Design method of double screw rotor end face profile for improving load
By using segmented design and meshing line correction, the problems of large computational load and high leakage in twin-screw rotor profile design were solved, achieving efficient rotor profile optimization and load improvement.
Patent Information
- Authority / Receiving Office
- CN · China
- Patent Type
- Patents(China)
- Current Assignee / Owner
- Filing Date
- 2023-06-26
- Publication Date
- 2026-03-17
AI Technical Summary
Existing technologies involve large computational loads and low efficiency when designing the profile of twin-screw rotors, making it difficult to optimize rotor stress and reduce leakage, especially under high-pressure conditions.
The rack profile is designed in segments using the normal rack method and the tooth profile normal method. The end face profile segments of the male and female rotors are calculated. The rotor profile is optimized by smooth connection and meshing line correction to improve load and reduce leakage.
It improves computational efficiency, optimizes area utilization and leakage, and adapts to rotor designs under different pressure conditions.
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Figure CN116720378B_ABST
Abstract
Description
Technical Field
[0001] This application relates to the field of twin-screw rotor design technology, and specifically to a twin-screw rotor end face profile design method that can improve load capacity. Background Technology
[0002] Twin-screw extruders consist of two meshing rotors, a female rotor and a male rotor. When the two rotors mesh, the inter-tooth volume between them changes with the meshing motion. During this change in inter-tooth volume, the rotors need to withstand gas forces, the magnitude of which is usually related to the operating pressure and the rotor profile. In high-pressure conditions, the rotor's stress is more complex, and the leakage is greater. The rotor profile needs to be adjusted to optimize the rotor's stress and reduce leakage. However, the profile has many parameters, and each set of parameters needs to be recalculated and improved during optimization, resulting in a large amount of calculation, long processing time, and relatively low efficiency. Summary of the Invention
[0003] The purpose of this application is to provide a method for designing the end face profile of a twin-screw rotor that can improve load capacity and solve the aforementioned technical problems.
[0004] This application provides a method for designing the end face profile of a twin-screw rotor to improve load capacity, comprising the following steps:
[0005] Based on the normal rack method, construct the rack profile segment on one side of the long side of the rack profile, and calculate the corresponding female rotor end face profile segment and male rotor end face profile segment;
[0006] Construct the female rotor end face profile segment and / or male rotor end face profile segment on the short side of the rack profile line based on the tooth profile normal method, calculate the corresponding male rotor end face profile segment and / or female rotor end face profile segment, as well as the corresponding rack profile segment.
[0007] Smoothly connect all the end face profile segments of the female rotor to construct the end face profile of the female rotor;
[0008] The meshing line is constructed based on the end face profile of the female rotor, and the meshing line is modified to obtain the modified meshing line.
[0009] Based on the corrected meshing line, the end face profiles of the male rotor and the female rotor are reconstructed using the meshing line method.
[0010] In some embodiments, the calculation of the corresponding female rotor end face profile and male rotor end face profile on one side of the long side of the rack profile includes:
[0011] Based on the normal rack method, rack-shaped line segments AB, BC, and CD are constructed, and their conjugate curves on the female and male rotors are calculated: female rotor end face line segments A1B1, B1C1, and C1D1, and male rotor end face line segments A2B2, B2C2, and C2D2.
[0012] In some embodiments, the construction of the female rotor end face profile segment and / or male rotor end face profile segment on the short side of the rack profile line, calculating the corresponding male rotor end face profile segment and / or female rotor end face profile segment, and the corresponding rack profile segment, includes:
[0013] Based on the tooth profile normal method, construct the male rotor end face line segments D2E2 and F2G2, and calculate their conjugate curves on the female rotor and rack: female rotor end face line segments D1E1 and F1G1, and rack line segments DE and FG.
[0014] And / or, based on the tooth profile normal method, construct the female rotor end face type line segments E1F1 and G1H1, and calculate their conjugate curves on the male rotor and rack: male rotor end face type line segments E2F2 and G2H2, and rack type line segments EF and GH.
[0015] In some embodiments, rack-shaped segments AB, BC, CD, DE, EF, FG, and GH are connected smoothly in sequence, wherein:
[0016] AB: is an elliptic curve segment with a major axis radius of (0.04-0.06)a and a minor axis radius of (0.03-0.05)a, where a is the center distance between the female and male rotors;
[0017] BC: is a straight line;
[0018] CD: is an elliptic curve segment with a major axis radius of (0.3-0.5)a and a minor axis radius of (0.1-0.3)a;
[0019] DE: is the envelope of a segment of arc on the male rotor end face profile on the rack, and the radius of the segment of arc on the male rotor end face profile is (0.01-0.05)a;
[0020] EF: is the envelope of a segment of arc on the female rotor end face profile on the rack, and the radius of the segment of arc on the female rotor end face profile is (0.05-0.1)a;
[0021] FG: is the envelope of a segment of arc on the male rotor end face profile on the rack, and the radius of the segment of arc on the male rotor end face profile is (0.0025-0.0125)a;
[0022] GH: is the envelope of a segment of arc on the end face profile of the female rotor on the rack, and the radius of the segment of arc on the end face profile of the female rotor is (0.0025-0.0125)a.
[0023] In some embodiments, it also includes:
[0024] Based on the normal rack method, rack-shaped segments HI and IJ are constructed, and their conjugate curves on the female rotor and male rotor are calculated: female rotor end face segments H1I1 and I1J1, and male rotor end face segments H2I2 and I2J2.
[0025] GH smoothly connects to HI, and HI smoothly connects to IJ;
[0026] Where HI is an arc with a radius of (0.02-0.05)a;
[0027] IJ is a straight line, and the conjugate curve I2J2 on the male rotor is a circular arc with a radius of 1 / 2 the bottom diameter of the male rotor;
[0028] The conjugate curve I1J1 on the female rotor is a circular arc with a radius of 1 / 2 the outer diameter of the female rotor, and the arc range is 0-30°.
[0029] In some embodiments, it also includes:
[0030] In the reconstructed male rotor end face profile and female rotor end face profile, the self-crossing position is corrected based on the tooth profile method.
[0031] In some embodiments, the meshing line constructed based on the end face profile of the female rotor includes:
[0032] Obtain the coordinates of points on the end face profile of the female rotor and the meshing angle of the female rotor, and calculate the coordinate positions of the corresponding points on the meshing line:
[0033]
[0034]
[0035]
[0036]
[0037] Where x3 and y3 are the coordinates of points on the meshing line, and x2 and y2 are the coordinates of points on the profile line of the female rotor end face, and the coordinates are located in a rectangular coordinate system. Z1 is the meshing angle of the female rotor, Z2 is the number of teeth of the male rotor, and A is the center distance between the female and male rotors.
[0038] In some embodiments, the correction of the meshing line to obtain a corrected meshing line includes:
[0039] x′3=x3;
[0040] y′3=y3·k y3 ;
[0041]
[0042] Where x'3 and y'3 are the coordinates of points on the corrected meshing line, x3 and y3 are the coordinates of points on the meshing line, and the coordinates are located in a rectangular coordinate system, k y3 k is the correction factor for the Y-coordinate of the meshing line. f k is the correction factor for the short-side meshing line. r This is the correction factor for the long-side meshing line.
[0043] In some embodiments, the engagement line of CD is modified for the long-side engagement segment, where k r The value range is 0.9-1.2.
[0044] In some embodiments, the k r It is 0.95.
[0045] In some embodiments, the meshing line of DE and EF is modified for the short-side meshing segment, where k f The value range is 0.9-1.2.
[0046] In some embodiments, the k f It is 1.05.
[0047] In some embodiments, the reconstructing of the male rotor end face profile and the female rotor end face profile based on the modified meshing line and in combination with the meshing line method includes:
[0048] Based on the revised line of engagement, the male rotor end face profile is reconstructed using the line of engagement method:
[0049] Obtain the coordinates of points on the corrected meshing line, the center distance between the female and male rotors, and the pitch circle radius of the male rotor; then calculate the coordinates of points on the end face profile of the male rotor.
[0050]
[0051]
[0052]
[0053] Where x1 and y1 are the coordinates of points on the male rotor end face profile, a is the rotor center distance between the female and male rotors, x'3 and y'3 are the coordinates of points on the corrected meshing line, and R 1tis the pitch circle radius of the male rotor, and k'3 is the tangent slope of the meshing line;
[0054] Based on the corrected line of engagement, the female rotor end face profile was reconstructed using the line of engagement method:
[0055] Obtain the coordinates of the points on the corrected meshing line and the pitch circle radius of the female rotor, and calculate the coordinates of the points on the end face profile of the female rotor:
[0056]
[0057]
[0058]
[0059] Where x2 and y2 are the coordinates of points on the female rotor end face profile, x′3 and y′3 are the coordinates of points on the corrected meshing line, and R 2t is the pitch circle radius of the female rotor, and k'3 is the tangent slope of the meshing line.
[0060] The beneficial effects of this application are as follows: Compared with the prior art, this application provides a design method for the end face profile of a twin-screw rotor that can improve load capacity. Considering that the long side of the rack profile has a higher requirement for area utilization, the rack profile segment located on the long side of the rack profile is designed using the normal rack method. Then, the corresponding female rotor end face profile and male rotor end face profile are calculated using the designed rack profile segment, which can effectively improve calculation efficiency and facilitate the optimization of curves with higher area utilization. It also considers that the short side of the rack profile has a higher requirement for the leakage triangle. The rack profile located on the short side of the rack profile is first designed according to the tooth profile normal method for the end face profile segments of the male / female rotors. Then, the corresponding end face profile segments and rack profile segments of the male / female rotors are calculated through the end face profile segments of the male / female rotors, which can effectively avoid interference. The meshing line is constructed through the end face profile of the female rotor. By modifying the meshing line, the improved end face profiles of the male and female rotors are constructed through the meshing line. By correspondingly modifying the meshing line, the improved end face profiles of the male and female rotors can adapt to the corresponding pressure conditions. Attached Figure Description
[0061] To more clearly illustrate the technical solutions in the embodiments of this application, the accompanying drawings used in the description of the embodiments will be briefly introduced below. Obviously, the accompanying drawings described below are only some embodiments of this application. For those skilled in the art, other drawings can be obtained based on these drawings without creative effort.
[0062] Figure 1A schematic diagram of the end face profile in the twin-screw rotor end face profile design method for improving load provided in the embodiments of this application (showing the female rotor end face profile, male rotor end face profile, rack profile, and meshing line);
[0063] Figure 2 A schematic diagram of the rack profile in the twin-screw rotor end face profile design method for improving load capacity provided in the embodiments of this application (showing each rack profile segment and connection point);
[0064] Figure 3 A schematic diagram of the male rotor end face profile in the twin-screw rotor end face profile design method for improving load provided in the embodiments of this application (showing each male rotor end face profile segment and connection point);
[0065] Figure 4 A schematic diagram of the female rotor end face profile in the twin-screw rotor end face profile design method for improving load provided in the embodiments of this application (showing each female rotor profile segment and connection point);
[0066] Figure 5 A schematic diagram of the meshing lines in the twin-screw rotor end face profile design method for improving load capacity provided in the embodiments of this application (showing each meshing line segment and connection point);
[0067] Figure 6 A schematic diagram of another end face profile in the twin-screw rotor end face profile design method for improving load provided in the embodiments of this application (showing the female rotor end face profile, the male rotor end face profile, and the rotor center distance a);
[0068] Figure 7 A flowchart illustrating the steps of a method for designing the end face profile of a twin-screw rotor that can improve load capacity, as provided in an embodiment of this application. Detailed Implementation
[0069] The technical solutions of the embodiments of this application will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of this application, and not all embodiments. Based on the embodiments of this application, all other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of this application.
[0070] In the description of this application, it should be understood that the terms "center", "upper", "lower", "front", "rear", "left", "right", "vertical", "horizontal", "top", "bottom", "inner", "outer", etc., indicate the orientation or positional relationship based on the orientation or positional relationship shown in the accompanying drawings. They are only for the convenience of describing this application and simplifying the description, and do not indicate or imply that the device or element referred to must have a specific orientation, or be constructed and operated in a specific orientation. Therefore, they should not be construed as limitations on this application.
[0071] The terms "first" and "second" are used for descriptive purposes only and should not be construed as indicating or implying relative importance or implicitly specifying the number of technical features indicated. Therefore, a feature defined as "first" or "second" may explicitly or implicitly include one or more of that feature. In the description of this application, unless otherwise stated, "a plurality of" means two or more.
[0072] In the description of this application, it should be noted that, unless otherwise expressly specified and limited, the terms "installation," "connection," and "linking" should be interpreted broadly. For example, they can refer to a fixed connection, a detachable connection, or an integral connection; they can refer to a mechanical connection, a direct connection, or an indirect connection through an intermediate medium; or they can refer to the internal communication between two components. Those skilled in the art can understand the specific meaning of the above terms in this application based on the specific circumstances.
[0073] This application provides a method for designing the end face profile of a twin-screw rotor that can improve load capacity, such as... Figures 1 to 7 As shown, this application considers the rack profile segmentation during design: Since the long side of the rack profile has a higher requirement for area utilization compared to the leakage triangle, this application calculates and designs the rack profile segment on the long side using the normal rack method. After designing the rack profile segment, the corresponding female rotor end face profile segment and male rotor end face profile segment are calculated, which effectively improves calculation efficiency and facilitates optimization to obtain a profile with higher area utilization. Since the short side of the rack profile has a higher requirement for the leakage triangle compared to the area utilization, this application... For the rack-shaped segment on the short side of the rack profile, the end face segments of the male / female rotors are first designed according to the tooth profile normal method. Then, the corresponding end face segments and rack-shaped segments of the male / female rotors are calculated using the end face segments of the male / female rotors. The interference position is rounded by using the tooth profile normal method, which can effectively avoid the occurrence of interference. The meshing line is constructed using the end face profile of the female rotor. By modifying the meshing line, the improved end face profiles of the male and female rotors are constructed. By correspondingly modifying the meshing line, the improved end face profiles of the male and female rotors can adapt to the corresponding pressure conditions.
[0074] In the specific design, such as Figure 7 As shown, it includes the following steps:
[0075] Step 1: Construct the rack profile segment on one side of the long side of the rack profile based on the normal rack method, and calculate the corresponding female rotor end face profile segment and male rotor end face profile segment:
[0076] In this application, such as Figures 1 to 4 and Figure 6As shown, rack-shaped line segments AB, BC, and CD are constructed on one side of the long side of the rack-shaped line. AB, BC, and CD are connected smoothly in sequence. For each rack-shaped line segment, their conjugate curves on the female rotor are calculated: female rotor end face line segments A1B1, B1C1, and C1D1. Their conjugate curves on the male rotor are calculated: male rotor end face line segments A2B2, B2C2, and C2D2.
[0077] Where AB is the curve segment of the ellipse, the center of the ellipse is O1, the major axis radius of the ellipse to which AB belongs is (0.04-0.06)a, the minor axis radius is (0.03-0.05)a, a is the center distance between the male and female rotors, the distance from point A to the center of the ellipse is R1A, and the distance from point B to the center of the ellipse is R1B.
[0078] BC is a smooth straight line connecting AB and CD;
[0079] CD is a curve segment of an ellipse with its center at O3. The major axis radius of the ellipse to which CD belongs is (0.3-0.5)a, and the minor axis radius is (0.1-0.3)a. The distance from point C to the center of the ellipse is R3C, and the distance from point D to the center of the ellipse is R3D.
[0080] Step 2: Construct the female rotor end face profile segment and / or male rotor end face profile segment on the short side of the rack profile line based on the tooth profile normal method, and calculate the corresponding male rotor end face profile segment and / or female rotor end face profile segment, as well as the corresponding rack profile segment:
[0081] In this application, such as Figures 1 to 4 and Figure 6 As shown, construct male rotor end face line segments D2E2 and F2G2 on one side of the short side of the rack profile line. Calculate the conjugate curves on the female rotor for each male rotor end face line segment: female rotor end face line segments D1E1 and F1G1. Calculate their conjugate curves on the rack: rack profile lines DE and FG.
[0082] Where DE is the envelope curve of a circular arc with center O4 and radius R4 on the male rotor end face profile line on the rack, and R4 is (0.01-0.05)a;
[0083] FG is the envelope curve of an arc with center O6 and radius R6 on the male rotor end face profile on the rack, where R6 is (0.0025-0.0125)a.
[0084] In this application, female rotor end face line segments E1F1 and G1H1 are constructed on one side of the short side of the rack profile line. The conjugate curves of each female rotor end face line segment on the male rotor are calculated: male rotor end face line segments E2F2 and G2H2. The conjugate curves of each male rotor end face line segment on the rack are calculated: rack profile line segments EF and GH.
[0085] Wherein, EF is the envelope curve of a circular arc with center O5 and radius R5 on the end face profile of the female rotor on the rack, and R5 is (0.05-0.10)a;
[0086] GH is the envelope curve of an arc with center O7 and radius R7 on the rack along the end face profile of the female rotor, where R7 is (0.0025-0.0125)a.
[0087] In this application, DE, EF, FG and GH are smoothly connected, and CD is smoothly connected to DE.
[0088] Meanwhile, in order to improve the rack profile in this application, rack profile segments HI and IJ are constructed based on the normal rack method. As part of the rack profile, GH is smoothly connected to HI, and HI is smoothly connected to IJ.
[0089] For the corresponding rack profile lines HI and IJ, calculate their conjugate curves on the male rotor: male rotor end face profile lines H2I2 and I2J2, and calculate their conjugate curves on the female rotor: female rotor end face profile lines H1I1 and I1J1.
[0090] Wherein, HI is an arc with center O8 and radius R8, where R8 is (0.02-0.05)a;
[0091] IJ is a vertical straight line, and its conjugate curves on the male and female rotors are two circular arcs: the conjugate profile on the female rotor is a circular arc with center Of and radius R9f, where R9f is equal to half the outer diameter of the female rotor, and the arc radius b9f ranges from 0 to 30°; the conjugate profile on the male rotor is a circular arc with center Om and radius R9m, where R9m is equal to half the bottom diameter of the male rotor, and the arc radius b9m = b9f * z2 / z1.
[0092] Step 3: Smoothly connect all the end face profile segments of the female rotor to construct the end face profile of the female rotor:
[0093] like Figure 1 , Figure 4 The female rotor end face profile segments A1B1, B1C1, C1D1, D1E1, E1F1, F1G1, G1H1, H1I1 and I1J1 obtained in steps 1 and 2 are connected smoothly in sequence to construct the end face profile of the female rotor.
[0094] Step 4: Construct the meshing line based on the end face profile of the female rotor, and modify the meshing line to obtain the modified meshing line:
[0095] 4.1: Within the same Cartesian coordinate system, obtain the coordinates and meshing angles of points on the end face profile of the female rotor, and calculate the coordinates of the corresponding points on the meshing line:
[0096]
[0097]
[0098]
[0099]
[0100] Where x3 and y3 are the coordinates of points on the meshing line, and x2 and y2 are the coordinates of points on the profile line of the female rotor end face, and the coordinates are located in a rectangular coordinate system. Z1 is the meshing angle of the female rotor, Z2 is the number of teeth of the male rotor, and A is the center distance between the female and male rotors.
[0101] In this application, such as Figure 5 The diagram shows a schematic of the meshing line. In the diagram, A3B3, B3C3, C3D3, D3E3, E3F3, F3G3, G3H3, H3I3 and I3J3 are smoothly connected in sequence, with A3I3 and J3 overlapping.
[0102] 4.2: After the meshing line is constructed, it is modified based on pressure conditions and leakage criteria.
[0103] Obtain the coordinates of the points on the meshing line and make careful corrections using the correction coefficients:
[0104] x′3=x3;
[0105] y′3=y3·k y3 ;
[0106]
[0107] Where x'3 and y'3 are the coordinates of points on the corrected meshing line, x3 and y3 are the coordinates of points on the meshing line, and the coordinates are located in a rectangular coordinate system, k y3 k is the correction factor for the Y-coordinate of the meshing line. f k is the correction factor for the short-side meshing line. r This is the correction factor for the long-side meshing line.
[0108] When correcting the meshing segments corresponding to different curve segments, different correction coefficients are selected:
[0109] The CD segment on the longer side is adjusted according to the correction factor k. r Make corrections, k rThe value range is 0.9 to 1.2. When this correction value is less than 1, it is beneficial to increase the area of the leakage triangle, which will increase the leakage amount, while reducing the length of the meshing line, which will reduce the leakage amount; conversely, when it is greater than 1, it is beneficial to reduce the area of the leakage triangle, which will reduce the leakage amount, while increasing the length of the meshing line, which will increase the leakage amount. Therefore, the preferred approach for the longer side is to reduce the length of the meshing line, usually k r Less than 1, the preliminary calculation of the embodiments of this application takes 0.95 as appropriate. At this value, the meshing line length is relatively short, while the loss of area utilization coefficient is not large, resulting in good overall performance.
[0110] <![CDATA[k r ]]> 0.92 0.95 0.97 Length of the line of action per tooth / mm 63.1584 638.4268 640.6704 Area utilization coefficient 0.49817 0.49943 0.50025
[0111] For the short side segments DE and EF, the meshing line is adjusted according to the correction factor k. f Make corrections, k f The value range is 0.9 to 1.2. A correction value less than 1 is beneficial for reducing the length of the meshing line, which can reduce leakage, but it increases the area of the leakage triangle, thus increasing leakage. Conversely, a value greater than 1 is beneficial for reducing the area of the leakage triangle, which can reduce leakage, but it increases the length of the meshing line, thus increasing leakage. Therefore, the option to reduce the area of the leakage triangle is preferred on the shorter side, typically k. f A value greater than 1 is preferred for preliminary calculations, with 1.05 being the optimal value. At this value, the leakage triangle area is smaller, which helps reduce leakage; the area utilization coefficient is larger, which helps increase the intake volume; and it exhibits excellent overall performance.
[0112] <![CDATA[k f ]]> 1.02 1.05 1.07 Leakage triangle area / mm2 70.913.2 64.53939 65.91349 Area utilization coefficient 0.50219 0.5044 0.50395
[0113] Step 5: Based on the corrected meshing line, reconstruct the male rotor end face profile and the female rotor end face profile using the meshing line method:
[0114] After the meshing line is corrected, the male rotor end face profile is reconstructed based on the corrected meshing line and the meshing line method:
[0115] Obtain the coordinates of points on the corrected meshing line, the center distance between the female and male rotors, and the pitch circle radius of the male rotor; then calculate the coordinates of points on the end face profile of the male rotor.
[0116]
[0117]
[0118]
[0119] Where x1 and y1 are the coordinates of points on the male rotor end face profile, a is the rotor center distance between the female and male rotors, x′3 and y′3 are the coordinates of points on the corrected meshing line, and R 1tis the pitch circle radius of the male rotor, and k′3 is the slope of the tangent to the meshing line;
[0120] Based on the corrected line of engagement, the female rotor end face profile that can improve load is calculated using the line of engagement method:
[0121] Obtain the coordinates of the points on the corrected meshing line and the pitch circle radius of the female rotor, and calculate the coordinates of the points on the end face profile of the female rotor:
[0122]
[0123]
[0124]
[0125] Where x2 and y2 are the coordinates of points on the female rotor end face profile, x'3 and y'3 are the coordinates of points on the corrected meshing line, and R 2t is the pitch circle radius of the female rotor, and k'3 is the tangent slope of the meshing line.
[0126] Step 6: In the male rotor end face profile and female rotor end face profile that can improve load, the self-crossing position is corrected based on the tooth profile method.
[0127] Based on the above steps, this application provides a set of preferred embodiments:
[0128] The number of teeth on the male rotor is z1 = 4;
[0129] The number of teeth on the female rotor is z2 = 6;
[0130] Rotor center distance a = 400 mm;
[0131] Male rotor outer diameter D1 = 510 mm;
[0132] Female rotor outer diameter D2 = 508 mm;
[0133] Male rotor bottom diameter d1 = 292 mm;
[0134] Female rotor bottom diameter d2 = 290 mm;
[0135] Male rotor pitch circle D1t = 320mm;
[0136] Female rotor pitch circle D2t = 480 mm;
[0137] The long side correction factor kr = 0.95;
[0138] The short-side correction factor kf = 1.05;
[0139] The distance from point A to the center O1 of the ellipse is R1A = 16.55 mm;
[0140] The distance from point B to the center O1 of the ellipse is R1B = 22.45 mm;
[0141] The distance from point C to the center O3 of the ellipse is R3C = 102.0 mm;
[0142] The distance from point D to the center O3 of the ellipse is R3D = 129.9 mm;
[0143] The radius of the arc in segment DE is R4 = 6.16 mm;
[0144] The radius of the arc in segment EF is R5 = 30.74 mm;
[0145] The radius of the arc in segment FG is R6 = 3mm;
[0146] The radius of the arc in segment GH is R7 = 3mm;
[0147] The radius of the arc in segment HI is R8 = 12.6 mm;
[0148] The radius of the arc in section IJ is R9m = D1 / 2 = 255mm;
[0149] The radius of the arc in segment IJ is R9f = D2 / 2 = 254mm;
[0150] The arc radius of segment IJ is b9m = 10.2172°;
[0151] The arc radius of segment IJ is b9f = 6.8115°.
[0152] All the above data were obtained using existing dimensional measuring tools such as vernier calipers and micrometers.
[0153] This application has provided a detailed description of the method for designing the end face profile of a twin-screw rotor that can improve load capacity, as provided in the embodiments of this application. Specific examples have been used to illustrate the principles and implementation methods of this application. The descriptions of the above embodiments are only for the purpose of helping to understand the method and core ideas of this application. At the same time, for those skilled in the art, there will be changes in the specific implementation methods and application scope based on the ideas of this application. Therefore, the content of this specification should not be construed as a limitation of this application.
Claims
1. A method for designing the profile of the end face of a twin-screw rotor for increasing the load, characterized in that: The method comprises the following steps: constructing a rack profile line segment on the long side of the rack profile line based on the normal rack method, calculating the corresponding female rotor end face profile line segment and male rotor end face profile line segment; constructing the female rotor end face profile line segment and / or male rotor end face profile line segment on the short side of the rack profile line based on the tooth profile normal method, calculating the corresponding male rotor end face profile line segment and / or female rotor end face profile line segment, and the corresponding rack profile line segment; smoothly connecting all the female rotor end face profile lines to construct the end face profile line of the female rotor; constructing the meshing line based on the end face profile line of the female rotor, comprising: obtaining the coordinates of a point on the end face profile line of the female rotor and the meshing angle of the female rotor, and calculating the coordinate position of a corresponding point on the meshing line: ; ; ; ; wherein , are coordinates of a point on the meshing line, , are coordinates of a point on the end face profile of the female rotor, said coordinates being in a rectangular coordinate system, is the meshing angle of the female rotor, is the number of teeth of the male rotor, is the number of teeth of the female rotor, is the rotor center distance of the female rotor and the male rotor; correcting the meshing line to obtain a corrected meshing line, comprising: ; ; ; wherein, and is the coordinate of the point on the corrected meshing line, and is the coordinate of the point on the meshing line, which is located in the rectangular coordinate system, is the correction coefficient of the meshing line Y coordinate, is the correction coefficient of the short side meshing line, is the correction coefficient of the long side meshing line; reconstructing the male rotor end face profile line and the female rotor end face profile line based on the corrected meshing line and the meshing line method, comprising: reconstructing the male rotor end face profile line based on the corrected meshing line and the meshing line method: obtaining the coordinates of a point on the corrected meshing line, the rotor center distance of the female rotor and the male rotor, and the pitch circle radius of the male rotor, and calculating the coordinates of a point on the male rotor end face profile line: ; ; ; wherein, and are coordinates of a point on the end face profile of the male rotor, a is the rotor center distance of the female rotor and the male rotor, and are coordinates of a point on the corrected meshing line, is the pitch circle radius of the male rotor, is the tangent slope of the meshing line; reconstructing the female rotor end face profile line based on the corrected meshing line and the meshing line method: obtaining the coordinates of a point on the corrected meshing line and the pitch circle radius of the female rotor, and calculating the coordinates of a point on the female rotor end face profile line: ; ; ; wherein and are the coordinates of a point on the profile of the female rotor end face, and are the coordinates of the modified point on the line of action, is the pitch diameter of the female rotor, is the slope of the tangent to the line of action.
2. The method for designing the end face profile line of a double screw rotor capable of improving load according to claim 1, wherein: the step of constructing the rack profile line segment on the long side of the rack profile line, calculating the corresponding female rotor end face profile line segment and male rotor end face profile line segment, comprises: based on the normal rack method, constructing the rack profile line segments AB, BC and CD, and calculating the conjugate curves thereof on the female rotor and the male rotor: the female rotor end face profile line segments A1B1, B1C1 and C1D1, and the male rotor end face profile line segments A2B2, B2C2 and C2D2.
3. The method for designing the end face profile line of a double screw rotor capable of improving load according to claim 2, wherein: the step of constructing the female rotor end face profile line segment and / or male rotor end face profile line segment on the short side of the rack profile line, calculating the corresponding male rotor end face profile line segment and / or female rotor end face profile line segment, and the corresponding rack profile line segment, comprises: based on the tooth profile normal method, constructing the male rotor end face profile line segments D2E2 and F2G2, and calculating the conjugate curves thereof on the female rotor and the rack: the female rotor end face profile line segments D1E1 and F1G1, and the rack profile line segments DE and FG; and / or, based on the tooth profile normal method, constructing the female rotor end face profile line segments E1F1 and G1H1, and calculating the conjugate curves thereof on the male rotor and the rack: the male rotor end face profile line segments E2F2 and G2H2, and the rack profile line segments EF and GH.
4. The method for designing the end face profile line of a double screw rotor capable of improving load according to claim 3, wherein: the rack profile line segments AB, BC, CD, DE, EF, FG and GH are smoothly connected in sequence, wherein: AB: is an elliptic curve segment, the long axis radius of the ellipse is (0.04-0.06)a, and the short axis radius is (0.03-0.05)a, wherein a is the center distance of the rotor of the female rotor and the male rotor; BC: is a straight line; CD: is an elliptic curve segment, the long axis radius of the ellipse is (0.3-0.5)a, and the short axis radius is (0.1-0.3)a; DE: is an envelope curve of a circular arc on the rack on the male rotor end face profile, the radius of the circular arc on the male rotor end face profile is (0.01-0.05)a; EF: is an envelope curve of a circular arc on the rack on the female rotor end face profile, the radius of the circular arc on the female rotor end face profile is (0.05-0.1)a; FG: is an envelope curve of a circular arc on the rack on the male rotor end face profile, the radius of the circular arc on the male rotor end face profile is (0.0025-0.0125)a; GH: is an envelope curve of a circular arc on the rack on the female rotor end face profile, the radius of the circular arc on the female rotor end face profile is (0.0025-0.0125)a.
5. The method of claim 4, further comprising: constructing rack profile segments HI and IJ based on the normal rack method, and calculating conjugate curves thereof on the female rotor and the male rotor: female rotor end face profile segments H1I1 and I1J1, and male rotor end face profile segments H2I2 and I2J2; GH smoothly connects HI, and HI smoothly connects IJ; wherein HI is a circular arc with a radius of (0.02-0.05)a; IJ is a straight line, the conjugate curve I2J2 on the male rotor is a circular arc with a radius of 1 / 2 of the bottom diameter of the male rotor; the conjugate curve I1J1 on the female rotor is a circular arc with a radius of 1 / 2 of the outer diameter of the female rotor, and the radian range is 0-30°.
6. The method of claim 1, further comprising: modifying the re-constructed male rotor end face profile and the female rotor end face profile based on the tooth profile line method at the self-crossing position.
7. The method of claim 3, wherein the re-constructed male rotor end face profile and the female rotor end face profile are constructed based on the normal rack method.
8. The method of claim 7, wherein the re-constructed male rotor end face profile and the female rotor end face profile are constructed based on the normal rack method.
9. The method of claim 3, wherein the re-constructed male rotor end face profile and the female rotor end face profile are constructed based on the normal rack method.
10. The method of claim 9, wherein the re-constructed male rotor end face profile and the female rotor end face profile are constructed based on the normal rack method. For the engagement line of the CD: the long side engagement section is modified, wherein the value range of a is 0.9-1.
2. The is 0.
95. For the engagement line of DE and EF: the short side side engagement section is corrected, wherein the value range of a is 0.9-1.
2. The is 1.05.
Citation Information
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