Title :
On the discrete algorithm of maximum velocity curve about halfpipe
Author :
Jiang, Yushan ; Liu, Chao ; Ye, Yongjian ; Li, Jing ; Dong, Yizu
Author_Institution :
Dept. of Inf. & Comput. Sci., Northeastern Univ. at Qinhuangdao, Qinhuangdao, China
Abstract :
In this study, we consider some discrete method of Euler-Lagrange differential equation to solve the maximum descend velocity problem. This method was derived from the solving of brachistochrone problem. Considering the effect of the friction and centripetal force to the maximum velocity, we give an energy model defined by an integral form. According to conservation law of energy, using finite element method we make an iterative formula to approximate the maximum velocity.
Keywords :
approximation theory; curve fitting; differential equations; finite element analysis; force; friction; integral equations; iterative methods; sport; Euler-Lagrange differential equation; brachistochrone problem; centripetal force; discrete algorithm; energy conservation law; energy model; finite element method; friction; half-pipe curve; integral form; iterative formula; maximum descend velocity curve; maximum velocity approximation; Atmospheric modeling; Educational institutions; Equations; Force; Friction; Mathematical model; Shape; Centripetal Force; Difference; Euler-Lagrange Equation; Half-pipe; Maximum Velocity Curve;
Conference_Titel :
Control and Decision Conference (CCDC), 2012 24th Chinese
Conference_Location :
Taiyuan
Print_ISBN :
978-1-4577-2073-4
DOI :
10.1109/CCDC.2012.6244102
