计算既有铁路曲线坐标法拔距的一种新方法

刘永孝; 刘学毅; 杨俊斌; 代丰

doi:10.3969/j.issn.0258-2724.2013.05.007

计算既有铁路曲线坐标法拔距的一种新方法

doi: 10.3969/j.issn.0258-2724.2013.05.007

基金项目:

铁道部科技开发计划资助项目(2011G001)

计量
- 文章访问数: 1189
- HTML全文浏览量: 91
- PDF下载量: 550
- 被引次数: 0
出版历程
- 收稿日期: 2012-11-14
- 刊出日期: 2013-10-25

New Method for Move Distance Calculation with Coordinate Method for Existing Railway Curve

摘要

摘要: 为克服传统方法计算缓和曲线段拨距时,用弦长代替弧长引起的误差,基于坐标法整正既有铁路曲线的相关原理,提出了利用既有测点沿径向到拨后曲线的距离计算拨距的新方法.按照该方法,推导了测点的拨距及拨后坐标的计算公式,并将其计算结果与传统方法的计算结果进行了比较.结果表明,采用传统的坐标法计算拨距时,缓和曲线越长、半径越小,拨距和拨后正矢误差越大;拨距最大误差为1.3 mm,拨后正矢误差最大值为1.0 mm.
- 既有铁路曲线 /
- 曲线整正 /
- 坐标法 /
- 拨后正矢 /
- 误差分析
Abstract: To overcome the error resulted from substituting chord length for arc length in the traditional method to calculate the move distance of a transition curve, based on the theories related to existing railway curve realignment by the coordinate method, a new method to calculate move distance was put forward by using the distance from the existing measurement points to the points on the moved curve in the radial direction. The analytical method was utilized to derive the calculation formulas of move distance and moved coordinates of measure points. The calculation results were compared to those calculated by the traditional method. The results indicate that the traditional coordinate method to calculate move distance has errors, and the errors of the move distance and moved versine increase with increasing of transition curve length and decreasing of its radius. With the traditional method, the maximum errors of the move distance and moved versine reach 1.3 and 1.0 mm, respectively.
- existing railway curve /
- curve realignment /
- coordinate method /
- moved versine /
- error analysis

HTML全文

参考文献(17)

曹志军,孙宏伟. 铁路曲线轨道方向整正方法的研究与改进[J]. 铁道建筑技术,2002,22(3): 46-49. CAO Zhijun, SUN Hongwei. Research on the adjusting method of the railway curve[J]. Railway Construction Technology, 2002, 22(3): 46-49.

铁道第二勘察设计院. 铁路测量手册[M]. 北京:中国铁道出版社,1998: 120-126.

潘正风,方坤生,杨育林. 坐标法进行铁路曲线放样和既有曲线测量[J]. 武汉测绘科技大学学报,1999,24(增刊): 35-37. PAN Zhengfeng, FANG Kunsheng, YANG Yulin. Railroad curve layout and existing curve survey by using coordinate method[J]. Journal of Wuhan Technical of Surveying and Mapping, 1999, 24(Sup.): 35-37.

丁克良,刘成. GPS RTK技术在铁路既有线勘测中的应用[J]. 中国铁道科学,2005,26(2): 49-53. DIN Keliang, LIU Cheng. Application of GPS real time kinematic technique for existing railway line survey[J]. China Railway Science, 2005, 26(2): 49-53.

周宪忠. 关于我国高速铁路缓和曲线的探讨[J]. 西南交通大学学报,1996,31(1): 69-74. ZHOU Xianzhong. Optimization of unequal length easement curve and radius of curve in existing railroads[J]. Journal of Southwest Jiaotong University, 1996, 31(1): 69-74.

鲁永辰. 坐标法复测既有铁路曲线[J]. 铁道勘察,2006,32(3): 15-17. LU Yongchen. Re-surveying the curves of the existing railways with the method of coordinate[J]. Railway Investigation and Surveying, 2006, 32(3): 15-17.

李红艳,陈治亚. 铁路既有线曲线复测计算方法[J]. 中国铁道科学,2009,30(2): 18-21. LI Hongyan, CHEN Zhiya. Some calculation method for curve re-surveying of the existing railway line[J]. China Railway Science, 2009, 30(2): 18-21.

何恩祥,陆亚军. 既有铁路曲线半径选择的目标函数及优化方法研究[J]. 铁道学报,1990,12(3): 92-96. HE Enxiang, LU Yajun. The research on radius of the objective function and optimization method for existing railway curve[J]. Journal of the China Railway Society, 1990, 12(3): 92-96.

李家稳,陈峰. 坐标法优化拨距计算方法的研究[J]. 北方交通大学学报,2004,28(4): 34-36. LI Jiawen, CHEN Feng. Study of the move distance calculation method[J]. Journal of Northern Jiaotong University, 2004, 28(4): 34-36.

HABIB Z, SAKAI M. G2 Pythagorean hodograph quintic transition between two circles with shape control[J]. Computer Aided Geometric Design, 2007, 24(5): 252-266.

杨恒山,贺国山. 利用点到中线的垂距计算方法选择最佳既有曲线要素[J]. 铁道学报,2001,23(2): 112-115. YANG Hengshan, HE Guohong. The best existing curve elements are selected by using calculating method of distance from points to the center line[J]. Journal of the China Railway Society, 2001, 23(2): 112-115.

WALTON D J, MEEK D S. A controlled clothoid spline[J]. Computers and Graphics (Pergamon), 2005, 29(3): 353-363.

周宪忠. 既有线不等长缓和曲线和曲线半径优化方法的探讨[J]. 西南交通大学学报,1990,25(3): 53-60. ZHOU Xianzhong. Optimization of unequal length easement curve and radius of curve in existing railroads[J]. Journal of Southwest Jiaotong University, 1990, 25(3): 53-60.

TARI E. The new generation transition curves[J]. Bulletin of the Technical University of Istanbul, 2004, 54(1): 35-41.

刘永孝,刘学毅. 铁路既有曲线整正计算中基于坐标法的渐伸线误差分析研究[J]. 铁道学报,2012,34(4): 82-87. LIU Yongxiao, LIU Xueyi. Study on involute error in computation of existing railway curve relignment[J]. Journal of the China Railway Society, 2012, 34(4): 82-87.

YAGAHI K, ADACHI M, SATO Y. Analytical study on effects of form in transition curve[J]. Vehicle System Dynamic, 2004, 41(Sup.): 657-666.

郝赢. 改建既有线平面时对传统误差分析[J]. 铁道学报,1984,6(1): 71-83. HAO Ying. Error analysis of the conventional shift computation method for curves in the reconstruction of existing railroads[J]. Journal of the China Railway Society, 1984, 6(1): 71-83.

施引文献

附加材料(0)

访问统计

点击查看大图

计量

文章访问数: 1189
HTML全文浏览量: 91
PDF下载量: 550
被引次数: 0

计算既有铁路曲线坐标法拔距的一种新方法

doi: 10.3969/j.issn.0258-2724.2013.05.007

计量

出版历程

New Method for Move Distance Calculation with Coordinate Method for Existing Railway Curve

计量

出版历程

目录