CN105835901A - Method and system for detecting train wheel diameters - Google Patents
Method and system for detecting train wheel diameters Download PDFInfo
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Abstract
Description
技术领域technical field
本发明属于轨道车辆在线监测技术领域,特别是一种列车车轮直径检测的方法及其系统。The invention belongs to the technical field of on-line monitoring of rail vehicles, in particular to a method and system for detecting the diameter of a train wheel.
背景技术Background technique
在城市轨道交通中,车轮是走行部中的损耗最大的部件之一。车轮的状态与列车的安全运营密切相关,如列车运营对车轮的尺寸有着严格的要求,使用不合要求的车轮会使列车运行中发生颠簸甚至脱轨等安全事故。其中车轮直径作为车轮状态的重要指标之一,对列车安全运行有很大的影响。因此,对车轮直径的检测是十分必要的。In urban rail transit, the wheel is one of the most worn parts in the running gear. The state of the wheels is closely related to the safe operation of the train. For example, the train operation has strict requirements on the size of the wheels, and the use of unqualified wheels will cause safety accidents such as bumps or even derailments during the train operation. Among them, the wheel diameter is one of the important indicators of the wheel state, which has a great influence on the safe operation of the train. Therefore, it is very necessary to detect the wheel diameter.
目前,在轮对尺寸检测方面,目前还广泛采用人工测量的方式。人工测量采用轮径尺,在测量过程中受人工的力度、工人测量的熟练度以及现场条件有密切关系,人工测量存在较大的误差。另一方面,由于列车车轮数目较多,采用人工测量方式耗时较大,检修效率极低。At present, in terms of wheel set size detection, manual measurement is still widely used. Manual measurement uses a wheel gauge, which is closely related to manual strength, worker proficiency in measurement and site conditions during the measurement process, and there are large errors in manual measurement. On the other hand, due to the large number of train wheels, it takes a lot of time to use manual measurement, and the maintenance efficiency is extremely low.
近年来,随着激光及图像技术的发展,出现了一批非接触式的轮径测量装置和方法。如中国专利CN1899904A(列车轮对尺寸在线检测方法及装置)利用四个基于PSD的激光位移传感器,获取列车车轮端面到激光探测器的距离,然后计算出轮缘厚、轮缘高、轮径值。这种方法所需的激光传感器价格昂贵,对安装角度较为严格,不利于大规模推广使用。In recent years, with the development of laser and image technology, a number of non-contact wheel diameter measuring devices and methods have emerged. For example, Chinese patent CN1899904A (on-line detection method and device for train wheel size) utilizes four PSD-based laser displacement sensors to obtain the distance from the end face of the train wheel to the laser detector, and then calculates the rim thickness, rim height, and wheel diameter values . The laser sensor required by this method is expensive, and the installation angle is relatively strict, which is not conducive to large-scale promotion and use.
发明内容Contents of the invention
本发明的目的在于提供一种结构布设方便、计算速度快、测量结果准确的列车车轮直径的检测方法及其系统。The object of the present invention is to provide a method and system for detecting the diameter of a train wheel with convenient structure layout, fast calculation speed and accurate measurement results.
实现本发明目的的技术解决方案为:一种列车车轮直径检测的方法及其系统,包括以下步骤:The technical solution for realizing the purpose of the present invention is: a method and system thereof for train wheel diameter detection, comprising the following steps:
步骤1,传感器布设:沿着列车前进方向,在轨道内侧安装两个激光发射装置,分别记为S1、S2,两个激光发射装置在同一条直线上且平行于轨道延伸方向,激光发射装置发射的激光沿轨道延伸的垂直方向由轨道内侧射向轨道外侧;在轨道外侧依次安装两个激光接收装置,记为R1、R2,两个激光接收装置处于同一竖直面上且该竖直面平行于轨道延伸方向,R1接收S1发出的激光,R2接收S2发出的激光;S1、S2发射的激光与垂直于轨道延伸方向所在面的水平线夹角分别为α1、α2,激光发射装置S1、S2处于同一水平高度且激光束之间的间距为L,激光发射装置S1、S2所在的高度低于轨道平面以保证激光发射设备和列车的安全;Step 1, sensor layout: install two laser emitting devices on the inner side of the track along the train’s forward direction, denoted as S1 and S2 respectively. The two laser emitting devices are on the same straight line and parallel to the extending direction of the track. The laser emitting devices emit The laser is shot from the inner side of the track to the outer side of the track along the vertical direction of the track extension; two laser receiving devices are installed in sequence on the outer side of the track, denoted as R1 and R2, and the two laser receiving devices are on the same vertical plane and the vertical planes are parallel In the direction of track extension, R1 receives the laser light emitted by S1, and R2 receives the laser light emitted by S2; the angles between the laser light emitted by S1 and S2 and the horizontal line perpendicular to the plane where the track extends are α 1 and α 2 , and the laser emitting devices S1, S2 is at the same level and the distance between the laser beams is L, and the height of the laser emitting devices S1 and S2 is lower than the track plane to ensure the safety of the laser emitting equipment and the train;
步骤2,安装参数的获取:在轨道上放置一个用于标定的轮对,获得S1发射的激光在车轮内侧面上留下的光斑到轨道上表面水平面垂直高度为H1,S2发射的激光在车轮内侧面上留下的光斑到轨道上表面水平面垂直高度为H2;Step 2, acquisition of installation parameters: place a wheel set for calibration on the track, obtain the vertical height of the laser spot left by the laser emitted by S1 on the inner side of the wheel to the horizontal plane of the upper surface of the track at H 1 , and the laser emitted by S2 at The vertical height from the light spot left on the inner side of the wheel to the horizontal plane on the upper surface of the track is H2 ;
步骤3,传感器数据获取:当车轮经过时,激光接收装置R1、R2会分别经历“导通——截止——导通”的状态,激光接收装置记录下各状态变化的时刻,每一个车轮会得到由四个时刻数据组成的一组时间序列;Step 3, sensor data acquisition: when the wheels pass by, the laser receiving devices R1 and R2 will respectively experience the state of "on-off-on", and the laser receiving device will record the moment of each state change, and each wheel will Obtain a set of time series consisting of four moment data;
步骤4,车辆速度获取:当列车经过步骤1中激光传感器安装的位置时,根据激光发射装置S1、S2的间距L以及状态变化时的时刻数据,得到车轮通过设备时的瞬时速度;Step 4, vehicle speed acquisition: when the train passes the position where the laser sensor is installed in step 1, according to the distance L between the laser emitting devices S1 and S2 and the time data when the state changes, the instantaneous speed when the wheels pass through the equipment is obtained;
步骤5,车轮直径获取:根据步骤4得到的列车瞬时速度,结合车轮通过时的时刻,得到激光打在车轮上的弦长,从而计算得到车轮直径。Step 5, wheel diameter acquisition: According to the instantaneous speed of the train obtained in step 4, combined with the moment when the wheel passes, the chord length of the laser hitting the wheel is obtained, and the wheel diameter is calculated.
本发明与现有技术相比,其显著优点:(1)只需采用两个激光发射接收装置,大量节省成本;(2)不需要额外的车速检测装置即可得到列车的瞬时速度;(3)两个激光发射接收装置独立计算出车轮直径,并对结果求平均,可以极大的减小误差;(4)具有在线非接触式测量等优点,为实现车轮直径在线测量提供了一种精确度更高的解决方案。Compared with the prior art, the present invention has significant advantages: (1) only need to adopt two laser emitting and receiving devices, which saves a lot of cost; (2) the instantaneous speed of the train can be obtained without additional vehicle speed detection device; (3) ) The two laser emitting and receiving devices independently calculate the wheel diameter, and average the results, which can greatly reduce the error; (4) has the advantages of online non-contact measurement, and provides an accurate online measurement of the wheel diameter. Higher degree of solution.
下面结合附图对本发明作进一步详细描述。The present invention will be described in further detail below in conjunction with the accompanying drawings.
附图说明Description of drawings
图1是本发明车轮直径检测方法的流程图。Fig. 1 is a flow chart of the wheel diameter detection method of the present invention.
图2是本发明车轮直径检测的传感器安装示意图。Fig. 2 is a schematic diagram of sensor installation for wheel diameter detection according to the present invention.
图3是本发明车轮直径检测的传感器布设图。Fig. 3 is a layout diagram of sensors for wheel diameter detection according to the present invention.
图4是本发明车轮直径检测的传感器安装截面图。Fig. 4 is a sectional view of sensor installation for wheel diameter detection of the present invention.
图5是本发明车轮时刻序列示意图。Fig. 5 is a schematic diagram of the wheel timing sequence of the present invention.
图6是直径计算原理说明图。Fig. 6 is an explanatory diagram of the principle of diameter calculation.
具体实施方式detailed description
结合图1,本发明列车车轮直径检测的方法,包括以下步骤:In conjunction with Fig. 1, the method for train wheel diameter detection of the present invention may further comprise the steps:
步骤1,传感器布设:如图2所示,沿着列车前进方向,在轨道内侧安装两个激光发射装置,分别记为S1、S2,两个激光发射装置在同一条直线上且平行于轨道延伸方向,激光发射装置发射的激光沿轨道延伸的垂直方向由轨道内侧射向轨道外侧;在轨道外侧依次安装两个激光接收装置,记为R1、R2,两个激光接收装置处于同一竖直面上且该竖直面平行于轨道延伸方向,R1接收S1发出的激光,R2接收S2发出的激光;S1、S2发射的激光与垂直于轨道延伸方向所在面的水平线夹角分别为α1、α2,如图3所示,激光发射装置S1、S2处于同一水平高度且激光束之间的间距为L,激光发射装置S1、S2所在的高度低于轨道平面以保证激光发射设备和列车的安全。Step 1, sensor layout: As shown in Figure 2, install two laser emitting devices on the inner side of the track along the train's forward direction, denoted as S1 and S2 respectively, and the two laser emitting devices extend on the same straight line and parallel to the track Direction, the laser emitted by the laser emitting device is emitted from the inner side of the track to the outer side of the track along the vertical direction of the track extension; two laser receiving devices are installed in sequence on the outer side of the track, denoted as R1 and R2, and the two laser receiving devices are on the same vertical plane And the vertical plane is parallel to the extending direction of the track, R1 receives the laser light emitted by S1, and R2 receives the laser light emitted by S2; the angles between the laser light emitted by S1 and S2 and the horizontal line on the plane perpendicular to the extending direction of the track are α 1 , α 2 respectively , as shown in Figure 3, the laser emitting devices S1, S2 are at the same level and the distance between the laser beams is L, and the height of the laser emitting devices S1, S2 is lower than the track plane to ensure the safety of the laser emitting equipment and the train.
所述激光发射装置由调制编码和激光发射器组成,激光接收装置由激光接收器、放大检波器和调制解调器组成,调制编码器调制出一定频率的激光由激光发射器发出;当激光接收器接收到激光时,会通过激光解调器对激光的频率进行解析,当激光频率符合时记录下开始照射和结束照射的时刻,若激光频率不符合接收条件,说明该光线是噪声或干扰,予以滤除。上述激光“接收——判断——记录”过程用时在30微秒以内以保证直径测量的精度。Described laser transmitting device is made up of modulation coding and laser transmitter, and laser receiving device is made up of laser receiver, amplifying detector and modem, and modulation coder modulates the laser of certain frequency and sends out by laser transmitter; When laser receiver receives When using laser, the frequency of the laser will be analyzed by the laser demodulator. When the laser frequency matches, the time of starting and ending the irradiation will be recorded. If the laser frequency does not meet the receiving conditions, it means that the light is noise or interference, which should be filtered out. . The above-mentioned laser "receiving-judgment-recording" process takes less than 30 microseconds to ensure the accuracy of diameter measurement.
所述激光发射装置S1、S2之间的距离L应满足:840mm<L<3140mm,即L应大于标准轮对的直径值(840mm),防止出现S1与S2发射的激光同时打在车轮上的情况,造成激光之间的干扰和时间序列的混乱,且L应小于转向架的前后轴距(2300mm)与标准轮对的直径值(840mm)的和值,使一个车轮测量期间不会有另一个车轮进入S1的检测区域。The distance L between the laser emitting devices S1 and S2 should satisfy: 840mm<L<3140mm, that is, L should be greater than the diameter value (840mm) of the standard wheel set, so as to prevent the laser emitted by S1 and S2 from hitting the wheel at the same time. The situation will cause interference between lasers and confusion of time series, and L should be less than the sum of the front and rear wheelbase of the bogie (2300mm) and the diameter of the standard wheel set (840mm), so that there will be no other wheel during the measurement of one wheel. A wheel enters the detection area of S1.
步骤2,安装参数的获取:如图4所示,在轨道上放置一个用于标定的轮对,获得S1发射的激光在车轮内侧面上留下的光斑到轨道上表面水平面垂直高度为H1,S2发射的激光在车轮内侧面上留下的光斑到轨道上表面水平面垂直高度为H2。激光束与水平夹角α1、α2应满足:S1、S2发射的激光照射在车轮内侧,光斑高度低于车轮圆心、高于轨面且不会照射到车轮的刹车片以及其他车底装置上。车轮内侧面为:与轨道的中心线所在的铅锤面平行,向轨道内侧平移70mm所在面。Step 2, acquisition of installation parameters: as shown in Figure 4, place a wheel set for calibration on the track, and obtain the vertical height H1 from the light spot left by the laser emitted by S1 on the inner side of the wheel to the horizontal plane of the upper surface of the track , the vertical height from the light spot left by the laser emitted by S2 on the inner side of the wheel to the horizontal plane of the upper surface of the track is H 2 . The angles α 1 and α 2 between the laser beam and the horizontal should satisfy: the lasers emitted by S1 and S2 are irradiated on the inner side of the wheel, the spot height is lower than the center of the wheel, higher than the rail surface and will not irradiate the brake pads and other underbody devices of the wheel superior. The inner surface of the wheel is: parallel to the plumb surface where the center line of the track is located, and the plane where it is translated 70mm to the inner side of the track.
步骤3,传感器数据获取:如图5所示,当车轮经过时,激光接收装置R1、R2会分别经历“导通——截止——导通”的状态,激光接收装置记录下各状态变化的时刻,每一个车轮会得到由四个时刻数据组成的一组时间序列。时间序列有以下四个时刻依次构成:①R1由“导通——截止”的时刻t1;②R1由“截止——导通”的时刻t2;③R2由“导通——截止”的时刻t3;④R2由“截止——导通”的时刻t4。Step 3, sensor data acquisition: as shown in Figure 5, when the wheels pass by, the laser receiving devices R1 and R2 will respectively experience the state of "conduction-off-conduction", and the laser receiving device records the state changes Time, each wheel will get a set of time series consisting of four time data. The time series is composed of the following four moments in turn: ① R1 from the "on-off" moment t 1 ; ② R1 from the "off-on" moment t 2 ; ③ R2 from the "on-off" moment t 3 ; ④ R2 from the "cut-off" moment t 4 .
步骤4,车辆速度获取:当列车经过步骤1中激光传感器安装的位置时,根据激光发射装置S1、S2的间距L以及状态变化时的时刻数据,得到车轮通过设备时的瞬时速度。其中车轮通过时的瞬时速度由下列步骤计算得出:Step 4, Acquisition of vehicle speed: When the train passes the position where the laser sensor is installed in step 1, the instantaneous speed of the wheels passing through the equipment is obtained according to the distance L between the laser emitting devices S1 and S2 and the time data when the state changes. The instantaneous speed when the wheel passes is calculated by the following steps:
第1步,根据步骤1获得激光发射装置S1、S2之间的距离L;The first step is to obtain the distance L between the laser emitting devices S1 and S2 according to step 1;
第2步,根据步骤3获取车轮开始遮挡S1的时刻t1和开始遮挡S2的时刻t3,以及S1、S2激光束之间距离L求得一个瞬时速度值V1;根据车轮离开S1的时刻t2和离开S2的时刻t4,以及S1、S2激光束之间距离L求得一个瞬时速度值V2,其中:Step 2, according to step 3, obtain the time t 1 when the wheel starts to block S1 and the time t 3 when it starts to block S2, and the distance L between the laser beams of S1 and S2 to obtain an instantaneous speed value V 1 ; according to the time when the wheel leaves S1 t 2 and the moment t 4 when leaving S2, and the distance L between the laser beams of S1 and S2 to obtain an instantaneous velocity value V 2 , where:
第3步,对速度V1、V2求均值获得该车轮从开始遮挡S1到最后走出S2射程期间的平均速度 Step 3: Calculate the average of the speeds V 1 and V 2 to obtain the average speed of the wheel from the beginning of blocking S1 to the last time when it walks out of the range of S2
步骤5,车轮直径获取:根据步骤4得到的列车瞬时速度,结合车轮通过时的时刻,得到激光打在车轮上的弦长,从而计算得到车轮直径。该车轮直径的获取方法如下:Step 5, wheel diameter acquisition: According to the instantaneous speed of the train obtained in step 4, combined with the moment when the wheel passes, the chord length of the laser hitting the wheel is obtained, and the wheel diameter is calculated. The method of obtaining the wheel diameter is as follows:
第1步,根据步骤4得到车轮通过时的平均速度 Step 1, according to step 4 to get the average speed of the wheel passing
第2步,根据步骤3获取车轮开始遮挡S1的时刻t1和离开S1的时刻t2,求得S1在车轮上划过的一条弦长l1;根据步骤3获取车轮开始遮挡S2的时刻t3和离开S2的时刻t4,求得S2在车轮上划过的一条弦长l2,其中:Step 2: According to step 3, obtain the time t 1 when the wheel starts to cover S1 and the time t 2 when it leaves S1, and obtain the length l 1 of a chord that S1 crosses on the wheel; according to step 3, obtain the time t when the wheel starts to block S2 3 and the moment t 4 when leaving S2, obtain the length l 2 of a chord that S2 draws on the wheel, where:
第3步,设轮缘顶点圆半径为R,轮缘高已知为h,求得S1激光在车轮内侧面上划过的轨迹距离车轮圆心的垂直高度为R-H1-h,由弦长可以通过勾股定理求得轮缘顶点圆一个半径R1,两倍的轮缘顶点圆直径再减去两倍的轮缘高h求得车轮直径r1,即通过勾股定理In the third step, the radius of the rim apex circle is set as R, and the rim height is known as h, and the vertical height of the track drawn by the S1 laser on the inner surface of the wheel from the center of the wheel circle is RH 1 -h, and the chord length can be Obtain a radius R 1 of the apex circle of the rim through the Pythagorean theorem, and subtract twice the rim height h from twice the diameter of the rim apex circle to obtain the wheel diameter r 1 , that is, through the Pythagorean theorem
求得车轮的一个轮缘顶点圆半径值为:Find the radius value of a rim apex circle of the wheel:
两倍的轮缘顶点圆直径再减去两倍的轮缘高h求得车轮直径r1 Twice the diameter of the apex circle of the rim minus twice the height h of the rim to obtain the wheel diameter r 1
同理,S2激光在车轮内侧面上划过的轨迹距离车轮圆心的垂直高度为R-H2-h,由弦长通过勾股定理求得轮缘顶点圆另一个半径R2,两倍的轮缘顶点圆直径再减去两倍的轮缘高h可以求得车轮直径r2,即通过勾股定理In the same way, the vertical height of the track drawn by the S2 laser on the inner surface of the wheel from the center of the wheel is RH 2 -h, and the other radius R 2 of the rim apex circle is obtained from the chord length through the Pythagorean theorem, twice the rim The diameter r 2 of the wheel can be obtained by subtracting twice the rim height h from the diameter of the vertex circle, that is, through the Pythagorean theorem
求得车轮的另一个轮缘顶点圆半径为:The radius of the vertex circle of the other rim of the wheel is obtained as:
两倍的轮缘顶点圆直径再减去两倍的轮缘高h求得车轮直径r2:Twice the diameter of the apex circle of the rim minus twice the height h of the rim to obtain the wheel diameter r 2 :
第4步,由于两次误差权重相同,故取两次测量的平均值作为车轮直径最终测量结果。将第3步中获取的两个车轮直径值求平均减小误差,其平均值作为列车车轮直径r:Step 4, since the two error weights are the same, the average value of the two measurements is taken as the final measurement result of the wheel diameter. The two wheel diameter values obtained in step 3 are averaged to reduce the error, and the average value is used as the train wheel diameter r:
结合图2、图3和图4,本发明列车车轮直径检测的装置,包括与中央处理单元的两个激光发射装置和激光接收装置,沿着列车前进方向,在轨道内侧安装两个激光发射装置,分别记为S1、S2,两个激光发射装置在同一条直线上且平行于轨道延伸方向,激光发射装置发射的激光沿轨道延伸的垂直方向由轨道内侧射向轨道外侧;在轨道外侧依次安装两个激光接收装置,记为R1、R2,两个激光接收装置处于同一竖直面上且该竖直面平行于轨道延伸方向,R1接收S1发出的激光,R2接收S2发出的激光;S1、S2发射的激光与垂直于轨道延伸方向所在面的水平线夹角分别为α1、α2,激光发射装置S1、S2处于同一水平高度且激光束之间的间距为L,激光发射装置S1、S2所在的高度低于轨道平面以保证激光发射设备和列车的安全;With reference to Fig. 2, Fig. 3 and Fig. 4, the device for detecting the diameter of the train wheel of the present invention includes two laser emitting devices and a laser receiving device of the central processing unit, and two laser emitting devices are installed on the inner side of the track along the train's forward direction , denoted as S1 and S2 respectively, the two laser emitting devices are on the same straight line and parallel to the extending direction of the track. Two laser receiving devices, denoted as R1 and R2, the two laser receiving devices are on the same vertical plane and the vertical plane is parallel to the direction of track extension, R1 receives the laser light emitted by S1, and R2 receives the laser light emitted by S2; S1, The angles between the laser emitted by S2 and the horizontal line perpendicular to the plane where the track extends are α 1 and α 2 respectively. The laser emitting devices S1 and S2 are at the same level and the distance between the laser beams is L. The laser emitting devices S1 and S2 The height is lower than the track plane to ensure the safety of laser emitting equipment and trains;
在轨道上放置一个用于标定的轮对,获得S1发射的激光在车轮内侧面上留下的光斑到轨道上表面水平面垂直高度为H1,S2发射的激光在车轮内侧面上留下的光斑到轨道上表面水平面垂直高度为H2;Place a wheel set for calibration on the track, and obtain the light spot left by the laser emitted by S1 on the inner side of the wheel to the horizontal plane of the upper surface of the track. The vertical height is H 1 , and the laser spot left by the laser emitted by S2 The vertical height to the horizontal plane of the upper surface of the track is H 2 ;
当车轮经过时,激光接收装置R1、R2会分别经历“导通——截止——导通”的状态,激光接收装置记录下各状态变化的时刻,每一个车轮会得到由四个时刻数据组成的一组时间序列;When the wheels pass by, the laser receiving devices R1 and R2 will experience the state of "on-off-on" respectively. The laser receiving device records the moment of each state change, and each wheel will get four time data. A set of time series;
所述中央处理单元包括车辆速度获取模块和车轮直径获取模块,在车辆速度获取模块中,当列车经过激光传感器安装的位置时,根据激光发射装置S1、S2的间距L以及状态变化时的时刻数据,得到车轮通过设备时的瞬时速度;在车轮直径获取模块中,根据列车瞬时速度,结合车轮通过时的时刻,得到激光打在车轮上的弦长,从而计算得到车轮直径。The central processing unit includes a vehicle speed acquisition module and a wheel diameter acquisition module. In the vehicle speed acquisition module, when the train passes the position where the laser sensor is installed, the time data according to the distance L between the laser emitting devices S1 and S2 and the state changes , to obtain the instantaneous speed of the wheel passing through the equipment; in the wheel diameter acquisition module, according to the instantaneous speed of the train, combined with the moment when the wheel passes, the chord length of the laser hitting the wheel is obtained, and the wheel diameter is calculated.
下面结合具体实施例对本发明做进一步详细说明Below in conjunction with specific embodiment the present invention is described in further detail
实施例Example
结合图3和图4,在轨道内侧依次安装四个激光发射装置,发射装置位置距离轨道内侧为0.45m,角度α为36°,实测激光发射装置S1、S2的激光束之间的距离L1为1.202m。S1的光斑在内侧面的高度H1=215mm,S2的光斑在内侧面的高度H2=213mm,车轮的轮缘高为已知,h=29.3mm。Combined with Figure 3 and Figure 4, four laser emitting devices are installed sequentially on the inner side of the track. The position of the emitting device is 0.45m from the inner side of the track, and the angle α is 36°. The measured distance L between the laser beams of the laser emitting devices S1 and S2 is 1 It is 1.202m. The height of the light spot of S1 on the inner side is H 1 =215mm, the height of the light spot of S2 on the inner side is H 2 =213mm, and the rim height of the wheel is known, h=29.3mm.
根据步骤3的方法,规定车速为5km/h通过设备,通过设备可以得到列车的时间序列。取其中一个序列进行计算演示:t1=1.076s;t2=1.644s;t3=1.942s;t4=2.508s。According to the method of step 3, the train speed is specified to be 5km/h and pass through the equipment, and the time series of the train can be obtained through the equipment. Take one of the sequences for calculation demonstration: t 1 =1.076s; t 2 =1.644s; t 3 =1.942s; t 4 =2.508s.
根据步骤4中方法,结合L的数值,计算得到列车的瞬时速度为:According to the method in step 4, combined with the value of L, the instantaneous speed of the train is calculated as:
根据步骤5中方法,将步骤3中测得的列车的速度带入半径计算公式,可以测得该车轮的轮缘顶点圆直径为881.1878mm,车轮直径为822.5878mm。本次计算的车轮直径的人工测量值为822.6mm,可见该方法能有效准确的测量车轮直径。According to the method in step 5, the speed of the train measured in step 3 is brought into the radius calculation formula, and the diameter of the apex circle of the rim of the wheel can be measured as 881.1878mm, and the diameter of the wheel is 822.5878mm. The manually measured value of the calculated wheel diameter is 822.6mm, which shows that this method can effectively and accurately measure the wheel diameter.
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