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线路坐标的通用计算及代数系统验证
引用本文:李照中.线路坐标的通用计算及代数系统验证[J].石家庄铁道学院学报,2006,19(3):43-47.
作者姓名:李照中
作者单位:中铁十六局集团铁运工程有限公司 河北高碑店074000
摘    要:基于各类道路线型曲率呈线性变化的共同特性,给出了线元上任意点坐标方位角的统一计算公式,进而提出了适用于所有道路线型平面测设计算的中桩坐标、边桩坐标的数值积分通用公式,且在M icorsft Excel中得以实现。并对数值积分公式给出了相应的计算机代数系统验证方法。实例计算结果表明通用公式正确有效。

关 键 词:线元  曲率  中桩边桩坐标  数值积分  代数系统验证
文章编号:1006-3226(2006)03-0043-05
收稿时间:2006-06-20
修稿时间:2006年6月20日

The Universal Formulae for the Setting-out Computation of Route Coordinates and Validation with Computer Algebraic System
Li Zhaozhong.The Universal Formulae for the Setting-out Computation of Route Coordinates and Validation with Computer Algebraic System[J].Journal of Shijiazhuang Railway Institute,2006,19(3):43-47.
Authors:Li Zhaozhong
Institution:The Railway Transportation Limited Company ,China sixteenth Railway Group, Gaobeidian, 074000, China
Abstract:Based on the fact that curvature of any point on a curve line varies proportionally with its curve length for all types of curve elements,this paper proposes a set of formulae which are versatile for the plane coordinates computation in the setting out of routes,including the azimuth formula,the formulae in numerical form for the coordinates of centerline and side pegs.Also,the validation method with computer Algebraic system for the proposed universal formulae is given.All computations utilizing the universal formulae in this paper have been implemented in the Microsoft Excel.The computation results of a practical example have validated the applicability and efficiency of the formulae suite presented in this paper.
Keywords:curve element  curvature  coordinates of centerline and side pegs  universal formulae  numerical integral  validation with computer algebraic system
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