CN110239588B - Wheel set tread wear determination method and device - Google Patents
Wheel set tread wear determination method and device Download PDFInfo
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- CN110239588B CN110239588B CN201910505770.4A CN201910505770A CN110239588B CN 110239588 B CN110239588 B CN 110239588B CN 201910505770 A CN201910505770 A CN 201910505770A CN 110239588 B CN110239588 B CN 110239588B
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- 238000000034 method Methods 0.000 title claims abstract description 31
- 229910000831 Steel Inorganic materials 0.000 claims abstract description 155
- 239000010959 steel Substances 0.000 claims abstract description 155
- 238000006073 displacement reaction Methods 0.000 claims abstract description 33
- 238000005096 rolling process Methods 0.000 claims abstract description 31
- 238000005299 abrasion Methods 0.000 claims abstract description 28
- 238000001514 detection method Methods 0.000 claims description 6
- 238000009826 distribution Methods 0.000 description 4
- 238000004088 simulation Methods 0.000 description 4
- 230000008569 process Effects 0.000 description 3
- XEEYBQQBJWHFJM-UHFFFAOYSA-N Iron Chemical compound [Fe] XEEYBQQBJWHFJM-UHFFFAOYSA-N 0.000 description 2
- 101100006258 Nicotiana tabacum CHN50 gene Proteins 0.000 description 2
- 238000010586 diagram Methods 0.000 description 2
- 238000012986 modification Methods 0.000 description 2
- 230000004048 modification Effects 0.000 description 2
- 238000011160 research Methods 0.000 description 2
- 238000003860 storage Methods 0.000 description 2
- 238000009825 accumulation Methods 0.000 description 1
- 230000009471 action Effects 0.000 description 1
- 238000004364 calculation method Methods 0.000 description 1
- 230000008859 change Effects 0.000 description 1
- 238000004140 cleaning Methods 0.000 description 1
- 230000003247 decreasing effect Effects 0.000 description 1
- 230000007547 defect Effects 0.000 description 1
- 238000006731 degradation reaction Methods 0.000 description 1
- 230000005489 elastic deformation Effects 0.000 description 1
- 230000003993 interaction Effects 0.000 description 1
- 229910052742 iron Inorganic materials 0.000 description 1
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B61—RAILWAYS
- B61K—AUXILIARY EQUIPMENT SPECIALLY ADAPTED FOR RAILWAYS, NOT OTHERWISE PROVIDED FOR
- B61K9/00—Railway vehicle profile gauges; Detecting or indicating overheating of components; Apparatus on locomotives or cars to indicate bad track sections; General design of track recording vehicles
- B61K9/12—Measuring or surveying wheel-rims
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Abstract
The embodiment of the invention provides a method and a device for determining wheel set tread abrasion, and belongs to the field of railway transportation. The method comprises the following steps: determining a curve equation of the top surface of the steel rail according to the offset between the rail surface and the wheel set, the upward displacement of the steel rail relative to the top surface of the wheel set, the radius of the first arc, the radius of the second arc and the distance from the midpoint of the steel rail to the tangent point of the first arc and the tangent point of the second arc; determining a deformation equation of a steel rail contact area according to a steel rail top surface curve equation and wheel set tread curve coordinates; calculating the deformation area of the steel rail relative to the wheel set according to the deformation equation of the steel rail contact area; and obtaining the worn wheel set tread curve coordinate according to the top surface upward displacement of the steel rail relative to the wheel set when the deformation area of the steel rail relative to the wheel set is equal to the preset wheel set deformation area, the deformation equation of the steel rail contact area, the wheel set tread curve coordinate and the proportion coefficient of the rolling abrasion loss and the deformation of each point of the wheel set tread. The invention can realize the analysis of the wheel set tread abrasion rule with low cost and high efficiency.
Description
Technical Field
The invention relates to railway transportation, in particular to a wheel set tread wear determination method and device.
Background
The wheel set is a key part of a railway transport vehicle and is important for efficient railway transportation. However, due to the complex interaction between the wheel and the rail, the wheel sets will inevitably wear during use, and the wear amounts at different positions are different under different operating conditions. The degradation process and the rule of cleaning the wheel pair have important significance for optimizing the turning process and the turning period of the decision wheel pair. Although the wheel set abrasion rule is more consistent with the practical application condition through experimental study, the defects of long experimental time consumption, high cost and the like exist. The existing wheel set tread abrasion simulation method mainly utilizes dynamic analysis software to research the influence of wheel set tread abrasion on the dynamic performance of a vehicle in operation, and rarely researches the wheel set tread abrasion from the angle of combining a mechanism and data driving.
Disclosure of Invention
The embodiment of the invention aims to provide a wheel set tread wear determining method and device, which can realize wheel set tread wear rule analysis with low cost and high efficiency.
In order to achieve the above object, an embodiment of the present invention provides a method for determining tread wear of a wheel set, the wheel set being in contact with a rail including a first arc having a largest radius and a second arc at a position in contact with a rim, the method including: detecting the radius of the first circular arc, the radius of the second circular arc and the distance from the middle point of the steel rail to the tangent point of the first circular arc and the second circular arc; determining a curve equation of the top surface of the steel rail according to the offset of the rail surface and the wheel set, the upward displacement of the steel rail relative to the top surface of the wheel set, the radius of the first arc, the radius of the second arc and the distance from the midpoint of the steel rail to the tangent point of the first arc and the second arc; determining a deformation equation of a steel rail contact area according to the curve equation of the top surface of the steel rail and the curve coordinates of the wheel set tread; calculating the deformation area of the steel rail relative to the wheel pair according to the deformation equation of the steel rail contact area; and obtaining the worn wheel set tread curve coordinate according to the upward displacement of the steel rail relative to the top surface of the wheel set when the deformation area of the steel rail relative to the wheel set is equal to the preset wheel set deformation area, the deformation equation of the steel rail contact area, the wheel set tread curve coordinate and the proportion coefficient of the rolling wear of each point of the wheel set tread and the deformation.
Preferably, the determining a rail top surface curve equation according to the offset of the rail surface from the wheel set, the upward displacement of the rail relative to the top surface of the wheel set, the radius of the first arc, the radius of the second arc, and the distance from the rail midpoint to the tangent point of the first arc and the second arc comprises: determining the circle center coordinate of the second circular arc according to the radius of the first circular arc, the radius of the second circular arc and the distance from the middle point of the steel rail to the tangent point of the first circular arc and the second circular arc; and determining a curve equation of the top surface of the steel rail according to the offset of the rail surface and the wheel set, the upward displacement of the steel rail relative to the top surface of the wheel set, the center coordinates of the second arc, the radius of the first arc and the radius of the second arc.
Preferably, the center coordinates of the second circular arc are obtained by the following formula:
wherein x1 is the abscissa of the center of the second circular arc, y1 is the ordinate of the center of the second circular arc, r1 is the radius of the first circular arc, r2 is the radius of the second circular arc, and w1 is the distance from the midpoint of the steel rail to the tangent point of the first circular arc and the second circular arc.
Preferably, the steel rail top surface curve equation is as follows:
y (x, α, h) is a curve equation of the top surface of the steel rail, α is an offset between a rail surface and the wheel set, h is an upward displacement of the steel rail relative to the top surface of the wheel set, y1 is a longitudinal coordinate of the center of the second arc, r2 is a radius of the second arc, x1 is a transverse coordinate of the center of the second arc, and w2 is a half of the width of the steel rail.
Preferably, the deformation equation of the rail contact area is as follows:
wherein, A (x, alpha, h) is a deformation equation of the steel rail contact area, y (x, alpha, h) is a curve equation of the top surface of the steel rail, and f (x) is a longitudinal coordinate of a curve of the wheel set tread.
Preferably, the deformation area of the rail relative to the wheelset is obtained by the following formula:
B＝∑A(x,α,h)·Δx
and B is the deformation area of the steel rail relative to the wheel pair, and Delta x is the interval length of the steel rail width divided into a plurality of small intervals.
Preferably, the worn wheel set tread curve coordinate is obtained by the following formula:
(x2,y2)＝(x,f(x)-k·A(x,α,h0))
wherein, (x2, y2) is the worn wheel set pedalSurface curve coordinates, x, f (x) are the curve coordinates of the wheel set tread, k is the proportional coefficient of the rolling abrasion loss and the deformation of each point of the wheel set tread, h0And the upward displacement of the steel rail relative to the top surface of the wheel set is determined when the deformation area of the steel rail relative to the wheel set is equal to the preset wheel set deformation area.
The embodiment of the present invention further provides a wheel set tread wear determining device, where the wheel set contacts a steel rail, the steel rail includes a first arc with a largest radius and a second arc at a position contacting a wheel rim, and the device includes: the detection unit is used for detecting the radius of the first arc, the radius of the second arc and the distance from the middle point of the steel rail to the tangent point of the first arc and the second arc; the processing unit is configured to: determining a curve equation of the top surface of the steel rail according to the offset of the rail surface and the wheel set, the upward displacement of the steel rail relative to the top surface of the wheel set, the radius of the first arc, the radius of the second arc and the distance from the midpoint of the steel rail to the tangent point of the first arc and the second arc; determining a deformation equation of a steel rail contact area according to the curve equation of the top surface of the steel rail and the curve coordinates of the wheel set tread; calculating the deformation area of the steel rail relative to the wheel pair according to the deformation equation of the steel rail contact area; and obtaining the worn wheel set tread curve coordinate according to the upward displacement of the steel rail relative to the top surface of the wheel set when the deformation area of the steel rail relative to the wheel set is equal to the preset wheel set deformation area, the deformation equation of the steel rail contact area, the wheel set tread curve coordinate and the proportion coefficient of the rolling wear of each point of the wheel set tread and the deformation.
Preferably, the determining a rail top surface curve equation according to the offset of the rail surface from the wheel set, the upward displacement of the rail relative to the top surface of the wheel set, the radius of the first arc, the radius of the second arc, and the distance from the rail midpoint to the tangent point of the first arc and the second arc comprises: determining the circle center coordinate of the second circular arc according to the radius of the first circular arc, the radius of the second circular arc and the distance from the middle point of the steel rail to the tangent point of the first circular arc and the second circular arc; and determining a curve equation of the top surface of the steel rail according to the offset of the rail surface and the wheel set, the upward displacement of the steel rail relative to the top surface of the wheel set, the center coordinates of the second arc, the radius of the first arc and the radius of the second arc.
Preferably, the worn wheel set tread curve coordinate is obtained by the following formula:
(x2,y2)＝(x,f(x)-k·A(x,α,h0))
wherein (x2, y2) is the curve coordinate of the worn wheel set tread, x, f (x) is the curve coordinate of the wheel set tread, k is the proportionality coefficient of the rolling abrasion loss and the deformation of each point of the wheel set tread, h is the proportionality coefficient of the rolling abrasion loss and the deformation of each point of the wheel set tread, and h is the proportionality coefficient of the rolling abrasion loss and the deformation of each0And the upward displacement of the steel rail relative to the top surface of the wheel set is determined when the deformation area of the steel rail relative to the wheel set is equal to the preset wheel set deformation area.
According to the technical scheme, the method and the device for determining the wheel set tread abrasion provided by the invention are adopted to detect the radius of the first arc, the radius of the second arc and the distance from the middle point of the steel rail to the tangent point of the first arc and the second arc, then determine a curve equation of the top surface of the steel rail according to the detected data, then determine a deformation equation of the contact area of the steel rail, then calculate the deformation area of the steel rail relative to the wheel set, and finally obtain the curve coordinate of the wheel set tread after abrasion. The wheel set tread wear determining method and the wheel set tread wear determining device can realize analysis of wheel set tread wear rules with low cost and high efficiency.
Additional features and advantages of embodiments of the invention will be set forth in the detailed description which follows.
Drawings
The accompanying drawings, which are included to provide a further understanding of the embodiments of the invention and are incorporated in and constitute a part of this specification, illustrate embodiments of the invention and together with the description serve to explain the embodiments of the invention without limiting the embodiments of the invention. In the drawings:
FIG. 1 is a flow chart of a wheel-to-tread wear determination method provided by an embodiment of the present invention;
FIG. 2 is a schematic view of a rail in a coordinate system according to an embodiment of the present invention;
FIG. 3 is a schematic view of a CHN50 steel rail according to one embodiment of the present invention;
fig. 4 is a schematic structural diagram of a wheel-to-tread wear determination device according to an embodiment of the present invention.
Description of the reference numerals
1 detection unit 2 processing unit
Detailed Description
The following detailed description of embodiments of the invention refers to the accompanying drawings. It should be understood that the detailed description and specific examples, while indicating embodiments of the invention, are given by way of illustration and explanation only, not limitation.
FIG. 1 is a flow chart of a wheel-to-tread wear determination method according to an embodiment of the present invention. As shown in fig. 1, the wheelset is in contact with a rail comprising a first arc of maximum radius and a second arc of contact with the rim, the method comprising:
step S11, detecting the radius of the first circular arc, the radius of the second circular arc and the distance from the middle point of the steel rail to the tangent point of the first circular arc and the second circular arc;
step S12, determining a curve equation of the top surface of the steel rail according to the offset of the rail surface and the wheel set, the upward displacement of the steel rail relative to the top surface of the wheel set, the radius of the first circular arc, the radius of the second circular arc and the distance from the midpoint of the steel rail to the tangent point of the first circular arc and the second circular arc;
step S13, determining a deformation equation of a steel rail contact area according to the curve equation of the top surface of the steel rail and the curve coordinates of the wheel set tread;
step S14, calculating the deformation area of the steel rail relative to the wheel set according to the deformation equation of the steel rail contact area;
and step S15, obtaining worn wheel set tread curve coordinates according to the upward displacement of the steel rail relative to the top surface of the wheel set when the deformation area of the steel rail relative to the wheel set is equal to the preset wheel set deformation area, the deformation equation of the steel rail contact area, the wheel set tread curve coordinates and the proportion coefficient of the rolling wear of each point of the wheel set tread and the deformation.
Because the rigidity of the wheel is obviously less than that of the steel rail, the tread can generate linear elastic deformation under the action of axle weight, so that a wheel rail contact surface is generated, and the stress at different points on the contact surface is in direct proportion to the deformation. When the axial weight is constant, the deformation amount constituting area is determined and is denoted by a.
The proportionality coefficient is set to k, assuming that the wear at each point of the tread is proportional to the square of the deformation (the assumption is based on the fact that very large deformations can only occur on the rim, which is accompanied by a component of sliding friction).
The rail surface midpoint does not necessarily coincide with the tread rolling circle base point even in the case of standard symmetry. For the Chinese iron standard and the standard gauge, the distance between the middle points of the left and right rail surfaces is 1435+ 70-1505 mm, and the distance between the two rolling circle base points of the left and right treads of the wheel set is 1353+ 140-1493 mm. Thus, in the case of standard symmetry, the rail midpoint is 6mm outside the base point of the tread, and considering the randomness of the offset X during operation, it can be assumed that X follows a normal distribution N (6, σ)2)。
The difference in offset X results in a different amount of deformation and hence wear at each point on the tread surface during rolling of the wheel. About every 2 x pi x 0.42 ≈ 2.64 meters undergoes a crush, about 7 thousand 6 million crushes within 20 kilometres of travel, and the accumulation of the wear amount causes a change in the tread shape.
Therefore, first, simulation parameters are calculated, regarding the offset amount X-6, the wheel-rail gap is (1435-2) The wheel-rail gap should be taken as the 0.4 minute point on both sides of the offset distribution, i.e. the upper 0.2 minute point, and the thickness of the 41-wheel rim is made to be z0.2σ is 0.84 σ, so the standard deviation σ is (41-rim thickness)/0.84.
Regarding the area a of the deformed region:
modulus of elasticity of tread steel:
E＝2.06×105MPa＝2.06×105×106N/m2＝2.06×104kg/mm2＝20.6(T/mm2). By the Hooke's theorem:
this means that compressing a square millimeter of the tread to one thousandth of the radius can produce 20.6 kilograms of spring force.
Taking a C80 truck as an example, the axle weight is calculated according to 25 tons, a single wheel needs to bear 12.5 tons of load, the contact patch area of the wheel track is assumed to be constant, and the contact patch area is 210mm according to 7 × 302Calculating, taking each square millimeter as a stress unit, wherein the total stress unit is 210, the total strain is 12.5/20.6-0.607, the average deformation of each unit is 0.607 × 420/210-1.214 mm, and the area of the deformation area is A-1.214 × 30-36.42 mm2。
The wheel wear per 20 kilometres of travel is approximately 2mm, and the losses per pass are approximately:
2÷76000000≈2.63×10-8mm
assuming that the rolling abrasion of each point of the tread is in direct proportion to the deformation, then taking the proportionality coefficient as
k＝2.63×10-8÷1.456≈1.8×10-8
Since there is also sliding friction between the rim portion and the rail side surface, accelerated wear of the rim is caused, and it is assumed that the amount of sliding wear is proportional to the product of the amount of deformation of the tread point and the distance from the tread point to the rolling circle (the proportionality coefficient can be adjusted appropriately on the basis of k).
Fig. 2 is a schematic view of a steel rail in a coordinate system according to an embodiment of the present invention. As shown in fig. 2, the following calculation steps are based on the coordinate system.
The surface of the steel rail can be regarded as consisting of N arcs with different radiuses, wherein the arc with the largest radius is a first arc, and the arc at the position contacting with the wheel rim is a second arc.
Then, according to the radius of the first arc, the radius of the second arc and the distance from the middle point of the steel rail to the tangent point of the first arc and the second arc, determining the center coordinates of the second arc by the following formula;
wherein x1 is the abscissa of the center of the second circular arc, y1 is the ordinate of the center of the second circular arc, r1 is the radius of the first circular arc, r2 is the radius of the second circular arc, and w1 is the distance from the midpoint of the steel rail to the tangent point of the first circular arc and the second circular arc.
Then, determining a curve equation of the top surface of the steel rail according to the offset of the rail surface and the wheel set, the upward displacement of the steel rail relative to the top surface of the wheel set, the center coordinates of the second circular arc, the radius of the first circular arc and the radius of the second circular arc, wherein the equation is as follows:
y (x, α, h) is a curve equation of the top surface of the steel rail, α is an offset between a rail surface and the wheel set, h is an upward displacement of the steel rail relative to the top surface of the wheel set, y1 is a longitudinal coordinate of the center of the second arc, r2 is a radius of the second arc, x1 is a transverse coordinate of the center of the second arc, and w2 is a half of the width of the steel rail.
Then, according to the curve equation of the top surface of the steel rail and the curve coordinates of the wheel set tread, determining a deformation equation of the contact area of the steel rail, wherein the equation is as follows:
wherein, A (x, alpha, h) is a deformation equation of the steel rail contact area, y (x, alpha, h) is a curve equation of the top surface of the steel rail, and f (x) is a longitudinal coordinate of a curve of the wheel set tread.
Then, according to the deformation equation of the steel rail contact area, calculating the deformation area of the steel rail relative to the wheel set by the following formula:
B＝∑A(x,α,h)·Δx
wherein B is the deformation area of the rail with respect to the wheelset, Δ x is the interval length of the rail width divided into a plurality of small intervals, and since the height of each small interval is different, h varies with Δ x in this formula.
And finally, obtaining the worn wheel set tread curve coordinate through the following formula according to the upward displacement of the steel rail relative to the top surface of the wheel set when the deformation area of the steel rail relative to the wheel set is equal to the preset wheel set deformation area, the deformation equation of the steel rail contact area, the wheel set tread curve coordinate and the proportion coefficient of the rolling wear of each point of the wheel set tread and the deformation:
(x2,y2)＝(x,f(x)-k·A(x,α,h0))
wherein (x2, y2) is the curve coordinate of the worn wheel set tread, x, f (x) is the curve coordinate of the wheel set tread, k is the proportionality coefficient of the rolling abrasion loss and the deformation of each point of the wheel set tread, h is the proportionality coefficient of the rolling abrasion loss and the deformation of each point of the wheel set tread, and h is the proportionality coefficient of the rolling abrasion loss and the deformation of each0And the upward displacement of the steel rail relative to the top surface of the wheel set is determined when the deformation area of the steel rail relative to the wheel set is equal to the preset wheel set deformation area.
The wheel tread appearance after a certain mileage is obtained after the number of times of repeating the above process is equal to the number of times of rolling the wheel within the set mileage.
Fig. 3 is a schematic view of a CHN50 steel rail according to an embodiment of the present invention. As shown in fig. 3, the center coordinates of the arc having a radius of curvature of 300 (first arc) are (0,300), and the center coordinates of the arc having a radius of curvature of 13 (second arc) are
The curve equation of the top surface of the steel rail is as follows:
the running mileage of the wheel is set, the corresponding wheel rolling times are calculated, and then simulation parameters such as the distribution parameter (standard deviation of normal distribution) of the offset, the area A of the wheel rail deformation area, the proportional coefficient k and the loss amount of each rolling are calculated according to a simulation parameter setting method. When the offset is alpha and the rail surface moves upwards to be h, the curve equation of the top surface of the steel rail is as follows:
the deformation of the wheel-rail contact area is (x, f (x)) and (x-alpha) is (35) or (x, f (x)), and the curve coordinate of the wheel tread surface is (x, f (x)), (x-alpha) is (35)
After the offset α is randomly generated, h0 having an area equal to a is determined as follows:
if h is 0, the sum of Sigma A (x, alpha, 0) and Delta x is less than A, then h is gradually decreased from zero until the sum of Sigma A (x, alpha, h) and Delta x is more than or equal to A;
if h is equal to 0, sigma A (x, alpha, 0) and delta x are more than or equal to A, then h is gradually increased from zero until sigma A (x, alpha, h) and delta x are less than or equal to A;
where Δ x is an interval length obtained by dividing the abscissa interval (-35,35) into a plurality of cells, and if 70, the length of each cell is 1.
After the parameter h0 is determined, new coordinates (x, f (x) -k.A (x, α, h) of the tread profile curve with the abrasion subtracted can be obtained0)). The wheel tread appearance after a certain mileage is obtained after the number of times of repeating the above process is equal to the number of times of rolling the wheel within the set mileage.
Fig. 4 is a schematic structural diagram of a wheel-to-tread wear determination device according to an embodiment of the present invention. As shown in fig. 4, the wheelset is in contact with a rail including a first arc having a maximum radius and a second arc at a location in contact with the rim, the apparatus comprising: the device comprises a detection unit 1 and a processing unit 2, wherein the detection unit 1 is used for detecting the radius of the first arc, the radius of the second arc and the distance from the middle point of the steel rail to the tangent point of the first arc and the second arc; the processing unit 2 is configured to: determining a curve equation of the top surface of the steel rail according to the offset of the rail surface and the wheel set, the upward displacement of the steel rail relative to the top surface of the wheel set, the radius of the first arc, the radius of the second arc and the distance from the midpoint of the steel rail to the tangent point of the first arc and the second arc; determining a deformation equation of a steel rail contact area according to the curve equation of the top surface of the steel rail and the curve coordinates of the wheel set tread; calculating the deformation area of the steel rail relative to the wheel pair according to the deformation equation of the steel rail contact area; and obtaining the worn wheel set tread curve coordinate according to the upward displacement of the steel rail relative to the top surface of the wheel set when the deformation area of the steel rail relative to the wheel set is equal to the preset wheel set deformation area, the deformation equation of the steel rail contact area, the wheel set tread curve coordinate and the proportion coefficient of the rolling wear of each point of the wheel set tread and the deformation.
Preferably, the determining a rail top surface curve equation according to the offset of the rail surface from the wheel set, the upward displacement of the rail relative to the top surface of the wheel set, the radius of the first arc, the radius of the second arc, and the distance from the rail midpoint to the tangent point of the first arc and the second arc comprises: determining the circle center coordinate of the second circular arc according to the radius of the first circular arc, the radius of the second circular arc and the distance from the middle point of the steel rail to the tangent point of the first circular arc and the second circular arc; and determining a curve equation of the top surface of the steel rail according to the offset of the rail surface and the wheel set, the upward displacement of the steel rail relative to the top surface of the wheel set, the center coordinates of the second arc, the radius of the first arc and the radius of the second arc.
Preferably, the worn wheel set tread curve coordinate is obtained by the following formula:
(x2,y2)＝(x,f(x)-k·A(x,α,h0))
wherein (x2, y2) is the curve coordinate of the worn wheel set tread, x, f (x) is the curve coordinate of the wheel set tread, k is the proportionality coefficient of the rolling abrasion loss and the deformation of each point of the wheel set tread, h is the proportionality coefficient of the rolling abrasion loss and the deformation of each point of the wheel set tread, and h is the proportionality coefficient of the rolling abrasion loss and the deformation of each0Is a rail facingAnd the upward displacement of the steel rail relative to the top surface of the wheel pair is realized when the deformation area of the wheel pair is equal to the preset deformation area of the wheel pair.
The embodiments of the apparatus described above are similar to the embodiments of the method described above, and are not described again here.
According to the technical scheme, the method and the device for determining the wheel set tread abrasion provided by the invention are adopted to detect the radius of the first arc, the radius of the second arc and the distance from the middle point of the steel rail to the tangent point of the first arc and the second arc, then determine a curve equation of the top surface of the steel rail according to the detected data, then determine a deformation equation of the contact area of the steel rail, then calculate the deformation area of the steel rail relative to the wheel set, and finally obtain the curve coordinate of the wheel set tread after abrasion. The wheel set tread wear determining method and the wheel set tread wear determining device can realize analysis of wheel set tread wear rules with low cost and high efficiency.
Although the embodiments of the present invention have been described in detail with reference to the accompanying drawings, the embodiments of the present invention are not limited to the details of the above embodiments, and various simple modifications can be made to the technical solutions of the embodiments of the present invention within the technical idea of the embodiments of the present invention, and the simple modifications all belong to the protection scope of the embodiments of the present invention.
It should be noted that the various features described in the above embodiments may be combined in any suitable manner without departing from the scope of the invention. In order to avoid unnecessary repetition, the embodiments of the present invention do not describe every possible combination.
Those skilled in the art will understand that all or part of the steps in the method according to the above embodiments may be implemented by a program, which is stored in a storage medium and includes several instructions to enable a single chip, a chip, or a processor (processor) to execute all or part of the steps in the method according to the embodiments of the present application. And the aforementioned storage medium includes: a U-disk, a removable hard disk, a Read-Only Memory (ROM), a Random Access Memory (RAM), a magnetic disk or an optical disk, and other various media capable of storing program codes.
In addition, any combination of various different implementation manners of the embodiments of the present invention is also possible, and the embodiments of the present invention should be considered as disclosed in the embodiments of the present invention as long as the combination does not depart from the spirit of the embodiments of the present invention.
Claims (10)
1. A method for determining the tread wear of a wheel set in contact with a rail comprising a first arc of maximum radius and a second arc of contact with a wheel rim, the method comprising:
detecting the radius of the first circular arc, the radius of the second circular arc and the distance from the middle point of the steel rail to the tangent point of the first circular arc and the second circular arc;
determining a curve equation of the top surface of the steel rail according to the offset of the rail surface and the wheel set, the upward displacement of the steel rail relative to the top surface of the wheel set, the radius of the first arc, the radius of the second arc and the distance from the midpoint of the steel rail to the tangent point of the first arc and the second arc;
determining a deformation equation of a steel rail contact area according to the curve equation of the top surface of the steel rail and the curve coordinates of the wheel set tread;
calculating the deformation area of the steel rail relative to the wheel pair according to the deformation equation of the steel rail contact area;
and obtaining the worn wheel set tread curve coordinate according to the upward displacement of the steel rail relative to the top surface of the wheel set when the deformation area of the steel rail relative to the wheel set is equal to the preset wheel set deformation area, the deformation equation of the steel rail contact area, the wheel set tread curve coordinate and the proportion coefficient of the rolling wear of each point of the wheel set tread and the deformation.
2. The method of determining wheelset tread wear according to claim 1, wherein determining a rail top surface curve equation based on the offset of the rail surface from the wheelset, the amount of the rail is displaced upward relative to the top surface of the wheelset, the radius of the first arc, the radius of the second arc, and the distance from the rail midpoint to the tangent point of the first arc and the second arc comprises:
determining the circle center coordinate of the second circular arc according to the radius of the first circular arc, the radius of the second circular arc and the distance from the middle point of the steel rail to the tangent point of the first circular arc and the second circular arc;
and determining a curve equation of the top surface of the steel rail according to the offset of the rail surface and the wheel set, the upward displacement of the steel rail relative to the top surface of the wheel set, the center coordinates of the second arc, the radius of the first arc and the radius of the second arc.
3. The wheel-to-tread wear determination method of claim 2, wherein the coordinates of the center of the second arc are obtained by the following formula:
wherein x1 is the abscissa of the center of the second circular arc, y1 is the ordinate of the center of the second circular arc, r1 is the radius of the first circular arc, r2 is the radius of the second circular arc, and w1 is the distance from the midpoint of the steel rail to the tangent point of the first circular arc and the second circular arc.
4. The method of determining wheel-to-tread wear of claim 3, wherein the rail top surface curve equation is:
y (x, α, h) is a curve equation of the top surface of the steel rail, α is an offset between a rail surface and the wheel set, h is an upward displacement of the steel rail relative to the top surface of the wheel set, y1 is a longitudinal coordinate of the center of the second arc, r2 is a radius of the second arc, x1 is a transverse coordinate of the center of the second arc, and w2 is a half of the width of the steel rail.
5. The method of determining wheel-to-tread wear according to claim 4, wherein the equation for the amount of deformation of the rail contact area is:
wherein, A (x, alpha, h) is a deformation equation of the steel rail contact area, y (x, alpha, h) is a curve equation of the top surface of the steel rail, and f (x) is a longitudinal coordinate of a curve of the wheel set tread.
6. The method of determining wheelset tread wear of claim 5, wherein the area of deformation of the rail relative to the wheelset is obtained by the formula:
B＝∑A(x,α,h)·Δx
and B is the deformation area of the steel rail relative to the wheel pair, and Delta x is the interval length of the steel rail width divided into a plurality of small intervals.
7. The method for determining wheel-to-tread wear according to claim 6, wherein the coordinates of the wheel-to-tread curve after wear are obtained by the following formula:
(x2,y2)＝(x,f(x)-k·A(x,α,h0))
wherein (x2, y2) is the curve coordinate of the worn wheel set tread, x, f (x) is the curve coordinate of the wheel set tread, k is the proportionality coefficient of the rolling abrasion loss and the deformation of each point of the wheel set tread, h is the proportionality coefficient of the rolling abrasion loss and the deformation of each point of the wheel set tread, and h is the proportionality coefficient of the rolling abrasion loss and the deformation of each0And the upward displacement of the steel rail relative to the top surface of the wheel set is determined when the deformation area of the steel rail relative to the wheel set is equal to the preset wheel set deformation area.
8. A wheel-set tread wear determination apparatus, the wheel-set being in contact with a rail, the rail including a first arc of maximum radius and a second arc of location in contact with a wheel rim, the apparatus comprising:
a detection unit and a processing unit, wherein,
the detection unit is used for detecting the radius of the first arc, the radius of the second arc and the distance from the middle point of the steel rail to the tangent point of the first arc and the second arc;
the processing unit is configured to:
determining a curve equation of the top surface of the steel rail according to the offset of the rail surface and the wheel set, the upward displacement of the steel rail relative to the top surface of the wheel set, the radius of the first arc, the radius of the second arc and the distance from the midpoint of the steel rail to the tangent point of the first arc and the second arc;
determining a deformation equation of a steel rail contact area according to the curve equation of the top surface of the steel rail and the curve coordinates of the wheel set tread;
calculating the deformation area of the steel rail relative to the wheel pair according to the deformation equation of the steel rail contact area;
and obtaining the worn wheel set tread curve coordinate according to the upward displacement of the steel rail relative to the top surface of the wheel set when the deformation area of the steel rail relative to the wheel set is equal to the preset wheel set deformation area, the deformation equation of the steel rail contact area, the wheel set tread curve coordinate and the proportion coefficient of the rolling wear of each point of the wheel set tread and the deformation.
9. The apparatus for determining wheelset tread wear of claim 8, wherein determining a rail top surface curve equation from the offset of the rail surface from the wheelset, the amount of the rail is displaced upward relative to the top surface of the wheelset, the radius of the first arc, the radius of the second arc, and the distance from the rail midpoint to the tangent point of the first arc and the second arc comprises:
determining the circle center coordinate of the second circular arc according to the radius of the first circular arc, the radius of the second circular arc and the distance from the middle point of the steel rail to the tangent point of the first circular arc and the second circular arc;
and determining a curve equation of the top surface of the steel rail according to the offset of the rail surface and the wheel set, the upward displacement of the steel rail relative to the top surface of the wheel set, the center coordinates of the second arc, the radius of the first arc and the radius of the second arc.
10. The wheel-to-tread wear determination apparatus of claim 8, wherein the worn wheel-to-tread curvilinear coordinates are obtained by the following formula:
(x2,y2)＝(x,f(x)-k·A(x,α,h0))
wherein (x2, y2) is the curve coordinate of the wheel set tread after abrasion, x, f (x) is the curve coordinate of the wheel set tread, k is the proportionality coefficient of the rolling abrasion loss and the deformation of each point of the wheel set tread, A (x, α, h)0) The deformation equation of the contact area of the steel rail when the deformation area of the steel rail relative to the wheel set is equal to the preset wheel set deformation area is α, the offset of the rail surface and the wheel set is h0And the upward displacement of the steel rail relative to the top surface of the wheel set is determined when the deformation area of the steel rail relative to the wheel set is equal to the preset wheel set deformation area.
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