Transition Curve Modeling with Kinematical Properties: Research on Log-Aesthetic Curves

被引：7
作者：
Arslan, Abdullah [1 ]
Tari, Ergin [1 ]
Ziatdinov, Rushan [2 ,3 ]
Nabiyev, Rifkat I. [3 ,4 ]
机构：
[1] Department of Computer and Instructional Technologies, Fatih University, Istanbul
来源：
Computer-Aided Design and Applications | 2014年 / 11卷 / 05期
关键词：
curvature; lateral change of acceleration; log-aesthetic curve; monotone curvature; pseudospiral; route alignment; spiral;
D O I：
10.1080/16864360.2014.902680
中图分类号：
学科分类号：
摘要：
Log-aesthetic curves (LACs), which are generally used in industrial design for aesthetic shape modeling, are examined for implementation as transition curves despite their non-trivial representation in terms of incomplete gamma functions, or Fresnel integrals which appear in the parametric equations of a certain spirals. The family of log-aesthetic curves includes well-known spirals as Euler, Nielsen, logarithmic spiral, and involutes of a circle. The horizontal geometry of the route can contain classical transition curves, which are formed by transition curve-circular arc-transition curves. In order to compare the examined family of log-aesthetic transition curves with the classical transition curve in terms of vehicle-road kinematics, the curvature and superelevation functions are derived, and functions of lateral change of acceleration (LCA) curves are obtained and illustrated graphically using a constant motion model. The discontinuities in the form of jumps in the graphs of the lateral change of acceleration are taken into consideration in order to compare log-aesthetic curves and clothoids. © 2014 CAD Solutions, LLC.
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页码：509 / 517
页数：8
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