直线与缓和曲线斜交的直接解算法  

Direct arithmetic of skew intersection of a given line and the designed spiral

作　　者：覃辉[1] 

机构地区：[1]广东省科技干部学院建筑工程系,广东珠海519090

出　　处：《测绘科学》2010年第5期133-136,201,共5页Science of Surveying and Mapping

基　　金：广东省高等教育教学改革项目(2006036);"十一五"国家级规划教材建设项目(703)

摘　　要：本文提出了缓和曲线的拟合圆弧的概念,首先确定直线与拟合圆弧的交点,将拟合圆弧的交点桩号作为直线与缓和曲线交点的初始桩号,算出其中桩坐标与走向方位角,再由初始交点向直线作垂线算出初始桩号的改正数,实现了交点桩号的直接解算。This paper introduced affinity arc which is very close to a designed spiral.First it confirmed the skew intersection of a given line and the arc,second calculated its mileage which is regarded as a preliminary mileage of an intersection of the line and the designed spiral,then worked out its coordinate and bearing of forward direction,at last acquired a corrective value of preliminary mileage by drawing a line perpendicular to the given line from the initial intersectional point,thus the exact mileage of the intersection on the spiral could be obtained immediately.

关 键 词：拟合圆弧 垂线方程 初始桩号改正数 fx-5800P编程计算器 

分 类 号：U412.34[交通运输工程—道路与铁道工程]