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Solution Method and Application Verification of the K-curve as a Highway Transition Curve
KSCE Journal of Civil Engineering ( IF 2.2 ) Pub Date : 2021-04-23 , DOI: 10.1007/s12205-021-2193-0
Bing-hong Pan , Changpeng Wen , Kaiming Wang , Changjiang Liu , Linqi Chen

Because of the singular form and low flexibility of the clothoid as a highway transition curve in highway horizontal alignment, the K-curve, whose ratio of the chord-tangent angle to the tangential angle at any point is fixed, was proposed in a previous work, including the corresponding parametric equations and basic characteristics, and its high flexibility and various shapes were proved. Here, the application and verification of the K-curve in highway alignment is further studied. The solution methods of the K-curve for different connections are given. Through theoretical calculations and specific real-world examples, the geometric positions and lateral forces of the K-curve and the clothoid under different connection conditions are compared. The results show that the difference between the K-curve and clothoid in the above two aspects under a straight line-to-circle connection is greater than that under a circle-to-circle connection as an egg curve, and although the lateral force coefficient of the K-curve is smaller than that of the clothoid, the K-curve suffers from rapid change in the lateral force coefficient and a higher lateral acceleration change rate. Finally, the application conditions of the K-curve for highway alignment design are given with consideration of the centrifugal acceleration change rate.



中文翻译:

K曲线作为公路过渡曲线的求解方法及应用验证

由于回旋曲线在公路水平线形中作为公路过渡曲线的形式单一且柔韧性低,在前人的工作中提出了其任意点的弦切角与切线角之比固定的K曲线。 ,包括相应的参数方程和基本特征,证明了其高度的灵活性和各种形状。在这里,进一步研究了 K 曲线在公路线形中的应用和验证。给出了不同连接的K曲线的求解方法。通过理论计算和具体的实际例子,比较了不同连接条件下K曲线和回旋曲线的几何位置和侧向力。结果表明,直线-圆连接下上述两个方面的K曲线和回旋曲线的差异大于蛋形曲线连接下的圆-圆连接下的K曲线和回旋曲线,尽管侧向力系数K曲线比回旋曲线小,K曲线横向力系数变化快,横向加速度变化率较高。最后给出了考虑离心加速度变化率的K曲线在公路线形设计中的应用条件。K曲线受到横向力系数的快速变化和更高的横向加速度变化率的影响。最后给出了考虑离心加速度变化率的K曲线在公路线形设计中的应用条件。K曲线受到横向力系数的快速变化和更高的横向加速度变化率的影响。最后给出了考虑离心加速度变化率的K曲线在公路线形设计中的应用条件。

更新日期:2021-06-18
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