CN107117188A - The vertically arranged tramcar wheel footpath on-line measuring device of linear sensor and method - Google Patents

The vertically arranged tramcar wheel footpath on-line measuring device of linear sensor and method Download PDF

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CN107117188A
CN107117188A CN201710266736.7A CN201710266736A CN107117188A CN 107117188 A CN107117188 A CN 107117188A CN 201710266736 A CN201710266736 A CN 201710266736A CN 107117188 A CN107117188 A CN 107117188A
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mrow
msub
laser displacement
wheel
displacement sensor
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CN107117188B (en
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曹康
邢宗义
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Nanjing University of Science and Technology
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Nanjing University of Science and Technology
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    • BPERFORMING OPERATIONS; TRANSPORTING
    • B61RAILWAYS
    • B61KAUXILIARY EQUIPMENT SPECIALLY ADAPTED FOR RAILWAYS, NOT OTHERWISE PROVIDED FOR
    • B61K9/00Railway 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
    • B61K9/12Measuring or surveying wheel-rims
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01BMEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
    • G01B11/00Measuring arrangements characterised by the use of optical techniques
    • G01B11/08Measuring arrangements characterised by the use of optical techniques for measuring diameters
    • G01B11/10Measuring arrangements characterised by the use of optical techniques for measuring diameters of objects while moving

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  • General Physics & Mathematics (AREA)
  • Engineering & Computer Science (AREA)
  • Mechanical Engineering (AREA)
  • Length Measuring Devices By Optical Means (AREA)

Abstract

The invention discloses a kind of vertically arranged tramcar wheel footpath on-line measuring device of linear sensor and method.The device includes groove-shape rail, processing center and multiple laser displacement sensors, wherein laser displacement sensor is connected with processing center, groove-shape rail is a rail for reservation groove part, laser displacement sensor is laid successively on the outside of groove-shape rail, sensing is evenly distributed in the same horizontal line, measured upwards along groove-shape rail, detection light beam reaches wheel and coplanar with circumference where wheel diameter simultaneously.Method is:Laser displacement sensor detecting wheel obtains measurement point, carry out data fusion, initial fitting diameter of a circle and the center of circle of multigroup wheel are obtained with least square fitting method afterwards, then genetic Optimization Algorithm is designed, the distance of measurement point to fitting circle is regard as evolution target with minimum, evolution draws optimal fitting diameter of a circle and the center of circle, finally gives the wheel diameter after optimization.Speed of the present invention is fast, precision is high, measurement diameter range is big, strong interference immunity.

Description

The vertically arranged tramcar wheel footpath on-line measuring device of linear sensor and method
Technical field
The present invention relates to tramcar wheel detection technical field, particularly a kind of vertically arranged rail of linear sensor Electric car wheel footpath on-line measuring device and method.
Background technology
Tramcar wheel is the important part that support vehicles are advanced, and the whole that carry tramcar is quiet, dynamic loading. Wheel constantly rubs in long-term operation with track, can produce different degrees of abrasion, and then change the diameter parameters of wheel. When electric car is run, if the same diameter of axle of wheel is poor, unit-frame footpath is poor, exceed certain limit with swing over compound rest difference, wheel wiping is easily caused The phenomenons such as wound, flange wear, body oscillating exception, even result in the accidents such as electric car axle fracture, rollover, derailing.Therefore, in time Effective detection goes out the poor abnormal conditions in wheel footpath, to ensureing that the safe operation of tramcar is significant.
Firstly, since there is the shelters such as pilot, blast tube magnetic rail brake device near tramcar wheel, next rail Electric car wheel in operation wheel rim almost 100% ground connection and can be with load-bearing so that common diameter measuring method can not be fitted completely For tramcar.The method of tramcar wheel diameter detection can be largely classified into Static Detection and dynamic detection.At present, have The wheel diameter measurement of rail electric car uses static detection method substantially, and this method has the advantages that precision is high.But need to throw Enter substantial amounts of manpower and use special detection device, have the shortcomings that cost height, turnaround time length, labor intensity are big.
Conventional dynamic detection mainly uses image processing techniques or laser sensing technology.(the online tramcar car of patent 1 Wheel diameter measuring method, application number:201510657099.7, the applying date:2015-10-13) disclose a kind of based on image procossing The tramcar wheel diameter detection method of technology, this method obtains image using high speed camera, by setting imaging modules, directly Connect measurement tramcar wheel diameter, but this method exist precision it is low, it is cumbersome the shortcomings of.At present, the country not yet discloses base In laser sensing technology tramcar wheel diameter detection means or the patent of method.(linear sensor is vertically arranged for patent 2 Wheel diameter of urban rail vehicle detection means and method, application number:201310558085.0, the applying date:2013-11-11) disclose It is a kind of that laser sensor is arranged between the vacated region of rail skew and guard rail, non-contact detecting wheel for metro vehicle diameter Method, but this method is due to setting guard rail, if using this method, it is necessary to reset rail layout on lines of operation are stablized, Almost it is difficult to realize, this method is not suitable for the wheel diameter measurement of tramcar.A kind of (the municipal rail train wheelset profile of patent 3 Online test method and device, application number:201410519742.5, the applying date:2014-09-30) disclose a kind of based on two dimension The ground iron tyre of laser displacement sensor technology is fitted wheel rim apex circles to parameter detection method and device, this method by 3 points, 2 times of high methods of wheel rim are subtracted again, realize the detection of iron tyre diameter over the ground, but because tramcar wheel rim almost 100% is grounded And can be with load-bearing, it is impossible to this characteristic point of wheel rim summit is extracted, this method can not also be applied to tramcar.
The content of the invention
It is an object of the invention to provide the linear sensor that a kind of speed is fast, precision is high, measurement diameter range is big is vertical The tramcar wheel footpath on-line measuring device and method of installation, realize on line non contact measurement and enhancing antijamming capability.
The technical solution for realizing the object of the invention is:A kind of vertically arranged tramcar wheel footpath of linear sensor exists Line detector, including groove-shape rail, processing center and multiple laser displacement sensors, wherein:Laser displacement sensor and place Reason center is connected;Groove-shape rail is a rail for reservation groove part;Multiple laser displacements are sequentially arranged on the outside of groove-shape rail to pass Sensor;The sensing head of each laser displacement sensor is evenly distributed in the same horizontal line along groove-shape rail direction, and each along groove Shaped steel rail is measured upwards, and detection light beam is incident to wheel edge simultaneously, and detects plane and wheel diameter institute that light beam is formed Circumference it is coplanar.
In a kind of vertically arranged tramcar wheel footpath online test method of linear sensor, including groove-shape rail, processing The heart and multiple laser displacement sensors, wherein:Laser displacement sensor is connected with processing center;Groove-shape rail is only reservation groove Partial rail;Multiple laser displacement sensors are sequentially arranged on the outside of groove-shape rail;The sensing head edge of each laser displacement sensor Groove-shape rail direction is evenly distributed in the same horizontal line, and is measured upwards each along groove-shape rail, and detection light beam is simultaneously incident To wheel edge, and the circumference where the plane that is formed of detection light beam and wheel diameter is coplanar, comprises the following steps that:
Step 1, laser displacement sensor is designated as Qi, being followed successively by 1,2,3 along rail direction i ..., n, wherein n are laser The number of displacement transducer;
Step 2, two-dimensional coordinate system XOY is set up in the plane in the tramcar wheel circumference for carrying out diameter measurement:With Outermost laser displacement sensor Q1It is X-axis along rail direction for origin, is Y-axis upwards perpendicular to groove-shape rail, outermost swashs The coordinate of Optical displacement sensor is (0,0), and the coordinate of other laser displacement sensors is (Xi, 0), laser displacement sensor sensing Head is 90 ° relative to X-axis mounted angle;
Step 3, it is each laser displacement sensor QiSet up two-dimensional coordinate system xioiyi, to be passed by respective laser displacement Sensor QiSensing head is origin, is x-axis along rail direction, is y-axis upwards perpendicular to groove-shape rail, now laser displacement sensor QiThe two-dimensional coordinate system x of foundationioiyiThe coordinate system set up for laser displacement sensor itself;Gather all laser displacement sensings The output valve of device, and select while there is the valid data group (x of 10 and above laser displacement sensor output valveij,yij), (xij,yij) it is i-th of laser displacement sensor QiJ-th of the virtual value returned, in laser displacement sensor QiTwo set up Dimension coordinate system xioiyiUnder coordinate;Wherein, i=1,2 ... n, j=1,2 ... m, and m >=10;
Step 4, data fusion:According to laser displacement sensor QiMeasurement point in respective two-dimensional coordinate system xioiyiIt is lower to sit Mark (xij,yij), laser displacement sensor QiPosition coordinate value (Xi, 0), determine correspondence laser displacement sensor Q on wheeliSurvey Amount point coordinate (X under fusion coordinate system XOYij,Yij):
(Xij,Yij)=(Xi,0)+(xij,yij)
Wherein, i=1,2 ... n, j=1,2 ... m and m >=10;
Step 5, according to all effective measurement point coordinates (X on wheelij,Yij), circle is fitted using least square method, Obtain the wheel initial diameter D of the measurement position0With initial central coordinate of circle (Xa,Ya);
Step 6, wheel initial diameter D step 5 obtained0With initial central coordinate of circle (Xa,Ya), in [Xa-0.1,Xa+ 0.1]、[Ya-0.1,Ya+ 0.1] w groups combined value is taken in scope as initial population, with all effective measurement points to fitting circle Apart from the minimum evolution target of sum, using genetic Optimization Algorithm, initial wheel wheel footpath parameter is optimized, optimized Final wheel diameter D afterwards1With central coordinate of circle (Xb,Yb);
Step 7,3 moment of selecting step t eve and the detection data at rear a moment, repeat step 3~6 calculates two Group wheel footpath value D2、D3, three groups of wheel footpaths are averaged, the wheel footpath D of final wheel is obtainedf
Compared with prior art, its remarkable advantage is the present invention:(1) the detection system based on two-dimensional laser displacement transducer System, realizes tramcar wheel to non-contact measurement, with speed is fast, effective measurement point is more, laser displacement sensor mark Easily, the big advantage of measurement diameter range;(2) the detection data processing method based on genetic Optimization Algorithm is employed, it is to avoid Simple least square method produces the shortcoming of deviation because of noise spot to fitting circle, has the advantages that measurement accuracy is high, anti-interference strong; (3) groove-shape rail is used, is easy to the installation and measurement of laser displacement sensor;
Brief description of the drawings
Fig. 1 is the flow chart of the vertically arranged tramcar wheel footpath online test method of inventive sensor straight line.
Fig. 2 is tramcar wheel tread schematic diagram.
Fig. 3 is the structural representation of groove-shape rail, wherein (a) is 60R groove-shape rail structure charts, (b) is treated Groove-shape rail structure chart.
Fig. 4 is the device top view of the tramcar wheel diameter on-line checking of the present invention.
Fig. 5 is the device front view of the tramcar wheel diameter on-line checking of the present invention.
Fig. 6 is the device side view of the tramcar wheel diameter on-line checking of the present invention.
Fig. 7 is the device axonometric drawing of the tramcar wheel diameter on-line checking of the present invention.
Fig. 8 is each laser displacement sensor measurement point distribution situation in fitting circle for generating at random in embodiment.
Fig. 9 is each laser displacement sensor measurement point for generating at random in the fitting circle after genetic optimization point in embodiment Cloth situation.
Figure 10 is the every optimum individual distribution map in generation during genetic Optimization Algorithm in embodiment.
Figure 11 is the Species structure figure in last generation during genetic Optimization Algorithm in embodiment.
Figure 12 is often to convert tendency chart for optimal solution during genetic Optimization Algorithm in embodiment.
Figure 13 is optimum diameter conversion tendency chart during genetic Optimization Algorithm in embodiment.
Embodiment
Below in conjunction with the accompanying drawings and specific embodiment is described in further detail to the present invention.
Fig. 1 is the overall flow figure of specific method of the present invention.
Tramcar wheel tread schematic diagram is indicated in Fig. 2, it can be seen that surveyed in wheel rim at reference plane 57mm Point on tread, to wear away at concentration, is the measurement diameter position commonly used in engineering at this, and wheel diameter is often controlled Between 520-600mm, therefore laser displacement sensor chooses the circumference at this to calculate wheel diameter when being detected.
The vertically arranged tramcar wheel footpath on-line measuring device of inventive sensor straight line, including groove-shape rail, processing Center and multiple laser displacement sensors, wherein:Laser displacement sensor is connected with processing center;In the track of detection interval section For the groove-shape rail Jing Guo specially treated, only retain the rail of groove part;In the outer of the groove-shape rail along train direction of advance Side, is sequentially arranged multiple laser displacement sensors;The sensing head of each laser displacement sensor is evenly distributed along groove-shape rail direction In the same horizontal line, the sensing head of each laser displacement sensor is measured upwards each along vertical rail direction, and detection light beam is same When be incident to wheel edge, and the circumference where the plane that is formed of detection light beam and wheel diameter is coplanar.
Such as Fig. 3 (a), shown in Fig. 3 (b), detection interval section track is the groove-shape rail Jing Guo specially treated, groove-shape rail Model 60R, and only retain groove part.
As shown in Fig. 2 the wheel circumference of progress diameter measurement is 57mm apart from the distance of wheel rim medial surface.Described Laser displacement sensor is two-dimensional laser displacement transducer, and the quantity of laser displacement sensor is n, and 2≤n≤10;Detection zone Between the horizontal line length of section be L, and n × 50mm≤L≤1200mm.
As shown in figure 4, laser displacement sensor is installed on the outside of groove-shape rail, and it is evenly arranged in same horizontal line On, laser displacement sensor mount point is h, and 160mm≤h≤290mm along the vertical range of plane on groove-shape rail.Institute The sensing head of laser displacement sensor is stated along groove-shape rail right angle setting, the detection light beam sent and circle where wheel diameter It is week, i.e., coplanar away from the circumference where the point at reference plane 57mm on tread is surveyed in wheel rim, and the sense of all laser displacement sensors Gauge head is fixed on below wheel by laser displacement sensor fixture.
With reference to Fig. 1, the vertically arranged tramcar wheel footpath online test method of inventive sensor straight line, including U-steel Rail, processing center and multiple laser displacement sensors, wherein:Laser displacement sensor is connected with processing center;Groove-shape rail is Only retain the rail of groove part;Multiple laser displacement sensors are sequentially arranged on the outside of groove-shape rail;Each laser displacement sensor Sensing head it is evenly distributed in the same horizontal line along groove-shape rail direction, and measured upwards each along groove-shape rail, detect light Beam is incident to wheel edge simultaneously, and the circumference where the plane that is formed of detection light beam and wheel diameter is coplanar, specific steps It is as follows:
Step 1, each laser displacement sensor is installed on to the outside of the groove-shape rail by specially treated, makes each laser The sensing head of displacement transducer is arranged along rail direction, all laser displacement sensors and the tramcar of progress diameter measurement Wheel circumference it is coplanar, laser displacement sensor is designated as Qi, being followed successively by 1,2,3 along rail direction i ..., n, wherein n are sharp The number of Optical displacement sensor;
Step 2, two-dimensional coordinate system XOY is set up in the plane in the tramcar wheel circumference for carrying out diameter measurement:With Outermost laser displacement sensor Q1It is X-axis along rail direction for origin, is Y-axis upwards perpendicular to groove-shape rail, then outermost The coordinate of laser displacement sensor is (0,0), and the coordinate of other laser displacement sensors is (Xi, 0), each laser displacement sensing Device sensing head is upward perpendicular to rail, therefore laser displacement sensor sensing head is 90 ° relative to X-axis mounted angle;
Step 3, it is each laser displacement sensor QiSet up two-dimensional coordinate system xioiyi, to be passed by respective laser displacement Sensor QiSensing head is origin, is x-axis along rail direction, is y-axis upwards perpendicular to groove-shape rail, now laser displacement sensor QiSet up two-dimensional coordinate system xioiyiThe coordinate system set up for laser displacement sensor itself.Gather all laser displacement sensors Output valve, and select while there is the valid data group (x of 10 and above laser displacement sensor output valveij,yij), (xij, yij) it is i-th of laser displacement sensor QiJ-th of the virtual value returned, in laser displacement sensor QiThe two dimension seat set up Mark system xioiyiUnder coordinate;Wherein, i=1,2 ... n, j=1,2 ... m, and m >=10;
Step 4, data fusion:According to laser displacement sensor QiMeasurement point in respective two-dimensional coordinate system xioiyiIt is lower to sit Mark (xij,yij), laser displacement sensor QiPosition coordinate value (Xi, 0), determine correspondence laser displacement sensor Q on wheeliSurvey Amount point coordinate (X under fusion coordinate system XOYij,Yij):
(Xij,Yij)=(Xi,0)+(xij,yij)
Wherein, i=1,2 ... n, j=1,2 ... m and m >=10;
Step 5, according to all effective measurement point coordinates (X on wheelij,Yij), circle is fitted using least square method, Obtain the wheel initial diameter D of the measurement position0With initial central coordinate of circle (Xa,Ya);
It is described according to all effective measurement point coordinates (X on wheelij,Yij), circle is fitted using least square method, most The formula of small square law is as follows:
Wherein, i=1,2 ... n, j=1,2 ... m and m >=10, a=-2Xa, XaFor the center of circle abscissa after fitting, b=- 2Yb, YbFor the center of circle ordinate after fitting;
Wherein C, D, E, G, H are intermediate parameters, as follows respectively:
D=λ ∑s XijYij-∑Xij∑Yij
Wherein, λ is the number of the effective measurement point of all the sensors, i=1,2 ..., n, j=1,2 ... m and m >=10..
Step 6, wheel initial diameter D step 5 obtained0With initial central coordinate of circle (Xa,Ya), in [Xa-0.1,Xa+ 0.1]、[Ya-0.1,Ya+ 0.1] w groups combined value is taken in scope as initial population, with all effective measurement points to fitting circle Apart from the minimum evolution target of sum, using genetic Optimization Algorithm, initial wheel wheel footpath parameter is optimized, optimized Final wheel diameter D afterwards1With central coordinate of circle (Xb,Yb);
Described genetic Optimization Algorithm, with all effective measurement points to fitting circle apart from the minimum evolution mesh of sum F Mark, formula is as follows:
Wherein, i=1,2 ..., n, j=1,2 ... m and m >=10, k=1,2 ... w, w is Population Size, | XkYkDk| to plant Group's individual, using binary coding, | XkYkDk| value is in wheel initial diameter D0With initial central coordinate of circle (X0,Y0) place [X0- 0.1,X0+0.1]、[Ya-0.1,Ya+ 0.1] value in scope;
The parameter setting of genetic algorithm is as follows:Population Size is w;Maximum legacy algebraically is MaxGen;Individual lengths are ILength;Generation gap is Pg;Crossover probability is Px;Mutation probability is Pm
Step 7,3 moment of selecting step t eve and the detection data at rear a moment, repeat step 3~6, are calculated another Outer two groups of wheel footpath values D2、D3, three groups of wheel footpaths are averaged, the wheel footpath D of final wheel is obtainedf
Embodiment 1
The present embodiment is examined online for one kind based on the vertically arranged tramcar wheel diameter of laser displacement sensor straight line The device and method of survey.
As illustrated in figs. 5-7, the sensing head of n laser displacement sensor arranged along rail direction and it is uniform on a horizontal, The installation parameter of laser displacement sensor meets following condition:Each laser displacement sensor senses head and hung down relative to X-axis straight line It is straight to install.In this example, mounted angle is α=90 °, and the number n of laser displacement sensor is between 3, adjacent laser displacement transducer Every 200mm, mount point to the vertical range of rail of laser displacement sensor is that h is 200mm.Passed so as to obtain each laser displacement Coordinate (the X of sensori,Yi) (unit:mm):
Xi=200* (i-1) i=1,2,3;
Yi=0i=1,2,3;
Wherein i represents i-th of laser displacement sensor;
If the sampling period of laser displacement sensor is 0.5kHz, a diameter of 544 quilt is randomly generated by computer simulation Measuring car wheel measurement data (Xij,Yij)。
Final laser displacement sensor Q1Measurement point fusion coordinate system XOY under coordinate it is as follows:Abscissa matrix:X1= [201.3489 186.7294 172.2681 158.0566 145.0149 131.6865 118.0375 107.2542 93.91244 82.52926 73.57641 62.56952 53.1939 45.26009 36.17635];Ordinate matrix:Y1 =[208.4576 213.0904 217.8459 223.8979 230.5616 238.0279 246.7732 255.7271 265.6993 275.6047 286.8786 297.8265 310.0222 322.293 335.3163]。
Laser displacement sensor Q2Measurement point fusion coordinate system under coordinate it is as follows:Abscissa matrix:X2= [328.1989 319.8163 310.3478 302.3568 293.6805 284.3252 276.383 266.7922 258.7333 249.8005 242.3622 233.0849 223.7151 215.2364 207.182 198.8118 189.7185 181.2543 174.6401 165.8067];Ordinate matrix:Y2=[205.0539 203.4502 202.5435 201.0798 200.5266 199.7147 199.9562 199.6908 199.5697 200.6655 201.3891 202.602 203.6541 205.0088 207.7211 209.714 211.9953 214.9793 217.4789 221.4082]。
Laser displacement sensor Q3Measurement point fusion coordinate system under coordinate it is as follows:Abscissa matrix:X3= [508.3231 498.812 487.7089 476.5518 464.4504 452.6425 439.4037 425.026 410.457 396.4184 378.9176 363.6095 347.7529 330.5451 312.1925 295.1408];It is vertical to sit Mark matrix:Y3=[335.5346 320.7867 306.8936 292.907 280.586 268.4782 256.9959 247.1184 237.5012 229.4443 222.0795 215.7121 210.0711 205.9629 203.0264 200.832]。
Above-mentioned all measurement points are fitted using least square method, obtain being fitted Circle Parameters:Initial diameter D0= 543.647 with initial central coordinate of circle (X0,Y0)=(272.844,471.356), wherein all measurement points to fitting circle distance and F0=16.1641, each laser displacement sensor measurement point distribution situation in fitting circle generated at random is as shown in Figure 8.
Parameter is optimized to taking turns underneath with genetic Optimization Algorithm, the parameter setting of genetic algorithm is as follows:Population is big Small is w=40;Maximum legacy algebraically is MaxGen=200;Individual lengths are ILength=60 (3 independents variable, Mei Gechang 20);Generation gap is Pg=0.95;Crossover probability is Px=0.7;Mutation probability is Pm=0.01.
|XkYkDk| it is population at individual, using binary coding, its span is:D0±1.0、(X0±0.5,Y0± 0.5), the target of evolution is all measurement points to distance in fitting circle and minimum:
Fitting Circle Parameters after optimization are:
Diameter D1=543.379, central coordinate of circle (X1,Y1)=(271.689,471.176), wherein all measurement points to intend Close the distance and F of circle0=15.8345, each laser displacement sensor measurement point generated at random is in genetic algorithm optimization fitting circle Upper distribution situation is as shown in Figure 9.
The simulation result wherein optimized is shown in Figure 10-13.
Finally separately take two groups of data to be fitted and optimize, D can be obtained2=543.239, D3=543.451, to three groups of diameters Average to obtain Df=543.356.
In summary, the vertically arranged tramcar wheel footpath on-line measuring device of inventive sensor straight line and method, lead to The algorithm of least square fitting is crossed, and wheel wheel footpath parameter is optimized using genetic Optimization Algorithm, with speed is fast, precision High, measurement diameter range is big, on line non contact measurement, anti-interference strong advantage.

Claims (9)

1. a kind of vertically arranged tramcar wheel footpath on-line measuring device of linear sensor, it is characterised in that including U-steel Rail, processing center and multiple laser displacement sensors, wherein:Laser displacement sensor is connected with processing center;Groove-shape rail is Only retain the rail of groove part;Multiple laser displacement sensors are sequentially arranged on the outside of groove-shape rail;Each laser displacement sensor Sensing head it is evenly distributed in the same horizontal line along groove-shape rail direction, and measured upwards each along groove-shape rail, detect light Beam is incident to wheel edge simultaneously, and the circumference where the plane that is formed of detection light beam and wheel diameter is coplanar.
2. the vertically arranged tramcar wheel footpath on-line measuring device of linear sensor according to claim 1, its feature It is, the model 60R of the groove-shape rail, and only retains groove part.
3. the vertically arranged tramcar wheel footpath on-line measuring device of linear sensor according to claim 1, its feature Be, carry out diameter measurement wheel circumference apart from wheel rim medial surface distance be 57mm.
4. the vertically arranged tramcar wheel footpath on-line measuring device of linear sensor according to claim 1, its feature It is, described laser displacement sensor is two-dimensional laser displacement transducer, the quantity of laser displacement sensor is n, and 2≤n ≤10;The horizontal line length of detection interval section is L, and n × 50mm≤L≤1200mm.
5. the vertically arranged tramcar wheel footpath on-line measuring device of linear sensor according to claim 1, its feature Be, the laser displacement sensor be arranged on groove-shape rail on the outside of, and it is evenly distributed in the same horizontal line, laser displacement pass Sensor mount point is h, and 160mm≤h≤290mm along the vertical range of plane on groove-shape rail.
6. the vertically arranged tramcar wheel footpath on-line measuring device of linear sensor according to claim 1, its feature It is, the sensing head of the laser displacement sensor is along groove-shape rail right angle setting, the detection light beam and wheel diameter sent Place circumference, i.e., it is coplanar away from the circumference where the point at reference plane 57mm on tread is surveyed in wheel rim, and all laser displacements sensing The sensing head of device is fixed on below wheel by laser displacement sensor fixture.
7. a kind of vertically arranged tramcar wheel footpath online test method of linear sensor, it is characterised in that including U-steel Rail, processing center and multiple laser displacement sensors, wherein:Laser displacement sensor is connected with processing center;Groove-shape rail is Only retain the rail of groove part;Multiple laser displacement sensors are sequentially arranged on the outside of groove-shape rail;Each laser displacement sensor Sensing head it is evenly distributed in the same horizontal line along groove-shape rail direction, and measured upwards each along groove-shape rail, detect light Beam is incident to wheel edge simultaneously, and the circumference where the plane that is formed of detection light beam and wheel diameter is coplanar, specific steps It is as follows:
Step 1, laser displacement sensor is designated as Qi, being followed successively by 1,2,3 along rail direction i ..., n, wherein n are laser displacement The number of sensor;
Step 2, two-dimensional coordinate system XOY is set up in the plane in the tramcar wheel circumference for carrying out diameter measurement:With outermost Side laser displacement sensor Q1It is X-axis along rail direction for origin, is Y-axis, outermost laser position upwards perpendicular to groove-shape rail The coordinate of displacement sensor is (0,0), and the coordinate of other laser displacement sensors is (Xi, 0), laser displacement sensor sensing head phase It it is 90 ° for X-axis mounted angle;
Step 3, it is each laser displacement sensor QiSet up two-dimensional coordinate system xioiyi, to pass through respective laser displacement sensor Qi Sensing head is origin, is x-axis along rail direction, is y-axis upwards perpendicular to groove-shape rail, now laser displacement sensor QiSet up Two-dimensional coordinate system xioiyiThe coordinate system set up for laser displacement sensor itself;Gather the defeated of all laser displacement sensors Go out value, and select while there is the valid data group (x of 10 and above laser displacement sensor output valveij,yij), (xij,yij) be I-th of laser displacement sensor QiJ-th of the virtual value returned, in laser displacement sensor QiThe two-dimensional coordinate system set up xioiyiUnder coordinate;Wherein, i=1,2 ... n, j=1,2 ... m, and m >=10;
Step 4, data fusion:According to laser displacement sensor QiMeasurement point in respective two-dimensional coordinate system xioiyiLower coordinate (xij,yij), laser displacement sensor QiPosition coordinate value (Xi, 0), determine correspondence laser displacement sensor Q on wheeliMeasurement Point coordinate (X under fusion coordinate system XOYij,Yij):
(Xij,Yij)=(Xi,0)+(xij,yij)
Wherein, i=1,2 ... n, j=1,2 ... m and m >=10;
Step 5, according to all effective measurement point coordinates (X on wheelij,Yij), circle is fitted using least square method, is somebody's turn to do The wheel initial diameter D of measurement position0With initial central coordinate of circle (Xa,Ya);
Step 6, wheel initial diameter D step 5 obtained0With initial central coordinate of circle (Xa,Ya), in [Xa-0.1,Xa+0.1]、 [Ya-0.1,Ya+ 0.1] w groups combined value is taken in scope as initial population, with the distance of all effective measurement points to fitting circle The minimum evolution target of sum, using genetic Optimization Algorithm, is optimized, after being optimized to initial wheel wheel footpath parameter Final wheel diameter D1With central coordinate of circle (Xb,Yb);
Step 7,3 moment of selecting step t eve and the detection data at rear a moment, repeat step 3~6, calculate two groups of wheels Footpath value D2、D3, three groups of wheel footpaths are averaged, the wheel footpath D of final wheel is obtainedf
<mrow> <msub> <mi>D</mi> <mi>f</mi> </msub> <mo>=</mo> <mfrac> <mrow> <msub> <mi>D</mi> <mn>1</mn> </msub> <mo>+</mo> <msub> <mi>D</mi> <mn>2</mn> </msub> <mo>+</mo> <msub> <mi>D</mi> <mn>3</mn> </msub> </mrow> <mn>3</mn> </mfrac> <mo>.</mo> </mrow>
8. the vertically arranged tramcar wheel footpath online test method of linear sensor according to claim 7, its feature It is, according to all effective measurement point coordinates (X on wheel described in step 5ij,Yij), circle is fitted using least square method, Formula is as follows:
<mrow> <msub> <mi>D</mi> <mn>0</mn> </msub> <mo>=</mo> <msqrt> <mrow> <msup> <mi>a</mi> <mn>2</mn> </msup> <mo>+</mo> <msup> <mi>b</mi> <mn>2</mn> </msup> <mo>+</mo> <mn>4</mn> <mfrac> <mrow> <mo>&amp;Sigma;</mo> <mrow> <mo>(</mo> <msup> <msub> <mi>X</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mn>2</mn> </msup> <mo>+</mo> <msup> <msub> <mi>Y</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mn>2</mn> </msup> <mo>)</mo> </mrow> <mo>+</mo> <mi>a</mi> <mo>&amp;Sigma;</mo> <msub> <mi>X</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mo>+</mo> <mi>b</mi> <mo>&amp;Sigma;</mo> <msub> <mi>Y</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> </mrow> <mi>n</mi> </mfrac> </mrow> </msqrt> </mrow>
Wherein, i=1,2 ... n, j=1,2 ... m and m >=10, a=-2Xa, XaFor the center of circle abscissa after fitting, b=-2Yb, YbFor Center of circle ordinate after fitting;
<mrow> <mi>a</mi> <mo>=</mo> <mfrac> <mrow> <mi>H</mi> <mi>D</mi> <mo>-</mo> <mi>E</mi> <mi>G</mi> </mrow> <mrow> <mi>C</mi> <mi>G</mi> <mo>-</mo> <msup> <mi>D</mi> <mn>2</mn> </msup> </mrow> </mfrac> </mrow>
<mrow> <mi>b</mi> <mo>=</mo> <mfrac> <mrow> <mi>H</mi> <mi>C</mi> <mo>-</mo> <mi>E</mi> <mi>D</mi> </mrow> <mrow> <msup> <mi>D</mi> <mn>2</mn> </msup> <mo>-</mo> <mi>G</mi> <mi>C</mi> </mrow> </mfrac> </mrow>
Wherein C, D, E, G, H are intermediate parameters, as follows respectively:
<mrow> <mi>C</mi> <mo>=</mo> <mi>&amp;lambda;</mi> <mo>&amp;Sigma;</mo> <msubsup> <mi>X</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> <mn>2</mn> </msubsup> <mo>-</mo> <mo>&amp;Sigma;</mo> <msub> <mi>X</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mo>&amp;Sigma;</mo> <msub> <mi>X</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> </mrow>
D=λ ∑s XijYij-∑Xij∑Yij
<mrow> <mi>E</mi> <mo>=</mo> <mi>&amp;lambda;</mi> <mo>&amp;Sigma;</mo> <msubsup> <mi>X</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> <mn>3</mn> </msubsup> <mo>+</mo> <mi>&amp;lambda;</mi> <mo>&amp;Sigma;</mo> <msub> <mi>X</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <msubsup> <mi>Y</mi> <mi>j</mi> <mn>2</mn> </msubsup> <mo>-</mo> <mo>&amp;Sigma;</mo> <mrow> <mo>(</mo> <msubsup> <mi>X</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> <mn>2</mn> </msubsup> <mo>+</mo> <msubsup> <mi>Y</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> <mn>2</mn> </msubsup> <mo>)</mo> </mrow> <mo>&amp;Sigma;</mo> <msub> <mi>X</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> </mrow>
<mrow> <mi>G</mi> <mo>=</mo> <mi>&amp;lambda;</mi> <mo>&amp;Sigma;</mo> <msubsup> <mi>Y</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> <mn>2</mn> </msubsup> <mo>-</mo> <mo>&amp;Sigma;</mo> <msub> <mi>Y</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mo>&amp;Sigma;</mo> <msub> <mi>Y</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> </mrow>
<mrow> <mi>H</mi> <mo>=</mo> <mi>&amp;lambda;</mi> <mo>&amp;Sigma;</mo> <msubsup> <mi>X</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> <mn>2</mn> </msubsup> <msub> <mi>Y</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mo>+</mo> <mi>&amp;lambda;</mi> <mo>&amp;Sigma;</mo> <msubsup> <mi>Y</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> <mn>3</mn> </msubsup> <mo>-</mo> <mo>&amp;Sigma;</mo> <mrow> <mo>(</mo> <msubsup> <mi>X</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> <mn>2</mn> </msubsup> <mo>+</mo> <msubsup> <mi>Y</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> <mn>2</mn> </msubsup> <mo>)</mo> </mrow> <mo>&amp;Sigma;</mo> <msub> <mi>Y</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> </mrow>
Wherein, λ is the number of the effective measurement point of all the sensors, i=1,2 ..., n, j=1,2 ... m and m >=10.
9. the vertically arranged tramcar wheel footpath online test method of linear sensor according to claim 7, its feature It is, the genetic Optimization Algorithm described in step 6, with all effective measurement points to fitting circle apart from the minimum evolution of sum F Target, formula is as follows:
<mrow> <mi>F</mi> <mo>=</mo> <mo>&amp;Sigma;</mo> <mrow> <mo>|</mo> <mrow> <msqrt> <mrow> <msup> <mrow> <mo>(</mo> <msub> <mi>X</mi> <mrow> <mi>i</mi> <mo>,</mo> <mi>j</mi> </mrow> </msub> <mo>-</mo> <msub> <mi>X</mi> <mi>k</mi> </msub> <mo>)</mo> </mrow> <mn>2</mn> </msup> <mo>+</mo> <msup> <mrow> <mo>(</mo> <msub> <mi>Y</mi> <mrow> <mi>i</mi> <mo>,</mo> <mi>j</mi> </mrow> </msub> <mo>-</mo> <msub> <mi>Y</mi> <mi>k</mi> </msub> <mo>)</mo> </mrow> <mn>2</mn> </msup> </mrow> </msqrt> <mo>-</mo> <mfrac> <msub> <mi>D</mi> <mi>k</mi> </msub> <mn>2</mn> </mfrac> </mrow> <mo>|</mo> </mrow> </mrow>
Wherein, i=1,2 ..., n, j=1,2 ... m and m >=10, k=1,2 ... w, w is Population Size, | XkYkDk| for population Body, using binary coding, | XkYkDk| value is in wheel initial diameter D0With initial central coordinate of circle (X0,Y0) place [X0-0.1,X0+ 0.1]、[Ya-0.1,Ya+ 0.1] value in scope;
The parameter setting of genetic algorithm is as follows:Population Size is w;Maximum legacy algebraically is MaxGen;Individual lengths are ILength;Generation gap is Pg;Crossover probability is Px;Mutation probability is Pm
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