|
Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2011, Volume 7, Number 4, Pages 825–835
(Mi nd294)
|
|
|
|
This article is cited in 4 scientific papers (total in 4 papers)
Motion of the oloid on the horizontal plane
A. S. Kuleshova, M. Hubbardb, D. L. Petersonb, G. Gedeb a Lomonosov Moscow State University, Leninskie Gory 1, Moscow, 119991, Russia
b Department of Mechanical and Aeronautical Engineering,
University of California, Davis, CA 95616-5294
Abstract:
We present a kinematic analysis and numerical simulation of the toy known as the oloid. The oloid is defined by the convex hull of two equal radius disks whose symmetry planes are at right angles with the distance between their centers equal to their radius. The no-slip constraints of the oloid are integrable, hence the system is essentially holonomic. In this paper we present analytic expressions for the trajectories of the ground contact points, basic dynamic analysis, and observations on the unique behavior of this system.
Keywords:
oloid, rolling motion, holonomic system, kinematics.
Received: 25.04.2011 Accepted: 06.06.2011
Citation:
A. S. Kuleshov, M. Hubbard, D. L. Peterson, G. Gede, “Motion of the oloid on the horizontal plane”, Nelin. Dinam., 7:4 (2011), 825–835
Linking options:
https://www.mathnet.ru/eng/nd294 https://www.mathnet.ru/eng/nd/v7/i4/p825
|
Statistics & downloads: |
Abstract page: | 400 | Full-text PDF : | 192 | References: | 57 | First page: | 1 |
|