MATHEMATICAL MODEL OF THE SKATEBOARD

Authors

  • Alexander S. Kuleshov

Keywords:

skateboard, nonholonomic system, Gibbs-Appell equations, stability of motion

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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Published

2007-10-20

Issue

24 International Symposium on Biomechanics in Sports (2006)

Section

Modelling / Simulation

License

Authors can retain copyright, while granting the International Society of Biomechanics in Sports (ISBS) the right of first publication.