论文标题
关于UCI调节的赛车轨道设计的技术考虑
On technical considerations of UCI-regulated velodrome track design
论文作者
论文摘要
提出了一种针对UCI调节轨道的新型速度设计方法。数学模型使用微分几何形状形成三维统治表面。表面是安全区域，蓝色带和轨道区域的占用，后者由三种类型的细分组成：直线，圆圈和连接过渡曲线。在第一个原理方法之后，一般表达式源自Frenet-Serret关系，这是银行曲线和曲率曲线的函数，曲线段的长度和弯曲的半径。鉴于设计问题的不确定性质，在数值优化的框架内，使用目标函数的最小二乘最小化获得了特定的解决方案。提出了两种设计的计算机效果，即象限的对称组件以及一个不对称的组件，以证明该方法的多功能性，该方法可用于设计任何UCI类别的速度轨道和跟踪几何学规范。
A novel approach to velodrome design for UCI-regulated tracks is presented. The mathematical model uses differential geometry to form a three-dimensional ruled surface. The surface accounts for the safety zone, blue band, and track region, the latter of which is comprised of three types of segments: straight lines, the arcs of circles, and connecting transition curves. Following a first-principles approach, the general expressions are derived from the Frenet-Serret relations, as a function of the banking and curvature profiles, lengths of curve segments, and turn radii of the bends. Given the underdetermined nature of the design problem, particular solutions are obtained using a least-squares minimization of an objective function, within the framework of numerical optimization. Computer renderings of two designs, a symmetric assembly of quadrants as well as an asymmetric one, are presented to demonstrate the versatility of the approach, which may be used to design velodrome tracks of any UCI Category and track geometry specification.
