分解虚交点法计算回头曲线坐标程序化设计及应用  

Programming Design and Application of Decomposing Virtual Intersection Method to Calculate the Coordinates of Turning Curve

作　　者：唐新宇 王振明 TANG Xinyu;WANG Zhenming(Shenzhen Road and Bridge Construction Group Co.,Ltd.,Shenzhen,Guangdong 518000,China)

机构地区：[1]深圳市路桥建设集团有限公司,广东深圳518000

出　　处：《黑龙江交通科技》2024年第7期15-22,26,共9页Communications Science and Technology Heilongjiang

摘　　要：在公路工程施工中标准缓和曲线的坐标计算方法已经被工程测量技术人员掌握并广泛应用。在实际工程项目中,测量放样经常会遇到特殊的曲线,回头曲线就是一种特殊的曲线形式,在立交匝道、林地公路、山区公路工程中常见。设计文件中只有交点参数的情况下,如果按照标准的缓和曲线交点法计算回头曲线坐标,其结果不正确。针对这个问题,采用分解虚交点法,把回头曲线转化为标准缓和曲线后,就可以用标准缓和曲线交点法进行回头曲线坐标计算。对回头曲线部分通过几何解析与缓和曲线要素公式建立数学模型,并进行程序化设计可以准确地算出回头曲线的坐标,避免用手工计算因复杂繁琐的公式造成人为的错误,也节省了计算过程消耗的时间。经工程实例分析和验证,用分解虚交点法计算的回头曲线坐标精度高,程序化设计后,加快了计算速度,提高了工作效率,避免了错误的发生。The coordinate calculation method for standard transition curves in highway engineering construction has been mastered and widely applied by engineering surveying technicians.In practical engineering projects,special curves are often encountered in surveying and setting out,and the turning curve is a special form of curve,which is common in overpass ramps,forest roads,and mountain road projects.The design file only has intersection parameters,and calculating the coordinates of the turning curve using the standard transition curve intersection method is incorrect.To address this issue,the decomposition virtual intersection method is used to convert the turning curve into a standard transition curve,and then the turning curve coordinates can be calculated using the standard transition curve intersection method;Establishing a mathematical model for the turning curve part through geometric analysis and transition curve element formulas,and programming can accurately calculate the coordinates of the turning curve,avoiding manual calculations caused by complex and cumbersome formulas and saving time in the calculation process;After analyzing and verifying engineering examples,the decomposition virtual intersection method has been used to calculate the coordinates of the turning curve with high accuracy.After programming design,the calculation speed is accelerated,work efficiency is improved,and errors are avoided.

关 键 词：回头曲线 缓和曲线 坐标计算 交点法 虚交点 

分 类 号：U412.3[交通运输工程—道路与铁道工程]