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在高速公路线路设计中,为了适应不同的地形条件,常常用较多缓和曲线连接,这些缓和曲线连接方式多种多样,有正向、反向,有完整型和半截型等,它们的坐标计算有时比较复杂,需要根据连接形式运用多个数学模型。本文结合实际情况,分析了不同缓和曲线的特点,推导了每一段线元基于起始切点坐标系的计算公式,为编程计算提供了数学模型。
In the design of expressway lines, in order to adapt to different topographic conditions, more easing curves are often used to connect. These easing curves are connected in various ways, such as forward, backward, complete and half-cut types, and their coordinate calculation Sometimes more complicated, the need to use multiple mathematical models based on the connection. In this paper, according to the actual situation, the characteristics of different easement curves are analyzed, and the formula of each line element based on the starting point coordinate system is deduced, which provides a mathematical model for programming calculation.