CN108437401B - Full-smooth conical screw rotor of double-screw extruder - Google Patents

Full-smooth conical screw rotor of double-screw extruder Download PDF

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CN108437401B
CN108437401B CN201810522960.2A CN201810522960A CN108437401B CN 108437401 B CN108437401 B CN 108437401B CN 201810522960 A CN201810522960 A CN 201810522960A CN 108437401 B CN108437401 B CN 108437401B
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screw rotor
arc
screw
involute
radius
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CN108437401A (en
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王君
冯希敏
刘乃铭
沙润东
罗陈杰
陆亚彪
刘亚
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China University of Petroleum East China
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    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B29—WORKING OF PLASTICS; WORKING OF SUBSTANCES IN A PLASTIC STATE IN GENERAL
    • B29C—SHAPING OR JOINING OF PLASTICS; SHAPING OF MATERIAL IN A PLASTIC STATE, NOT OTHERWISE PROVIDED FOR; AFTER-TREATMENT OF THE SHAPED PRODUCTS, e.g. REPAIRING
    • B29C48/00—Extrusion moulding, i.e. expressing the moulding material through a die or nozzle which imparts the desired form; Apparatus therefor
    • B29C48/25—Component parts, details or accessories; Auxiliary operations
    • B29C48/36—Means for plasticising or homogenising the moulding material or forcing it through the nozzle or die
    • B29C48/50—Details of extruders
    • B29C48/505—Screws
    • B29C48/67—Screws having incorporated mixing devices not provided for in groups B29C48/52 - B29C48/66
    • Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02P—CLIMATE CHANGE MITIGATION TECHNOLOGIES IN THE PRODUCTION OR PROCESSING OF GOODS
    • Y02P70/00—Climate change mitigation technologies in the production process for final industrial or consumer products
    • Y02P70/10—Greenhouse gas [GHG] capture, material saving, heat recovery or other energy efficient measures, e.g. motor control, characterised by manufacturing processes, e.g. for rolling metal or metal working

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  • Mechanical Engineering (AREA)
  • Extrusion Moulding Of Plastics Or The Like (AREA)

Abstract

The invention discloses a full-smooth conical screw rotor of a double-screw extruder, wherein the screw rotor is conical; the pitch P of the screw rotor is kept unchanged; from the suction end (I-I) to the discharge end (IX-IX) of the screw rotor) Tooth top arc radius R of section profile 1 Gradually decrease, the radius R of the arc of the tooth root 3 Gradually increasing; tip thickness delta of screw rotor 1 And root thickness delta 2 Is unchanged and equal along the axial direction all the time; the two screw rotors are identical and the axes are parallel; the full-smooth conical screw rotor of the double-screw extruder can effectively increase the working cavity volume of the suction end and reduce the working cavity volume of the discharge end, so that the screw rotor has a good extrusion function; the section molded lines of the screw rotors at any axial positions are completely and smoothly connected with adjacent composition curves, and the screw rotors generated by expanding the section molded lines along the spiral line can realize correct engagement, so that the friction and abrasion of the screw rotors are reduced, and the service life of the screw rotors is prolonged.

Description

Full-smooth conical screw rotor of double-screw extruder
Technical Field
The invention relates to a homodromous double-screw extruder, in particular to a full-smooth conical screw rotor suitable for the homodromous double-screw extruder.
Background
The double-screw extruder is an important device in processing machinery, and has been widely used for molding and processing of extruded products at present due to good feeding performance, mixing plasticizing performance, exhaust performance and the like; the same-direction double-screw extruder completes the conveying, plasticizing, mixing and mixing of the polymer through the synchronous same-direction double-rotation movement of the two screw rotors; the core component of the double-screw extruder is a pair of mutually meshed screw rotors, and the form and the meshing precision of the screw rotors directly influence the quality of extruded products.
The patent CN107139424 discloses a full-smooth double-screw extruder screw rotor, wherein the section profile of the screw rotor consists of 6 sections of curves, 4 sections of arcs are adopted to connect an addendum arc and a dedendum arc, and the requirements on processing precision at the smooth connection position are higher; the section molded lines of the two screw rotors at any axial position are the same, and the parallel double-screw extruder taking the screw rotors as core components is limited by the center distance size of the two screws, so that the output torque is small and the load resistance is poor.
Disclosure of Invention
Aiming at the problems, and simultaneously, in order to enrich the types of screw rotors of the double-screw extruder, the invention provides a full-smooth conical screw rotor of the double-screw extruder, which comprises the following steps: comprises a left screw rotor (1) and a right screw rotor (2), wherein the screw rotors are conical; the pitch P of the screw rotor is kept unchanged; the type and the number of the composition curves of the section molded lines of the screw rotor are the same at any axial position; by keeping the central angle alpha of the tooth top arc of the screw rotor unchanged, the tooth top thickness delta of the screw rotor 1 And root thickness delta 2 Is unchanged and equal all the time; the left screw rotor (1) and the right screw rotor (2) are identical, and the axes of the two screw rotors are parallel; the screw rotors are conical, so that the screw rotors have good extrusion performance, the two screw rotors rotate in the same direction, and the meshing part has a tangential effect, so that the material mixing property and the dispersibility are effectively improved, and the double-screw extruder has the advantages of good dispersibility, high yield, energy conservation and the like; meanwhile, because the axes of the two screw rotors are parallel, the requirement on the installation precision is greatly reduced; the envelope curve of the one section of eccentric involute and the one section of eccentric involute is adopted to smoothly connect the tooth top arc and the tooth root arc on the section line of any axial position of the screw rotor, the composition curve of the section line is simple, and the processing and the manufacturing are convenient; the section molded line adopted by the screw rotor is completely smooth and can realize complete and correct engagement, so that the friction and abrasion of the screw rotor are reduced, and the service life of the screw rotor is prolonged; the full-smooth conical screw rotor of the double-screw extruder has important significance for improving the performance of the double-screw extruder.
In order to achieve the above purpose, the present invention adopts the following technical scheme:
the invention provides a full-smooth conical screw rotor of a double-screw extruder, which comprises a left screw rotor (1) and a right screw rotor (2), and is characterized in that: the left screw rotor (1) is conical, and the screw pitch P of the left screw rotor (1) is kept unchanged; left at any axial positionThe type and the number of the composition curves of the left section molded line (101) of the screw rotor (1) are the same; from the suction end (I-I) to the discharge end (IX-IX) of the left screw rotor (1), the tip arc radius R of the left section profile (101) of the left screw rotor (1) 1 Gradually decrease, the radius R of the arc of the tooth root 3 Gradually increase the pitch radius R 2 Remain unchanged; tooth tip thickness delta of left screw rotor (1) 1 And root thickness delta 2 Is always unchanged and equal, i.e. delta 1 ＝δ 2 The method comprises the steps of carrying out a first treatment on the surface of the The left screw rotor (1) and the right screw rotor (2) are identical, and the axes of the two screw rotors are parallel;
the left section profile (101) of the left screw rotor (1) consists of 4 sections of curves: the left eccentric circle involute AB, the left tooth root arc BC, the conjugate curve CD of the left eccentric circle involute and the left tooth top arc DA are completely and smoothly connected with each other; the right section profile (201) of the right screw rotor (2) consists of 4 sections of curves: a right eccentric circle involute ab, a right tooth root arc bc, a conjugate curve cd of the right eccentric circle involute and a right tooth top arc da; in synchronous homodromous double-rotation motion, the left screw rotor (1) and the right screw rotor (2) can be completely and correctly meshed; the left section molded line (101) of the left screw rotor (1) and the right section molded line (201) of the right screw rotor (2) can be correctly meshed; the left eccentric involute AB, the left tooth root arc BC, the conjugate curve CD of the left eccentric involute and the left tooth top arc DA on the left section molded line (101) of the left screw rotor (1) are respectively meshed with the conjugate curve CD of the right eccentric involute, the right tooth top arc DA, the right eccentric involute AB and the right tooth root arc BC on the right section molded line (201) of the right screw rotor (2) accurately.
Full smooth conical screw rotor of twin screw extruder, 6 geometric parameters on left section profile (101) of left screw rotor (1): radius R of tip arc 1 Radius R of arc of tooth root 3 Base radius R of involute of eccentric circle b The following equations are satisfied between the central angle gamma of the involute of the eccentric circle, the central angle alpha of the circular arc and the occurrence angle beta of the involute of the eccentric circle:
Figure GDA0004235736510000031
wherein: r is R 2 Is the pitch radius.
A full smooth conical screw rotor of a twin screw extruder has a tip arc radius R on a left section profile (101) of a left screw rotor (1) at any axial position 1 And root radius R 3 As a function of the axial distance z of the section line from the suction end (I-I);
radius R of tip arc 1 The relation of change along with the axial distance z is as follows:
Figure GDA0004235736510000032
radius of arc of tooth root R 3 The relation of change along with the axial distance z is as follows:
Figure GDA0004235736510000033
wherein: r is R s1 、R d1 The radii of the tooth top circular arcs at the suction end (I-I) and the discharge end (IX-IX) respectively; r is R s3 、R d3 Root radius at the suction end (I-I) and the discharge end (IX-IX), respectively; z m Is the axial distance from the discharge end (IX-IX) to the suction end (I-I).
The equations of the curves of the sections on the left section molded line (101) of the left screw rotor (1) of the full-smooth conical screw rotor of the double screw extruder are as follows:
(1) left eccentric circle involute AB:
Figure GDA0004235736510000034
(2) left tooth root arc BC:
Figure GDA0004235736510000035
(3) left addendum arc DA:
Figure GDA0004235736510000036
(4) conjugate curve CD of left eccentric circle involute AB:
taking out
Figure GDA0004235736510000041
The initial curve determined by the equation is rotated clockwise around the rotation center point O
Figure GDA0004235736510000042
The angle is used for obtaining an envelope line CD of the left eccentric circle involute AB;
order the
Figure GDA0004235736510000043
The method comprises the following steps:
Figure GDA0004235736510000044
will be solved
Figure GDA0004235736510000045
Substituting the original equation to obtain the equation of the conjugate curve CD of the left eccentric circle involute AB.
The beneficial effects of the invention are as follows:
(1) the full-smooth conical screw rotor of the double-screw extruder comprises a suction end (I-I) to a discharge end (IX-IX) of the screw rotor, wherein the section profile of the screw rotor is unfolded along a spiral line, and the tooth top arc radius R of the section profile of the screw rotor 1 Gradually decrease, the radius R of the arc of the tooth root 3 The working cavity volume of the suction end can be fully increased and the working cavity volume of the discharge end can be reduced by gradually increasing, so that the screw rotor has a good extrusion function, and the extrusion efficiency of the double-screw extruder is improved;
(2) the axes of the two screw rotors are parallel, so that the requirement on the installation precision is greatly reduced;
(3) the section profile of the screw rotor is simple in composition curve, and is convenient to process and manufacture;
(4) the section molded lines of the screw rotors are completely and smoothly connected with each other, and the screw rotors generated by expanding the section molded lines of the screw rotors along the spiral line can realize complete and correct engagement, so that the stress condition of the screw rotors is improved, the friction and abrasion of the screw rotors are reduced, and the service life of the screw rotors is prolonged;
(5) the screw rotor type and the section profile type of the screw rotor of the double-screw extruder are enriched.
Drawings
FIG. 1 is a cross-sectional profile of a fully smooth conical screw rotor of a twin screw extruder.
Fig. 2 is a meshing view of a section profile of two screw rotors.
Fig. 3 is a full smooth conical screw turn diagram of a twin screw extruder.
Fig. 4 is a diagram of the meshing of two fully smooth conical screw rotors in operation.
FIG. 5 is a diagram of instantaneous engagement of two screw rotors at the section profile at position (I-I);
FIG. 6 is a diagram of instantaneous engagement of two screw rotors at the (V-V) position with a cross-sectional profile;
FIG. 7 is a instantaneous meshing of the section profiles of the two screw rotors at positions (IX-IX);
in the figure: r is R 1 And R is 3 Respectively the tooth top arc radius and the tooth root arc radius on the section line of the screw rotor, R 2 Is the pitch radius, and 2R 2 ＝R 1 +R 3 The method comprises the steps of carrying out a first treatment on the surface of the Alpha is the central angle of the tooth top arc, and the central angle of the tooth root arc is equal to the central angle of the tooth top arc; beta is the generation angle of the involute of the eccentric circle; r is R b The base circle radius is the involute of the eccentric circle; gamma is the central angle of the involute of the eccentric circle; delta 1 The tooth top thickness of the screw rotor; delta 2 The root thickness of the screw rotor; p isPitch of the screw rotor; 1 is a left screw rotor; 2 is a right screw rotor; 101 is the left section profile of the left screw rotor (1); 201 is the right section profile of the right screw rotor (2); the points O, o are respectively the rotation center points of the section molded lines of the two screw rotors, and the axes of the points are respectively the rotation center lines of the two screw rotors; the point N, n is the center of the base circle of the involute of the eccentric circle on the section lines of the two screw rotors.
Detailed Description
The invention is further described below with reference to the drawings and examples.
As shown in fig. 1, a cross-sectional profile of a full-smooth conical screw rotor of the proposed twin-screw extruder; the left section molded line (101) of the left screw rotor (1) consists of 4 sections of curves, and comprises two sections of circular arcs and two sections of eccentric involute, and the left section molded line comprises the following components in turn in anticlockwise direction: the left eccentric circle involute AB, the left tooth root arc BC, the conjugate curve CD of the left eccentric circle involute and the left tooth top arc DA are completely and smoothly connected with each other; the left section molded line (101) of the left screw rotor (1) and the right section molded line (201) of the right screw rotor (2) are identical in shape.
As shown in fig. 2, a meshing diagram of the section profiles of the two screw rotors; the left section molded line (101) of the left screw rotor (1) and the right section molded line (201) of the right screw rotor (2) can be correctly meshed; the left eccentric involute AB, the left tooth root arc BC, the conjugate curve CD of the left eccentric involute and the left tooth top arc DA on the left section molded line (101) of the left screw rotor (1) are respectively meshed with the conjugate curve CD of the right eccentric involute, the right tooth top arc DA, the right eccentric involute AB and the right tooth root arc BC on the right section molded line (201) of the right screw rotor (2) accurately.
As shown in fig. 3, a full smooth conical screw rotor diagram for a twin screw extruder; I-I and IX-IX are the corresponding axial positions of the suction end and the discharge end of the two screw rotors respectively; the left screw rotor (1) is expanded from the suction end (I-I) to the discharge end (IX-IX) along a spiral line by a left section molded line (101), and the tooth top arc radius R on the left section molded line (101) of the left screw rotor (1) is simultaneously expanded in a spiral way 1 Gradually decrease the tooth rootRadius of arc R 3 Gradually increasing so that the whole screw rotor is conical; the left screw rotor (1) and the right screw rotor (2) are identical, and the axes of the two screw rotors are parallel;
as shown in fig. 4, a meshing diagram of two fully smooth conical screw rotors in operation; the pitch P of the screw rotor is kept unchanged; tip thickness delta of screw rotor 1 And root thickness delta 2 Is unchanged and equal along the axial direction all the time; in the process that the section molded line is unfolded along the spiral line to generate the screw rotor, when the axial distance z between the section molded line and the suction end (I-I) is 0, P/2, P,3P/2,2P,5P/2,3P,7P/2,4P, the corresponding axial positions are respectively represented by I-I, II-II, III-III, IV-IV, V-V, VI-VI, VII-VII, VIII-VIII, IX-IX.
FIG. 5 shows a diagram of the instantaneous engagement of two screw rotors at the (I-I) position with a section profile;
as shown in fig. 6, a transient mesh pattern of the cross-sectional profile of two screw rotors at the (v-v) position;
FIG. 7 is a diagram of instantaneous engagement of the cross-sectional profile of two screw rotors at positions (IX-IX);
it can be seen from fig. 5, 6 and 7 that the cross-sectional profiles of the two screw rotors are fully meshed at any axial position, so that it can be explained that the two screw rotors can be fully and correctly meshed in synchronous co-rotating double-rotation motion; at the same time, the tip arc radius R of the section profile of the screw rotor from the suction end (I-I) to the discharge end (IX-IX) of the screw rotor is visible 1 Gradually decrease, the radius R of the arc of the tooth root 3 Gradually increase the pitch radius R 2 Remain unchanged; the two screw rotors formed by expanding the section molded lines along the spiral line gradually reduce the volume of the working cavity from the suction end (I-I) to the discharge end (IX-IX), so that the screw rotors have good extrusion function, and the extrusion efficiency of the double-screw extruder is improved.
While the foregoing description of the embodiments of the present invention has been presented in conjunction with the drawings, it should be understood that it is not intended to limit the scope of the invention, but rather, it is intended to cover all modifications or variations within the scope of the invention as defined by the claims of the present invention.

Claims (1)

1. A fully smooth conical screw rotor for a twin screw extruder, comprising: left screw rotor (1) and right screw rotor (2), characterized by: the left screw rotor (1) is conical, and the screw pitch P of the left screw rotor (1) is kept unchanged; the type and the number of the composition curves of the left section molded line (101) of the left screw rotor (1) at any axial position are the same; from the suction end (I-I) to the discharge end (IX-IX) of the left screw rotor (1), the tip arc radius R of the left section profile (101) of the left screw rotor (1) 1 Gradually decrease, the radius R of the arc of the tooth root 3 Gradually increase the pitch radius R 2 Remain unchanged; tooth tip thickness delta of left screw rotor (1) 1 And root thickness delta 2 Is always unchanged and equal, i.e. delta 1 ＝δ 2 The method comprises the steps of carrying out a first treatment on the surface of the The left screw rotor (1) and the right screw rotor (2) are identical, and the axes of the two screw rotors are parallel;
the left section profile (101) of the left screw rotor (1) consists of 4 sections of curves: the left eccentric circle involute AB, the left tooth root arc BC, the conjugate curve CD of the left eccentric circle involute and the left tooth top arc DA are completely and smoothly connected with each other; the right section profile (201) of the right screw rotor (2) consists of 4 sections of curves: a right eccentric circle involute ab, a right tooth root arc bc, a conjugate curve cd of the right eccentric circle involute and a right tooth top arc da; in synchronous homodromous double-rotation motion, the left screw rotor (1) and the right screw rotor (2) can be completely and correctly meshed; the left section molded line (101) of the left screw rotor (1) and the right section molded line (201) of the right screw rotor (2) can be correctly meshed; the left eccentric involute AB, the left tooth root arc BC, the conjugate curve CD of the left eccentric involute and the left tooth top arc DA on the left section molded line (101) of the left screw rotor (1) are respectively meshed with the conjugate curve CD of the right eccentric involute, the right tooth top arc DA, the right eccentric involute AB and the right tooth root arc BC on the right section molded line (201) of the right screw rotor (2) accurately;
left section of left screw rotor (1)6 geometric parameters on the face line (101): radius R of tip arc 1 Radius R of arc of tooth root 3 Base radius R of involute of eccentric circle b The following equations are satisfied between the central angle gamma of the involute of the eccentric circle, the central angle alpha of the circular arc and the occurrence angle beta of the involute of the eccentric circle:
Figure FDA0004235736490000011
wherein: r is R 2 Is the pitch radius;
at any axial position, the tooth tip arc radius R on the left section line (101) of the left screw rotor (1) 1 And root radius R 3 As a function of the axial distance z of the section line from the suction end (I-I);
radius R of tip arc 1 The relation of change along with the axial distance z is as follows:
Figure FDA0004235736490000021
radius of arc of tooth root R 3 The relation of change along with the axial distance z is as follows:
Figure FDA0004235736490000022
wherein: r is R s1 、R d1 The radii of the tooth top circular arcs at the suction end (I-I) and the discharge end (IX-IX) respectively; r is R s3 、R d3 Root radius at the suction end (I-I) and the discharge end (IX-IX), respectively; z m Is the axial distance from the discharge end (IX-IX) to the suction end (I-I);
the equation of each section of curve on the left section profile (101) of the left screw rotor (1) is as follows:
(1) left eccentric circle involute AB:
Figure FDA0004235736490000023
(2) left tooth root arc BC:
Figure FDA0004235736490000024
(3) left addendum arc DA:
Figure FDA0004235736490000025
(4) conjugate curve CD of left eccentric circle involute AB:
taking out
Figure FDA0004235736490000026
The initial curve determined by the equation is rotated clockwise around the rotation center point O
Figure FDA0004235736490000027
The angle is used for obtaining an envelope line CD of the left eccentric circle involute AB;
order the
Figure FDA0004235736490000031
The method comprises the following steps:
Figure FDA0004235736490000032
will be solved
Figure FDA0004235736490000033
Substituting the original equation to obtain the equation of the conjugate curve CD of the left eccentric circle involute AB.
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CN109458226B (en) * 2018-12-25 2024-08-09 中国石油大学(华东) Variable cross-section screw rotor of double-screw expander
CN109695568B (en) * 2019-02-21 2024-06-04 威海智德真空科技有限公司 Co-rotating conjugate meshed double screw
CN113530818B (en) * 2021-07-12 2022-10-25 西安交通大学 Single-head twisted lobe roots pump rotor and lobe pump

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