A correction method for multi-arc circulation circle of torque converter

Abstract

The present invention provides a correction method for the multi-arc circulation circle of a torque converter, which discretizes the outer ring streamline into several points and obtains the value of each point P. 1‑i The coordinate values ​​and cross-sectional angles are combined with the one-dimensional beam theory to obtain the coordinate values ​​of the discrete points of the intermediate streamline and the inner ring streamline; the discrete points P of the intermediate streamline are removed. 2‑i The first and last points, according to the remaining arbitrary points P 2‑i And the equation of the perpendicular line between the previous point, according to P 2‑i And the next point to find the equation of the middle perpendicular line, find the coordinates of the intersection point, and then add P 2‑i Find P 2‑i The corresponding corrected cross-sectional angles are respectively 1‑i The cross-sectional angle comparison is not greater than the set value, and the coordinate value of the discrete point after correction is output. If it is greater than the replacement P 1‑i The cross-sectional angle, find the new P 2‑i The coordinate values ​​of the corrected cross-sectional angles are calculated and compared until they are satisfied, and the coordinate values ​​of all the corrected intermediate streamline discrete points are output; the coordinate values ​​of the inner ring streamline discrete points are obtained by the same process; P 1‑i Connect them with smooth closed curves to obtain the modified multi-arc circulation circle of the torque converter.

Description

Technical Field

[0001] The invention relates to the field of hydraulic torque converter circulation circle design, and in particular to a correction method for a multi-arc circulation circle of a hydraulic torque converter. Background Art

[0002] The design of a torque converter's recirculation circle is a crucial step in its development, determining its basic performance range. Based on its shape, the recirculation circle can be categorized into circular, egg-shaped, semi-egg-shaped, and square-shaped. Circular and egg-shaped recirculation circles are the most commonly used in transport and engineering vehicles, while square recirculation circles are more common in trains and locomotives. Small passenger cars use oblate recirculation circles, which are optimized from circular recirculation circles. Circular recirculation circles are further categorized into oblate recirculation circles, where the center streamlines are ellipses or circles, and arc recirculation circles, where the outer streamlines are composed of multiple arc segments.

[0003] Currently, the most widely used streamlined design on transport vehicles is the multi-arc loop. Compared to elliptical or circular streamlines, loops with multiple segments of the same size are more efficient. In the initial design of a multi-arc loop, only the outer ring dimensions are determined. The intermediate and inner streamlines are designed using the coordinates of discrete points and the cross-sectional angle α relative to the arc center. This initial design cannot guarantee that the cross-sectional lines are perpendicular to the designed streamlines, so the coordinates of the inner ring and intermediate streamlines must be corrected.

[0004] Common existing correction methods include graphical methods, derivative correction methods, and circular arc methods. While the circular arc method corrects the inner streamlines, it cannot correct the intermediate streamlines, resulting in significant limitations. The derivative correction method has a simple algorithm and is widely used. However, the corrected cross-sectional angle α requires further correction of the coordinates of key points on the outer ring, which are then used to perform the correction. During the correction of the outer ring of the circular circle, coordinate deviations can easily occur, reducing the accuracy of the circular streamlines. The steps are complex and difficult to program. Furthermore, the derivative correction method converges slowly, often requiring multiple calculations to achieve a high degree of accuracy. While graphical methods for correcting circular streamlines are relatively straightforward and can often be performed multiple times using CAD software, they require a high level of experience and poor repeatability. Automatic correction of the circular circle cannot be achieved through programming, hindering programmatic implementation. Furthermore, current methods often correct the inner streamlines based on the coordinates of the intermediate streamlines, while neglecting the correction of the intermediate streamlines. Summary of the Invention

[0005] In response to the problems existing in the prior art, the present invention provides a correction method for the multi-arc circulation circle of a torque converter, which realizes the correction of the intermediate streamline with high precision and automatically corrects the multi-arc circulation circle through mathematical formula programming.

[0006] The present invention is achieved through the following technical solutions:

[0007] A method for correcting a multi-arc circulation circle of a torque converter comprises the following steps:

[0008] S1, the outer streamline of the multi-arc circulation circle is evenly discretized into several points, and each point P is obtained. 1-i The coordinate values ​​and cross-sectional angle α i , according to P 1-i The coordinate values ​​and cross-sectional angles of P, as well as the one-dimensional beam theory, are obtained. 1-i The corresponding discrete point P on the middle streamline 2-i The coordinate values ​​of the inner streamline and the discrete point P 3-i The coordinate values ​​of the multi-arc circulation circle are as follows: wherein the axial direction of the multi-arc circulation circle is the horizontal direction, the radial direction of the multi-arc circulation circle is the vertical direction, and the center of the multi-arc circulation circle is the origin;

[0009] S2, first remove the discrete point P of the middle streamline 2-i The first point P 2-0 And the last point P 2-K , according to any point P among the remaining points 2-i and P 2-i The previous neighboring point of i-1,i The equation satisfied by P 2-i and P 2-i The next neighboring point of i,i+1 The equation satisfied, then find the middle perpendicular line l i-1,i 、Middle perpendicular line l i,i+1 The intersection point K i (x i ,y i ) coordinate values, according to the intersection point K i (x i ,y i ) coordinate values ​​and P 2-i Coordinate value to find P 2-i The corresponding corrected cross-sectional angles are respectively compared with P 1-i The cross-sectional angles are compared;

[0010] S3, if the result of S2 is less than or equal to the set value, the corrected discrete point coordinate value is output; if it is greater than the set value, the corresponding corrected section angle is replaced by P 1-i The cross-sectional angle of the new P 2-iAccording to the process described in S2, the new corrected section angle is calculated and compared until it is less than or equal to the set value, and the final corrected discrete point coordinate value is output, and the discrete point coordinate values ​​of all corrected intermediate streamlines are output;

[0011] S4, the discrete point P of the middle streamline as described in S2 and S3 2-i The processing process of the inner loop streamline is the discrete point P 3-i Perform the same process and output the coordinate values ​​of all the discrete points of the corrected inner loop streamlines;

[0012] S5, P 1-i , all the discrete points of the corrected intermediate streamlines and inner ring streamlines are connected by smooth closed curves to obtain the corrected multi-arc circulation circle of the torque converter.

[0013] Preferably, S1 first discretizes half of the outer ring streamlines in the horizontal direction of the multi-arc circulation circle into several points uniformly to obtain several discrete point coordinate values, and then proceeds to S4 according to the remaining process of S1 to obtain the discrete point coordinate values ​​of half of the corrected inner ring streamlines and the middle streamlines, and then performs symmetrical operations along the vertical direction to obtain the discrete point coordinate values ​​of the other half of the outer ring streamlines, the discrete point coordinate values ​​of the inner ring streamlines and the middle streamlines, and S5 connects all the discrete point coordinate values ​​of the outer ring streamlines, the discrete point coordinate values ​​of the inner ring streamlines and the middle streamlines with a smooth closed curve to obtain the corrected multi-arc circulation circle of the torque converter.

[0014] Preferably, S1 is used to uniformly discretize the outer streamlines of the multi-arc circulation circle at an arc angle of 0.8° to 1.2° to obtain P 1-i Coordinate values ​​and section angles.

[0015] Preferably, P in S1 1-i Use the following two formulas to find it:

[0016] 0 1Zi =R*sin(α i )+XO;

[0017] 0 1Ri =R*cos(α i )+O R ;

[0018] Among them O 1Zi P 1-i Horizontal coordinate value, R is P 1-i The radius of the arc, O Z P 1-i The horizontal coordinate value of the center of the arc, O 1Ri P 1-i Vertical coordinate value, O R P1-i The vertical coordinate value of the center point of the arc.

[0019] Furthermore, P in S1 2-i Use the following two formulas to find it:

[0020]

[0021] O 2Zi =O 1Zi -(O 1Ri -O 2Ri )*tan(α i );

[0022] Among them O 2Ri P 2-i Vertical coordinate value, F m is the flow area of ​​the multi-arc circulation circle, O 2Zi P 2-i Horizontal coordinate value.

[0023] Furthermore, P in S1 3-i Use the following two formulas to find it:

[0024]

[0025] O 3Zi =O 1Zi -(O 1Ri -O 3Ri )*tan(α i );

[0026] Among them O 3Ri P 3-i Vertical coordinate value, F m is the flow area of ​​the multi-arc circulation circle, O 3Zi P 3-i Horizontal coordinate value.

[0027] Furthermore, the middle vertical line l in S2 i-1,i Satisfies the following equation:

[0028]

[0029] The middle vertical line l i,i+1 Satisfies the following equation:

[0030]

[0031] Furthermore, S2 K i (x i ,y i ) satisfies the following relationship:

[0032]

[0033]

[0034] Furthermore, S2 P 2-i The corresponding corrected cross-sectional angle α′ i Satisfies the following relationship:

[0035]

[0036] Preferably, S2 modifies the cross-sectional angle α′ i Respectively with P 1-i The cross-sectional angle α i The comparison is done as follows:

[0037]

[0038] Compared with the prior art, the present invention has the following beneficial technical effects:

[0039] The present invention provides a correction method for a multi-arc circulation circle of a torque converter. The method first discretizes the outer streamlines uniformly into a plurality of discrete points. Based on the coordinate values ​​of the intermediate streamlines and inner streamlines according to one-dimensional beam flow theory, a new cross-sectional angle is determined by removing the coordinate values ​​of any point and adjacent points of the intermediate streamlines and the first and last points of the inner streamlines. The new cross-sectional angle is used to further correct the intermediate streamlines and the inner streamlines until the accuracy reaches a set value. The discrete points of the outer streamlines, all corrected intermediate streamlines, and all corrected discrete points of the inner streamlines are connected by a smooth closed curve to obtain the corrected multi-arc circulation circle of the torque converter. The method corrects the multi-arc circulation circle using mathematical formulas and can be fully programmed using software such as Matlab. Multiple corrections are performed simultaneously on the intermediate streamlines and the inner streamlines based on the coordinate values ​​of the initially determined outer streamlines, without re-selecting points on the outer streamlines, resulting in high accuracy. The existing derivative correction method converges slowly and often requires multiple calculations to obtain a relatively high correction accuracy. However, the present invention can control the cross-sectional angle error within 1% through 4-6 corrections, and has a fast convergence speed. BRIEF DESCRIPTION OF THE DRAWINGS

[0040] Figure 1 A flow chart of the method of the present invention;

[0041] Figure 2 This is the parameter diagram of the three-segment circular arc outer ring streamlines of the present invention;

[0042] Figure 3 The coordinate diagram of the discrete points of the three-segment circular arc outer ring streamlines of the present invention;

[0043] Figure 4is the geometric composition of the coordinates of the discrete points of the intermediate streamline of the present invention;

[0044] Figure 5 is a graph showing the relationship between the number of iterations and the error in the embodiment of the present invention;

[0045] Figure 6 This is a distribution diagram of the angular error of the circular cross section after six iterations of correction in the embodiment of the present invention;

[0046] Figure 7 This is a comparison diagram of the cycle circle after 6 iterations of correction in the embodiment of the present invention and the cycle circle diagram before correction. DETAILED DESCRIPTION

[0047] The present invention will be further described in detail below with reference to specific embodiments, which are intended to explain the present invention rather than to limit it.

[0048] The multi-arc circulation circle design is generally aimed at two-segment arc circulation circles and three-segment arc circulation circles. The present invention takes the three-segment arc circulation circle design as an example. Figure 1 The specific steps of the correction method of the multi-arc circulation circle of the torque converter are introduced in detail:

[0049] Step 1: Determine the basic parameters of the circulation circle according to the target performance and size. The basic parameters of the circulation circle are the major diameter D, the minor diameter d, and the width B of the circulation circle.

[0050] Step 2: According to the basic parameters of the circular circle, the outer streamlines corresponding to the three arc circular circles are obtained, such as Figure 2 The major diameter D of the circulation circle is twice the distance from the top point of the first arc a to the origin. The minor diameter d of the circulation circle is twice the distance from the bottom point of the third arc c to the origin. The width B of the circulation circle is the largest diameter of the circle formed by the axial section of the circulation circle formed by the three arcs. Follow the steps below to calculate the radius, center coordinates, and radian corresponding to the outer ring streamline.

[0051] Step S201, calculating the radius and center coordinates of three arc segments, where the center coordinates include the axial value in the Z (horizontal) direction and the radial radius value in the R (vertical) direction;

[0052] Part 1: For a three-segment circular arc, the radius values ​​of the first and third arcs of its outer ring streamline satisfy the following basic empirical formula.

[0053]

[0054]

[0055] Where R1 and R3 are the radii of the first and third arc segments respectively. Figure 2 ;

[0056] The centers of the first and third arcs are located on the vertical symmetry line passing through the center of the loop circle, that is,

[0057] O Z1 =O Z3 =0 (3)

[0058] Where, O Z1 , O Z3 They are the axial values ​​of the centers of the first and third arc segments respectively;

[0059] The radial radius value can be based on Figure 2 The geometrical relations shown give:

[0060]

[0061]

[0062] Where, O R1 , O R3 These are the radial radius values ​​of the first and third arc segments respectively; so far, the center coordinate values ​​and radii of the first and third arc segments have been determined.

[0063] Part 2: Calculate the radius and center coordinates of the second arc.

[0064] First, determine the width of the three-segment arc cycle. In the one-dimensional beam theory, the calculation method for the cycle circle width B is:

[0065]

[0066] The B value obtained here is very different from the B value determined in step 1 and can be used interchangeably. To obtain the center coordinates and radius of the second arc, first calculate the center angle θ of the third arc. C ;

[0067]

[0068] Where, δ is the empirical coefficient of the width of the third arc, which is 4;

[0069] Then according to Figure 2 From the geometric relationship in the figure, we can conclude that the radius R2 of the center of the second arc is

[0070]

[0071] Then we can get the coordinates of the center of the second arc.

[0072] O R2 =O R3-(R3-R2)*cos(θ c ) (9)

[0073] O Z2 =(R3-R2)*sin(θ c ) (10)

[0074] Where, O R2 , O Z2 are respectively the radial radius value in the R direction and the axial value in the Z direction of the second arc, and the coordinate value of point C can be calculated.

[0075] R C =O R3 -R3*cos(θ C ) (11)

[0076] Z C =R3*sin(θ C ) (12)

[0077] Step S202, calculate the corresponding radians of the three arcs; set the radians corresponding to the three arcs to be α1, α2, and α3, and it is obvious that α3 = θ C , according to trigonometric functions, we can get

[0078]

[0079] α1=π-α2-α3 (14)

[0080] According to the above method, Table 1 shows the center coordinates and radius values ​​of three arcs in the outer ring streamline of the circulating circle designed in a specific embodiment of the present invention.

[0081] Table 1 Basic parameters of the three-segment arc outer ring streamline

[0082]

[0083] The two arc loop circles can obtain the corresponding center coordinates and radius values ​​according to existing standards.

[0084] Step 3: Discretize the outer streamlines of the three circular arcs with different radii into K points and record P 1i The coordinate values ​​and cross-sectional angle αi are shown in Figure 3 ;

[0085] According to the arc angle of 0.8° to 1.2°, the three arc segments are divided into several points. According to the axial symmetry of the circular circle, only the half of the circular circle on the right side of the R axis can be focused on. For the above embodiment, the outer ring streamline of the circular circle is divided according to the arc angle of 1°. The 180° circular circle can be divided into 181 points, numbered 0-180. In this way, the points numbered 0-82 belong to the first arc segment, the points numbered 83-150 belong to the second arc segment, and the points numbered 151-180 belong to the third arc segment. i is the angle corresponding to the point, for this point division:

[0086] α i =i

[0087] Where, the value range of i is 0-180;

[0088] The coordinates of the first arc from point 0 to point 82 are calculated using the following formula, where i = 0, 1, 2, ..., 82

[0089] O 1Zi =R1*sin(α i )+O Z1 (15)

[0090] O 1Ri =R1*cos(α i )+O R1 (16)

[0091] Similarly, for the second arc, i = 83-150, its coordinates can be calculated using the following formula:

[0092] O 1Zi =R2*sin(α i )+O Z2 (17)

[0093] O 1Ri =R2*cos(α i )+O R2 (18)

[0094] Similarly, for the third arc, i = 151-180, its coordinates can be calculated using the following formula:

[0095] O 1Zi =R3*sin(α i )+O Z3 (19)

[0096] O 1Ri =R3*cos(α i )+O R3 (20)

[0097] The above results in the calculation of each point P on the three arcs of the outer ring.1-i The coordinate values ​​and corresponding angles are O 1Zi , O 1Ri and α i ;

[0098] Step 4, according to the one-dimensional beam theory, and P 1i Coordinate values ​​and cross-sectional angle α i Calculate the corresponding point P of the middle streamline and the inner ring streamline 2-i 、P 3-i The coordinates of discrete points;

[0099] The corresponding point P of the middle streamline and the inner ring streamline i内环 、P i中间 The steps to solve the discrete point coordinates are:

[0100] Step S401: Each point P 1i The coordinate values ​​and corresponding cross sections are O 1Zi , O 1Ri and α i , then the coordinates of the discrete points on the middle streamline are:

[0101]

[0102] O 2Zi =O 1Zi -(O 1Ri -O 2Ri )*tan(α i ) (twenty two)

[0103] Where, O 2Ri , O 2Zi are the radial radius and axial value of the coordinates of the discrete points on the middle streamline, respectively. m is the flow area of ​​the circulation circle;

[0104] It should be noted that the cross-sectional angle α in formula (21) i According to the criteria of step 6, it can also be the corrected cross-sectional angle α′ mentioned in step 5. i ;

[0105] Step S402: The coordinates of the discrete points of the inner streamline are:

[0106]

[0107] O 3Zi =O 1Zi -(O 1Ri -O 3Ri )*tan(α i ) (twenty four)

[0108] Where, O 3Ri , O3Zi are the radial radius and axial values ​​of the coordinates of the discrete points of the inner ring streamline respectively;

[0109] Step 5, see Figure 4 , select the middle streamline except the first point P 2-0 And the last point P 2-K Any point P 2-i , according to the adjacent point P 2-i-1 、P 2-i+1 The coordinate value of the iterative section angle α′ is determined i ;

[0110] Step S501: Select a point P on the middle streamline 2-i (O 2Zi ,O 2Ri ), and its previous neighbor P 2-i-1 (O 2Zi-1 ,O 2Ri-1 ), find their mid-perpendicular line l i-1,i The equations satisfied are:

[0111]

[0112] Step S502: Select a point P on the middle streamline 2-i (O 2Zi ,O 2Ri ), and its next neighbor P 2-i+1 (O 2Zi+1 ,O 2Ri+1 ), find their mid-perpendicular line l i,i+1 The equations satisfied are:

[0113]

[0114] Step S503, find the middle perpendicular line l i-1,i 、Middle perpendicular line l i,i+1 The intersection point K i (x i ,y i )’s coordinate values;

[0115]

[0116]

[0117] Step S504, then P 2-i (O 2Zi ,O 2Ri ) corresponds to the corrected cross-sectional angle α′ i According to formula (29), we can obtain:

[0118]

[0119] Step S505: According to the above process, the first point P on the middle streamline is removed. 2-0 And the last point P 2-K Obtain the corresponding cross-sectional angle α′ from all points i . Figure 4 For the sake of brevity, the subscript i is not marked.

[0120] In step 5, the correction of the middle streamline and the inner loop streamline is synchronous correction. Steps S501 to S504 only illustrate the correction of the middle streamline. When correcting the inner loop streamline, only the point P of the middle streamline needs to be corrected. 2-i (O 2Zi ,O 2Ri ) is replaced by point P 3-i (O 3Zi ,O 3Ri ), that is, just replace the subscript 2 in steps S501 to S504 with 3. During the iterative correction of the inner and middle streamlines of the circular circle, the coordinate values ​​of the discrete points of the outer streamline remain unchanged, that is, no correction is made to the outer streamline.

[0121] Step 6: Determine all the corrected cross-sectional angles α′ i and the corresponding initial section angle α i Do the following relations all satisfy?

[0122]

[0123] That is, if the corrected cross-sectional angle α′ i If the above relationships are satisfied, proceed to step 7. Otherwise, proceed to equations (21) and (22) in step 4, and repeat the process from step 4 to step 6 for iterative correction to obtain the final discrete point coordinate values ​​of the intermediate streamline and inner ring streamline.

[0124] like Figure 5 As shown, in this embodiment, as the number of iterations increases, the error gradually decreases, and the above-defined error can be achieved after 6 iterations.

[0125] like Figure 6 As shown, after 6 iterations of correction, the intermediate streamline cross-sectional angle of this embodiment is around 120°, forming a normal distribution, with the maximum error close to 0.6%. When the angle is less than 60° or greater than 140°, the error is very small, both below 0.1%.

[0126] like Figure 7As shown in the figure, the outer streamlines were not iteratively corrected. After six iterations of correction, the corresponding lines of the middle streamlines converged inward and almost overlapped with the uncorrected lines, making the middle streamlines appear thicker. After one iteration of correction, the corresponding lines of the inner streamlines converged significantly inward and were clearly distinguishable from the uncorrected lines. After the five subsequent iterations, there was a slight inward convergence, but it was not noticeable.

[0127] Step 7: Output the coordinate value P of the discrete point of the outer ring streamline 1-i (O 1Zi ,O 1Ri ), and the final discrete point coordinates P of the intermediate streamline and inner streamline 2-i (O 2Zi ,O 2Ri ), P 3-i (O 3Zi ,O 3Ri ), perform symmetry operations on these discrete points about the R axis, and obtain the coordinates of the key points of the circular circle on the left side of the vertical symmetry line as P 1-i (-O 1Zi ,O 1Ri ), P 2-i (-O 2Zi ,O 2Ri ), P 3-i (-O 3Zi ,O 3Ri );

[0128] Step 8: Connect the discrete points of the outer ring streamline, the middle streamline, and the inner ring streamline described in Step 6 and Step 7 with smooth closed curves to obtain the corrected circular shape.

[0129] The above is a preferred embodiment of the present invention. It should be pointed out that for ordinary technicians in this technical field, several improvements and modifications can be made without departing from the principles of the present invention. These improvements and modifications are also considered to be within the scope of protection of the present invention.

Claims

1. A method for correcting a multi-arc circulation circle of a torque converter, characterized in that: The following steps are involved: S1, the outer ring streamline of the multi-arc circulation circle is evenly discretized into several points, and each point P is obtained. 1-i The coordinate values ​​and cross-sectional angle α i , according to P 1-i The coordinate values ​​and cross-sectional angles of P, as well as the one-dimensional beam theory, are obtained. 1-i The corresponding discrete point P on the middle streamline 2-i The coordinate values ​​of the inner streamline and the discrete point P 3-i The coordinate values ​​of the multi-arc circulation circle are as follows: wherein the axial direction of the multi-arc circulation circle is the horizontal direction, the radial direction of the multi-arc circulation circle is the vertical direction, and the center of the multi-arc circulation circle is the origin; S2, first remove the discrete point P of the middle streamline 2-i The first point P 2-0 And the last point P 2-K , according to any point P among the remaining points 2-i and P 2-i The previous neighboring point of i-1,i The equation satisfied by P 2-i and P 2-i The next neighboring point of i,i+1 The equation satisfied, then find the middle perpendicular line l i-1,i 、Middle perpendicular line l i,i+1 The intersection point K i (x i ,y i ) coordinate values, according to the intersection point K i (x i ,y i ) coordinate values ​​and P 2-i Coordinate value to find P 2-i The corresponding corrected cross-sectional angles are respectively compared with P 1-i The cross-sectional angles are compared; S3, if the result of S2 is less than or equal to the set value, the corrected discrete point coordinate value is output; if it is greater than the set value, the corresponding corrected section angle is replaced by P 1-i The cross-sectional angle of the new P 2-i According to the process described in S2, the new corrected section angle is calculated and compared until it is less than or equal to the set value, and the final corrected discrete point coordinate value is output, and the discrete point coordinate values ​​of all corrected intermediate streamlines are output; S4, the discrete point P of the middle streamline as described in S2 and S3 2-i The processing process of the inner loop streamline discrete point P 3-i Perform the same process and output the coordinate values ​​of all the discrete points of the corrected inner loop streamlines; S5, P 1-i , all the discrete points of the corrected intermediate streamlines and inner ring streamlines are connected by smooth closed curves to obtain the corrected multi-arc circulation circle of the torque converter.

2. The method for correcting the multi-arc circulation circle of a torque converter according to claim 1, characterized in that: S1 first discretizes half of the outer streamlines in the horizontal direction of the multi-arc circulation circle into several points uniformly to obtain several discrete point coordinate values, and then proceeds to S4 according to the remaining process of S1 to obtain the discrete point coordinate values ​​of half of the corrected inner streamlines and the middle streamlines. Then, a symmetrical operation is performed along the vertical direction to obtain the discrete point coordinate values ​​of the other half of the outer streamlines and the discrete point coordinate values ​​of the inner streamlines and the middle streamlines. S5 connects all the discrete point coordinate values ​​of the outer streamlines and the discrete point coordinate values ​​of the inner streamlines and the middle streamlines with a smooth closed curve to obtain the corrected multi-arc circulation circle of the torque converter.

3. The method for correcting the multi-arc circulation circle of a torque converter according to claim 1, characterized in that: S1 is used to evenly discretize the outer streamlines of the multi-arc circulation circle at an angle of 0.8° to 1.2° to obtain P 1-i Coordinate values ​​and section angles.

4. The method for correcting the multi-arc circulation circle of a torque converter according to claim 1, characterized in that: P in S1 1-i Use the following two formulas to find it: The 1Zi =R*sin(α i )+O Z ; The 1Ri =R*cos(α i )+O R ; Among them O 1Zi P 1-i Horizontal coordinate value, R is P 1-i The radius of the arc, O Z P 1-i The horizontal coordinate value of the center of the arc, O 1Ri P 1-i Vertical coordinate value, O R P 1-i The vertical coordinate value of the center point of the arc.

5. The method for correcting the multi-arc circulation circle of a torque converter according to claim 4, characterized in that: P in S1 2-i Use the following two formulas to find it: The 2Zi =O 1Zi -(O 1Ri -O 2Ri )*tan(a i ); Among them O 2Ri P 2-i Vertical coordinate value, F m is the flow area of ​​the multi-arc circulation circle, O 2Zi P 2-i Horizontal coordinate value.

6. The method for correcting the multi-arc circulation circle of a torque converter according to claim 4, characterized in that: P in S1 3-i Use the following two formulas to find it: The 3Zi =O 1Zi -(O 1Ri -O 3Ri )*tan(a i ); Among them O 3Ri P 3-i Vertical coordinate value, F m is the flow area of ​​the multi-arc circulation circle, O 3Zi P 3-i Horizontal coordinate value.

7. The method for correcting the multi-arc circulation circle of a torque converter according to claim 5, characterized in that: The middle vertical line l in S2 i-1,i Satisfies the following equation: The middle vertical line l i,i+1 Satisfies the following equation:

8. The method for correcting the multi-arc circulation circle of a torque converter according to claim 7, characterized in that: S2 K i (x i ,y i ) satisfies the following relationship:

9. The method for correcting the multi-arc circulation circle of a torque converter according to claim 8, characterized in that: S2 P 2-i The corresponding corrected cross-sectional angle α′ i Satisfies the following relationship:

10. The method for correcting a multi-arc circulation circle of a torque converter according to claim 1, characterized in that: S2 will correct the cross-sectional angle α′ i Respectively with P 1-i The cross-sectional angle α i The comparison is done as follows:

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