Motion of the oloid on the horizontal plane

    2011, Vol. 7, No. 4, pp.  825-835

    Author(s): Kuleshov A. S., Hubbard M., Peterson D. L., Gede G.

    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
    Citation: Kuleshov A. S., Hubbard M., Peterson D. L., Gede G., Motion of the oloid on the horizontal plane, Rus. J. Nonlin. Dyn., 2011, Vol. 7, No. 4, pp.  825-835

    Download File
    PDF, 1.01 Mb

    Creative Commons License
    This work is licensed under a Creative Commons Attribution-NoDerivs 3.0 Unported License