| 轨道交通中线测设统一数学模型的建立 |
| |
| 引用本文： | 吴浩,花向红,王新洲,周庆俊.轨道交通中线测设统一数学模型的建立[J].武汉大学学报(信息科学版),2002,27(5):478-482. |
| |
| 作者姓名： | 吴浩 花向红 王新洲 周庆俊 |
| |
| 作者单位： | 武汉大学测绘学院,武汉市珞喻路129号,430079 |
| |
| 基金项目： | 国家自然科学基金资助项目 (4 98740 0 2 ) |
| |
| 摘 要： | 根据对常用的两种中线测设数学模型的分析，从线路中线曲率半径的特点出发，提出了中线整体积分数学模型，并导出其计算公式。为了实现整体积分模型的计算，对龙贝格积分算法进行了改进，并用于武汉市轨道交通一号线一期工程的中线测设。比较和分析表明，从实用性和精度等方面来说，整体积分模型是目前轨道交通最优的中线测设模型。
|
| 关 键 词： | 数学模型 轨道交通 中线测设 中线整体积分模型 龙贝格积分 城市 |
| 文章编号： | 1000-050X(2002)05-0478-05 |
| 修稿时间： | 2002年5月28日 |
Establishment of Uniform Mathematics Model for Positioning the Center-line of Rail Transit |
| |
| WU Hao,HUA Xianghong,WANG Xinzhou,ZHOU Qingjun.Establishment of Uniform Mathematics Model for Positioning the Center-line of Rail Transit[J].Geomatics and Information Science of Wuhan University,2002,27(5):478-482. |
| |
| Authors: | WU Hao HUA Xianghong WANG Xinzhou ZHOU Qingjun |
| |
| Institution: | WU Hao 1 HUA Xianghong 1 WANG Xinzhou 1 ZHOU Qingjun 1 |
| |
| Abstract: | The positioning of the centerline is an important job in the process of rail transit.It is different from those common centerlines in the criterion and way of positioning.On one hand,the common ways can not be applied to the positioning of rail transit.The reason is that the location stand can not be set in the intersection point and circle center of curve due to the countercheck of building and the influence of peculiar urban surface.The condition of perspective is often limited even if the location stand can be set.On the other hand,besides the selected laying off measurements and the precision of the known points,the precision of positioning centerline depends on the coordinate preciseness of the stake points to a great extent.The coordinates are given in the local reference frame by intercepting a few finite terms from the progression expression,or making use of the approximate azimuth angles and the length of chords.So it is inevitably influenced in the accuracy degree for the result of the coordinates.It is disadvantageous for the high precision requirements of rapid rail transit so that it results in disconnecting the subsection of the whole engineer.Therefore,we provide the centerline integral mathematics model to compute coordinates of stake points,which can accurately and quickly get the results in the uniform reference frame.The quantity surveyors are able to lay off the points of the stake in the centerline through the pole_coordinate measurement and free location measurement with facility. Based on analyzing two existing mathematics models,which have been used in the middle of laying off centerline,the centerline integral mathematics model as well as its formulas is introduced in this paper.According to the characteristics of curvature radius,the mathematic relation between the coordinates and mileages for random stake points in the centerline is established.In the course of numerical calculation,the improved Romberg integral algorithm is used to get the coordinates,which is helpful to process a large number of calculation tasks and meets the high accuracy requirements of rapid rail transit.Based on the above model and algorithm,we program its software with C ++ .In order to compare the integral mathematics model with other models,we also program the Tangent off_set method and the center of circle symmetry method.In practice,we respectively use three mathematics programs for Wuhan NO.1 Rapid Rail Transit Engineering.It proves that both the integral model and the center of circle symmetry method are superior to the Tangent off_set method in precision;while the integral model are superior to other models in practicability. |
| |
| Keywords: | rapid rail transit laying off center_line center_line integral model improved Romberg integral |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
