过山车轨道空间曲率法横倾角设计

Design of Transverse Inclination for the Track of Roller Coaster via Space Curvature Method

介绍空间曲率法如何运用矩阵运算在3维向量空间内计算过山车轨道的理论横倾角,并将此方法计算的横倾角与投影法计算的进行对比以说明本方法的优势。具体以某一过山车轨道为例,说明通过两种方法计算的理论横倾角均可经优化获得相同的最优实际横倾角,但空间曲率法计算的理论横倾角更接近最优实际横倾角,故其可更快地获得最优实际横倾角且无需人工调整方向,为过山车轨道设计提供了更好的方法。

This paper proposed a space curvature method of calculating the ideal transverse inclination via matrix operation within3-Demensional vector space,and then compared the space curvature and transverses inclination calculated by this method with the one by projection,which indicated this method has patent advantages. Later then this paper took a track of roller coaster as an example,obtained the same optimum practical transverse inclination via each method specifically,however the space curvature method needs less time without modifying the direction manually,which would be a better way for the design of the track of roller coaster.