JPH11160005A - Track shape detection apparatus and radius of curvature of the track detection apparatus - Google Patents
Track shape detection apparatus and radius of curvature of the track detection apparatusInfo
- Publication number
- JPH11160005A JPH11160005A JP33944597A JP33944597A JPH11160005A JP H11160005 A JPH11160005 A JP H11160005A JP 33944597 A JP33944597 A JP 33944597A JP 33944597 A JP33944597 A JP 33944597A JP H11160005 A JPH11160005 A JP H11160005A
- Authority
- JP
- Japan
- Prior art keywords
- track
- vehicle
- angle
- detecting
- corresponding value
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Granted
Links
Landscapes
- Machines For Laying And Maintaining Railways (AREA)
- A Measuring Device Byusing Mechanical Method (AREA)
- Length Measuring Devices With Unspecified Measuring Means (AREA)
Abstract
Description
【0001】[0001]
【発明の属する技術分野】この発明は、軌道を走行して
軌道形状及び軌道曲率半径を求める軌道形状検出装置及
び軌道曲率半径検出装置に関するものである。BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention relates to a track shape detecting device and a track curvature radius detecting device for finding a track shape and a track radius of curvature while traveling on a track.
【0002】[0002]
【従来の技術】線路等の軌道の設計図の軌道形状に対し
て、実際の軌道形状や軌道曲率半径が大きく違っている
場合があり、軌道形状や軌道曲率半径が実際はどうなっ
ているのか調べる必要が生じる。2. Description of the Related Art In some cases, the actual track shape and the track curvature radius differ greatly from the track shape in the design drawing of the track such as a track, and the actual track shape and the track curvature radius are examined. Need arises.
【0003】[0003]
【発明が解決しようとする課題】従来、実際の軌道形状
や軌道曲率半径を能率良く検出する装置が存在していな
かった。Conventionally, there has been no device for efficiently detecting the actual track shape and the track radius of curvature.
【0004】この発明の目的は、軌道形状及び軌道曲率
半径の実際の値を能率良く検出できる軌道形状検出装置
及び軌道曲率半径検出装置を提供することである。An object of the present invention is to provide a track shape detecting device and a track curvature radius detecting device capable of efficiently detecting actual values of a track shape and a track radius of curvature.
【0005】[0005]
【課題を解決するための手段】この発明の軌道形状検出
装置(10,30)は次の(a)〜(e)を有している。 (a)それぞれ前側及び後ろ側に配置されて軌道(14)を
走行する前側車両(12,31)及び後ろ側車両(11,32) (b)前側車両(12,31)及び後ろ側車両(11,32)を相互に
連結する連結手段(13,33) (c)走行位置を検出する走行位置検出手段 (d)前側車両(12,31)、後ろ側車両(11,32)、及び連結
手段(13,33)の3者の内の2者の相対屈折角より各走行
位置での軌道曲がり角度又はその対応値を検出する軌道
曲がり角度検出手段 (e)走行位置検出手段及び軌道曲がり角度検出手段の
検出値に基づいて軌道形状を求める軌道形状演算手段A track shape detecting device (10, 30) according to the present invention has the following (a) to (e). (A) A front vehicle (12, 31) and a rear vehicle (11, 32) arranged on a front side and a rear side and traveling on a track (14), respectively. (B) A front vehicle (12, 31) and a rear vehicle ( (C) traveling position detecting means for detecting a traveling position, (d) front vehicle (12, 31), rear vehicle (11, 32), and coupling. Orbit angle detecting means for detecting the orbital angle or the corresponding value at each running position from the relative refraction angle of two of the three means (13, 33) (e) running position detecting means and orbital angle Track shape calculating means for obtaining a track shape based on the detection value of the detecting means
【0006】軌道形状演算手段が軌道形状を求める処理
はオンライン処理及びバッジ処理のいずれであってもよ
い。すなわち、走行位置検出手段及び軌道形状演算手段
の検出後、直ちに軌道形状を求めてもよいし、所定個数
のデータ又は全部のデータを収集してから走行位置検出
手段及び軌道形状演算手段の検出場所とは別の場所で軌
道形状を求めてもよい。[0006] The processing by which the track shape calculation means obtains the track shape may be either online processing or badge processing. That is, the track shape may be obtained immediately after the detection by the travel position detecting means and the track shape calculating means, or a predetermined number of data or all data may be collected and then detected by the travel position detecting means and the track shape calculating means. The trajectory shape may be determined at a different place.
【0007】前側車両(12,31)及び後ろ側車両(11,32)は
軌道(14)に沿って走行するので、前側車両(12,31)、後
ろ側車両(11,32)、及び連結手段(13,33)の3者の内の2
者の相対屈折角は、軌道(14)の軌道曲がり角度に1:1
に対応したものとなる。したがって、前側車両(12,3
1)、後ろ側車両(11,32)、及び連結手段(13,33)の3者の
内の2者の相対屈折角を各走行位置における軌道曲がり
角度又はその対応値として検出することができる。軌道
形状は、各走行位置における軌道曲がり角度又はその対
応値が判明すれば、再現できるので、軌道形状演算手段
は、走行位置検出手段が検出した走行位置と軌道曲率半
径演算手段が検出した軌道曲がり角度又はその対応値と
に基づいて軌道形状を求めることができる。Since the front vehicle (12, 31) and the rear vehicle (11, 32) travel along the track (14), the front vehicle (12, 31), the rear vehicle (11, 32), and the connection 2 of 3 means (13,33)
The relative refraction angle of the person is 1: 1 with the orbital angle of the orbit (14).
It corresponds to. Therefore, the front vehicle (12,3
1) The relative refraction angle of two of the three of the rear vehicle (11, 32) and the connecting means (13, 33) can be detected as a track turning angle or a corresponding value at each running position. . The orbital shape can be reproduced if the orbit of the orbit at each traveling position or its corresponding value is known. The trajectory shape can be determined based on the degree or the corresponding value.
【0008】この発明の軌道形状検出装置(10,30)によ
れば、連結手段(13,33)は所定長さの連結棒(13)であ
る。軌道曲がり角度検出手段は、前側車両(12,31)及び
後ろ側車両(11,32)の一方に対する連結棒(13)の相対屈
折角を軌道曲がり角度又はその対応値として検出する。According to the track shape detecting device (10, 30) of the present invention, the connecting means (13, 33) is a connecting rod (13) having a predetermined length. The track turning angle detecting means detects a relative refraction angle of the connecting rod (13) with respect to one of the front vehicle (12, 31) and the rear vehicle (11, 32) as a track turning angle or a corresponding value thereof.
【0009】前側車両(12,31)及び後ろ側車両(11,32)
は、軌道(14)に沿って走行して、軌道(14)の曲がり角度
に対応した方向を取る、したがって、前側車両(12,31)
及び後ろ側車両(11,32)の一方に対する連結棒(13)の相
対屈折角は、軌道(14)の曲がり角度に対応する。The front vehicle (12, 31) and the rear vehicle (11, 32)
Travels along the track (14) and takes a direction corresponding to the turning angle of the track (14), therefore the front vehicle (12, 31)
The relative bending angle of the connecting rod (13) with respect to one of the rear vehicles (11, 32) corresponds to the bending angle of the track (14).
【0010】この発明の軌道形状検出装置(10,30)によ
れば、軌道曲がり角度検出手段は、前側車両(12,31)及
び後ろ側車両(11,32)の相対屈折角を軌道曲がり角度又
はその対応値として検出する。According to the track shape detecting device (10, 30) of the present invention, the track turning angle detecting means calculates the relative bending angle of the front vehicle (12, 31) and the rear vehicle (11, 32) by the track turning angle. Or, it is detected as the corresponding value.
【0011】前側車両(12,31)及び後ろ側車両(11,32)
は、軌道(14)に沿って走行して、軌道(14)の曲がり角度
に対応した方向を取る、したがって、前側車両(12,31)
及び後ろ側車両(11,32)の相対屈折角は軌道(14)の曲が
り角度又はその対応値となる。The front vehicle (12, 31) and the rear vehicle (11, 32)
Travels along the track (14) and takes a direction corresponding to the turning angle of the track (14), therefore the front vehicle (12, 31)
The relative refraction angle of the rear vehicle (11, 32) is the bending angle of the track (14) or its corresponding value.
【0012】この発明の軌道曲率半径検出装置(10,30)
は次の(a)〜(d)を有している。 (a)それぞれ前側及び後ろ側に配置されて軌道(14)を
走行するる前側車両(12,31)及び後ろ側車両(11,32) (b)前側車両(12,31)及び後ろ側車両(11,32)を相互に
連結する連結手段(13,33) (c)前側車両(12,31)、後ろ側車両(11,32)、及び連結
手段(13,33)の3者の内の2者の相対屈折角より各走行
位置での軌道曲がり角度又はその対応値を検出する軌道
曲がり角度検出手段 (d)走行位置検出手段の検出した軌道曲がり角度又は
その対応値に基づいて各走行位置での軌道曲率半径を求
める軌道曲率半径演算手段Orbital curvature radius detecting device of the present invention (10, 30)
Has the following (a) to (d). (A) A front vehicle (12, 31) and a rear vehicle (11, 32) arranged on a front side and a rear side and traveling on a track (14), respectively. (B) A front vehicle (12, 31) and a rear vehicle. Connecting means (13,33) for connecting (11,32) to each other (c) Of the three members of the front vehicle (12,31), the rear vehicle (11,32), and the connecting means (13,33) (D) track turning angle detecting means for detecting a track turning angle or its corresponding value at each running position from the relative refraction angles of the two persons (d) Each running based on the track turning angle detected by the running position detecting means or its corresponding value Orbital curvature radius calculation means for finding the orbital curvature radius at the position
【0013】前側車両(12,31)及び後ろ側車両(11,32)は
軌道(14)に沿って走行するので、前側車両(12,31)、後
ろ側車両(11,32)、及び連結手段(13,33)の3者の内の2
者の相対屈折角は、軌道(14)の軌道曲がり角度に1:1
に対応したものとなる。したがって、前側車両(12,3
1)、後ろ側車両(11,32)、及び連結手段(13,33)の3者の
内の2者の相対屈折角を各走行位置における軌道曲がり
角度又はその対応値として検出することができる。軌道
曲率半径は、各走行位置における軌道曲がり角度又はそ
の対応値が判明すれば、求めることができるので、軌道
曲率半径演算手段は、軌道曲がり角度検出手段が検出し
た軌道曲がり角度に基づいて軌道曲率半径を求めること
ができる。Since the front vehicle (12, 31) and the rear vehicle (11, 32) travel along the track (14), the front vehicle (12, 31), the rear vehicle (11, 32), and the connection 2 of 3 means (13,33)
The relative refraction angle of the person is 1: 1 with the orbital angle of the orbit (14).
It corresponds to. Therefore, the front vehicle (12,3
1) The relative refraction angle of two of the three of the rear vehicle (11, 32) and the connecting means (13, 33) can be detected as a track turning angle or a corresponding value at each running position. . The orbital curvature radius can be obtained if the orbital angle or the corresponding value at each traveling position is known. The radius can be determined.
【0014】この発明の軌道曲率半径検出装置(10,30)
によれば、連結手段(13,33)は所定長さの連結棒(13)で
ある。軌道曲がり角度検出手段は、前側車両(12,31)及
び後ろ側車両(11,32)の一方に対する連結棒(13)の相対
屈折角を軌道曲がり角度又はその対応値として検出す
る。[0014] Orbital curvature radius detecting device of the present invention (10, 30)
According to the above, the connecting means (13, 33) is a connecting rod (13) having a predetermined length. The track turning angle detecting means detects a relative refraction angle of the connecting rod (13) with respect to one of the front vehicle (12, 31) and the rear vehicle (11, 32) as a track turning angle or a corresponding value thereof.
【0015】この発明の軌道曲率半径検出装置(10,30)
によれば、軌道曲がり角度検出手段は、前側車両(12,3
1)及び後ろ側車両(11,32)の相対屈折角より軌道曲がり
角度又はその対応値として検出する。Orbital curvature radius detecting device of the present invention (10, 30)
According to the track turn angle detection means, the front vehicle (12,3
From 1) and the relative refraction angle of the rear vehicle (11, 32), it is detected as a track turning angle or its corresponding value.
【0016】[0016]
【発明の実施の形態】以下、発明の実施の形態について
図面を参照して説明する。図1は線路測定車10が線路14
の軌道曲がり角度等を検出している状況を上方から示し
ている。線路測定車10は、測定機器装備車両11、測定機
器装備車両11の前方に位置する一軸台車12、及び前後の
端部においてそれぞれ一軸台車12及び測定機器装備車両
11へ回転自在に結合している所定長さ、例えば約10〜
20mの連結棒13を有している。なお、線路14の往路で
は、走行方向前側から一軸台車12、連結棒13、及び測定
機器装備車両11の順番になるが、線路14の復路では、走
行方向前側から測定機器装備車両11、連結棒13、及び一
軸台車12の順番になってもよい。図1では、一軸台車12
及び測定機器装備車両11への連結棒13の前後の端部の結
合点は、一軸台車12及び測定機器装備車両11の左右中心
線上に位置している。一軸台車12は、1対の車輪18を線
路14上に載せて、連結棒13を介して測定機器装備車両11
から伝達される押し出し力により線路14上を走行する。
測定機器装備車両11は、前側台車22及び後ろ側台車23を
有し、前側台車22及び後ろ側台車23には、前後に計2対
の車輪24を備え、4個の車輪24の中心に心皿25が位置し
ている。測定機器装備車両11は、駆動モータを装備し、
前側台車22及び後ろ側台車23の少なくとも一方における
車輪24を駆動して、線路14上を自走可能になっている。
図において、θは測定機器装備車両11の左右中心線に対
する連結棒13の傾斜角を示し、図示していないポテンシ
ョメータは、測定機器装備車両11に装備され、線路測定
車10が線路14を走行している間、時々刻々変化するθを
検出する。さらに、図示されていない速度発電機又はタ
コジェネレータが、測定機器装備車両11に装備され、速
度発電機又はタコジェネレータの出力より線路14上の基
準位置からの走行距離が線路測定車10の現在の走行位置
として検出できるようになっている。Embodiments of the present invention will be described below with reference to the drawings. FIG. 1 shows that a track measuring vehicle 10 is a track 14
The state of detecting the orbital turning angle and the like is shown from above. The track measuring vehicle 10 includes a vehicle 11 equipped with a measuring device, a single-axle truck 12 located in front of the vehicle 11 equipped with a measuring device, and a single-axle truck 12 and a vehicle equipped with a measuring device at front and rear ends, respectively.
A predetermined length rotatably connected to 11, for example, about 10
It has a connecting rod 13 of 20 m. On the outward route of the track 14, the order of the uniaxial carriage 12, the connecting rod 13 and the vehicle 11 with the measuring device is from the front side in the traveling direction, but on the return path of the track 14, the vehicle 11 with the measuring device and the connecting rod from the front side in the traveling direction. 13 and the single-axle truck 12 in this order. In FIG. 1, the single-axle truck 12
The connection point of the front and rear ends of the connecting rod 13 to the vehicle 11 with the measuring device is located on the left-right center line of the uniaxial carriage 12 and the vehicle 11 with the measuring device. The single-axle truck 12 has a pair of wheels 18 on a track 14, and a vehicle 11 equipped with measuring devices via a connecting rod 13.
It travels on the track 14 by the pushing force transmitted from the vehicle.
The vehicle 11 equipped with measuring equipment has a front bogie 22 and a rear bogie 23, and the front bogie 22 and the rear bogie 23 are provided with a total of two pairs of wheels 24 at the front and rear. A plate 25 is located. Vehicle 11 equipped with measuring equipment is equipped with a drive motor,
The wheels 24 of at least one of the front bogie 22 and the rear bogie 23 are driven to be able to run on the track 14 by themselves.
In the figure, θ indicates the inclination angle of the connecting rod 13 with respect to the left and right center lines of the measuring instrument equipped vehicle 11, and a potentiometer (not shown) is installed on the measuring instrument equipped vehicle 11, and the track measuring vehicle 10 travels on the track 14. During the operation, θ that changes every moment is detected. Further, a speed generator or a tachogenerator (not shown) is provided in the vehicle 11 equipped with the measuring device, and the traveling distance from the reference position on the track 14 is determined by the output of the speed generator or the tachogenerator. It can be detected as a traveling position.
【0017】図2は別の線路測定車30が線路14の軌道曲
がり角度等を検出している状況を上方から示している。
図1と同一の要素については同符号で指示して、説明を
省略する。線路測定車30及び前側車両31の少なくとも一
方は、駆動モータを装備し、自走可能になっている。線
路測定車30及び前側車両31は連結器33により連結され
る。なお、線路14の往路では、前側車両31が後ろ側車両
32に対して走行方向前側となるが、線路14の復路では、
後ろ側車両32が前側車両31に対して走行方向前側となっ
てもよい。この線路測定車30では、前側車両31及び後ろ
側車両32の長さは等しい。FIG. 2 shows, from above, a situation where another track measuring vehicle 30 detects a track turning angle or the like of the track 14.
The same elements as those in FIG. 1 are designated by the same reference numerals, and description thereof will be omitted. At least one of the track measuring vehicle 30 and the front vehicle 31 is equipped with a drive motor and is capable of running on its own. The track measuring vehicle 30 and the front vehicle 31 are connected by a connector 33. In addition, on the outward route of the track 14, the front vehicle 31 is
Although it is on the front side in the running direction with respect to 32, on the return path of the track 14,
The rear vehicle 32 may be on the front side in the traveling direction with respect to the front vehicle 31. In this track measuring vehicle 30, the front vehicle 31 and the rear vehicle 32 have the same length.
【0018】図3は図2の線路測定車30の前側車両31及
び後ろ側車両32の連結部の拡大図である。前側車両31及
び後ろ側車両32は後ろ側妻38及び前側妻39を相互に対峙
させており、後ろ側妻38及び前側妻39は、線路測定車30
が線路14の直線部を走行している期間では、相互に平行
となるが、線路14の曲線部を走行している期間では、線
路14の曲がり角度に関係した交角となる。レーザ距離計
42,43は、後ろ側車両32の前側妻39の所定高さに左右対
称位置に取付けられる。レーザ距離計42,43は、後ろ側
車両32の左右中心線方向へレーザ光を放射し、後ろ側妻
38からの反射光を入力して、後ろ側車両32の左右中心線
に沿った方向の後ろ側妻38までの距離d1,d2を計測
する。レーザ距離計42,43の左右方向距離は所定値wで
あるので、d1,d2,wよりtan^-1{(d1−d
2)/w}(ただし、tan^-1はアークタンジェント
を意味する。)より前側車両31及び後ろ側車両32の相対
屈折角γを求めることができる。γは線路測定車10の各
走行位置での線路14の曲がり角度に対応する。FIG. 3 is an enlarged view of a connecting portion between the front vehicle 31 and the rear vehicle 32 of the track measuring vehicle 30 shown in FIG. The front vehicle 31 and the rear vehicle 32 make the rear wife 38 and the front wife 39 face each other, and the rear wife 38 and the front wife 39
While the vehicle travels along the straight portion of the line 14, it is parallel to each other, but during the period traveling along the curved portion of the line 14, the intersection angle is related to the bending angle of the line 14. Laser rangefinder
The reference numerals 42 and 43 are attached at predetermined positions of the front wife 39 of the rear vehicle 32 at symmetrical positions. The laser rangefinders 42 and 43 emit laser light in the direction of the center line of the rear vehicle 32 in the left and right directions.
The reflected light from 38 is input, and distances d1 and d2 to the rear wife 38 in the direction along the left and right center lines of the rear vehicle 32 are measured. Since the horizontal distance of the laser rangefinders 42 and 43 is a predetermined value w, tan ^ -1 {(d1-d) is obtained from d1, d2, and w.
2) The relative refraction angle γ of the front vehicle 31 and the rear vehicle 32 can be obtained from / w} (where tan ^ -1 means the arc tangent). γ corresponds to the bending angle of the track 14 at each running position of the track measuring vehicle 10.
【0019】図4は図1の線路測定車10の場合に連結棒
13の後端部が測定機器装備車両11の左右中心線に対して
偏倚しかつ測定機器装備車両11の前端部に結合していた
ときにその連結棒13の傾斜角θ'を測定機器装備車両11
の前側の心皿25からの傾斜角θに換算する説明図であ
る。図4において、各記号は次のように定義される。 A:測定機器装備車両11への連結棒13の後端部の結合点 B:測定機器装備車両11の前側台車22の心皿25の位置 C:一軸台車12への連結棒13の前端部の結合点 l':線分ACの長さ l:線分BCの長さ l0:線分ABの長さ m:測定機器装備車両11の左右中心線方向のA−B間の
距離 n:測定機器装備車両11の左右垂直横断面方向のA−B
間の距離 a:測定機器装備車両11の前後の心皿25間の距離 α:測定機器装備車両11の左右垂直横断面に対する線分
ABの傾斜角 β:測定機器装備車両11の左右方向垂直横断面に対する
線分ACの傾斜角 θ:測定機器装備車両11の左右中心線に対する線分BC
の傾斜角 θ':測定機器装備車両11の左右中心線に対する線分A
Cの傾斜角FIG. 4 shows a connecting rod in the case of the track measuring vehicle 10 of FIG.
When the rear end of the vehicle 13 is deviated from the left-right center line of the vehicle 11 with the measuring device and is coupled to the front end of the vehicle 11 with the measuring device, the inclination angle θ ′ of the connecting rod 13 is measured with the vehicle with the measuring device. 11
FIG. 7 is an explanatory diagram of conversion into an inclination angle θ from the front center plate 25 of FIG. In FIG. 4, each symbol is defined as follows. A: Connection point of rear end of connecting rod 13 to vehicle 11 with measuring equipment B: Position of center plate 25 of front bogie 22 of vehicle 11 with measuring equipment C: Front end of connecting rod 13 to single-axle carriage 12 Connection point l ': length of line segment AC l: length of line segment BC l0: length of line segment AB m: distance between AB in the left-right center line direction of vehicle 11 equipped with measuring equipment n: measuring equipment AB in the left-right vertical cross-sectional direction of the equipped vehicle 11
Distance between a: the distance between the center plates 25 before and after the vehicle 11 equipped with the measuring device α: the inclination angle of the line segment AB with respect to the left-right vertical cross section of the vehicle 11 equipped with the measuring device β: the vertical transverse crossing of the vehicle 11 equipped with the measuring device Angle θ of line segment AC with respect to surface θ: Line segment BC with respect to the left and right center line of vehicle 11 with measuring equipment
Θ ′: line segment A with respect to the left and right center line of the vehicle 11 equipped with measuring equipment
C tilt angle
【0020】[0020]
【数1】 (Equation 1)
【0021】ピタゴラスに定理より、(1)式が成り立
つ。△ABCについての余弦定理より(2)式及び
(3)式が成り立つ。さらに、(4)及び(5)式が成
り立つ。(3)式を展開すると、(6)式となり、
(6)式へ(4)及び(5)式を代入して、βを消去す
ると、最終的に(10)式となる。(10)式を平方根
にすると、(11)式となる。l’及びl0は既知であ
るので、(11)式よりlを求めることができる。一
方、(2)式より(12)式が成立し、(13)式が得
られる。(13)のlに(11)式を代入すると、l、
l’及びl0は既知であるので、θ’からθを求めるこ
とができる。From Pythagorean theorem, equation (1) holds. Equations (2) and (3) hold from the cosine theorem for ΔABC. Further, equations (4) and (5) hold. Expanding equation (3) yields equation (6),
Eliminating β by substituting equations (4) and (5) into equation (6) ultimately results in equation (10). If equation (10) is square root, equation (11) is obtained. Since l 'and l0 are known, l can be obtained from equation (11). On the other hand, equation (12) is established from equation (2), and equation (13) is obtained. Substituting equation (11) into l of (13) gives l,
Since l 'and l0 are known, θ can be determined from θ'.
【0022】図5は図4で求めたθから曲率半径を算出
する説明図である。図4に対して図5において付加され
た各記号は次のように定義される。A,B,Cは同一円
の円弧上にあると近似する。 O:円弧CABの中心 R:線路14の曲率半径 δ:点Bにおける接線に対する弦BCの角度 γ:点Bにおける接線に対する弦ABの角度 α:∠AOB β:∠BOCFIG. 5 is an explanatory diagram for calculating the radius of curvature from θ obtained in FIG. Each symbol added in FIG. 5 with respect to FIG. 4 is defined as follows. A, B, and C are approximated as being on the same circular arc. O: center of arc CAB R: radius of curvature of line 14 δ: angle of chord BC with respect to tangent at point B γ: angle of chord AB with respect to tangent at point B α: ∠AOB β: ∠BOC
【0023】[0023]
【数2】 (Equation 2)
【0024】α、βは中心角であり、δ、γは接線に対
する弦の角度であるので、(21)及び(22)式が成
り立つ。△OBCにおいて(23)及び(24)式が成
り立つ。また、(25)式より(26)式が得られる。
(26)式を(24)式へ代入して、(27)式を得、
(27)式をRについて解くと、(29)式となる。α
とRとは、sin(α/2)=a/(2・R)の関係が
あり、この関係を用いつつ、(29)式よりθからRを
求めることができる。Since α and β are central angles, and δ and γ are chord angles with respect to the tangent, the equations (21) and (22) hold. Equations (23) and (24) hold in ΔOBC. The expression (26) is obtained from the expression (25).
Substituting equation (26) into equation (24) yields equation (27),
When equation (27) is solved for R, equation (29) is obtained. α
And R have a relationship of sin (α / 2) = a / (2 · R), and using this relationship, R can be determined from θ by equation (29).
【0025】図1の線路測定車10により線路14の形状を
求める原理を説明する。図1において、一軸台車12への
連結棒13の前端部結合点、測定機器装備車両11の前側台
車22の心皿25、及び測定機器装備車両11の後ろ側台車23
の心皿25の、線路14上における位置を改めてそれぞれ
C,A,Bとし、C,A,Bの線路測定車10のスタート
地点の位置をC0,A0,B0とし、それから数えたi番目
の地点の各位置及びθをCi,Ai,Bi、及びθiとす
る。線分CA、線分ABの長さは固定されている。図1
の線路測定車10では、スタート地点の線路14は直線部と
され、スタート地点では、C0,A0,B0は例えば直線
上に揃い(スタート地点の線路形状が既知であれば、C
0,A0,B0は、直線上に揃わされることに限定され
ず、その既知の曲線上に揃わされてもよい。)、θ0=
0である。線路測定車10は、一軸台車12の方へ前進し、
所定量Δx(Δx≦スタート地点における線分BCの長
さ/2)前進するごとに、θを測定する。C0,A0,B
0が判明しているので、ΔxよりA1,B1の位置(A1,
B1の位置は、すでに線路14形状が求められたB0〜C0
の範囲に存在する。)を求め、さらに、θ1よりC1の位
置を求める。したがって、C0とC1を近似的に線分で結
ぶことにより、C0−C1間の線路14が求まる。こうし
て、C2,C3,・・・Ciと、順次、求めていき、全体
の線路14の形状、したがって、線路14の各位置での曲が
り角度を検出できる。なお、線路形状計測時の線路測定
車10の走行位置は、C、A、及びBのいずれにしてもよ
い。The principle of obtaining the shape of the track 14 by the track measuring vehicle 10 of FIG. 1 will be described. In FIG. 1, the front end connecting point of the connecting rod 13 to the uniaxial carriage 12, the center plate 25 of the front carriage 22 of the vehicle 11 equipped with measuring equipment, and the rear carriage 23 of the vehicle 11 equipped with measuring equipment.
Of the heart dish 25 on the track 14 are respectively denoted by C, A, and B again, and the starting points of the track measuring vehicle 10 of C, A, and B are denoted by C0, A0, and B0, and the i-th counted from the Let each position and θ of the point be Ci, Ai, Bi, and θi. The lengths of the line segments CA and AB are fixed. FIG.
In the track measuring vehicle 10 of the first embodiment, the track 14 at the start point is a straight line, and at the start point, C0, A0, and B0 are aligned, for example, on a straight line (if the track shape at the start point is known, C0
0, A0, and B0 are not limited to being aligned on a straight line, and may be aligned on a known curve. ), Θ0 =
0. The track measuring vehicle 10 advances toward the uniaxial carriage 12,
Each time the vehicle advances by a predetermined amount Δx (Δx ≦ the length of the line segment BC at the start point / 2), θ is measured. C0, A0, B
Since 0 is known, the positions of A1, B1 (A1,
The position of B1 is between B0 and C0 where the line 14 shape has already been determined.
Exists in the range. ) Is obtained, and the position of C1 is obtained from θ1. Therefore, the line 14 between C0 and C1 is determined by approximately connecting C0 and C1 with a line segment. In this manner, C2, C3,... Ci are sequentially obtained, and the shape of the entire line 14 and, therefore, the bending angle at each position of the line 14 can be detected. The traveling position of the track measuring vehicle 10 at the time of measuring the track shape may be any of C, A, and B.
【0026】θiは、Ai−Ci間の曲がり角度(線分Ai
Biを線路14の地点Aiにおける接線上の線分として、θ
iは該接線に対する線分AiCiの角度)と看做すことが
できる。円弧AiCiの長さは線分AiCiの長さlと近似
できる。したがって、曲率半径をRiとすると、Ri・2
θ=lであり、Ri=l/(2θ)となる。なお、この
Riは、個所BiからCiまでの範囲の平均の曲率半径で
あるので、線分BiCiの中点の曲率半径とする。Θi is the bending angle between Ai and Ci (line segment Ai
Let Bi be a tangent segment at the point Ai on the track 14, θ
i is the angle of the line segment AiCi with respect to the tangent). The length of the arc AiCi can be approximated to the length l of the line segment AiCi. Therefore, if the radius of curvature is Ri, then Ri · 2
θ = 1, and Ri = 1 / (2θ). Since this Ri is the average radius of curvature in the range from Bi to Ci, it is the radius of curvature at the midpoint of the line segment BiCi.
【0027】図2において、前側車両31の前側台車22の
心皿25、前側車両31の後ろ側台車23の心皿25、後ろ側車
両32の前側台車22の心皿25、及び後ろ側車両32の後ろ側
台車23の心皿25を改めてそれぞれA,B,C,Dとす
る。連結器33の長さは短く、BCの距離dは前側台車22
及び後ろ側車両32の相対屈折角γに関係なく一定と看做
す。A,B,C,Dの線路測定車10のスタート地点の位
置及びγをA0,B0,C0,D0,γ0とし、それから数
えたi番目の地点の各位置及びγをAi,Bi,Ci,D
i,γiとする。図2の線路測定車30では、スタート地点
の線路14は直線部とされ、A0,B0,C0,D0は直線上
に揃い(スタート地点の線路形状が既知であれば、 A
0,B0,C0,D0は、直線上に揃わされることに限定さ
れず、その既知の曲線上に揃わされてもよい。)、γ0
=0である。線路測定車30は、前側車両31の方を前側と
して前進し、所定量Δx(Δx≦(スタート時の線分A
0D0の長さ)/2)前進するごとに、γを測定する。A
0−D0間の線路14の形状が判明しているので、Δxより
C1及びD1を既知の線路形状上に定めることができる。
次に、BCの距離dとγよりB1の位置が決まり、B1を
通りかつ線分C1D1に対して傾斜角γの直線上にB1か
ら所定距離点をA1として、A0より先のA1(及びB1)
まで線路14の形状を延長できる。A2,A3,・・・Ai
と、順次、求めていき、全体の線路14が求められる。な
お、線路形状計測時の線路測定車30の走行位置は、A、
B、C、及びDのいずれにしてもよい。In FIG. 2, the center plate 25 of the front bogie 22 of the front vehicle 31, the center plate 25 of the rear bogie 23 of the front vehicle 31, the center plate 25 of the front bogie 22 of the rear vehicle 32, and the rear vehicle 32 The center plate 25 of the rear carriage 23 is designated A, B, C, and D, respectively. The length of the coupler 33 is short, and the distance d of the BC is equal to the distance of the front bogie 22.
And is assumed to be constant regardless of the relative refraction angle γ of the rear vehicle 32. Let A0, B0, C0, D0, and γ0 be the positions and γ of the start points of the track measuring vehicles 10 of A, B, C, and D, and let Ai, Bi, Ci, and be the positions and γ of the i-th point counted therefrom. D
i and γi. In the track measuring vehicle 30 shown in FIG. 2, the track 14 at the start point is a straight line, and A0, B0, C0, and D0 are aligned on a straight line.
0, B0, C0, and D0 are not limited to being aligned on a straight line, but may be aligned on a known curve. ), Γ0
= 0. The track measuring vehicle 30 moves forward with the front vehicle 31 as the front side, and a predetermined amount Δx (Δx ≦ (starting line segment A
0D0 length) / 2) Measure γ every time it advances. A
Since the shape of the line 14 between 0 and D0 is known, C1 and D1 can be determined on a known line shape from Δx.
Next, the position of B1 is determined from the distances d and γ of the BC, and a predetermined distance point from B1 is defined as A1 on a straight line that passes B1 and has a slope γ with respect to the line segment C1D1, and A1 (and B1) ahead of A0. )
The shape of the track 14 can be extended up to that point. A2, A3, ... Ai
Are sequentially obtained, and the entire line 14 is obtained. The traveling position of the track measuring vehicle 30 at the time of track shape measurement is A,
Any of B, C, and D may be used.
【0028】また、ABの距離及びCDの距離を共に等
しい値としてのaとし、BCの距離をbとしたとき、曲
率半径をRiは、Ri=(a+b)/γより求めることが
できる。また、この曲率半径Riは、線分ABの中点M
a、線分CDの中点Mb、線分MaMbの中点Mcとする
と、線路14のMcにおける曲率半径とする。Also, when the distance of AB and the distance of CD are both set to the same value a and the distance of BC is set to b, the radius of curvature can be obtained from Ri = (a + b) / γ. The radius of curvature Ri is equal to the midpoint M of the line segment AB.
a, the midpoint Mb of the line segment CD and the midpoint Mc of the line segment MaMb are defined as the curvature radius of the line 14 at Mc.
【図1】線路測定車が線路の軌道曲がり角度等を検出し
ている状況を上方から示す図である。FIG. 1 is a diagram illustrating, from above, a situation where a track measuring vehicle detects a track turning angle and the like of a track.
【図2】別の線路測定車が線路の軌道曲がり角度等を検
出している状況を上方から示す図である。FIG. 2 is a diagram illustrating, from above, a situation in which another track measuring vehicle detects a track turning angle or the like of the track.
【図3】図2の線路測定車の前側車両及び後ろ側車両の
連結部の拡大図である。FIG. 3 is an enlarged view of a connecting portion of a front vehicle and a rear vehicle of the track measuring vehicle of FIG. 2;
【図4】図1の線路測定車の場合に連結棒の後端部が測
定機器装備車両の左右中心線に対して偏倚しかつ測定機
器装備車両の前端部に結合していたときにその連結棒の
傾斜角θ'を測定機器装備車両の前側の心皿からの傾斜
角θに換算する説明図である。FIG. 4 shows the connection of the track measuring vehicle shown in FIG. 1 when the rear end of the connecting rod is displaced with respect to the center line of the vehicle equipped with the measuring equipment and is connected to the front end of the vehicle equipped with the measuring equipment. FIG. 7 is an explanatory diagram for converting a tilt angle θ ′ of a rod into a tilt angle θ from a center plate on a front side of a vehicle equipped with a measuring device.
【図5】図4で求めたθから曲率半径を算出する説明図
である。5 is an explanatory diagram for calculating a radius of curvature from θ obtained in FIG. 4;
10 線路測定車(軌道形状検出装置、軌道曲率半径
検出装置) 11 測定機器装備車両(後ろ側車両) 12 一軸台車(前側車両) 13 連結棒(連結手段) 14 線路(軌道) 30 線路測定車(軌道形状検出装置、軌道曲率半径
検出装置) 31 前側車両 32 後ろ側車両 33 連結器(連結手段)DESCRIPTION OF SYMBOLS 10 Track measuring vehicle (track shape detecting device, track curvature radius detecting device) 11 Vehicle equipped with measuring equipment (rear vehicle) 12 Uniaxial bogie (front vehicle) 13 Connecting rod (connecting means) 14 Track (track) 30 Track measuring vehicle ( Track shape detecting device, track curvature radius detecting device) 31 Front vehicle 32 Rear vehicle 33 Coupler (connecting means)
Claims (6)
れて軌道(14)を走行する前側車両(12,31)及び後ろ側車
両(11,32)、(b)前記前側車両(12,31)及び前記後ろ側
車両(11,32)を相互に連結する連結手段(13,33)、(c)
走行位置を検出する走行位置検出手段、(d)前記前側
車両(12,31)、前記後ろ側車両(11,32)、及び前記連結手
段(13,33)の3者の内の2者の相対屈折角より各走行位
置での軌道曲がり角度又はその対応値を検出する軌道曲
がり角度検出手段、及び(e)前記走行位置検出手段及
び前記軌道曲がり角度検出手段の検出値に基づいて軌道
形状を求める軌道形状演算手段、を有していることを特
徴とする請求項記載の軌道形状検出装置。(A) a front vehicle (12, 31) and a rear vehicle (11, 32) disposed on a front side and a rear side and traveling on a track (14), respectively; (b) the front vehicle (12, 31); Connecting means (13, 33), (c) for interconnecting the rear vehicle (11, 32) and the rear vehicle (11, 32);
Traveling position detecting means for detecting a traveling position; (d) two of three of the front vehicle (12, 31), the rear vehicle (11, 32), and the connecting means (13, 33). Orbital angle detection means for detecting the orbital angle at each traveling position or its corresponding value from the relative refraction angle; and (e) estimating the orbital shape based on the detected values of the traveling position detection means and the orbital angle detection means. The trajectory shape detecting device according to claim 1, further comprising a trajectory shape calculation means.
棒(13)であり、前記軌道曲がり角度検出手段は、前記前
側車両(12,31)及び前記後ろ側車両(11,32)の一方に対す
る前記連結棒(13)の相対屈折角を軌道曲がり角度又はそ
の対応値として検出することを特徴とする請求項1記載
の軌道形状検出装置。The connecting means (13, 33) is a connecting rod (13) having a predetermined length, and the track turning angle detecting means is provided with the front vehicle (12, 31) and the rear vehicle (11, 33). The track shape detection device according to claim 1, wherein a relative refraction angle of the connecting rod (13) with respect to one of (32) is detected as a track bending angle or a corresponding value thereof.
側車両(12,31)及び前記後ろ側車両(11,32)の相対屈折角
を軌道曲がり角度又はその対応値として検出することを
特徴とする請求項1記載の軌道形状検出装置。3. The track turning angle detecting means detects a relative refraction angle of the front vehicle (12, 31) and the rear vehicle (11, 32) as a track turning angle or a corresponding value thereof. The track shape detecting device according to claim 1.
れて軌道(14)を走行するる前側車両(12,31)及び後ろ側
車両(11,32)、(b)前記前側車両(12,31)及び前記後ろ
側車両(11,32)を相互に連結する連結手段(13,33)、
(c)前記前側車両(12,31)、前記後ろ側車両(11,32)、
及び前記連結手段(13,33)の3者の内の2者の相対屈折
角より各走行位置での軌道曲がり角度又はその対応値を
検出する軌道曲がり角度検出手段、及び(d)前記走行
位置検出手段の検出した軌道曲がり角度又はその対応値
に基づいて各走行位置での軌道曲率半径を求める軌道曲
率半径演算手段、を有していることを特徴とする請求項
記載の軌道曲率半径検出装置。4. A front vehicle (12, 31) and a rear vehicle (11, 32) which are respectively disposed on a front side and a rear side and run on a track (14), and (b) the front vehicle (12). , 31) and the connecting means (13, 33) for interconnecting the rear vehicles (11, 32),
(C) the front vehicle (12, 31), the rear vehicle (11, 32),
And a track bending angle detecting means for detecting a track bending angle or a corresponding value at each running position from a relative refraction angle of two of the three of the connecting means (13, 33); and (d) the running position The track curvature radius detecting device according to claim 1, further comprising a track curvature radius calculating unit that calculates a track curvature radius at each traveling position based on the track bending angle detected by the detecting unit or a corresponding value thereof. .
棒(13)であり、前記軌道曲がり角度検出手段は、前記前
側車両(12,31)及び前記後ろ側車両(11,32)の一方に対す
る前記連結棒(13)の相対屈折角を軌道曲がり角度又はそ
の対応値として検出することを特徴とする請求項4記載
の軌道曲率半径検出装置。5. The connecting means (13, 33) is a connecting rod (13) having a predetermined length, and the track turning angle detecting means is provided on the front vehicle (12, 31) and the rear vehicle (11, 33). 5. The track curvature radius detecting device according to claim 4, wherein a relative refraction angle of the connecting rod (13) with respect to one of (32) is detected as a track bending angle or a corresponding value thereof.
側車両(12,31)及び前記後ろ側車両(11,32)の相対屈折角
より軌道曲がり角度又はその対応値として検出すること
を特徴とする請求項4記載の軌道曲率半径検出装置。6. The track turn angle detecting means detects a track turn angle or a corresponding value from a relative refraction angle of the front vehicle (12, 31) and the rear vehicle (11, 32). The orbit radius of curvature detecting device according to claim 4.
Priority Applications (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
JP33944597A JP3148980B2 (en) | 1997-11-26 | 1997-11-26 | Track shape detector |
Applications Claiming Priority (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
JP33944597A JP3148980B2 (en) | 1997-11-26 | 1997-11-26 | Track shape detector |
Publications (2)
Publication Number | Publication Date |
---|---|
JPH11160005A true JPH11160005A (en) | 1999-06-18 |
JP3148980B2 JP3148980B2 (en) | 2001-03-26 |
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JP33944597A Expired - Fee Related JP3148980B2 (en) | 1997-11-26 | 1997-11-26 | Track shape detector |
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JP2007533878A (en) * | 2004-04-21 | 2007-11-22 | ジェイ.ミュラー エージー | Measuring method of road |
JP2011158372A (en) * | 2010-02-02 | 2011-08-18 | Railway Technical Research Institute | Method for measurement of curvature and curve radius in railroad track |
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JP2007533878A (en) * | 2004-04-21 | 2007-11-22 | ジェイ.ミュラー エージー | Measuring method of road |
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