On the discrete algorithm of maximum velocity curve about halfpipe

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.
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Bibliographic Details
Subjects:
Notations:technical sports training science technical and natural sciences
Published in:24th Chinese Control and Decision Conference (CCDC)
Language:English
Published: 2012
Online Access:https://www.researchgate.net/publication/271502490_On_the_discrete_algorithm_of_maximum_velocity_curve_about_halfpipe
Pages:697-681
Document types:article
Level:advanced