Wheel tread profile concave grinding test analysis algorithm

Abstract

The invention relates to a wheel tread profile concave grinding test analysis algorithm. The algorithm comprises the following steps: measuring wheel tread profile data; based on the wheel tread profile measuring point sequence obtained through measurement and the reference steel rail profile corresponding point sequence, the overall inclination difference, the abrasion area, the abrasion concentration degree and the conformal degree of the wheel tread profile measuring point sequence and the reference steel rail profile corresponding point sequence are calculated; and for the overall inclination difference, the abrasion area, the abrasion concentration degree and the conformal degree obtained through calculation, the concavity of the profile of the wheel tread is obtained through calculation based on a linear superposition integration algorithm. Compared with the prior art, the concavity calculated by the method is equivalent to the conventional equivalent taper, and the measurement method is simpler and more convenient.

Description

Technical Field

[0001] The invention relates to the technical field of wheel tread profile testing, and in particular to a wheel tread profile concave wear testing and analysis method. Background Art

[0002] Wheel concave wear of railway vehicles will affect the running safety of trains, bring instability, noise and impact to the vehicles, reduce the critical running speed of locomotives and vehicles, and make the vehicle's dynamics, stability and comfort worse. Whether in urban rail transit, low-floor trains or high-speed trains, as passengers' requirements for comfort are getting higher and higher, it is urgent to ensure the stability and smoothness of high-speed trains. The current analysis schemes for wheel tread profile concave wear are based on the measurement and analysis of the equivalent conicity of the wheel tread. The measurement system is too complex and expensive, and the analysis method needs to be further optimized. Summary of the invention

[0003] The purpose of the present invention is to overcome the defects of the above-mentioned prior art and provide a wheel tread profile concave wear test and analysis method.

[0004] The purpose of the present invention can be achieved by the following technical solutions:

[0005] A wheel tread profile concave wear test analysis algorithm, the algorithm flow is as follows:

[0006] Measure wheel tread profile data;

[0007] Based on the measured point sequence of the wheel tread profile and the corresponding point sequence of the reference rail profile, the overall slope difference between the two as well as the wear area, wear concentration and conformality are calculated;

[0008] For the calculated overall slope difference, wear area, wear concentration and conformality, the concavity of the wheel tread profile is calculated based on the linear superposition integration algorithm.

[0009] As a preferred technical solution, the overall slope difference is calculated as follows:

[0010]

[0011] In the formula, y′ 1 ,z′ 1 , y′ n ,z′ n are the starting and ending point coordinates of the actual measurement point sequence of the wheel tread profile; y 1 ,z 1 ,y n ,z n They are the starting and ending point coordinates of the corresponding point sequence of the reference rail profile.

[0012] As a preferred technical solution, the wear area is calculated as follows:

[0013] Align one end of the wheel tread profile measurement point sequence with the same section of the reference rail profile corresponding point sequence by translation;

[0014] The wheel tread profile measurement point sequence is rotated with the alignment point as the axis so that the other end of the wheel tread profile measurement point sequence is aligned with the other end of the reference rail profile corresponding point sequence;

[0015] Calculate the wear area between the translated and rotated wheel tread profile measurement point sequence and the reference rail profile.

[0016] As a preferred technical solution, the wear concentration is calculated as follows:

[0017] First calculate the coordinates of the center of gravity of the wear area (y 0 ,z 0 ), and find rectangles with equal areas;

[0018] Through the center of gravity (y 0 ,z 0 ) to calculate the area inertia about that axis:

[0019]

[0020] In the formula, y′ j ,z′ j represents the coordinates of the jth point; z" is the average wear depth, which is equal to the wear area / width, and the width is y' 5 -y′ 1 .

[0021] As a preferred technical solution, the conformality is calculated as follows:

[0022] The measurement point sequence (y′ i ,z′ i ) and the corresponding point sequence of the reference rail profile (y i ,z i );

[0023] Find the contact point (y 0 ,z 0 ), calculate the point (y 1 ,z 1 ), (y′ 1 ,z′ 1 ) and (y n ,z n ) and (y′ n ,z′ n ) is taken as the conformality between the measuring point and the reference rail profile.

[0024] As a preferred technical solution, the concavity is calculated by using the linear superposition integration algorithm as follows:

[0025] ∪=aA + bB + cC + dD

[0026] In the formula, A, B, C, and D are the overall slope difference, wear area, wear concentration, and conformity respectively; a, b, c, and d are four optimized parameters, which are related to different wheel-rail profiles and vehicle suspension parameters.

[0027] Compared with the prior art, the present invention has the following beneficial effects:

[0028] The method for testing and analyzing concave wear of the wheel tread profile proposed by the present invention calculates the body slope difference, wear area, wear concentration, and conformity between the measurement points of the wheel tread profile and the reference rail profile, and then obtains that the wheel tread concavity is equivalent to the equivalent taper in the past, and the measurement method is simpler, and different worn rail profiles are combined in the evaluation method. Brief Description of the Drawings

[0029] Figure 1 is the flow chart of the algorithm for testing and analyzing concave wear of the wheel tread profile of the present invention;

[0030] Figure 2 is the schematic diagram of the measuring device adopted by the present invention;

[0031] Figure 3 is the schematic diagram of the actual measurement points and the reference profile of the present invention;

[0032] Figure 4 is the schematic diagram of the slope calculation of the actual measurement points of the present invention;

[0033] Figure 5 is the schematic diagram of the result after translation and rotation of the actual measurement points of the present invention;

[0034] Figure 6 is the schematic diagram of the wear area calculation of the present invention;

[0035] Figure 7 is the schematic diagram of the wear concentration calculation of the present invention;

[0036] Figure 8 is the schematic diagram of the reference area for the wear concentration calculation of the present invention;

[0037] Fig. 9 is the schematic diagram of the conformity calculation of the present invention. Detailed Embodiments

[0038] The present invention is described in detail below in conjunction with the accompanying drawings and specific embodiments. This embodiment is implemented based on the technical solution of the present invention, and provides a detailed implementation method and specific operation process, but the protection scope of the present invention is not limited to the following embodiments.

[0039] Example 1

[0040] The present invention proposes a wheel tread profile concave wear test analysis algorithm, such as Figure 1 As shown, the specific steps are as follows:

[0041] Step S1: using Figure 2 The measuring device shown measures n measurement parameters of the wheel tread profile;

[0042] Step S2: Figure 3 The wheel tread profile measurement point sequence obtained by measurement and the reference rail profile corresponding point sequence are used to calculate the overall slope difference between the two as well as the wear area, wear concentration and conformality;

[0043] Step S3: Finally, a linear superposition integration algorithm is used to calculate the wheel tread profile concavity based on the obtained overall slope difference, wear area, wear concentration and conformality.

[0044] Specifically, the overall slope difference is calculated based on the starting point and the ending point of the wheel tread profile measurement point sequence, as follows: Figure 4 As shown, it is calculated by the following formula:

[0045]

[0046] In the formula, y 1 μ ,z 1 ′ ,y n ′ ,z ′ n are the starting and ending point coordinates of the wheel tread profile measurement point sequence; y 1 ,z 1 ,y n ,z n They are the starting and ending point coordinates of the corresponding point sequence of the reference rail profile.

[0047] Before calculating the wear area, the starting point (y′ 1 ,z′ 1 ) and the starting point of the corresponding point sequence of the reference rail profile (y 1 ,z 1 ) and rotate the wheel tread profile measurement point sequence with the starting point as the axis so that the end point (y′n ,z′ n ) and the end point of the corresponding point sequence of the reference rail profile (y n ,z n ) alignment, the results after translation and rotation of the actual measuring point are as follows Figure 5 As shown. Then Figure 6 As shown, the area between the wheel tread profile measurement point sequence after translation and rotation and the reference rail profile is calculated as the wear area by the following formula:

[0048]

[0049] Wear concentration, such as Figure 7 As shown, before calculation, the coordinates of the center of gravity of the wear area (y 0 ,z 0 ), and find rectangles with equal areas, such as Figure 8 As shown, and the center of gravity (y 0 ,z 0 ) to calculate the area inertia around the axis, with a subdivision step of 0.1 mm on the y-axis, calculated by the following formula:

[0050]

[0051] In the formula, y′ j ,z′ j represents the coordinates of the jth point of the wheel tread profile; y j-1 ,z j-1 represents the coordinates of the j-1th point of the reference rail profile; z" is the average wear depth;

[0052] Conformality, before calculation, the measurement point sequence (y′ i ,z′ i ), i = 1, 2…, n, corresponding point sequence to the reference rail profile (y i ,z i ), i=1,2…,n, interpolate to find the contact point (y c ,z c ),like Fig. 9 As shown, the calculation is done by point (y 1 ,z 1 ), (y′ 1 ,z′ 1 ) and (y n ,z n ) and (y′ n ,z′ n ) is the area enclosed by the following formula:

[0053]

[0054] Finally, the linear superposition integration algorithm based on concavity is calculated according to the following formula and weight parameters:

[0055] ∪=aA+bB+cC+dD

[0056] Where a, b, c, and d are four optimized parameters related to different wheel-rail shapes and vehicle suspension parameters. This concavity is equivalent to the previous equivalent taper, but the measurement method is simpler and the evaluation method incorporates rail profiles with different degrees of wear.

[0057] The preferred specific embodiments of the present invention are described in detail above. It should be understood that a person skilled in the art can make many modifications and changes based on the concept of the present invention without creative work. Therefore, any technical solution that can be obtained by a person skilled in the art through logical analysis, reasoning or limited experiments based on the concept of the present invention on the basis of the prior art should be within the scope of protection determined by the claims.

Claims

1. A wheel tread profile concave wear test analysis algorithm, characterized in that: The algorithm flow is as follows: Measure wheel tread profile data; Based on the actual measured point data of the wheel tread profile and the corresponding point data of the reference rail profile, the overall slope difference between the two as well as the wear area, wear concentration and conformality are calculated; For the calculated overall slope difference, wear area, wear concentration and conformality, the concavity of the wheel tread profile is calculated based on the linear superposition integration algorithm.

2. A wheel tread profile concave wear test analysis algorithm according to claim 1, characterized in that: The overall slope difference is calculated as follows: In the formula, y1 ′ ,z1 ′ ,y n ′ ,z ′ n are the starting and ending point coordinates of the actual measurement point sequence of the wheel tread profile; y1, z1, y n ,z n They are the starting and ending point coordinates of the corresponding point sequence of the reference rail profile.

3. The wheel tread profile concave wear test analysis algorithm according to claim 1, characterized in that: The calculation of the wear area is as follows: Align one end of the wheel tread profile measurement point sequence with the same section of the reference rail profile corresponding point sequence by translation; The wheel tread profile measurement point sequence is rotated with the alignment point as the axis so that the other end of the wheel tread profile measurement point sequence is aligned with the other end of the reference rail profile corresponding point sequence; Calculate the wear area between the translated and rotated wheel tread profile measurement point sequence and the reference rail profile.

4. A wheel tread profile concave wear test analysis algorithm according to claim 3, characterized in that: The wear concentration is calculated as follows: First, calculate the coordinates of the center of gravity of the wear area (y0, z0), and find a rectangle with equal area; Calculate the area inertia around the axis using a vertical line passing through the center of gravity (y0,z0): In the formula, y j ′ ,z j ′ represents the coordinates of the jth point; z" is the average wear depth, which is equal to the wear area / width, and the width is y5 ′ -y1 ′ .

5. The wheel tread profile concave wear test analysis algorithm according to claim 1, characterized in that: The conformality is calculated as follows: The measurement point sequence (y i ′ ,z i ′ ) and the corresponding point sequence of the reference rail profile (y i ,z i ); Find the contact point (y0,z0), calculate the point (y1,z1), (y1 ′ ,z1 ′ ) and (y n ,z n ) and (y n ′ ,z ′ n ) is taken as the conformality between the measuring point and the reference rail profile.

6. The wheel tread profile concave wear test analysis algorithm according to claim 1, characterized in that: The concavity is calculated using the linear superposition integration algorithm as follows: ∪=aA+bB+cC+dD Where A, B, C, and D are the overall slope difference, wear area, wear concentration, and conformality, respectively; a, b, c, and d are four optimized parameters, which are related to different wheel-rail shapes and vehicle suspension parameters.

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