CN116907330A - Wheel polygon measurement method and system based on multipoint chord measurement method and storage medium - Google Patents

Wheel polygon measurement method and system based on multipoint chord measurement method and storage medium Download PDF

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CN116907330A
CN116907330A CN202310784467.9A CN202310784467A CN116907330A CN 116907330 A CN116907330 A CN 116907330A CN 202310784467 A CN202310784467 A CN 202310784467A CN 116907330 A CN116907330 A CN 116907330A
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chord
wheel
measurement
measuring
polygon
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陈嵘
魏贤奎
从建力
王平
王源
徐井芒
安博洋
薛旻
徐舟
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South Sichuan Intercity Railway Co ltd
Southwest Jiaotong University
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South Sichuan Intercity Railway Co ltd
Southwest Jiaotong University
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01BMEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
    • G01B7/00Measuring arrangements characterised by the use of electric or magnetic techniques
    • G01B7/28Measuring arrangements characterised by the use of electric or magnetic techniques for measuring contours or curvatures
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01BMEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
    • G01B7/00Measuring arrangements characterised by the use of electric or magnetic techniques
    • G01B7/02Measuring arrangements characterised by the use of electric or magnetic techniques for measuring length, width or thickness
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01BMEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
    • G01B7/00Measuring arrangements characterised by the use of electric or magnetic techniques
    • G01B7/14Measuring arrangements characterised by the use of electric or magnetic techniques for measuring distance or clearance between spaced objects or spaced apertures
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F17/00Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/10Complex mathematical operations
    • G06F17/16Matrix or vector computation, e.g. matrix-matrix or matrix-vector multiplication, matrix factorization

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  • Length Measuring Devices With Unspecified Measuring Means (AREA)

Abstract

The application discloses a wheel polygon measurement method, a system and a storage medium based on a multipoint chord measurement method, wherein the method comprises the following steps: determining basic configuration of a multipoint chord system, wherein the basic configuration comprises a chord reference length L, a sampling interval delta s, an order n and a measuring point position k; constructing a measuring matrix H of the multipoint chord measuring system according to the measuring point positions; inversion model operator for constructing multipoint chord measurement systemCalculating a wheel polygon chord measurement value G according to the gap sensor data of the wheel polygon multipoint chord measurement system; and outputting the polygonal wheel restoration waveform. The method of the application can be the same asThe requirement of static measurement or dynamic measurement of the wheel polygon is met; the application adopts the multipoint chord measurement principle to completely measure the polygonal waveform of the wheel for the first time, and comprises the polygonal order, the polygonal wavelength and the polygonal amplitude; the measuring efficiency is high, the stability is good, the repeatability is good, the external environment vibration interference is resisted, and the environmental adaptability is good.

Description

Wheel polygon measurement method and system based on multipoint chord measurement method and storage medium
Technical Field
The application relates to the technical field of wheel polygon measurement, in particular to a wheel polygon measurement method based on a multipoint chord measurement method, a system and a storage medium.
Background
The wheels are key components of a railway wheel-rail system, the long-term continuous rolling contact action relationship between the wheels and the steel rail is the connecting tie of the vehicle system and the rail system, and the connecting tie is influenced by factors such as the wheel manufacturing process, the wheel materials, the wheel-rail contact surface roughness, the rail structure vibration characteristics, the bogie vibration characteristics and the like, the bending resonance modes of the wheels are excited, when the characteristic wavelength matched with the running speed is divided by the circumference of the wheels, the non-uniform abrasion is easy to occur in the circumferential direction of the wheels, and the wavelength distribution is wider, and is as short as tens of centimeters, and as long as the whole circumference of the wheels. The polygonal abrasion of the wheels can deteriorate the action relationship of the wheel rails, the action force amplitude and frequency between the wheel rails are obviously increased, and fatigue damage is caused to critical parts of the vehicle and the rail, such as rail face stripping blocks, rail face spots, wheel tread stripping blocks, fastener breakage and the like, so that the service lives of critical parts of the wheel rail system are greatly reduced, and the driving safety is threatened when the operation is serious.
The uneven abrasion phenomenon of the wheel polygon is common, is an engineering problem to be solved in a wheel rail system, is complicated in induction factor, has an undefined generation mechanism, and cannot essentially solve the generation of the wheel polygon. Currently, wheel turning is an effective measure to eliminate the wheel polygon, reducing the damage to critical components of the vehicle-rail system caused by wider frequency band vibrations excited by out-of-round wheels. Therefore, rapid and accurate measurement of the wheel polygon is an important premise for guiding the scientific turning of the wheel.
The existing wheel polygon detection methods are roughly classified into static detection and dynamic detection. The static detection is performed by using specialized instruments such as a wheel roughness measuring instrument and the like in a train stop state, such as a laser profile measuring instrument, a contact profile measuring instrument and the like, and has the characteristics of high detection precision, low measurement efficiency, high cost and the like. The dynamic detection of the wheel polygon is divided into the trackside detection and the vehicle-mounted detection, wherein the trackside detection is used for cleaning and time-frequency domain analysis of measured data by installing an acceleration sensor or a strain gauge on the rail web or the rail bottom, and identifying the order and the amplitude of the wheel polygon, and the arrangement range of the sensor for the trackside detection is not less than the circumference of the wheel tread because the circumference length of the wheel tread is about 2.9 m. For vehicle-mounted wheel polygon measurement based on axle box acceleration, the vehicle-mounted wheel polygon measurement is easy to be interfered by short wave irregularity of the surface of a steel rail consistent with typical wavelength of the wheel polygon and vibration interference of a bogie, difficulty is brought to a wheel polygon recognition algorithm based on axle box acceleration data, and meanwhile, the measurement system is complex in structure. The dynamic measurement method is difficult to measure the complete waveform of the wheel polygon, and is only approximate estimation of the order and the amplitude of the wheel polygon. Therefore, a rapid measurement technique for the complete waveform of the wheel polygon that can satisfy both static measurement and dynamic measurement of the wheel polygon is needed.
Disclosure of Invention
In order to solve the problems in the prior art, the application provides a wheel polygon measuring method, a system and a storage medium based on a multipoint chord measurement method, which realize the rapid and accurate measurement of the real waveform of the wheel polygon of the train, simultaneously satisfy the static and dynamic measurement of the wheel polygon, provide data support for the accurate turning of the wheel polygon, and solve the problems mentioned in the background art.
In order to achieve the above purpose, the present application provides the following technical solutions: a wheel polygon measurement method based on a multipoint chord measurement method, the wheel polygon measurement method comprising the steps of:
s101, determining basic configuration of a multipoint chord system, wherein the basic configuration comprises a chord reference length L, a sampling interval delta S, an order n and a measuring point position k;
s102, constructing a measuring matrix H of the multipoint chord measuring system according to the measuring point positions;
s103, constructing an inversion model operator of the multipoint chord measurement system
S104, calculating a wheel polygon chord measurement value G according to the gap sensor data of the wheel polygon multipoint chord measurement system;
s105, outputting a polygonal wheel restoration waveform.
Further, in step S102, the chord reference length L is divided according to the sampling interval Δs to obtain the number n-1 of measurement points, where the chord reference length L is divided into two parts by the i-th measurement point, the length of the left side of the i-th measurement point is i×Δs, the length of the right side of the i-th measurement point is (n-i) ×Δs, and the measurement matrix H corresponding to the i-th measurement point i The expression is as follows:
wherein, gamma is the proportion of the length of the right side of the ith measuring point to the chord reference length L,the length of the left side of the ith measuring point is the ratio of the length of the left side of the ith measuring point to the chord reference length; n is the number of discrete points of the total length of the measured object according to the sampling interval delta s; n is the order of the chord reference.
According to the positions of all the measuring points, a measuring matrix H of a multi-point chord measuring system is constructed, and the measuring matrix H of the multi-point chord measuring system is expressed as follows:
further, in step S103, an inversion model operator of the multi-point chord measurement system is constructed according to the measurement point position kThe formula is expressed as follows:
wherein, the liquid crystal display device comprises a liquid crystal display device,is a mathematical summation operator; t is matrix transposition operation; beta is a regular term coefficient, and the general value range is between 0.001 and 0.005; i is an identity matrix.
Further, the method comprises the steps of,
in step S104, according to the gap sensor data of the wheel polygon multipoint chord measurement system, an i-th chord measurement value G (i) corresponding to the wheel polygon chord measurement value is calculated, and the formula is expressed as follows:
H i ·Z=G(i);
Z=[z 0 ,z 1 ,…,z N-1 ] T
wherein Z is the original waveform of the polygon of the wheel, the waveform is scattered according to the sampling interval deltas, the length is N, and the amplitude of each scattered point is denoted as Z j The method comprises the steps of carrying out a first treatment on the surface of the T represents matrix transposition operation;
the set of chord measurement values of all measuring points carried by the chord reference, namely the formula of the chord measurement value G of the polygon of the wheel is expressed as follows:
further, in step S105, the wheel polygon chord measurement value G is used as an input of the inversion model, and is subjected to an inversion model operatorProcessing to obtain a final measurement result, outputting a polygonal recovery waveform of the wheel, and expressing the following formula:
wherein Z is * Is a recovery waveform of the polygon of the wheel.
In addition, in order to achieve the above purpose, the present application also provides the following technical solutions: a multi-point chordal measurement based wheel polygon measurement system, the measurement system comprising:
a sensing layer layout module: taking the polygon in the circumferential direction of the wheel as a measuring object of the multipoint chord measuring system, and carrying a gap sensor to sense the distance from the tread of the wheel;
a data acquisition card module: the wheel tread is closely attached to the encoder, the wheel rotates to drive the encoder which is closely attached to the wheel tread to synchronously rotate, and the encoder triggers the data acquisition card to record the gap value of the gap sensor of the multipoint chord measurement system;
and a data transmission module: transmitting the data acquired by the gap sensor to an upper computer through wireless transmission or wire by adopting a udp/tcp protocol;
and a data post-processing module: and processing data acquired by the gap sensor based on a multipoint chord measurement method and outputting a complete waveform of the polygon of the wheel.
In addition, in order to achieve the above purpose, the present application also provides the following technical solutions: an electronic device, the electronic device comprising: a processor; and a memory for storing one or more programs;
the one or more programs, when executed by the processor, cause the processor to perform the wheel polygon measurement method.
In addition, in order to achieve the above purpose, the present application also provides the following technical solutions: a computer readable storage medium having stored thereon a computer program which when executed by a processor implements the wheel polygon measurement method.
The beneficial effects of the application are as follows: the method can simultaneously meet the requirements of static measurement or dynamic measurement of the polygon of the wheel; the application adopts the multipoint chord measurement principle to completely measure the polygonal waveform of the wheel for the first time, and comprises the polygonal order, the polygonal wavelength and the polygonal amplitude; the measuring efficiency is high, the stability is good, the repeatability is good, the external environment vibration interference is resisted, and the environmental adaptability is good.
Drawings
FIG. 1 is a schematic diagram of a chord measurement system module;
FIG. 2 is a schematic diagram of the positions of various measuring points of the multi-point chord system;
FIG. 3 is a schematic diagram of a multi-point chord reference;
FIG. 4 is a schematic illustration of a wheel polygon measurement flow based on a multi-point chord measurement method;
FIG. 5 is a schematic diagram of a wheel polygon measurement system installation based on a multi-point chord measurement method;
FIG. 6 is a schematic diagram of the steps of a method for measuring a polygon of a wheel based on a multi-point chord measurement method;
fig. 7 is a diagram showing measured data of a 9-step wheel polygon of the motor train unit in example 2;
FIG. 8 is a schematic diagram of a configuration of a multi-point chord measurement system according to the embodiment 2;
FIG. 9 is a schematic diagram showing measurement of a chord reference at a certain position of a wheel in example 2;
FIG. 10 is a schematic diagram showing the comparison of the measurement results of the two-point chord measurement configuration with the original waveform;
FIG. 11 is a schematic diagram of a wheel polygon measurement system based on a multi-point chord measurement method;
FIG. 12 is a schematic diagram of an electronic device;
in the figure, a 110-sensor layer layout module; 120-a data acquisition card module; 130-a data transmission module; 140, a data post-processing module; 210-a processor; 220-memory.
Detailed Description
The following description of the embodiments of the present application will be made clearly and completely with reference to the accompanying drawings, in which it is apparent that the embodiments described are only some embodiments of the present application, but not all embodiments. All other embodiments, which can be made by those skilled in the art based on the embodiments of the application without making any inventive effort, are intended to be within the scope of the application.
Example 1
In the wheel track system, track irregularity is measured by adopting a chord measurement method, wherein the chord measurement method consists of a measurement model and an inversion model, as shown in fig. 1, in the measurement model, a measurement object is expressed as Y, and is used as an input of the chord measurement system, and a chord measurement value g is obtained after being processed by a chord reference convolution kernel h and is used as an inversion model h r Is input to obtain a restored waveform Y * And the final measurement result of the chord measurement method is obtained.
In order to improve the robustness of a chord measurement system and ensure the measurement accuracy of a wheel polygon, the application provides a wheel polygon measurement method based on a multipoint chord measurement method, which is shown in fig. 6, and comprises the following specific steps:
s101, determining basic configuration of a multipoint chord system, wherein the basic configuration comprises a chord reference length L, a sampling interval delta S, an order n and a measuring point position k;
s102, constructing a measuring matrix H of the multipoint chord measuring system according to the measuring point positions;
s103, constructing an inversion model operator of the multipoint chord measurement system
S104, calculating a wheel polygon chord measurement value G according to the gap sensor data of the wheel polygon multipoint chord measurement system;
s105, outputting a polygonal wheel restoration waveform.
Further toIn step S101, the wavelength component of the wheel polygon is as short as several centimeters and as long as the wheel circumference, for example, the wavelength corresponding to the 1 st order wheel out-of-round is the wheel circumference, which is approximately 3m. For completely measuring the wavelength components of the polygon of the wheel, the chord reference length L is about one tenth of the maximum wavelength, about 30cm, and the sampling interval can be 1mm, so that the chord reference measurement wavelength range is 2 mm-3000 mm, and the corresponding multi-point chord system order n is 301. Taking the measurement precision and the device development cost of the multi-point chord measurement system into comprehensive consideration, the number of the intermediate measuring points is recommended to be 2-5 except for 2 measuring points at the end part of the chord reference, and 2-5 are extracted at all chord reference equal dividing points, namely the working conditions are thatk=2~5。
Dividing the chord reference length L according to the sampling interval delta s to obtain the number of measuring point positions, dividing the chord reference length L according to the sampling interval delta s to obtain the number of measuring point positions n-1, dividing the chord reference length L into two parts by the ith measuring point as shown in figure 2, wherein the length of the left side of the ith measuring point is i delta s, the length of the right side of the ith measuring point is (n-i) delta s, and the measuring matrix H corresponding to the ith measuring point i
The multipoint chord measurement system can measure the matrix H:
the chord reference adopts a multi-point chord, and the example is shown in fig. 3, the chord length L is divided according to the sampling interval deltas and is divided into m parts, the order is 7, and the number of the fully configured measuring points is 5:
the measurement system convolution kernel h corresponding to 5 measuring points in fig. 3 i I=1, 2, …,5, expressed as:
wherein, gamma i ,The ratio of the chord reference divided by the measuring point i is shown.
Fig. 4 illustrates a multi-point chord measurement flow of a wheel polygon, wherein a measurement matrix of the multi-point chord measurement system is constructed by taking the wheel polygon in the circumferential direction as a measurement object, an intermediate measurement result, namely a multi-deformation chord measurement value of the wheel is obtained, the intermediate measurement result is used as an input of a reverse system (inversion model) of the measurement system, a final measurement result is obtained through processing by an inversion model operator, and a wheel polygon restoration waveform is output.
Taking the configuration of the multi-point chord measurement as an example in fig. 3, the multi-point chord system measurement model can be regarded as an independent combination of the measurement processes of the measurement points { #1, #2, #3, #4, #5}, and the measurement system corresponding to the measurement point i convolves the kernel h i The single-measuring point measuring matrix H is formed by the formula (2) i The system of measurement equations associated with station i can be expressed as:
H i ·Z=G(i),i=1,2,…,5 (4)
wherein H is i For the measurement matrix of the measurement point i, Z is a polygonal column vector of the wheel, G (i) is an i-row matrix of the chord measurement value matrix G, and the i-row matrix can be expressed as:
Z=[z 0 ,z 1 ,…,z N-1 ] T (6)
G(i)=[g i,0 ,g i,1 ,…,g i,N-n-1 ] T (7)
wherein, gamma is the proportion of the length of the right side of the ith measuring point to the chord reference length L,the length of the left side of the ith measuring point is the ratio of the length of the left side of the ith measuring point to the chord reference length; n is the number of discrete points of the total length of the measured object according to the sampling interval delta s; n is the order of the chord reference;
next, the global optimization model is converted into a combined optimization model, expressed as:
where Z represents the optimization objective function.
Solution Z of inversion model of multi-point chord system * Can be expressed as:
then the inversion model operator of the multi-point chord measurement system of figure 4The method comprises the following steps:
further, in S103, according to the measuring point position k, constructing a corresponding inversion model operator by the formula (10)
Further, in step S104, from the gap sensor data of the wheel polygon measuring apparatus of fig. 5, a set of all the measurement point chord measurements carried by the chord reference, that is, the wheel polygon chord measurement G,
further, inversion model operator based on wheel polygon chord measurement systemChord measurement value G, taking the chord measurement value G of the polygon of the wheel as the input of an inversion model, and performing inversion model operator +.>Processing to obtain a final measurement result, and outputting a wheel polygon recovery waveform to obtain the final measurement result of the wheel polygon:
example 2
As shown in fig. 7, fig. 7 shows measured data of a 9-step wheel polygon of a certain motor train unit, and the measured data is used as a measurement target of the measuring apparatus of fig. 4. The chord reference basic configuration includes a chord length of 30cm, a sampling interval of 1mm, and 2 measurement positions, as shown in fig. 8.
Convolution kernel h corresponding to measuring system of measuring point #1 1 :
In the formula, the position of the element 1 is 101, and other elements are 0.
Convolution kernel h corresponding to measuring point #2 measuring system 2 :
In the formula, the position of the element 1 is 150, and other elements are 0.
Next, a measurement matrix H is constructed according to equations (5) and (8).
Based on chordsTaking wheel polygon measurement as an example around the rotation of the wheel, fig. 9 is a schematic diagram showing the measurement of the chord reference at a certain position of the wheel, in which only the calculation of the chord measurement value of the measurement point 1# is illustrated, the sensor 1# and the chord reference o 1 Expressed as a=10 cm from the chord reference o 2 The spacing of (2) is expressed as b=20 cm. The chord measurement g in the figure is calculated as follows:
wherein s is 1 The distance between the 1# measuring point position sensor and the tread of the wheel is set; s is(s) o1 For chord reference end o 1 Distance from the tread of the wheel; s is(s) o2 For chord reference end o 2 Distance from the tread of the wheel.
Of particular note, the gap sensor mounting angle is perpendicular to the chord reference.
String datumThe final measurement result is compared with the original waveform after one turn around the wheel, as shown in fig. 10, the two-point chord measurement result can accurately identify the order of the polygon of the wheel, and only the deviation in amplitude exists, and the deviation can be restrained by increasing the number of measuring points, for example, the number of measuring points is increased to 5, until the measurement result meets the measurement accuracy requirement.
Example 3
Based on the same inventive concept as the above method embodiment, the present application further provides a wheel polygon measurement system based on a multipoint chord measurement method, for implementing the wheel polygon measurement method based on the multipoint chord measurement method described in the above embodiment, as shown in fig. 6 and 11, where the measurement system specifically includes:
the sensing layer layout module 110: taking the polygon in the circumferential direction of the wheel as a measuring object of the multipoint chord measuring system, and carrying a gap sensor to sense the distance from the tread of the wheel;
the data acquisition card module 120: the wheel tread is closely attached to the encoder, the wheel rotates to drive the encoder which is closely attached to the wheel tread to synchronously rotate, and the encoder triggers the data acquisition card to record the gap value of the gap sensor of the multipoint chord measurement system;
the data transmission module 130: transmitting the data acquired by the gap sensor to an upper computer through wireless transmission or wire by adopting a udp/tcp protocol;
the data post-processing module 140: and processing data acquired by the gap sensor based on a multipoint chord measurement method and outputting a complete waveform of the polygon of the wheel.
The wheel polygon measurement method based on the multipoint chord measurement method comprises the following steps of:
determining basic configuration of a multipoint chord system, wherein the basic configuration comprises a chord reference length L, a sampling interval delta s, an order n and a measuring point position k;
constructing a measuring matrix H of the multipoint chord measuring system according to the measuring point positions;
inversion model operator for constructing multipoint chord measurement system
Calculating a wheel polygon chord measurement value G according to the gap sensor data of the wheel polygon multipoint chord measurement system;
and outputting the polygonal wheel restoration waveform.
Based on the same inventive concept as the above method embodiment, the present application further provides an electronic device, as shown in fig. 12, including: a processor 210; and a memory 220 for storing one or more programs;
the one or more programs, when executed by the processor 210, cause the processor to perform the wheel polygon measurement method.
The wheel polygon measurement method comprises the following steps:
determining basic configuration of a multipoint chord system, wherein the basic configuration comprises a chord reference length L, a sampling interval delta s, an order n and a measuring point position k;
constructing a measuring matrix H of the multipoint chord measuring system according to the measuring point positions;
inversion model operator for constructing multipoint chord measurement system
Calculating a wheel polygon chord measurement value G according to the gap sensor data of the wheel polygon multipoint chord measurement system;
and outputting the polygonal wheel restoration waveform.
Based on the same inventive concept as the above-described method embodiments, the present application also provides a computer-readable storage medium having stored thereon a computer program which, when executed by the processor 210, implements the wheel polygon measurement method.
The wheel polygon measurement method comprises the following steps:
determining basic configuration of a multipoint chord system, wherein the basic configuration comprises a chord reference length L, a sampling interval delta s, an order n and a measuring point position k;
constructing a measuring matrix H of the multipoint chord measuring system according to the measuring point positions;
inversion model operator for constructing multipoint chord measurement system
Calculating a wheel polygon chord measurement value G according to the gap sensor data of the wheel polygon multipoint chord measurement system;
and outputting the polygonal wheel restoration waveform.
The method can simultaneously meet the requirements of static measurement or dynamic measurement of the wheel polygon, and completely measures the wheel polygon waveform for the first time by adopting the multipoint chord measurement principle, wherein the polygon waveform comprises a polygon order, a polygon wavelength and a polygon amplitude; the measuring efficiency is high, the stability is good, the repeatability is good, the external environment vibration interference is resisted, and the environmental adaptability is good.
Although the present application has been described with reference to the foregoing embodiments, it will be apparent to those skilled in the art that modifications may be made to the embodiments described, or equivalents may be substituted for elements thereof, and any modifications, equivalents, improvements and changes may be made without departing from the spirit and principles of the present application.

Claims (8)

1. The wheel polygon measurement method based on the multipoint chord measurement method is characterized by comprising the following steps of:
s101, determining basic configuration of a multipoint chord system, wherein the basic configuration comprises a chord reference length L, a sampling interval delta S, an order n and a measuring point position k;
s102, constructing a measuring matrix H of the multipoint chord measuring system according to the measuring point positions;
s103, constructing an inversion model operator of the multipoint chord measurement system
S104, calculating a wheel polygon chord measurement value G according to the gap sensor data of the wheel polygon multipoint chord measurement system;
s105, outputting a polygonal wheel restoration waveform.
2. The method for measuring the polygon of the wheel based on the multipoint chord measurement method according to claim 1, wherein the method comprises the following steps: in step S102, the chord reference length L is divided according to the sampling interval Δs to obtain the number n-1 of measuring points, where the i-th measuring point divides the chord reference length L by two parts, the length of the left side of the i-th measuring point is i×Δs, the length of the right side of the i-th measuring point is (n-i) ×Δs, and the measuring matrix H corresponding to the i-th measuring point i The expression is as follows:
according to the positions of all the measuring points, a measuring matrix H of a multi-point chord measuring system is constructed, and the measuring matrix H of the multi-point chord measuring system is expressed as follows:
3. the method for measuring the polygon of the wheel based on the multipoint chord measurement method according to claim 1, wherein the method comprises the following steps: in step S103, constructing a multi-point chord measurement system inversion model operator according to the measurement point position kThe formula is expressed as follows:
4. the method for measuring the polygon of the wheel based on the multipoint chord measurement method according to claim 1, wherein the method comprises the following steps: in step S104, according to the gap sensor data of the wheel polygon multipoint chord measurement system, an i-th chord measurement value G (i) corresponding to the wheel polygon chord measurement value is calculated, and the formula is expressed as follows:
H i ·Z=G(i);
Z=[z 0 ,z 1 ,…,z N-1 ] T
wherein Z is the original waveform of the polygon of the wheel, the waveform is scattered according to the sampling interval deltas, the length is N, and the amplitude of each scattered point is denoted as Z j The method comprises the steps of carrying out a first treatment on the surface of the T represents matrix transposition operation;
the set of chord measurement values of all measuring points carried by the chord reference, namely the formula of the chord measurement value G of the polygon of the wheel is expressed as follows:
5. multipoint chord-based measurement according to claim 1The method for measuring the polygon of the wheel is characterized by comprising the following steps of: in step S105, the measured value G of the polygon chord of the wheel is used as the input of the inversion model and is subjected to an inversion model operatorProcessing to obtain a final measurement result, outputting a polygonal recovery waveform of the wheel, and expressing the following formula:
wherein Z is * Is a recovery waveform of the polygon of the wheel.
6. A measuring system of a wheel polygon measuring method based on a multipoint chord measuring method according to any of claims 1-5, characterized in that: the measurement system includes:
a sensing layer layout module (110): taking the polygon in the circumferential direction of the wheel as a measuring object of the multipoint chord measuring system, and carrying a gap sensor to sense the distance from the tread of the wheel;
data acquisition card module (120): the wheel tread is closely attached to the encoder, the wheel rotates to drive the encoder which is closely attached to the wheel tread to synchronously rotate, and the encoder triggers the data acquisition card to record the gap value of the gap sensor of the multipoint chord measurement system;
a data transmission module (130): transmitting the data acquired by the gap sensor to an upper computer through wireless transmission or wire by adopting a udp/tcp protocol;
data post-processing module (140): and processing data acquired by the gap sensor based on a multipoint chord measurement method and outputting a complete waveform of the polygon of the wheel.
7. An electronic device, characterized in that: the electronic device includes: a processor (210); and a memory (220) for storing one or more programs;
the one or more programs, when executed by a processor (210), cause the processor to perform the wheel polygon measurement method of any of claims 1-5.
8. A computer-readable storage medium, characterized by: a computer program stored thereon, which, when executed by a processor (210), implements the wheel polygon measurement method according to any one of claims 1-5.
CN202310784467.9A 2023-06-29 2023-06-29 Wheel polygon measurement method and system based on multipoint chord measurement method and storage medium Pending CN116907330A (en)

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