缓和曲线弧长方程曲线定位的几点讨论

Some Discussions about the Curve Positioning Base on the Arc-length Equation of the Spiral Curve in Highways

根据缓和曲线特征表达式讨论高速公路缓和曲线弧长在曲线定位中的应用问题,分析缓和曲线特征参数A应用于曲线定位的难题和原因,介绍基于测地线密切理论确立的缓和曲线弧长方程及其应用的优势,列出缓和曲线弧长方程的应用例子及其简明定位方法.总结了缓和曲线弧长方程在推进交通路线设计、定位技术进步等方面具有科技意义的4点结论.

According to the expression of the spiral curve, the questions hidden in the arc-length positioning of the spiral curve in highways were discussed, and the problems with using feature parameter A upon the spiral curve positioning were analyzed. It presents the spiral curve arc-length equation and its using superiorities, based on the research of the osculation theory in geodesic line. Examples were given to illustrate the positioning technique depending on the spiral curve arc-length equation. There are 4 conclusions, which are of great scientific and technological significance.