五次代数式缓和曲线在公路线形设计中的应用

• 作 者: 吴江宁
• 机 构: 长沙交通学院土木工程系 助教
• 出 处: 长沙交通学院学报
• 发表日期: 1986年02期
• 关键词: 缓和曲线 公路线形设计 代数式 回旋线 路幅 参数方程 边线 在线型 赵嘉 曲率

本文是对赵嘉行老师在《公路缓和曲线线形探讨》一文中推导和推荐的五次代数式缓和曲线做的进一步论证和推广。文中导出了五次代数式缓和曲线的参数方程和曲线各元素的公式;并与相应的四旋线公式作了对比。本文还对路幅设计提出了实施方案。五次代数式缓和曲线在线型质量上较回旋线有较大提高,应用上也非常方便。它的进一步完善,将可以在公路线形设计方面显示出优越性。

This article is a further demonstration and promotion of the fifth-generation algebraic easement curve deduced and recommended by Zhao Jiaxing’s teacher in his article “A Discussion on the Linearization of Highway Mitigation Curves.” In this paper, the parametric equation of the fifth-order algebraic relaxation curve and the formulas of the elements of the curve are derived. The formulas of the fifth-order algebraic curves are compared with the corresponding fourth-line formulas. This article also put forward the implementation of road design. The fifth-order algebraic easement curve is more linear in quality than the mantle and is also very convenient in application. Its further refinement will show superiority in highway alignment design.