Export citation

Export citation

Choose format for download:

Download Citation

    Rocking, Rolling, and Jumping: Rigid and Soft Ellipsoids Move in Many Modes

    Shih-Yuan Chen* and Michelle M. Driscoll†

    • *Present address: Department of Chemical Engineering and Materials Science, University of Minnesota, Minneapolis, Minnesota, USA.
    • †Contact author: michelle.driscoll@northwestern.edu

    Phys. Rev. Lett. 137, 178201 – Published 19 October, 2026

    DOI: https://doi.org/10.1103/yd5k-f97m

    Abstract

    Rotating a nonspherical object introduces rich and surprising dynamics to a classical mechanics problem. It has been shown that a rolling ellipse in air can rock, roll, or jump along a flat surface. Even for a rolling sphere, deformability can significantly alter its mobility compared to a rigid counterpart. Here, we experimentally examine both transitions between motion modes and the role of deformability using a driven ellipsoid that can be either rigid or soft. Using a geometric framework, we successfully model the motion of the rigid ellipsoid and identify the critical angular velocity for the rolling-to-jumping transition. Since shape strongly influences motion modes, we further explore the role of deformability using a soft ellipsoid. By modifying the soft ellipsoid’s shape, we tune the rolling-to-jumping transition in situ, and observe that soft ellipsoids move more efficiently along ramps than their rigid counterparts.

    Physics Subject Headings (PhySH)

    Authorization Required

    We need you to provide your credentials before accessing this content.

    Supplemental Material (Subscription Required)

    References (Subscription Required)

    Outline

    Information

    Sign In to Your Journals Account

    Filter

    Filter

    Article Lookup

    Enter a citation