CN110005609A - A kind of smooth molded lines of rotor of Twin-screw vacuum pump and its design method - Google Patents
A kind of smooth molded lines of rotor of Twin-screw vacuum pump and its design method Download PDFInfo
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- CN110005609A CN110005609A CN201910051620.0A CN201910051620A CN110005609A CN 110005609 A CN110005609 A CN 110005609A CN 201910051620 A CN201910051620 A CN 201910051620A CN 110005609 A CN110005609 A CN 110005609A
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Classifications
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F04—POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
- F04C—ROTARY-PISTON, OR OSCILLATING-PISTON, POSITIVE-DISPLACEMENT MACHINES FOR LIQUIDS; ROTARY-PISTON, OR OSCILLATING-PISTON, POSITIVE-DISPLACEMENT PUMPS
- F04C18/00—Rotary-piston pumps specially adapted for elastic fluids
- F04C18/08—Rotary-piston pumps specially adapted for elastic fluids of intermeshing-engagement type, i.e. with engagement of co-operating members similar to that of toothed gearing
- F04C18/12—Rotary-piston pumps specially adapted for elastic fluids of intermeshing-engagement type, i.e. with engagement of co-operating members similar to that of toothed gearing of other than internal-axis type
- F04C18/14—Rotary-piston pumps specially adapted for elastic fluids of intermeshing-engagement type, i.e. with engagement of co-operating members similar to that of toothed gearing of other than internal-axis type with toothed rotary pistons
- F04C18/16—Rotary-piston pumps specially adapted for elastic fluids of intermeshing-engagement type, i.e. with engagement of co-operating members similar to that of toothed gearing of other than internal-axis type with toothed rotary pistons with helical teeth, e.g. chevron-shaped, screw type
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F04—POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
- F04C—ROTARY-PISTON, OR OSCILLATING-PISTON, POSITIVE-DISPLACEMENT MACHINES FOR LIQUIDS; ROTARY-PISTON, OR OSCILLATING-PISTON, POSITIVE-DISPLACEMENT PUMPS
- F04C25/00—Adaptations of pumps for special use of pumps for elastic fluids
- F04C25/02—Adaptations of pumps for special use of pumps for elastic fluids for producing high vacuum
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F04—POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
- F04C—ROTARY-PISTON, OR OSCILLATING-PISTON, POSITIVE-DISPLACEMENT MACHINES FOR LIQUIDS; ROTARY-PISTON, OR OSCILLATING-PISTON, POSITIVE-DISPLACEMENT PUMPS
- F04C29/00—Component parts, details or accessories of pumps or pumping installations, not provided for in groups F04C18/00 - F04C28/00
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F04—POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
- F04C—ROTARY-PISTON, OR OSCILLATING-PISTON, POSITIVE-DISPLACEMENT MACHINES FOR LIQUIDS; ROTARY-PISTON, OR OSCILLATING-PISTON, POSITIVE-DISPLACEMENT PUMPS
- F04C2240/00—Components
- F04C2240/20—Rotors
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F04—POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
- F04C—ROTARY-PISTON, OR OSCILLATING-PISTON, POSITIVE-DISPLACEMENT MACHINES FOR LIQUIDS; ROTARY-PISTON, OR OSCILLATING-PISTON, POSITIVE-DISPLACEMENT PUMPS
- F04C2250/00—Geometry
- F04C2250/20—Geometry of the rotor
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- Engineering & Computer Science (AREA)
- Mechanical Engineering (AREA)
- General Engineering & Computer Science (AREA)
- Rotary Pumps (AREA)
Abstract
The present invention relates to a kind of smooth molded lines of rotor of Twin-screw vacuum pump and its design methods.The smooth rotor end-face molded line of the Twin-screw vacuum pump is made of the sequentially connected class circular arc conjugate line a1b1 of head and the tail, class circular arc b1c1, addendum circle arc c1d1, class parabola d1e1, class parabola conjugate line e1f1 and tooth root circular arc f1a1.The present invention smooth no cusp of rotor generated, a pair of meshing rotor that the molded lines of rotor generates equal total conjugated of molded line and smooth on axial section and end face, meshing performance is good, and leakage area is small, can reach very low ultimate vacuum；Molded lines of rotor smooth simultaneously is that the design of rotor cutter provides a great convenience, and reduces the processing cost of rotor.
Description
Technical field
The invention belongs to Mechanical Engineering Design field, be specifically related to a kind of smooth molded lines of rotor of Twin-screw vacuum pump and its
Design method.
Background technique
Twin-screw dry vacuum pump is high with single-stage pressure ratio, pumped (conveying) medium is steady, pressure fluctuation is small, mechanical oscillation are small, knot
The features such as structure is simple and compact, high-efficient, reliable operation and service life are long, be widely used in nuclear science, electronic equipments, food industry,
The fields such as petrochemical industry and medical manufacture.
Core technology of the molded lines of rotor as twin-screw dry vacuum pump, determines pumping speed and ultimate vacuum of vacuum pump etc.
Performance is the key technology of Twin-screw vacuum pump design and optimization, and more in published Twin-screw vacuum pump molded line at present
There are the problem of have:
1, molded lines of rotor is unable to total conjugated, and the meshing performance of a pair of of rotor is poor, and leakage area is big, cannot reach very low
Ultimate vacuum.
2, molded lines of rotor is rough, and for vacuum pump rotor during processing, installation and operation, cusp is easy to wear, and reduction is nibbled
Close performance.Simultaneously as molded line is rough, the design difficulty of rotor machining cutter is greatly increased.
Summary of the invention
In order to solve the above technical problem, the present invention provides a kind of smooth molded lines of rotor of Twin-screw vacuum pump.
In order to achieve the object of the present invention, the invention adopts the following technical scheme:
A kind of smooth molded lines of rotor of Twin-screw vacuum pump, the smooth rotor end-face molded line of the Twin-screw vacuum pump is by from beginning to end successively
The class circular arc conjugate line a1b1 of connection, class circular arc b1c1, addendum circle arc c1d1, class parabola d1e1, class parabola conjugate line
E1f1 and tooth root circular arc f1a1 composition；
The class circular arc b1c1 is turned for one section of circular arc BC, the circular arc BC through coordinate transform on rotor axial section
Class circular arc b1c1 described in sub- profile, the class circular arc b1c1 respectively with addendum circle arc c1d1 and class circular arc conjugate line a1b1
It is tangent；
The equation in coordinates of the class circular arc b1c1 is obtained by the following formula:
Wherein, xb1c1For the X-coordinate of class circular arc b1c1, yb1c1For the Y-coordinate of class circular arc b1c1, zBCFor the circular arc BC's
Z coordinate, yBCFor the Y-coordinate of the circular arc BC, T is rotor lead；
The class circular arc conjugate line a1b1 is obtained by the conjugation envelope of the class circular arc b1c1 through coordinate transform, the class
Circular arc conjugate line a1b1 is tangent with tooth root circular arc f1a1 and class circular arc b1c1 respectively；
The equation in coordinates of the class circular arc conjugate line a1b1 is obtained by the following formula:
Wherein, xa1b1For the X-coordinate of class circular arc conjugate line a1b1, ya1b1For the Y-coordinate of class circular arc conjugate line a1b1, φ1For
Molded lines of rotor location parameter and be intermediate parameter, A indicate center away from as addendum circle arc c1d1 and tooth root circular arc f1a1 radius it
With t1Indicate the angle that class circular arc conjugate line a1b1 is rotated relative to the center of circle；φ is eliminated by above-mentioned equation1, obtain xa1b1And ya1b1It closes
In parameter t1Equation in coordinates, thus obtain class circular arc conjugate line a1b1 equation in coordinates；
The class parabola d1e1 is one section of parabola DE on rotor axial section, and parabola DE is obtained through coordinate transform
To class parabola d1e1 described in rotor end-face molded line, the class parabola d1e1 respectively with addendum circle arc c1d1 and class parabola
Conjugate line e1f1 is tangent；
The equation in coordinates of the class parabola d1e1 is obtained by the following formula:
Wherein, xd1e1For the X-coordinate of class parabola d1e1, yd1e1For the Y-coordinate of class parabola d1e1, zDEFor parabola DE
Z coordinate, yDEFor the Y-coordinate of parabola DE, T is rotor lead；
The class parabola conjugate line e1f1 is obtained by the conjugation envelope of the class parabola d1e1 through coordinate transform, institute
It is tangent with tooth root circular arc f1a1 and class parabola d1e1 respectively to state class parabola conjugate line e1f1；
The equation in coordinates of the class parabola conjugate line e1f1 is obtained by the following formula:
Wherein, xe1f1For class parabola conjugate line X-coordinate, ye1f1For class parabola conjugate line Y-coordinate, φ2For molded lines of rotor
Location parameter and be intermediate parameter, A indicate center away from the sum of as addendum circle arc c1d1 and tooth root circular arc f1a1 radius, t2It indicates
The angle that class parabola conjugate line e1f1 is rotated relative to the center of circle；φ is eliminated by above-mentioned equation2, obtain xe1f1And ye1f1About parameter
t2Equation in coordinates, thus obtain class parabola conjugate line e1f1 equation in coordinates.
Further technical solution: a pair of meshing rotor end-face molded line that the molded lines of rotor generates is identical and mutual
Conjugation.
It is a further object to provide a kind of design methods of smooth molded lines of rotor of Twin-screw vacuum pump, should
Method the following steps are included:
Step 1, on rotor axial section, the circular arc BC of design connection outside circle and pitch circle, and the circular arc BC and tooth
Tip circle is smoothly connected, and the circular arc BC is obtained the class circular arc b1c1 on rotor end-face through space coordinate transformation, and acquire rotor
The class circular arc conjugate line a1b1 of root circle and pitch circle is connected on end face, wherein pitch radius is the sum of outside circle and root radius
Half；
Step 2, on rotor axial section, the parabola DE of design connection outside circle and pitch circle, and the parabola DE
It is smoothly connected with outside circle, the parabola DE is obtained into the class parabola d1e1 on rotor end-face through space coordinate transformation, and
Acquire the class parabola conjugate line e1f1 that root circle and pitch circle are connected on rotor end-face；
Step 3, addendum circle arc c1d1 is added on rotor end-face and connect above-mentioned curve with tooth root circular arc f1a1, form closing
Rotor end-face molded line.
The beneficial effects of the present invention are:
(1) the present invention smooth no cusp of rotor generated, a pair of meshing rotor that the molded lines of rotor generates is in axial direction
The equal total conjugated of molded line and smooth on section and end face, meshing performance is good, and leakage area is small, and the limit that can reach very low is true
It is empty；Molded lines of rotor smooth simultaneously is that the design of rotor cutter provides a great convenience, and reduces the processing cost of rotor.
(2) traditional molded lines of rotor design limitation designs in profile, and Profile Design is carried out not from axial section.
The present invention is in design method, and different from traditional profile design method, present invention employs axial Profile Design and ends
More curve forms are applied in Profile Design by the mode that face Profile Design combines to realize.
Detailed description of the invention
Fig. 1 is rotor end-face molded line view of the present invention；
Fig. 2 is rotor axial plane molded line view of the present invention；
Fig. 3 is the axial cross-sectional view for a pair of meshing rotor that molded lines of rotor of the present invention generates；
Fig. 4 is the three-dimensional model diagram for a pair of meshing rotor that molded lines of rotor of the present invention generates.
Specific embodiment
More specific detail is made to technical solution of the present invention below with reference to embodiment:
The smooth rotor end-face molded line of Twin-screw vacuum pump of the present invention is total to by the sequentially connected class circular arc of head and the tail as shown in Figure 1:
Yoke line a1b1, class circular arc b1c1, addendum circle arc c1d1, class parabola d1e1, class parabola conjugate line e1f1 and tooth root circular arc
F1a1 composition；
The class circular arc b1c1 is turned for one section of circular arc BC, the circular arc BC through coordinate transform on rotor axial section
Class circular arc b1c1 described in sub- profile, the class circular arc b1c1 respectively with addendum circle arc c1d1 and class circular arc conjugate line a1b1
It is tangent；
The equation in coordinates of the class circular arc b1c1 is obtained by the following formula:
Wherein, xb1c1For the X-coordinate of class circular arc b1c1, yb1c1For the Y-coordinate of class circular arc b1c1, zBCFor the circular arc BC's
Z coordinate, yBCFor the Y-coordinate of the circular arc BC, T is rotor lead；
The class circular arc conjugate line a1b1 is obtained by the conjugation envelope of the class circular arc b1c1 through coordinate transform, the class
Circular arc conjugate line a1b1 is tangent with tooth root circular arc f1a1 and class circular arc b1c1 respectively；
The equation in coordinates of the class circular arc conjugate line a1b1 is obtained by the following formula:
Wherein, xa1b1For the X-coordinate of class circular arc conjugate line a1b1, ya1b1For the Y-coordinate of class circular arc conjugate line a1b1, φ1For
Molded lines of rotor location parameter and be intermediate parameter, A indicate center away from as addendum circle arc c1d1 and tooth root circular arc f1a1 radius it
With t1Indicate the angle that class circular arc conjugate line a1b1 is rotated relative to the center of circle；φ is eliminated by above-mentioned equation1, obtain xa1b1And ya1b1It closes
In parameter t1Equation in coordinates, thus obtain class circular arc conjugate line a1b1 equation in coordinates；
The class parabola d1e1 is one section of parabola DE on rotor axial section, and parabola DE is obtained through coordinate transform
To class parabola d1e1 described in rotor end-face molded line, the class parabola d1e1 respectively with addendum circle arc c1d1 and class parabola
Conjugate line e1f1 is tangent；
The equation in coordinates of the class parabola d1e1 is obtained by the following formula:
Wherein, xd1e1For the X-coordinate of class parabola d1e1, yd1e1For the Y-coordinate of class parabola d1e1, zDEFor parabola DE
Z coordinate, yDEFor the Y-coordinate of parabola DE, T is rotor lead；
The class parabola conjugate line e1f1 is obtained by the conjugation envelope of the class parabola d1e1 through coordinate transform, institute
It is tangent with tooth root circular arc f1a1 and class parabola d1e1 respectively to state class parabola conjugate line e1f1；
The equation in coordinates of the class parabola conjugate line e1f1 is obtained by the following formula:
Wherein, xe1f1For class parabola conjugate line X-coordinate, ye1f1For class parabola conjugate line Y-coordinate, φ2For molded lines of rotor
Location parameter and be intermediate parameter, A indicate center away from the sum of as addendum circle arc c1d1 and tooth root circular arc f1a1 radius, t2It indicates
The angle that class parabola conjugate line e1f1 is rotated relative to the center of circle；φ is eliminated by above-mentioned equation2, obtain xe1f1And ye1f1About parameter
t2Equation in coordinates, thus obtain class parabola conjugate line e1f1 equation in coordinates.
The design method of the smooth molded lines of rotor of Twin-screw vacuum pump of the present invention, comprising the following steps:
Step 1, on rotor axial section, the circular arc BC of design connection outside circle and pitch circle, and the circular arc BC and tooth
Tip circle is smoothly connected, and the circular arc BC is obtained the class circular arc b1c1 on rotor end-face through space coordinate transformation, and acquire rotor
The class circular arc conjugate line a1b1 of root circle and pitch circle is connected on end face, wherein pitch radius is the sum of outside circle and root radius
Half；
Step 2, on rotor axial section, the parabola DE of design connection outside circle and pitch circle, and the parabola DE
It is smoothly connected with outside circle, the parabola DE is obtained into the class parabola d1e1 on rotor end-face through space coordinate transformation, and
Acquire the class parabola conjugate line e1f1 that root circle and pitch circle are connected on rotor end-face；
Step 3, addendum circle arc c1d1 is added on rotor end-face and connect above-mentioned curve with tooth root circular arc f1a1, form closing
Rotor end-face molded line.
Each line segment and each line segment in rotor profile in Fig. 1 are in one-to-one relationship in rotor axial plane molded line in Fig. 2,
Middle circular arc conjugate line AB corresponds to class circular arc conjugate line a1b1, and circular arc BC corresponds to class circular arc b1c1, and straight line CD corresponds to addendum circle arc
C1d1, parabola DE correspond to class parabola d1e1, and parabola conjugate line EF corresponds to class parabola conjugate line e1f1, and straight line FG is corresponding
Tooth root circular arc f1a1.
Embodiment
Each segment type line coordinates equation provided by the invention is as follows:
Take addendum circle arc diameter D=40mm, tooth root arc diameter d=20mm, rotor lead T=40mm.
Parametric equation of the circular arc BC on axial section is as follows:
It brings the axial parametric equation of circular arc BC into class circular arc b1c1 formula, obtains the class circular arc b1c1 on end face
Equation in coordinates are as follows:
The equation in coordinates of the class circular arc conjugate line a1b1 are as follows:
Intermediate parameter φ is eliminated by numerical method by above-mentioned equation1, obtain xa1b1And ya1b1About parameter t1Coordinate side
Journey, the as equation in coordinates of class circular arc conjugate line a1b1.
Parametric equation of the parabola DE on axial section is as follows:
It brings the axial parametric equation of parabola DE into class parabola d1e1 formula, obtains the class parabola d1e1 and holding
Equation in coordinates on face are as follows:
The equation in coordinates of the class parabola conjugate line e1f1 are as follows:
Intermediate parameter φ is eliminated by numerical method by above-mentioned equation2, obtain xe1f1And ye1f1About parameter t2Coordinate side
Journey, the as equation of class parabola conjugate line e1f1.
Supplement diameter is respectively the addendum circle arc and tooth root circular arc of 40mm and 20mm.
Each section of curve is adjusted the angle around the center of circle, end to end closed curve is constituted, can be obtained of the present invention
Molded line.
Above-mentioned angle parameter is all made of Circular measure expression.
As shown in Fig. 3, Fig. 4: a pair of meshing rotor that the molded lines of rotor that the present invention designs generates is in axial section and end face
The equal total conjugated of upper molded line and smooth.
Claims (3)
1. a kind of smooth molded lines of rotor of Twin-screw vacuum pump, it is characterised in that: the smooth rotor end-face molded line of the Twin-screw vacuum pump
By the sequentially connected class circular arc conjugate line a1b1 of head and the tail, class circular arc b1c1, addendum circle arc c1d1, class parabola d1e1, class parabolic
Line conjugate line e1f1 and tooth root circular arc f1a1 composition；
The class circular arc b1c1 obtains rotor-end through coordinate transform for one section of circular arc BC, the circular arc BC on rotor axial section
Class circular arc b1c1 described in the molded line of face, the class circular arc b1c1 respectively with addendum circle arc c1d1 and class circular arc conjugate line a1b1 phase
It cuts；
The equation in coordinates of the class circular arc b1c1 is obtained by the following formula:
Wherein, xb1c1For the X-coordinate of class circular arc b1c1, yb1c1For the Y-coordinate of class circular arc b1c1, zBCIt is sat for the Z of the circular arc BC
Mark, yBCFor the Y-coordinate of the circular arc BC, T is rotor lead；
The class circular arc conjugate line a1b1 is obtained by the conjugation envelope of the class circular arc b1c1 through coordinate transform, the class circular arc
Conjugate line a1b1 is tangent with tooth root circular arc f1a1 and class circular arc b1c1 respectively；
The equation in coordinates of the class circular arc conjugate line a1b1 is obtained by the following formula:
Wherein, xa1b1For the X-coordinate of class circular arc conjugate line a1b1, ya1b1For the Y-coordinate of class circular arc conjugate line a1b1, φ1For rotor
Molded line location parameter and be intermediate parameter, A indicate center away from the sum of as addendum circle arc c1d1 and tooth root circular arc f1a1 radius, t1
Indicate the angle that class circular arc conjugate line a1b1 is rotated relative to the center of circle；φ is eliminated by above-mentioned equation1, obtain xa1b1And ya1b1About ginseng
Measure t1Equation in coordinates, thus obtain class circular arc conjugate line a1b1 equation in coordinates；
The class parabola d1e1 is one section of parabola DE on rotor axial section, and parabola DE is turned through coordinate transform
Class parabola d1e1 described in sub- profile, the class parabola d1e1 are conjugated with addendum circle arc c1d1 and class parabola respectively
Line e1f1 is tangent；
The equation in coordinates of the class parabola d1e1 is obtained by the following formula:
Wherein, xd1e1For the X-coordinate of class parabola d1e1, yd1e1For the Y-coordinate of class parabola d1e1, zDEIt is sat for the Z of parabola DE
Mark, yDEFor the Y-coordinate of parabola DE, T is rotor lead；
The class parabola conjugate line e1f1 is obtained by the conjugation envelope of the class parabola d1e1 through coordinate transform, the class
Parabola conjugate line e1f1 is tangent with tooth root circular arc f1a1 and class parabola d1e1 respectively；
The equation in coordinates of the class parabola conjugate line e1f1 is obtained by the following formula:
Wherein, xe1f1For class parabola conjugate line X-coordinate, ye1f1For class parabola conjugate line Y-coordinate, φ2For molded lines of rotor position
Parameter and be intermediate parameter, A indicate center away from the sum of as addendum circle arc c1d1 and tooth root circular arc f1a1 radius, t2Indicate that class is thrown
The angle that object line conjugate line e1f1 is rotated relative to the center of circle；φ is eliminated by above-mentioned equation2, obtain xe1f1And ye1f1About parameter t2's
Thus equation in coordinates obtains class parabola conjugate line e1f1 equation in coordinates.
2. the smooth molded lines of rotor of Twin-screw vacuum pump as described in claim 1, it is characterised in that: what the molded lines of rotor generated
A pair of meshing rotor end-face molded line is identical and mutual phase conjugate.
3. a kind of design method of the smooth molded lines of rotor of Twin-screw vacuum pump as claimed in claim 1 or 2, it is characterised in that: packet
Include following steps:
Step 1, on rotor axial section, the circular arc BC of design connection outside circle and pitch circle, and the circular arc BC and outside circle
It is smoothly connected, the circular arc BC is obtained into the class circular arc b1c1 on rotor end-face through space coordinate transformation, and acquire rotor end-face
The class circular arc conjugate line a1b1 of upper connection root circle and pitch circle, wherein pitch radius is the one of the sum of outside circle and root radius
Half；
Step 2, on rotor axial section, the parabola DE of design connection outside circle and pitch circle, and the parabola DE and tooth
Tip circle is smoothly connected, and the parabola DE is obtained the class parabola d1e1 on rotor end-face through space coordinate transformation, and acquire
The class parabola conjugate line e1f1 of root circle and pitch circle is connected on rotor end-face；
Step 3, addendum circle arc c1d1 is added on rotor end-face and connect above-mentioned curve with tooth root circular arc f1a1, form closed turn
Sub- profile.
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Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN111367233A (en) * | 2020-03-12 | 2020-07-03 | 杭州兴龙泵业有限公司 | Three-dimensional model modeling system for machining double-screw pump molded lines by disc milling cutter |
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| CN108050069A (en) * | 2018-01-22 | 2018-05-18 | 中国石油大学(华东) | A kind of complete smooth screw rotor of low leakage |
| CN108757438A (en) * | 2018-07-25 | 2018-11-06 | 中国石油大学(华东) | A kind of complete smooth screw rotor and its design method of small enclosed volume |
| CN108757439A (en) * | 2018-07-25 | 2018-11-06 | 中国石油大学(华东) | A kind of double end of twin-screw liquid pump smooth screw rotor and its design method entirely |
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| Publication number | Priority date | Publication date | Assignee | Title |
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| CN111367233A (en) * | 2020-03-12 | 2020-07-03 | 杭州兴龙泵业有限公司 | Three-dimensional model modeling system for machining double-screw pump molded lines by disc milling cutter |
| CN111367233B (en) * | 2020-03-12 | 2021-03-16 | 杭州兴龙泵业有限公司 | Three-dimensional model modeling system for machining double-screw pump molded lines by disc milling cutter |
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