On the Discrete Algorithm of Maximum Velocity Curve about Halfpipe

摘要：

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.

关键词： Difference Half-pipe Euler-Lagrange Equation Centripetal Force Maximum Velocity Curve

作者: Yushan Jiang Chao Liu Yongjian Ye Jing Li Yizu Dong

作者单位: Department of Information and Computing Science, Northeastern University at Qinhuangdao, Qinhuangdao Department of Information and Computing Science, Northeastern University at Qinhuangdao, Qinhuangdao Department of Electronics and Information, Northeastern University at Qinhuangdao, Qinhuangdao, 0660

会议类型: 国际会议

会议名称: The 24th Chinese Control and Decision Conference (第24届中国控制与决策学术年会 2012 CCDC)

会议地点: 太原

会议语种:英文

页码: 679-681

在线出版日期: 2012-05-23（万方平台首次上网日期，不代表论文的发表时间）