MATHEMATICAL MODEL OF THE SKATEBOARD

##article.authors##

  • Alexander S. Kuleshov

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skateboard##common.commaListSeparator## nonholonomic system##common.commaListSeparator## Gibbs-Appell equations##common.commaListSeparator## stability of motion

##article.abstract##

In the present paper we construct the mathematical model, describing the motion of the rider on a skateboard. The motion of the model is described in the absence of rider control. The equations of motion of the model are obtained in the form of Gibbs-Appell equations, and their stability analysis is fulfilled. The influence of different parameters of the model on its dynamics is investigated.

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##submissions.published##

2007-10-20

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Modelling / Simulation