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Эта публикация цитируется в 17 научных статьях (всего в 17 статьях)
Further Development of the Mathematical Model of a Snakeboard
A. S. Kuleshov Department of Mechanics and Mathematics,
Lomonosov Moscow State University,
Main Building of MSU, Leninskie Gory, Moscow, 119992 Russia
Аннотация:
This paper gives the further development for the mathematical model of a derivative of a skateboard known as the snakeboard. As against to the model, proposed by Lewis et al. [13] and investigated by various methods in [1]-[13], our model takes into account an opportunity that platforms of a snakeboard can rotate independently from each other. This assumption has been made earlier only by Golubev [13]. Equations of motion of the model are derived in the Gibbs–Appell form. Analytical and numerical investigations of these equations are fulfilled assuming harmonic excitations of the rotor and platforms angles. The basic snakeboard gaits are analyzed and shown to result from certain resonances in the rotor and platforms angle frequencies. All the obtained theoretical results are confirmed by numerical experiments.
Ключевые слова:
Snakeboard, Gibbs–Appell equations, dynamics, analysis of motion.
Поступила в редакцию: 09.03.2007 Принята в печать: 02.05.2007
Образец цитирования:
A. S. Kuleshov, “Further Development of the Mathematical Model of a Snakeboard”, Regul. Chaotic Dyn., 12:3 (2007), 321–334
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd626 https://www.mathnet.ru/rus/rcd/v12/i3/p321
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