Method for measuring angular offset of coupler

Abstract

The invention discloses a method for measuring the angular offset of a coupling, and the method comprises the following steps: measuring the diameter D1 of the outer circular surface of a driven end half coupling flange and the diameter D2 of the outer cylindrical circular surface of a driven end half coupling, and selecting a plurality of to-be-measured surfaces on the outer circumferential surface of the driven end half coupling; measuring values of a highest point and a lowest point of a to-be-measured surface on the outer circumference of the driven end half coupling by taking the outer circular surface of the driving end half coupling as a reference, and calculating a difference value between the highest point and the lowest point; drawing a three-dimensional model according to the data, and then calculating to obtain a deflection angle alpha of the maximum flange surface of the driven end half coupling; according to the deflection angle alpha of the maximum flange surface of the driven end half coupling, obtaining the angular offset of the flange surface of the driven end half coupling under the to-be-measured surface; and calculating angular offsets corresponding to other surfaces to be measured, wherein the maximum angular offset is the angular offset of the coupling to be measured. According to the invention, the angular offset can be conveniently and directly measured and calculated.

Description

Technical Field

[0001] The invention relates to an improvement in a measurement technology of an angular offset of a coupling, belongs to the field of mechanical processing measurement, and in particular to a measurement method of an angular offset of a coupling. Background Art

[0002] Couplings are generally divided into rigid couplings and flexible couplings. When assembling, the flexible coupling is fixed to the shaft ends of the driving shaft and the driven shaft respectively with keys or tight fits. During the assembly process, the centering offset (radial displacement and angular displacement) of the two coupling halves must be accurately measured and adjusted to ensure that it is controlled within the corresponding allowable value range. However, after the two coupling halves are assembled, the gap between the two coupling halves is very small, and the angular displacement cannot be directly detected by measuring tools, resulting in the inability to measure and adjust the centering offset according to actual production.

[0003] A Chinese patent application with application number DE102018113762.1 and application date June 8, 2018 discloses a method for measuring the angular displacement of a coupling, wherein the position of an intermediate piece arranged between a first external connecting flange and a second external connecting flange and transmitting force from the first external connecting flange to the second external connecting flange and at least one flange extension of one of the external connecting flanges is detected and formed in the area of ​​the intermediate piece, wherein the relationship between the intermediate piece and the flange extension is determined according to the position of the intermediate piece and the flange extension, and wherein the angular offset of the intermediate piece and the flange extension can be determined based on alignment, wherein the alignment of the intermediate piece and the flange extension are determined by determining the difference between the position value recorded by the intermediate piece and the position of the recorded flange extension value, characterized in that the position of the intermediate piece and the flange extension is determined by the distance between them and at least one sensor of the position detection unit, and the intermediate piece and the flange extension are guided through the distance, but the above scheme does not solve the problem that the angular displacement cannot be directly detected by a measuring tool.

[0004] The information disclosed in this background technology section is only intended to increase the understanding of the overall background of this patent application, and should not be regarded as acknowledging or suggesting in any form that the information constitutes the prior art already known to ordinary technicians in this field. Summary of the invention

[0005] The purpose of the present invention is to overcome the problem in the prior art that the angular displacement cannot be directly detected by a measuring tool, and to provide a method for measuring the angular displacement of a coupling which is convenient for direct measurement and obtains the angular displacement by calculation.

[0006] To achieve the above purpose, the technical solution of the present invention is: a method for measuring the angular offset of a coupling, wherein the coupling comprises a driving end half coupling and a driven end half coupling, and the method for measuring the angular offset of the coupling comprises the following steps: The first step is to use the cross section of the outer circumference of the driving half coupling as the reference plane, and then select multiple measurement surfaces on the outer circumference of the driven half coupling to measure the distance H1 between the highest point J1 of one of the measurement surfaces on the outer circumference of the driven half coupling and the reference plane O, and the distance H2 between the lowest point J11 and the reference plane O, and calculate the difference between the highest point and the lowest point; Step 2: Measure the diameter D1 of the outer surface of the driven half coupling flange and the diameter D2 of the outer cylindrical surface of the driven half coupling; Step 3: Draw a three-dimensional model based on the values ​​of D1, D2, the highest point and the lowest point, and then calculate the deflection angle α of the maximum flange surface of the driven end half coupling based on the three-dimensional model; Step 4: According to the deflection angle α of the maximum flange surface of the driven end half coupling, the angular offset of the flange surface of the driven end half coupling under the test surface is calculated; Step 5. Calculate the angular offsets corresponding to other surfaces to be measured according to the above steps, compare all the angular offsets, and the largest angular offset is the angular offset of the coupling to be measured.

[0007] In the first step, selecting a plurality of measuring surfaces on the outer circumference of the driven end half coupling specifically refers to selecting a plurality of measuring surfaces on the outer circumference of the driven end half coupling in equal parts along the generatrix direction.

[0008] The multiple measuring surfaces are preferably three, specifically: The center dividing surface on the outer circumference of the driven end half coupling in the generatrix direction is the first measuring surface; The section near the driven end half coupling flange is the second measuring surface; The section away from the end of the driven half coupling flange is the third measuring plane.

[0009] In the first step, the distance H1 between the highest point J1 of one of the surfaces to be measured on the outer circumference of the driven end half coupling and the reference plane O and the distance H2 between the lowest point J11 and the reference plane O are measured, including the following steps: A. Install the passive half coupling onto the driven shaft; B. The testing instrument is fixed on the outer cylindrical surface of the driving end half coupling. After the dial indicator is adjusted to zero, the probe is pressed against the outer cylindrical surface of the driven end half coupling without gap; C. Rotate the driven end half coupling along the rotation centerline for one turn, and record the highest and lowest points of the dial indicator during the one turn process; D. Measure the reading S1 corresponding to the highest point A on the measuring surface, and measure the reading S2 corresponding to the lowest point B on the measuring surface.

[0010] In the first step, the difference between the highest point and the lowest point is calculated as follows: △H A =S1-S2.

[0011] The distance from the highest point A on the measuring surface to the center line of rotation is H1, and the distance from the lowest point B on the measuring surface to the center line of rotation is H2. The difference between H2 and H1 is: △H B =H2-H1.

[0012] The difference between the measured values ​​corresponding to the highest point and the lowest point: △H A =S1- S2; the difference between H2 and H1 is △H B =H2-H1; we can get: △H=△H A =△H B .

[0013] The detection instrument is a dial indicator.

[0014] The deflection angle α of the maximum flange surface of the driven end half coupling calculated according to the three-dimensional model is specifically: The axial distance from the measuring point to the flange surface of the driven half coupling is L. Based on the rotation centerline, the inclination angle of the maximum flange surface of the driven half coupling can be obtained by the following formula according to the geometric relationship between the parameters L, D2, α, △H, H2 and H1; H2=D2*cosα+L*sinα+D2*sinα*tgα; H1=D2*cosα- L*sinα; At this time, △H=△H A =△H B =D2*tgα*sinα+2*L*sinα.

[0015] The angular offset T of the flange surface of the driven end half coupling is calculated based on the deflection angle α of the maximum flange surface of the driven end half coupling as follows: According to the geometric relationship between the angular offset T, the flange surface diameter D1 of the driven end half coupling and the deflection angle α of the flange surface, the following formula can be obtained: T = D1*sinα; Where D1 is the flange diameter of the driven half coupling.

[0016] Compared with the prior art, the present invention has the following beneficial effects: 1. In a method for measuring the angular offset of a coupling of the present invention, a plurality of measuring surfaces are equally selected along the generatrix direction on the outer circumference of the driven end half coupling of the flexible coupling, and the outer circumferential surface of the driving end half coupling is used as a reference to detect the difference between the highest point and the lowest point on the plurality of measuring surfaces on the driven end half coupling one by one. The sampling method of multiple measuring surfaces can obtain the angular offset information of the coupling more comprehensively. Since the angular offset of the flexible coupling in actual work may be different at different positions, the method of multiple measuring surfaces can cover more possibilities, reduce the risk of measurement error caused by local special circumstances, thereby improving the accuracy of the measurement results, and then use mathematical modeling and calculation to obtain the multiple measuring surfaces of the grade coupling one by one. The corresponding angular offset is an accurate value. This relative difference measurement method has high stability. It is not affected by the slight fluctuation of the absolute position of the measurement reference itself, and can more accurately reflect the angular offset of each measuring surface. Then, the angular offset of each measuring surface is obtained through mathematical modeling and calculation, which further ensures the accuracy of the result. The largest value of the multiple angular offsets is selected as the angular offset of the coupling to be measured. The maximum value of the angular offset can better represent the overall offset of the coupling, avoiding the wrong judgment of the working state of the coupling due to the selection of inappropriate values, realizing the accurate measurement of the angular displacement of the flexible coupling, and solving the problem that the angular displacement of the flexible coupling cannot be directly detected by a measuring tool. Therefore, the present invention is convenient for directly measuring and obtaining the angular offset by calculation.

[0017] 2. In a method for measuring the angular displacement of a coupling of the present invention, the difference between the highest and lowest points of multiple measuring surfaces is measured by indirect relative measurement and subsequent mathematical calculation, so as to achieve accurate measurement of the angular displacement of the flexible coupling, meet the demand for accurate measurement and adjustment of the angular displacement of the flexible coupling during assembly, help improve the assembly quality of the flexible coupling, and further ensure its normal operation in the transmission system and extend its service life. Therefore, the present invention ensures assembly accuracy and extends service life.

[0018] 3. In the method for measuring the angular offset of a coupling of the present invention, the method has strong operability in engineering practice. It does not require special and complex measuring equipment. It only takes the outer cylindrical surface of the active end half coupling as the reference and uses conventional measuring tools to measure the difference between the highest point and the lowest point. It is easy for engineering and technical personnel to master and implement. In addition, since there is no need to purchase expensive special measuring equipment, the measurement can be achieved using existing conventional measuring tools, which reduces the measurement cost. Therefore, the present invention is simple to measure and has low cost. BRIEF DESCRIPTION OF THE DRAWINGS

[0019] Figure 1 It is a measurement schematic diagram of the present invention.

[0020] Figure 2 It is a schematic diagram of the positions of three measuring surfaces in the present invention.

[0021] Figure 3 It is a top view of the geometric relationship diagram among the measurement-related parameters H2, L, D2 and α in the present invention.

[0022] Figure 4 It is a geometric relationship diagram among the measurement related parameters H1, L, D2 and α in the present invention.

[0023] Figure 5 It is a geometric relationship diagram between the measurement related parameters T and α in the present invention. DETAILED DESCRIPTION

[0024] The present invention is further described in detail below in conjunction with the accompanying drawings and specific implementation methods.

[0025] See also Figures 1 to 5 A method for measuring the angular offset of a coupling, wherein the coupling comprises a driving end half coupling and a driven end half coupling, and the method for measuring the angular offset of the coupling comprises the following steps: The first step is to measure the diameter D1 of the outer circumferential surface of the driven half coupling flange and the diameter D2 of the outer cylindrical surface of the driven half coupling, and then select multiple measuring surfaces on the outer circumferential surface of the driven half coupling; Step 2: Using the cross section of the outer circumference of the driving half coupling as the reference plane, measure the highest point of one of the surfaces to be measured on the outer circumference of the driven half coupling and the reference plane value, as well as the lowest point and the reference plane value, and calculate the difference between the highest point and the lowest point; Step 3: Draw a three-dimensional model based on the values ​​of D1, D2, the highest point and the lowest point, and then calculate the deflection angle α of the maximum flange surface of the driven end half coupling based on the three-dimensional model; Step 4: According to the deflection angle α of the maximum flange surface of the driven end half coupling, the angular offset of the flange surface of the driven end half coupling under the test surface is calculated; Step 5. Calculate the angular offsets corresponding to other surfaces to be measured according to the above steps, compare all the angular offsets, and the largest angular offset is the angular offset of the coupling to be measured.

[0026] In the first step, selecting a plurality of measuring surfaces on the outer circumference of the driven end half coupling specifically refers to selecting a plurality of measuring surfaces on the outer circumference of the driven end half coupling in equal parts along the generatrix direction.

[0027] The multiple measuring surfaces are preferably three, specifically: The center dividing surface on the outer circumference of the driven end half coupling in the generatrix direction is the first measuring surface; The section near the driven end half coupling flange is the second measuring surface; The section away from the end of the driven half coupling flange is the third measuring plane.

[0028] In the first step, the distance H1 between the highest point J1 of one of the surfaces to be measured on the outer circumference of the driven end half coupling and the reference plane O and the distance H2 between the lowest point J11 and the reference plane O are measured, including the following steps: A. Install the passive half coupling onto the driven shaft; B. The testing instrument is fixed on the outer cylindrical surface of the driving end half coupling. After the dial indicator is adjusted to zero, the probe is pressed against the outer cylindrical surface of the driven end half coupling without gap; C. Rotate the driven end half coupling along the rotation centerline for one turn, and record the highest and lowest points of the dial indicator during the one turn process; D. Measure the reading S1 corresponding to the highest point A on the measuring surface, and measure the reading S2 corresponding to the lowest point B on the measuring surface.

[0029] In the first step, the difference between the highest point and the lowest point is calculated as follows: △H A =S1-S2.

[0030] The distance from the highest point A on the measuring surface to the center line of rotation is H1, and the distance from the lowest point B on the measuring surface to the center line of rotation is H2. The difference between H2 and H1 is: △H B =H2-H1.

[0031] The difference between the measured values ​​corresponding to the highest point and the lowest point: △H A = S1- S2; the difference between H2 and H1 is △H B =H2-H1; we can get: △H=△H A =△H B .

[0032] The detection instrument is a dial indicator.

[0033] The deflection angle α of the maximum flange surface of the driven end half coupling calculated according to the three-dimensional model is specifically: The axial distance from the measuring point to the flange surface of the driven half coupling is L. Based on the rotation centerline, the inclination angle of the maximum flange surface of the driven half coupling can be obtained by the following formula according to the geometric relationship between the parameters L, D2, α, △H, H2 and H1; H2=D2*cosα+L*sinα+D2*sinα*tgα; H1=D2*cosα- L*sinα; At this time, △H=△H A = HB =D2*tgα*sinα+2*L*sinα.

[0034] The angular offset T of the flange surface of the driven end half coupling is calculated based on the deflection angle α of the maximum flange surface of the driven end half coupling as follows: According to the geometric relationship between the angular offset T, the flange surface diameter D1 of the driven end half coupling and the deflection angle α of the flange surface, the following formula can be obtained: T = D1*sinα; Where D1 is the flange diameter of the driven half coupling.

[0035] The supplementary description of the present invention is as follows: By directly selecting a measuring surface on the outer circumference of the driven end half coupling and measuring with the driving end as the reference, data related to angular offset can be intuitively obtained. Since the angular offset of the coupling will eventually be reflected in the position change of the driven end relative to the driving end in the circumferential direction, by measuring the highest and lowest points on the circumference, data can be directly collected for the external manifestation of the angular offset.

[0036] Embodiment 1: A method for measuring the angular offset of a coupling, wherein the coupling comprises a driving end half coupling and a driven end half coupling, and the method for measuring the angular offset of the coupling comprises the following steps: The first step is to use the cross section of the outer circumference of the driving half coupling as the reference plane, and then select multiple measurement surfaces on the outer circumference of the driven half coupling to measure the distance H1 between the highest point J1 of one of the measurement surfaces on the outer circumference of the driven half coupling and the reference plane O, and the distance H2 between the lowest point J11 and the reference plane O, and calculate the difference between the highest point and the lowest point; Step 2: Measure the diameter D1 of the outer surface of the driven half coupling flange and the diameter D2 of the outer cylindrical surface of the driven half coupling; Step 3: Draw a three-dimensional model based on the values ​​of D1, D2, the highest point and the lowest point, and then calculate the deflection angle α of the maximum flange surface of the driven end half coupling based on the three-dimensional model; Step 4: According to the deflection angle α of the maximum flange surface of the driven end half coupling, the angular offset of the flange surface of the driven end half coupling under the test surface is calculated; Step 5. Calculate the angular offsets corresponding to other surfaces to be measured according to the above steps, compare all the angular offsets, and the largest angular offset is the angular offset of the coupling to be measured.

[0037] Embodiment 2: Embodiment 2 is substantially the same as Embodiment 1, except that: Selecting the measuring surface on the outer circumference of the driven end half coupling means selecting multiple measuring surfaces equally along the generatrix direction on the outer circumference of the driven end half coupling, and preferably selecting three measuring surfaces; Figure 2 As shown, three measuring surfaces are equally selected along the generatrix direction on the outer circumference of the driven end half coupling, and the center dividing surface J1J1 located on the generatrix direction on the outer circumference of the driven end half coupling is preferably the first measuring surface; the section J2J2 close to the driven end half coupling flange is the second measuring surface; and the section J3J3 away from the end of the driven end half coupling flange is the third measuring surface.

[0038] When applying: It is relatively simple to select the outer circumference as the measuring surface and to use the outer circumference of the active end as the reference for measurement. It does not require complex auxiliary devices or special measuring environments. Only suitable measuring tools are needed for measurement.

[0039] Embodiment 3: Embodiment 3 is substantially the same as Embodiment 1, except that: Taking the outer cylindrical surface of the driving end half coupling as a reference, measuring the values ​​of the highest point and the lowest point of one of the surfaces to be measured on the outer circumference of the driven end half coupling includes the following steps: A. Install the passive half coupling onto the driven shaft; B. Fix the dial indicator on the outer circumference of the driving half coupling, adjust the dial indicator to zero, and press the probe against the outer circumference of the driven half coupling without any gap; Before installing the passive half coupling to the driven shaft, clean the mounting surfaces of the driven shaft and half coupling to remove oil, dust and impurities, and check whether the mounting surfaces are damaged, such as scratches, bumps, etc. If there is any damage, repair or replace it; C. Rotate the driven end half coupling along the rotation centerline for one turn, and record the highest and lowest points of the dial indicator during the one turn process; After recording the highest and lowest points, repeat the steps at least three times. Each time you measure, you must accurately record the highest and lowest points of the dial indicator during one rotation, and then take the average of the highest and lowest points obtained from multiple measurements to reduce random errors in the measurement process. D. Measure the reading S1 corresponding to the highest point A on the measuring surface, and measure the reading S2 corresponding to the lowest point B on the measuring surface.

[0040] The operation process facilitates quality control during the production process. If the measurement results are abnormal, they can be traced back based on the detailed operation records to find possible links where problems may occur, such as whether there are deviations during the installation process or whether there are any illegal operations during the measurement process. The difference between the highest point and the lowest point is calculated as: △HA =S1-S2.

[0041] The distance from the highest point A on the measuring surface to the center line of rotation is H1, and the distance from the lowest point B on the measuring surface to the center line of rotation is H2. The difference between H2 and H1 is: △H B =H2-H1.

[0042] The difference between the measured values ​​corresponding to the highest point and the lowest point: △H A =S1- S2; the difference between H2 and H1 is △H B =H2-H1; we can get: △H=△H A =△H B .

[0043] DE=L*sinα; EF=D2 / 2*cosα; MN=D2*sinα*tgα; H2=DE+EF+MN=D2 / 2*cosα+L*sinα+D2*sinα*tgα; DE=L*sinα; EP=D2 / 2*cosα; H1=EP-DE=D2 / 2*cosα-L*sinα.

[0044] Embodiment 4: Embodiment 4 is substantially the same as Embodiment 1, except that: like Figure 4 As shown, the deflection angle α of the maximum flange surface of the driven end half coupling calculated according to the three-dimensional model is specifically: the axial distance from the measuring point to the flange surface of the driven end half coupling is L, and the inclination angle of the maximum flange surface of the driven end half coupling is based on the rotation centerline. According to the geometric relationship between the parameters L, D2, α, △H, H2 and H1, the following formula can be obtained; H2=D2*cosα+L*sinα+D2*sinα*tgα; H1=D2*cosα- L*sinα; At this time, △H=△H A =△H B =D2*tgα*sinα+2*L*sinα.

[0045] The angular offset T of the flange surface of the driven end half coupling is calculated based on the deviation angle α of the maximum flange surface of the driven end half coupling as follows: According to the geometric relationship between the angular offset T, the flange surface diameter D1 of the driven end half coupling and the deviation angle α of the flange surface, the following formula can be obtained: T=D1*sinα; wherein D1 is the flange surface diameter of the driven end half coupling.

[0046] The above description is only a preferred embodiment of the present invention, and the protection scope of the present invention is not limited to the above embodiment. Any equivalent modifications or changes made by ordinary technicians in this field based on the contents disclosed by the present invention should be included in the protection scope recorded in the claims.

Claims

1. A method for measuring the angular offset of a coupling, wherein the coupling comprises a driving half coupling and a driven half coupling, characterized in that: The method for measuring the angular offset of the coupling comprises the following steps: The first step is to use the cross section of the outer circumference of the driving half coupling as the reference plane, and then select multiple measurement surfaces on the outer circumference of the driven half coupling to measure the distance H1 between the highest point J1 of one of the measurement surfaces on the outer circumference of the driven half coupling and the reference plane O, and the distance H2 between the lowest point J11 and the reference plane O, and calculate the difference between the highest point and the lowest point; Step 2: Measure the diameter D1 of the outer surface of the driven half coupling flange and the diameter D2 of the outer cylindrical surface of the driven half coupling; Step 3: Draw a three-dimensional model based on the values ​​of D1, D2, the highest point and the lowest point, and then calculate the deflection angle α of the maximum flange surface of the driven end half coupling based on the three-dimensional model; Step 4: According to the deflection angle α of the maximum flange surface of the driven end half coupling, the angular offset of the flange surface of the driven end half coupling under the test surface is calculated; Step 5. Calculate the angular offsets corresponding to other surfaces to be measured according to the above steps, compare all the angular offsets, and the largest angular offset is the angular offset of the coupling to be measured.

2. The method for measuring the angular offset of a coupling according to claim 1, characterized in that: In the first step, selecting a plurality of measuring surfaces on the outer circumference of the driven end half coupling specifically refers to selecting a plurality of measuring surfaces on the outer circumference of the driven end half coupling in equal parts along the generatrix direction.

3. A method for measuring the angular offset of a coupling according to claim 2, characterized in that: The multiple measuring surfaces are preferably three, specifically: The center dividing surface on the outer circumference of the driven end half coupling in the generatrix direction is the first measuring surface; The section near the driven end half coupling flange is the second measuring surface; The section away from the end of the driven half coupling flange is the third measuring plane.

4. The method for measuring the angular offset of a coupling according to claim 1, characterized in that: In the first step, the distance H1 between the highest point J1 of one of the surfaces to be measured on the outer circumference of the driven end half coupling and the reference plane O and the distance H2 between the lowest point J11 and the reference plane O are measured, including the following steps: A. Install the passive half coupling onto the driven shaft; B. The testing instrument is fixed on the outer cylindrical surface of the driving end half coupling. After the dial indicator is adjusted to zero, the probe is pressed against the outer cylindrical surface of the driven end half coupling without gap; C. Rotate the driven end half coupling along the rotation centerline for one turn, and record the highest and lowest points of the dial indicator during the one turn process; D. Measure the reading S1 corresponding to the highest point A on the measuring surface, and measure the reading S2 corresponding to the lowest point B on the measuring surface.

5. A method for measuring the angular offset of a coupling according to claim 4, characterized in that: In the first step, the difference between the highest point and the lowest point is calculated as follows: <h2 style=";text-align:left;direction:ltr">△H<h2 style=";text-align:left;direction:ltr"> A <h2 style=";text-align:left;direction:ltr"> =S1-S2.

6. A method for measuring the angular offset of a coupling according to claim 5, characterized in that: The distance from the highest point A on the measuring surface to the center line of rotation is H1, and the distance from the lowest point B on the measuring surface to the center line of rotation is H2. The difference between H2 and H1 is: △H B =H2-H1。 7. A method for measuring the angular offset of a coupling according to claim 6, characterized in that: The difference between the measured values ​​corresponding to the highest point and the lowest point: △H A =S1- S2; the difference between H2 and H1 is △H B =H2-H1; we can get: △H=△H A =△H B .

8. A method for measuring the angular offset of a coupling according to claim 7, characterized in that: The detection instrument is a dial indicator.

9. The method for measuring the angular offset of a coupling according to claim 1, characterized in that: The deflection angle α of the maximum flange surface of the driven end half coupling calculated according to the three-dimensional model is specifically: The axial distance from the measuring point to the flange surface of the driven half coupling is L. Based on the rotation centerline, the inclination angle of the maximum flange surface of the driven half coupling can be obtained by the following formula according to the geometric relationship between the parameters L, D2, α, △H, H2 and H1; H2=D2*cosα+L*sinα+D2*sinα*tgα; H1=D2*cosα- L*sinα; At this time, △H=△H A =△H B =D2*tgα*sinα+2*L*sinα.

10. The method for measuring the angular offset of a coupling according to claim 1, characterized in that: The angular offset T of the flange surface of the driven end half coupling is calculated based on the deflection angle α of the maximum flange surface of the driven end half coupling as follows: According to the geometric relationship between the angular offset T, the flange surface diameter D1 of the driven end half coupling and the deflection angle α of the flange surface, the following formula can be obtained: T = D1*sinα; Where D1 is the flange diameter of the driven half coupling.

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