is the G point, and the pitch circle points of tangency of two rotors is the P point, with O
1And O
2Two points link to each other with straight line, and the P point is the mid point of straight line, and the common normal line when a pair of conjugate curve of two rotors pass through the G point is through the P point, and process rotor leaf peak circular arc center of circle F
2, with G point and F
2Link to each other G point and F with straight line
2Between straight line be leaf peak radius of arc r, F
2With centre of rotor O
2Between distance be the distance b between the Ye Feng center of circle and the impeller center;
B, confirm the molded lines parametric equation of leaf peak circular arc and envelope line segment: cross O
1Make GF
2Parallel lines, hand over O
2F
2Elongation line in a H, O
1H and O
1The angle of X axle is β, crosses some O
2Make O
1The parallel lines of Y axle are handed over O
1The X axle is crossed some F in a K
2Make O
1The parallel lines of X axle are handed over O
2K is in a L, and some G is at F
2The intersection point of L is some M, crosses some H and makes O
1The parallel lines of X axle are handed over O
2The elongation line of K is made O in a J
1The vertical line HI of X axle, the parametric equation that can be drawn the arc section molded lines by wherein geometrical relationship is:
Therefore:
:
Because O
1H//F
2G, then
, contact points G (x
1, y
1) at system of coordinates X
1O
1Y
1In coordinate be:
Therefore the following formula that obtains is the molded lines parametric equation of envelope line segment;
C, confirm involute: confirm the parameter value in the parametric equation of circular arc and envelope, obtain the new molded lines of any rotor, BC is an involute, and GB is an arc envelope line, and CH is a circular arc, the Base radius r of involute
1Be the distance of envelope terminal point to rotor center O, the terminal point of envelope is the starting point of involute, and the terminal point of involute is the terminal point of circular arc, can get the involute parametric equation thus:
Wherein
;
,
is involute exhibition angle;
D, carry out numerical simulation analysis: with the molded lines equation that obtains among the step C; On the Pro/E software platform, set up its parametrization threedimensional model; Wherein the twisting blade profile blower is a three lobe rotor, and torsion angle is 60o, and the torsional direction of two engagement rotors is opposite; Observe the two engagement rotors interference situation of each position when rotated after the modeling, set the rotor exradius rotate subcenter rotate a circle inswept area be S
0, rotor cross-section is long-pending to be S
1, area utilization factor Q=1-(S then
0-S
1)/S
0, make centre distance identical while circular arc adds envelope molded lines span than (R
m/ 2a) be maximum value, on the Pro/E platform, can measure the interrelated geometrical parameters of each molded lines rotor fast through parametric modeling.
The present invention compared with prior art has the following advantages: the molded lines of rotor after the improvement is quoted involute and is carried out the excessive of flex point place, not only avoids occurring interference phenomenon, has guaranteed sealing; And broken through the Applicable scope that traditional circular arc adds envelope blade profile span ratio; Under the certain situation of centre distance, the molded lines rotor outside diameter after the improvement is relatively large, and it is tall and thin that rotor more shows; Thereby improved area utilization factor, promoted working efficiency.
Description of drawings:
Fig. 1 is three leaf arc envelope line style R
m/ 2a value was less than 0.5589 o'clock structural representation;
Fig. 2 is three leaf arc envelope line style R
m/ 2a value is greater than 0.7358 o'clock, at G
0The angle point structural representation appears in the some place;
Fig. 3 is two rotor engaged structural representations;
Fig. 4 is rotor of the present invention molded lines structural representation after improving;
Label among the figure: 1,2-rotor.
Embodiment:
In order to deepen to understanding of the present invention, will combine embodiment and accompanying drawing that the present invention is made further detailed description below, this embodiment only is used to explain the present invention, does not constitute the qualification to protection domain of the present invention.
The present invention shows a kind of embodiment of turning round the design method of leaf Roots Blower Rotor molded lines, and hypothesis rotor 1 as shown in Figure 3 is around its center O
1Clockwise rotate
The angle, rotor 2 is around its center O
2Rotate counterclockwise identical angle, do for the ease of understanding relative motion relation, therefore hypothesis is fixed rotor 1, rotor 2 and frame, and the relative movement between rotor can be regarded entire mechanism as around O
1Turn over counterclockwise
The angle, wherein two rotors are in the G point gearing, and two pitch circles are tangent at the P point, and some P is O
1O
2Mid point, two conjugate curve must pass through a P in the common normal line that G is ordered, and through O
2Rotor leaf peak circular arc center of circle F
2, GF
2Be leaf peak radius of arc and be designated as r, F
2O
2For the Ye Feng center of circle is designated as b to the distance at impeller center, cross O
1Make GF
2Parallel lines, hand over O
2F
2Elongation line in a H, O
1H and O
1The angle of x axle is β, crosses some O2 and makes O
1The parallel lines of Y axle are handed over O
1The X axle is crossed some F in a K
2Make O
1The parallel lines of X axle are handed over O
2K is in a L, and some G is at F
2The intersection point of L is some M, crosses some H and makes O
1The parallel lines of X axle are handed over O
2The elongation line of K is made O in a J
1The vertical line HI of X axle, the parametric equation that can be drawn the arc section molded lines by wherein geometrical relationship is:
Can know by Fig. 3:
:
Because O
1H//F
2G, then
, contact points G (x
1, y
1) at system of coordinates X
1O
1Y
1In coordinate be:
This is the molded lines parametric equation of arc envelope line segment.
For confirming of involute parametric equation, at first to calculate the parameter value in the parametric equation of circular arc and envelope, be illustrated in figure 4 as the molded lines after the improvement: BC is an involute, and GB is an envelope, and CH is a circular arc, the Base radius r of involute
1Be the distance of envelope terminal point to rotor center O, the terminal point of envelope is the starting point of involute, and the terminal point of involute is the terminal point of circular arc, can get the involute parametric equation thus:
Wherein
,
,
For involute exhibition angle, be example with centre distance 2a=84, wherein, R
m/ 2a=0.7526, simultaneous
This four formula can obtain:
=2.1625, β=71.83431, involute Base radius r
1=41.24, the involute start point does
=42.2659.Such parameter designing has been broken span and has been compared R
mThe qualification of/2a value both can improve area utilization factor, had avoided occurring the embarrassment of angle point again; Then according to above-mentioned improved molded lines equation; Can on the Pro/E platform, set up its parametrization threedimensional model, the twisting blade profile blower is generally three lobe rotor, and torsion angle is 60
0, the torsional direction of two engagement rotors is opposite, takes place through showing after the Pro/E modeling that rotor mechanism does not all have to interfere in each position of rotation, set the rotor exradius rotate subcenter rotate a circle inswept area be S
0, rotor cross-section is long-pending to be S
1, area utilization factor Q=1-(S then
0-S
1)/S
0, make centre distance identical while circular arc adds envelope molded lines span than (R
m/ 2a) be maximum value, on the Pro/E platform, can measure the interrelated geometrical parameters of each molded lines rotor fast through parametric modeling, with different molded lines parameter comparison, as shown in the table:
| Performance parameter | Interior circular arc+envelope | External arc+envelope | External arc+envelope+involute (improving the back molded lines) |
| a（mm） | 42.00 | 42.00 | 42.00 |
| R m/2a | 0.7113 | 0.7385 | 0.7526 |
| Rotor cross-section amasss (mm 2) | 5772.55 | 5999.91 | 6024.98 |
| Area (the mm that the rotor exradius rotates a circle inswept 2） | 11215.38 | 11964.00 | 12554.20 |
| The area utilization coefficient | 0.4853 | 0.4985 | 0.5200 |
From last table, can find out molded lines of rotor after the improvement quote involute carry out flex point excessively, not only avoid occurring interference phenomenon, guaranteed sealing; And broken through the Applicable scope that traditional circular arc adds envelope blade profile span ratio, under the certain situation of centre distance, the molded lines rotor outside diameter after the improvement is relatively large; It is tall and thin that rotor more shows; Thereby improved area utilization factor, promoted working efficiency, and upward shown that its area utilization factor of molded lines rotor after improving exceeds 0.02 than traditional arc envelope line rotor in the table; Because mostly Roots blower is 24 continuous throughout the twenty-four hour24s, therefore improving 0.02 pair of enterprise also has practical significance preferably.
Claims (1)
1. a design method of turning round leaf Roots Blower Rotor molded lines is characterized in that, may further comprise the steps:
A, confirm the rotor number of blower and the parameter of two rotors: set two rotors (1,2), rotor (1) is around its center O
1Clockwise rotate the α angle, rotor (2) is around its center O
2Rotate counterclockwise identical angle, two rotors (1,2) and frame are fixed, the relative movement between such two rotors (1,2) is exactly that entire mechanism is around O
1Rotate counterclockwise the α angle, the contact points of two rotors (1,2) is the G point, and the pitch circle points of tangency of two rotors (1,2) is the P point, with O
1And O
2Two points link to each other with straight line, and the P point is the mid point of straight line, and the common normal line when a pair of conjugate curve of two rotors (1,2) pass through the G point is through the P point, and process rotor (2) leaf peak circular arc center of circle F
2, with G point and F
2Link to each other G point and F with straight line
2Between straight line be leaf peak radius of arc r, F
2And the center O of rotor (2)
2Between distance be the distance b between the Ye Feng center of circle and the impeller center;
B, confirm the molded lines parametric equation of leaf peak circular arc and envelope line segment: cross O
1Make GF
2Parallel lines, hand over O
2F
2Elongation line in a H, O
1H and O
1The angle of X axle is β, crosses some O
2Make O
1The parallel lines of Y axle are handed over O
1The X axle is crossed some F in a K
2Make O
1The parallel lines of X axle are handed over O
2K is in a L, and some G is at F
2The intersection point of L is some M, crosses some H and makes O
1The parallel lines of X axle are handed over O
2The elongation line of K is made O in a J
1The vertical line HI of X axle, the parametric equation that can be drawn the arc section molded lines by wherein geometrical relationship is:
Therefore:
:
Because O
1H//F
2G, then
, contact points G (x
1, y
1) at system of coordinates X
1O
1Y
1In coordinate be:
Therefore the following formula that obtains is the molded lines parametric equation of envelope line segment;
C, confirm involute: confirm the parameter value in the parametric equation of circular arc and envelope, obtain the new molded lines of any rotor, BC is an involute, and GB is an arc envelope line, and CH is a circular arc, the Base radius r of involute
1Be the distance of envelope terminal point to rotor center O, the terminal point of envelope is the starting point of involute, and the terminal point of involute is the terminal point of circular arc, can get the involute parametric equation thus:
Wherein
;
,
is involute exhibition angle;
D, carry out numerical simulation analysis: with the molded lines equation that obtains among the step C; On the Pro/E software platform, set up its parametrization threedimensional model; Wherein the twisting blade profile blower is a three lobe rotor, and torsion angle is 60o, and the torsional direction of two engagement rotors is opposite; Observe the two engagement rotors interference situation of each position when rotated after the modeling, set the rotor exradius rotate subcenter rotate a circle inswept area be S
0, rotor cross-section is long-pending to be S
1, area utilization factor Q=1-(S then
0-S
1)/S
0, make the identical and circular arc of centre distance add envelope molded lines span than (R
m/ 2a) be maximum value, on the Pro/E platform, can measure the interrelated geometrical parameters of each molded lines rotor fast through parametric modeling.
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| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201210286871.5A CN102767523B (en) | 2012-08-14 | 2012-08-14 | Design method of twisted Roots blower rotor profile |
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| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201210286871.5A CN102767523B (en) | 2012-08-14 | 2012-08-14 | Design method of twisted Roots blower rotor profile |
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| Publication Number | Publication Date |
|---|---|
| CN102767523A true CN102767523A (en) | 2012-11-07 |
| CN102767523B CN102767523B (en) | 2015-01-14 |
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Cited By (13)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN103277304A (en) * | 2013-03-18 | 2013-09-04 | 杜良俊 | Rotating compression device |
| CN104036072A (en) * | 2014-05-21 | 2014-09-10 | 南京航空航天大学 | Shaft-type part multi-arc chamfer designing method |
| CN104835383A (en) * | 2015-05-08 | 2015-08-12 | 福州大学 | Demonstration mechanism for solving arc envelop and demonstration method thereof |
| CN105095568A (en) * | 2015-07-02 | 2015-11-25 | 中国科学院力学研究所 | Rapid modeling method for large draft fan |
| CN108050062A (en) * | 2017-12-11 | 2018-05-18 | 杰锋汽车动力系统股份有限公司 | A kind of mechanical supercharger structure |
| CN108757448A (en) * | 2018-07-12 | 2018-11-06 | 中国石油大学(华东) | Three leaf sectional circular camber roots rotors of one kind and its Profile Design method |
| CN109578080A (en) * | 2019-02-14 | 2019-04-05 | 河北工业大学 | A kind of three leaves torsion leaf roots-type power machine electric generating apparatus |
| CN109812413A (en) * | 2018-12-26 | 2019-05-28 | 宿迁学院 | A kind of pump maximum form factor calculation method of rotor acquirement |
| CN111271284A (en) * | 2020-03-16 | 2020-06-12 | 江阴全玉节能环保真空设备制造有限公司 | Three-blade rotor assembly of roots vacuum pump |
| CN111779674A (en) * | 2020-06-23 | 2020-10-16 | 西安交通大学 | Rotor profile of multi-blade roots pump |
| CN112879288A (en) * | 2021-01-27 | 2021-06-01 | 宿迁学院 | Universal calculation method for flow pulsation coefficient of three-twisted-blade rotor pump |
| CN114658654A (en) * | 2022-03-04 | 2022-06-24 | 中科仪(南通)半导体设备有限责任公司 | Novel roots rotor molded lines |
| CN115030898A (en) * | 2022-07-20 | 2022-09-09 | 福州大学 | Rotor with improved involute Roots rotor profile and method of designing same |
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| CN103277304B (en) * | 2013-03-18 | 2016-02-10 | 杜良俊 | Rotary compressing device |
| CN103277304A (en) * | 2013-03-18 | 2013-09-04 | 杜良俊 | Rotating compression device |
| CN104036072A (en) * | 2014-05-21 | 2014-09-10 | 南京航空航天大学 | Shaft-type part multi-arc chamfer designing method |
| CN104036072B (en) * | 2014-05-21 | 2017-02-15 | 南京航空航天大学 | Shaft-type part multi-arc chamfer designing method |
| CN104835383A (en) * | 2015-05-08 | 2015-08-12 | 福州大学 | Demonstration mechanism for solving arc envelop and demonstration method thereof |
| CN104835383B (en) * | 2015-05-08 | 2017-06-06 | 福州大学 | A kind of demonstration mechanism for solving arc envelope line and its demenstration method |
| CN105095568A (en) * | 2015-07-02 | 2015-11-25 | 中国科学院力学研究所 | Rapid modeling method for large draft fan |
| CN108050062B (en) * | 2017-12-11 | 2019-10-15 | 杰锋汽车动力系统股份有限公司 | A kind of mechanical supercharger structure |
| CN108050062A (en) * | 2017-12-11 | 2018-05-18 | 杰锋汽车动力系统股份有限公司 | A kind of mechanical supercharger structure |
| CN108757448A (en) * | 2018-07-12 | 2018-11-06 | 中国石油大学(华东) | Three leaf sectional circular camber roots rotors of one kind and its Profile Design method |
| CN108757448B (en) * | 2018-07-12 | 2023-08-08 | 中国石油大学(华东) | Three-blade piecewise arc Roots rotor and molded line design method thereof |
| CN109812413A (en) * | 2018-12-26 | 2019-05-28 | 宿迁学院 | A kind of pump maximum form factor calculation method of rotor acquirement |
| CN109812413B (en) * | 2018-12-26 | 2019-12-31 | 宿迁学院 | Method for calculating maximum shape coefficient of pump rotor |
| CN109578080A (en) * | 2019-02-14 | 2019-04-05 | 河北工业大学 | A kind of three leaves torsion leaf roots-type power machine electric generating apparatus |
| CN111271284A (en) * | 2020-03-16 | 2020-06-12 | 江阴全玉节能环保真空设备制造有限公司 | Three-blade rotor assembly of roots vacuum pump |
| CN111779674A (en) * | 2020-06-23 | 2020-10-16 | 西安交通大学 | Rotor profile of multi-blade roots pump |
| CN111779674B (en) * | 2020-06-23 | 2023-10-20 | 西安交通大学 | Rotor molded line of multi-lobe Roots pump |
| CN112879288A (en) * | 2021-01-27 | 2021-06-01 | 宿迁学院 | Universal calculation method for flow pulsation coefficient of three-twisted-blade rotor pump |
| CN112879288B (en) * | 2021-01-27 | 2022-07-26 | 宿迁学院 | Universal calculation method for flow pulsation coefficient of three-twisted-blade rotor pump |
| CN114658654A (en) * | 2022-03-04 | 2022-06-24 | 中科仪(南通)半导体设备有限责任公司 | Novel roots rotor molded lines |
| CN114658654B (en) * | 2022-03-04 | 2023-08-15 | 中科仪(南通)半导体设备有限责任公司 | Roots rotor |
| CN115030898A (en) * | 2022-07-20 | 2022-09-09 | 福州大学 | Rotor with improved involute Roots rotor profile and method of designing same |
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|---|---|
| CN102767523B (en) | 2015-01-14 |
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