三次样条曲线在山区公路线形设计中的应用  

Cubic Spline Curve in the Application of the Mountain Highway Alignment Design

作　　者：王永平[1] 樊志梅 

机构地区：[1]重庆交通大学交通运输学院,重庆市400074 [2]西南交通大学数学学院,成都市610031

出　　处：《北方交通》2014年第6期63-65,共3页Northern Communications

摘　　要：针对山区公路立交匝道选线难、线路控制难等问题,提出了将三次样条曲线应用于道路线形设计中,通过MATLAB软件对地形图上的控制点录入进行插值运算,模拟出路线的走向得到曲线的曲率变化规律。采用本方法能更好地满足公路设计中的路线连续、曲率连续、曲率变化率连续要求。用三次样条曲线设计道路线形可取得良好的成果。For solving problems of mountain highway＇ s and interchanges ramp＇ s line selection and control of roads line. Writer proposes the cubic spline curve application in the road alignment design. Through calculated and data entry by the MATLAB software, it can simulate roads trend and homologous curvature of curve move trend. This method can meet the highway route continuous, the curvature continuous, and curvature variation continuous meet requirements of roadg design. This method has been used in the design of some roads and achieved good results.

关 键 词：山区公路 线性设计 三次样条曲线 曲率 连续 

分 类 号：U412.36[交通运输工程—道路与铁道工程]