铁路复心曲线计划正矢计算方法研究  

Research on Calculation Method for Railway Planning Versine of Centered Compound Curve

作　　者：刘永孝[1,2] 韩峰[1] 代丰[2] 付娜[2] 

机构地区：[1]兰州交通大学土木工程学院,甘肃兰州730070 [2]西南交通大学高速铁路线路工程教育部重点实验室,四川成都610031

出　　处：《兰州交通大学学报》2014年第3期160-165,共6页Journal of Lanzhou Jiaotong University

基　　金：铁道部科技开发计划资助项目(2011G001)

摘　　要：基于常用的计算双心复心曲线计划正矢的三种方法的原理基础,推导出其各自适用表达式,解决了复心曲线程序化这一难题.分别利用了绳正法、渐伸线法和坐标法的基本原理,先判断测点处在复心曲线的位置,再根据测点所处的曲线性质利用相应的公式来计算其计划正矢.计算的结果表明,3种方法的计算结果是非常接近的,用坐标法原理和渐伸线原理计算计划正矢的方法比传统的绳正法计算要简单,故可利用坐标法原理和渐伸线原理的计算方法来代替传统的绳正法计算其计划正矢.On the basis of the principle of three methods to calculate the planning versine of commonly used double heart compound curve,the respective applicable formulae of three methods are deduced so that the problem of the calculation routinization of planning versine of centered com-pound curve on railway is solved.The basic principle of string lining method,involute method and coordinate method are used,respectively.The location of measure points on centered compound curve is judged at first and then their planning versine is calculated by the related formula accord-ing to the features of curve where measure points are located.The calculation results show that the results obtained by three methods are very close to each other.The coordinate method and the method based on the involute theory are much easier than the traditional string lining method. Thus the coordinate method and the method based on the involute theory can be used to calculate the planning versine instead of the string lining method.

关 键 词：复心曲线 绳正法 设计坐标 渐伸线 计划正矢 

分 类 号：U216.426[交通运输工程—道路与铁道工程]