MATHEMATICAL MODEL OF THE SKATEBOARD

  • 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.
Published
2007-10-20