Nonlinear dynamics and stability of the skateboard
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In this paper the further investigation and development for the
simplified mathematical model of a skateboard with a rider are
obtained. This model was first proposed by Mont
Hubbard [12, 13]. It is supposed that there is no
rider’s control of the skateboard motion. To derive equations of
motion of the skateboard the Gibbs-Appell method is used. The
problem of integrability of the obtained equations is studied and
their stability analysis is fulfilled. The effect of varying
vehicle parameters on dynamics and stability of its motion is
examined.