三次几何样条曲线在立交平面线形设计中的应用研究  

Research on Application of Cubic Geometrical Splines in Interchange's Horizontal Alignment Design

作　　者：王福建[1] 邓学钧[1] 李方[1] 

机构地区：[1]东南大学

出　　处：《中国公路学报》1996年第2期34-41,共8页China Journal of Highway and Transport

摘　　要：本文在总结目前一些基于样条的曲线形设计思想和方法优缺点的基础上，针对立交匝道平面线形设计中经常遇到的“缓──圆──缓”组合形式，提出了基于三次几何样条曲线的线形设计计算方法，充分发挥样条曲线光滑连续、计算简便、与平面线形相一致的特点，建立了初步样条曲线（反映线位约束条件和布线设想）与线形组合形式及参数之间的依存关系，实现了样条曲线向平面线形的自动转化。该方法对开发高效的正交ＣＡＤ系统具有重要意义。From the summary of the advantages and disadvantages of some curved route design thoughts and methods based on splines,this paper presents the design method based on cubic geometrical splines for 'transition-circle-transition'combination form usually used in horizontal alignment design of interchange ramps,which gives full play to characteristics of cubic geometrical splines' smooth and continuity,simple calculation and correspondence with horizontal alignment,establishes relations between initial spline curves (indicating design restrictions and ideas for alignment location) and alignment's combination forms and parameters,converts automatically splines into horizontal alignments.

关 键 词：平面线形 几何样条曲线 公路 立交匝道 设计 

分 类 号：U412.352.1[交通运输工程—道路与铁道工程]