JP6644598B2 - Method and apparatus for measuring the angle of attack between a wheel and a rail of a railway vehicle - Google Patents

Method and apparatus for measuring the angle of attack between a wheel and a rail of a railway vehicle Download PDF

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JP6644598B2
JP6644598B2 JP2016058543A JP2016058543A JP6644598B2 JP 6644598 B2 JP6644598 B2 JP 6644598B2 JP 2016058543 A JP2016058543 A JP 2016058543A JP 2016058543 A JP2016058543 A JP 2016058543A JP 6644598 B2 JP6644598 B2 JP 6644598B2
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嘉之 下川
嘉之 下川
拓也 尾崎
拓也 尾崎
智紀 寺前
智紀 寺前
吉史 小村
吉史 小村
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Nippon Steel Corp
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本発明は、鉄道車両の車輪とレールとのアタック角を測定する方法、及びこの測定方法を実施する装置に関するものである。   The present invention relates to a method for measuring an attack angle between a wheel of a railway vehicle and a rail, and an apparatus for implementing the method.

鉄道車両の車輪とレールとのアタック角は、鉄道車両の曲線通過性能に大きな影響を与える重要な要素である。そのため、車輪とレールとのアタック角を測定することは、曲線通過性能を評価するうえで重要である。   The attack angle between the rail of a railway vehicle and a rail is an important factor that has a great influence on the curve passing performance of the railway vehicle. Therefore, measuring the attack angle between the wheel and the rail is important for evaluating the curve passing performance.

鉄道車両側から車輪とレールとのアタック角を測定する技術として、特許文献1が開示されている。この特許文献1で開示された技術は、図4に示すように、軸箱1の下部に設けた支持台2に、車輪3との距離を測定する2台のレーザ変位計4aと、レール5との距離を測定する2台のレーザ変位計4bを、それぞれLa,Lbの間隔を隔てて取り付け、車輪3とレール5のそれぞれの傾き角を演算し、これら両傾き角の差からアタック角を演算するものである。   Patent Literature 1 discloses a technique for measuring an attack angle between a wheel and a rail from a railroad vehicle side. As shown in FIG. 4, the technique disclosed in Patent Document 1 includes two laser displacement gauges 4a for measuring a distance from a wheel 3 and a rail 5 on a support 2 provided at a lower portion of the axle box 1. The two laser displacement gauges 4b for measuring the distance between the two are mounted at an interval of La and Lb, respectively, and the inclination angles of the wheel 3 and the rail 5 are calculated, and the attack angle is calculated from the difference between these two inclination angles. It is to calculate.

しかしながら、特許文献1で開示された技術は、ばね下部品である軸箱に、4つのレーザ変位計を広い範囲に亘って設置する必要があるため、質量が大きくなって耐久性に問題がある。また、4つのレーザ変位計を使用するので高価になる。   However, the technique disclosed in Patent Literature 1 requires that four laser displacement meters be installed over a wide range in an axle box, which is an unsprung part. . In addition, the use of four laser displacement meters is expensive.

また、アタック角の演算時に、測定値を前記間隔La,Lbで除する工程があり、前記間隔のうち長いほうの間隔Laでも500mm程度であるため、ノイズが乗りやすいという問題もある。   In addition, when calculating the attack angle, there is a step of dividing the measured value by the intervals La and Lb, and even the longer interval La is about 500 mm.

特開2011−163981号公報JP 2011-163981 A

本発明が解決しようとする問題点は、特許文献1で開示された車輪とレールとのアタック角の測定技術は、質量が大きくなって耐久性に問題があり、高価になり、ノイズが乗りやすいという点である。   The problem to be solved by the present invention is that the technique for measuring the angle of attack between a wheel and a rail disclosed in Patent Document 1 has a problem in durability due to an increase in mass, becomes expensive, and is apt to carry noise. That is the point.

本発明は、車輪とレールとのアタック角測定を、軽量で耐久性を向上させて、安価で、ノイズに強いようにすることを目的とするものである。   SUMMARY OF THE INVENTION It is an object of the present invention to measure the angle of attack between a wheel and a rail so that it is lightweight, has improved durability, is inexpensive, and is resistant to noise.

本発明の鉄道車両の車輪とレールとのアタック角測定方法は、
上記目的を達成するために、
二軸台車を備えた鉄道車両の、前記二軸台車における車両進行方向前後の輪軸の設置位置からレール側面までの距離をそれぞれ測定し、これら前後の輪軸の設置位置からレール側面までの距離を用いて求めた前後の輪軸の左右変位から二軸台車のヨー角を求め、当該ヨー角をアタック角とすることを最も主要な特徴としている。
The method for measuring the attack angle between the wheel and the rail of the railway vehicle of the present invention is as follows.
To achieve the above objectives,
For a railway vehicle equipped with a two-axle bogie, measure the distance from the installation position of the axle before and after the vehicle traveling direction in the two-axle bogie to the rail side surface, and use the distance from the installation position of these front and rear axle to the rail side surface. The most important feature is that the yaw angle of the two-axle bogie is determined from the lateral displacement of the front and rear wheel shafts obtained as described above, and the yaw angle is used as the attack angle.

上記本発明方法は、二軸台車の前後の輪軸のうち前側の輪軸を支持する車両幅方向両側の軸箱の前後変位を測定し、これら両側の軸箱の前後変位の差を用いて前記前側の輪軸の輪軸角を求め、この輪軸角を加算して補正すれば、より測定精度が良くなる。   The method of the present invention measures the longitudinal displacement of the axle boxes on both sides in the vehicle width direction that supports the front axle among the front and rear axles of the two-axle bogie, and uses the difference between the longitudinal displacements of the axle boxes on both sides to determine the front side. If the wheel set angle of the wheel set is obtained and the wheel set angle is added and corrected, the measurement accuracy is further improved.

上記後者の本発明方法は、
二軸台車を備えた鉄道車両の、前記二軸台車における車両進行方向前後の輪軸の設置位置からレール側面までの距離をそれぞれ測定する距離センサーと、
前記前後の輪軸のうち前側の輪軸を支持する車両幅方向両側の軸箱の前後変位を測定する変位センサーと、
前記距離センサーで測定した前後の輪軸の設置位置からレール側面までの測定距離を用いて求めた前後の輪軸の左右変位から二軸台車のヨー角を求めるとともに、前記変位センサーで測定した前記両側の軸箱の前後変位の差を用いて前側の輪軸の輪軸角を求め、これら求めた台車のヨー角に前側の輪軸の輪軸角を加算する演算器と、
を備えた本発明の鉄道車両の車輪とレールのアタック角測定装置を使用して実施することができる。
The latter method of the present invention,
A distance sensor that measures the distance from the installation position of the wheel set before and after the vehicle traveling direction in the two-axle bogie to the side surface of the rail, of a railway car equipped with a biaxial bogie,
A displacement sensor that measures longitudinal displacement of axle boxes on both sides in the vehicle width direction that support a front wheelset among the front and rear wheelsets,
While determining the yaw angle of the two-axle bogie from the lateral displacement of the front and rear wheel axles obtained using the measurement distance from the installation position of the front and rear wheel axles measured by the distance sensor to the rail side surface, An arithmetic unit that determines the wheelset angle of the front wheelset using the difference between the longitudinal displacements of the axle box, and adds the wheelset angle of the front wheelset to the yaw angle of the truck obtained;
The present invention can be carried out using an apparatus for measuring the angle of attack of a wheel and a rail of a railway vehicle according to the present invention.

本発明は、例えば、車両進行方向前後の輪軸の設置位置からレール側面までの距離と、前側の輪軸を支持する車両幅方向両側の軸箱の前後変位を測定するだけなので、二軸台車一台当たり必要とする距離センサーは4個、変位センサーは2個でよくなり、軽量で耐久性が向上し、安価な装置で、車輪とレールのアタック角を測定することができる。   The present invention, for example, only measures the distance from the installation position of the wheel set in the front and rear direction of the vehicle to the side of the rail, and the longitudinal displacement of the axle boxes on both sides in the vehicle width direction that supports the front wheel set, so one bi-axle truck Only four distance sensors and two displacement sensors are required, and the weight and the durability are improved. The inexpensive device can measure the angle of attack between the wheels and the rails.

また、本発明では、距離センサー間の間隔が軸距となって長くとることができるので、台車のヨー角を求める際にノイズのフィルタリング効果が得られやすくなって、ノイズに強くなる。   Further, in the present invention, since the distance between the distance sensors can be set to be long as the axis distance, a noise filtering effect can be easily obtained when obtaining the yaw angle of the bogie, and the noise resistance is increased.

本発明では、例えば、二軸台車一台当たり必要とする距離センサーは4個、変位センサーは2個でよくなるので、軽量で耐久性が向上し、安価な装置で、車輪とレールのアタック角を測定することができる。また、距離センサー間の間隔が長くなるので、台車のヨー角を求める際にノイズのフィルタリング効果が得られやすくなって、ノイズに強くなる。   In the present invention, for example, four distance sensors and two displacement sensors are required for each two-axle truck, so that the weight and the durability are improved. Can be measured. Further, since the distance between the distance sensors becomes longer, a noise filtering effect can be easily obtained when obtaining the yaw angle of the cart, and the noise becomes stronger.

本発明の鉄道車両の車輪とレールとのアタック角測定装置を説明する図で、(a)は直線区間走行時の二軸台車を上方から見た図、(b)は曲線区間走行時の二軸台車を上方から見た図である。BRIEF DESCRIPTION OF THE DRAWINGS FIG. 1 is a diagram for explaining an attack angle measuring device for a wheel and a rail of a railway vehicle according to the present invention, where (a) is a diagram of a two-axle truck viewed from above when traveling in a straight section, and (b) is a diagram illustrating the two-axle truck traveling in a curved section. It is the figure which looked at the axle truck from the upper part. 本発明の鉄道車両の車輪とレールとのアタック角測定装置を構成する距離センサーを説明する図で、(a)は車輪部分を二軸台車の側方から見た図、(b)は車輪部分を二軸台車の正面から見た図である。BRIEF DESCRIPTION OF THE DRAWINGS It is a figure explaining the distance sensor which comprises the attack angle measuring device of the wheel and rail of the railway vehicle of this invention, (a) is the figure which looked at the wheel part from the side of the two-axle bogie, (b) is the wheel part FIG. 2 is a view as viewed from the front of a two-axle truck. 本発明の鉄道車両の車輪とレールとのアタック角測定方法によって測定した二軸台車のヨー角、前側の輪軸の輪軸角から求めたアタック角と、実際のアタック角を比較したグラフである。4 is a graph comparing an actual attack angle with a yaw angle of a two-axle bogie measured by an attack angle measuring method between a wheel and a rail of a railway vehicle according to the present invention, and an attack angle obtained from a wheel axis angle of a front wheel axle. 特許文献1で記載された鉄道車両の車輪とレールとのアタック角測定装置を説明する図1と同様の図である。FIG. 2 is a diagram similar to FIG. 1 illustrating an attack angle measuring device for a wheel and a rail of a railway vehicle described in Patent Document 1.

本発明では、軽量で耐久性を向上させ、安価な装置で、しかもノイズに強い、車輪とレールとのアタック角測定を可能にすることを目的としている。そして、その目的を、車両進行方向前後の輪軸の設置位置からレール側面までの距離と、前側の輪軸を支持する車両幅方向両側の軸箱の前後変位を測定することで実現した。   An object of the present invention is to enable measurement of an attack angle between a wheel and a rail, which is lightweight, has improved durability, is inexpensive, and is resistant to noise. The object was achieved by measuring the distance from the installation position of the wheel set in the front and rear direction of the vehicle to the side of the rail, and the longitudinal displacement of the axle boxes on both sides in the vehicle width direction supporting the front wheel set.

以下、図1及び図2を用いて本発明の鉄道車両の車輪とレールとのアタック角測定装置を説明し、その後、このアタック角測定装置を用いて車輪とレールとのアタック角を測定する本発明方法について説明する。   Hereinafter, an apparatus for measuring an attack angle between a wheel and a rail of a railway vehicle according to the present invention will be described with reference to FIGS. 1 and 2, and a book for measuring an attack angle between a wheel and a rail using this attack angle measuring apparatus. The method of the invention will be described.

11は本発明のアタック角測定装置であり、二軸台車12を備えた鉄道車両の、曲線区間走行時における前側の輪軸14aを構成する車輪20とレール13とのアタック角Ψw1を測定する装置である。 Reference numeral 11 denotes an attack angle measuring device of the present invention, which measures an attack angle Ψ w1 between a wheel 20 and a rail 13 constituting a front axle 14a of a railway vehicle equipped with a two-axle truck 12 when traveling on a curved section. It is.

15は、二軸台車12における車両進行方向前後の輪軸14a,14bの設置位置からレール13の側面までの距離をそれぞれ測定する距離センサー、例えばレーザ距離計であり、例えば各輪軸14a,14bの両側に各1個で、一台の二軸台車12に4個設置する。   Reference numeral 15 denotes a distance sensor, for example, a laser distance meter that measures the distance from the installation positions of the wheel sets 14a, 14b in the front and rear directions of the two-axle carriage 12 to the side surface of the rail 13, for example, both sides of each wheel set 14a, 14b. , And four are installed on one two-axle carriage 12.

図1及び図2に示す実施例では、軸箱16の下方に取付けた支持台21にこの距離センサー15を設置しているが、各輪軸14a,14bの設置位置からレール13の側面までの距離を測定できる位置であれば、台車枠17に設置してもよい。   In the embodiment shown in FIGS. 1 and 2, the distance sensor 15 is installed on the support 21 attached below the axle box 16, but the distance from the installation position of each axle 14 a, 14 b to the side surface of the rail 13. May be installed on the bogie frame 17 as long as the position can be measured.

18は前記前後の輪軸14a,14bのうち前側の輪軸14aを支持する車両幅方向両側の軸箱16の前後変位を測定する変位センサー、例えばレーザ距離計であり、図1及び図2に示す実施例では、台車枠17に設けて軸箱16までの間隔を測定することで軸箱16の前後変位を得ている。しかしながら、車両幅方向両側の軸箱16の前後変位を測定できるのであれば、この変位センサー18を軸箱16に設けて台車枠17までの間隔を測定するものでも良い。なお、図1中の22は軸箱16と台車枠17間に介在されたばねを示す。   Reference numeral 18 denotes a displacement sensor, for example, a laser range finder for measuring the longitudinal displacement of the axle boxes 16 on both sides in the vehicle width direction that support the front axle 14a of the front and rear axles 14a, 14b. In the example, the longitudinal displacement of the axle box 16 is obtained by measuring the distance to the axle box 16 provided on the bogie frame 17. However, if the longitudinal displacement of the axle box 16 on both sides in the vehicle width direction can be measured, the displacement sensor 18 may be provided on the axle box 16 to measure the distance to the bogie frame 17. Incidentally, reference numeral 22 in FIG. 1 denotes a spring interposed between the axle box 16 and the bogie frame 17.

19は演算器であり、前記距離センサー15で測定した前後の輪軸14a,14bの設置位置からレール13の側面までの測定距離yw1L、yw1R、yw2L、yw2Rを用いて求めた前後の輪軸14a,14bの左右変位yw1、yw2から、下記(1)式で二軸台車12のヨー角Ψbを求める。
Ψb=tan-1((yw1−yw2)/2a)…(1)
なお、2aは二軸台車12の軸距である。
Reference numeral 19 denotes an arithmetic unit, which is a front-rear and a front-rear obtained using the measured distances y w1L , y w1R , y w2L , and y w2R from the installation positions of the front and rear wheel axles 14a and 14b measured by the distance sensor 15 to the side surface of the rail 13. From the lateral displacements y w1 and y w2 of the wheel sets 14a and 14b, the yaw angle Ψ b of the two-axle truck 12 is obtained by the following equation (1).
Ψ b = tan -1 ((y w1 −y w2 ) / 2a) ... (1)
2a is a wheelbase of the two-axle truck 12.

なお、前側の輪軸14aの左右変位yw1は下記(2)で、後側の輪軸14bの左右変位yw2は下記(3)で求める。
w1=yw1L−yw1R…(2)
w2=yw2L−yw2R…(3)
The left-right displacement y w1 of the front wheel set 14a is obtained by the following (2), and the left-right displacement y w2 of the rear wheel set 14b is obtained by the following (3).
y w1 = y w1L -y w1R ... (2)
y w2 = y w2L -y w2R ... (3)

また、前記演算器19は、前記変位センサー18で測定した前側の輪軸14aを支持する両側の軸箱16の前後変位Δax1L、Δax1Rの差を用いて下記(4)で、前側の輪軸14aの輪軸角Ψaxを求める。
Ψax=tan-1((Δax1L−Δax1R)/D)…(4)
なお、Dは前側の輪軸14aを支持する両側の軸箱16の中心間距離である。
Further, the arithmetic unit 19, the front and rear displacement Derutaax 1L of both sides of the axle box 16 which supports the front wheel shaft 14a measured by the displacement sensor 18, by the following (4) using the difference of Derutaax 1R, front wheel shaft 14a Wheel axis angle Ψ ax of
Ψ ax = tan -1 ((Δax 1L -Δax 1R ) / D) (4)
D is the distance between the centers of the axle boxes 16 on both sides supporting the front axle 14a.

そして、前記演算器19は、前記(1)式で求めた二軸台車12のヨー角Ψbに前記(4)式で求めた前側の輪軸14aの輪軸角Ψaxを加算(Ψb+Ψax)して曲線区間走行時における前側の輪軸14aのアタック角Ψw1を求める。これが本発明方法である。 Then, the arithmetic unit 19, the (1) in the yaw angle [psi b biaxial carriage 12 determined (4) adding the wheel axis angle [psi ax wheelset 14a of the front determined in equation (Ψ b + Ψ ax ) To determine the attack angle Ψ w1 of the front wheel set 14a when traveling on a curved section. This is the method of the present invention.

因みに、曲線半径が600mの曲線区間を、5km/hの速度で走行したとき、前記(1)式で求めた二軸台車12のヨー角Ψbは1.87mrad、前記(4)式で求めた前側の輪軸14aの輪軸角Ψaxは0.82mradで、本発明方法によって求めた前側の輪軸14aのアタック角Ψw1は2.69mradとなり、実際のアタック角2.52mradとほぼ同じ値となった。 Incidentally, when traveling at a speed of 5 km / h on a curve section having a curve radius of 600 m, the yaw angle Ψ b of the two-axle truck 12 obtained by the above equation (1) is 1.87 mrad, and the yaw angle Ψ b is obtained by the above equation (4). in front of the wheel shaft 14a wheelset angle [psi ax is 0.82mrad the attack angle [psi w1 of the front wheel shaft 14a as determined by the method of the present invention is almost the same value as 2.69mrad next, the actual angle of attack 2.52mrad Was.

本発明は上記の例に限らず、各請求項に記載された技術的思想の範疇であれば、適宜実施の形態を変更しても良いことは言うまでもない。   The present invention is not limited to the above examples, and it goes without saying that the embodiments may be appropriately modified within the scope of the technical idea described in each claim.

上記の実施例では、各輪軸14a,14bの両側に各1個で、一台の二軸台車12に例えば4個の距離センサー15を設置しているが、車両幅方向の片側にのみ各1個、一台の二軸台車12に2個の距離センサー15を設置したものでも良い。   In the above embodiment, for example, four distance sensors 15 are installed on one biaxial carriage 12 on each side of each of the wheel sets 14a and 14b, but one on each side only in one side in the vehicle width direction. One or two distance sensors 15 may be installed on one two-axle carriage 12.

また、上記の実施例では、距離センサー15や変位センサー18としてレーザ距離計を挙げているが、輪軸14a,14bの設置位置からレール13の側面までの距離や前側の輪軸14aの軸箱16の前後変位を測定できるものであればレーザ距離計に限らない。   In the above-described embodiment, a laser distance meter is used as the distance sensor 15 or the displacement sensor 18. However, the distance from the installation position of the wheel sets 14a and 14b to the side surface of the rail 13 and the distance between the axle box 16 of the front wheel set 14a. It is not limited to a laser distance meter as long as it can measure longitudinal displacement.

また、上記の実施例では、前後の輪軸14a,14bの左右変位から求めた二軸台車のヨー角Ψbに、両側の軸箱16の前後変位の差を用いて求めた前側の輪軸14aの輪軸角Ψaxを加算して補正している。しかしながら、前後の輪軸14a,14bの左右変位から求めた二軸台車のヨー角Ψbをアタック角としてもよい。 Further, in the above embodiment, the yaw angle Ψ b of the two-axle bogie determined from the lateral displacement of the front and rear wheel axles 14a and 14b is used to calculate the yaw angle Ψ b of the front wheel axle 14a using the difference between the longitudinal displacements of the axle boxes 16 on both sides. It is corrected by adding the wheel axis angle Ψ ax. However, it may be the front and rear wheel sets 14a, the yaw angle [psi b biaxial bogie determined from lateral displacement of 14b as an attack angle.

11 アタック角測定装置
12 二軸台車
13 レール
14a 前側の輪軸
14b 後側の輪軸
15 距離センサー
16 軸箱
17 台車枠
18 変位センサー
19 演算器
20 車輪
DESCRIPTION OF SYMBOLS 11 Attack angle measuring device 12 Two-axle trolley 13 Rail 14a Front wheel axle 14b Rear wheel axle 15 Distance sensor 16 Axle box 17 Bogie frame 18 Displacement sensor 19 Computing unit 20 Wheel

Claims (4)

二軸台車を備えた鉄道車両の、前記二軸台車における車両進行方向前後の輪軸の設置位置からレール側面までの距離をそれぞれ測定し、これら前後の輪軸の設置位置からレール側面までの距離を用いて求めた前後の輪軸の左右変位から二軸台車のヨー角を求め、当該ヨー角をアタック角とすることを特徴とする鉄道車両の車輪とレールとのアタック角測定方法。   For a railway vehicle equipped with a two-axle bogie, measure the distance from the installation position of the axle before and after the vehicle traveling direction in the two-axle bogie to the rail side surface, and use the distance from the installation position of these front and rear axle to the rail side surface. A yaw angle of a two-axle bogie is determined from the lateral displacement of the front and rear wheel shafts obtained as described above, and the yaw angle is used as an attack angle. 前記前後の輪軸のうち前側の輪軸を支持する車両幅方向両側の軸箱の前後変位を測定し、これら両側の軸箱の前後変位の差を用いて前記前側の輪軸の輪軸角を求め、
この輪軸角を請求項1に記載のアタック角に加算して補正することを特徴とする鉄道車両の車輪とレールとのアタック角測定方法。
Measure the longitudinal displacement of the axle boxes on both sides in the vehicle width direction supporting the front axle of the front and rear axles, and determine the axle angle of the front axle by using the difference between the longitudinal displacements of these axle boxes,
A method for measuring an attack angle between a wheel and a rail of a railway vehicle, wherein the wheel axis angle is added to the attack angle according to claim 1 for correction.
前記測定する前記前後の輪軸の設置位置からレール側面までの距離は、少なくとも車両幅方向の同一側の輪軸の設置位置からレール側面までの距離を含んでいることを特徴とする請求項1又は2に記載の鉄道車両の車輪とレールとのアタック角測定方法。   The distance from the installation position of the front and rear wheel sets to the rail side surface to be measured includes at least the distance from the installation position of the wheel set on the same side in the vehicle width direction to the rail side surface. 3. The method for measuring an attack angle between a wheel of a railway vehicle and a rail according to the above. 二軸台車を備えた鉄道車両の、前記二軸台車における車両進行方向前後の輪軸の設置位置からレール側面までの距離をそれぞれ測定する距離センサーと、
前記前後の輪軸のうち前側の輪軸を支持する車両幅方向両側の軸箱の前後変位を測定する変位センサーと、
前記距離センサーで測定した前後の輪軸の設置位置からレール側面までの測定距離を用いて求めた前後の輪軸の左右変位から二軸台車のヨー角を求めるとともに、前記変位センサーで測定した前記両側の軸箱の前後変位の差を用いて前側の輪軸の輪軸角を求め、これら求めた台車のヨー角に前側の輪軸の輪軸角を加算する演算器と、
を備えたことを特徴とする鉄道車両の車輪とレールとのアタック角測定装置。
A distance sensor that measures the distance from the installation position of the wheel set before and after the vehicle traveling direction in the two-axle bogie to the side surface of the rail, of a railway car equipped with a biaxial bogie,
A displacement sensor that measures longitudinal displacement of axle boxes on both sides in the vehicle width direction that support a front wheelset among the front and rear wheelsets,
While determining the yaw angle of the two-axle bogie from the lateral displacement of the front and rear wheel axles obtained using the measurement distance from the installation position of the front and rear wheel axles measured by the distance sensor to the rail side surface, An arithmetic unit that determines the wheelset angle of the front wheelset using the difference between the longitudinal displacements of the axle box, and adds the wheelset angle of the front wheelset to the yaw angle of the truck obtained;
An attack angle measuring device for a railroad vehicle wheel and a rail, comprising:
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