Skateboard dynamics. (English) Zbl 0900.70109
Summary: Dynamics of the controlled motion of a skateboard over rough horizontal plane is considered. The control is realized by means of purpose of change of displacements and turnings of a sportsman’s body. Propulsion force that provides the acceleration of skateboard and overcomes friction drag is produced by reaction forces of nonholonomic constraints. Differential equations of the motion are derived in Appell’s form. Dependence of the skateboard velocity and its trajectory on the motions of a sportsman’s body is obtained.
MSC:
| 70E15 | Free motion of a rigid body |
| 70F25 | Nonholonomic systems related to the dynamics of a system of particles |
| 92C10 | Biomechanics |
| 70E60 | Robot dynamics and control of rigid bodies |
References:
| [1] | Appell, P., Traite de mecanique rationnelle, T.2 (1953), Gaothier-Villars: Gaothier-Villars Paris, editeur · JFM 40.0751.01 |
| [2] | Krylov, N. M.; Bogoliubov, N. N., Introduction to Nonlinear Mechanics (1957), Princeton University Press: Princeton University Press Princeton · Zbl 0063.03382 |
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