过山车立环轨道设计方法

Roller Coaster Loop Track Design Method

基于加速度研究过山车立环轨道曲线的设计方法。分别研究向心加速度恒定的立环曲线,加速度恒定的立环曲线和以欧拉螺线为基础的立环曲线。建立三种立环曲线的方程,通过数值方法进行求解,借助Matlab计算在给定初始条件和边界条件下的轨道曲线。以加速度为评判标准来分析三种曲线的优点和缺点,最终得到以加速度为基础的立环轨道曲线设计方法。

Based on the acceleration,the design method of roller coaster loop track curve is studied.Constant centripetal acceleration loop track、Constant G-force loop track and loop track based on the Euler Spiral are studied respectively.The equations of three kinds of loop track curves are established,solved by numerical method,and the track curves under given initial and boundary conditions are calculated by MATLAB software.Evaluate the three kinds of curve mentioned above and find the design method based on acceleration of Roller coaster loop track.