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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2009, Volume 5, Number 4, Pages 625–632
(Mi nd117)
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This article is cited in 2 scientific papers (total in 2 papers)
On the motion of a ball without bouncing on a smooth plane
V. V. Vaskin, O. S. Naymushina Udmurt State University
Abstract:
We analyze domains of an axisymmetric ball with the shifted center mass motion without bouncing (i. e. in constant contact) on a smooth plane. We show that these domains belong to the region of parameters, corresponding to regimes of regular precession (the ball's axis about axis $z$). We also give explicit formulas for domain boundaries.
Keywords:
rigid body, motion without bouncing on a smooth plane.
Received: 03.12.2009
Citation:
V. V. Vaskin, O. S. Naymushina, “On the motion of a ball without bouncing on a smooth plane”, Nelin. Dinam., 5:4 (2009), 625–632
Linking options:
https://www.mathnet.ru/eng/nd117 https://www.mathnet.ru/eng/nd/v5/i4/p625
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Statistics & downloads: |
Abstract page: | 140 | Full-text PDF : | 54 | First page: | 1 |
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