• Open Access

Twist-Induced Snapping in a Bent Elastic Rod and Ribbon

Tomohiko G. Sano and Hirofumi Wada
Phys. Rev. Lett. 122, 114301 – Published 22 March 2019; Erratum Phys. Rev. Lett. 129, 069901 (2022)
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Abstract

Snapping of a slender structure is utilized in a wide range of natural and manmade systems, mostly to achieve rapid movement without relying on musclelike elements. Although several mechanisms for elastic energy storage and rapid release have been studied in detail, a general understanding of the approach to design such a kinetic system is a key challenge in mechanics. Here we study a twist-driven buckling and fast flip dynamics of a geometrically constrained ribbon by combining experiments, numerical simulations, and an analytical theory. We identify two distinct types of shape transitions: A narrow ribbon snaps, and a wide ribbon forms a pair of localized helices. We construct a phase diagram and explain the origin of the boundary, which is determined largely by the geometry. We quantify the effects of gravity and clarify the timescale dictating the rapid flipping. Our study reveals the unique role of geometric twist-bend coupling in the fast dynamics of a thin constrained structure, which has implications for a wide range of biophysical and applied physical problems.

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  • Received 24 May 2018
  • Revised 12 January 2019

DOI:https://doi.org/10.1103/PhysRevLett.122.114301

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Interdisciplinary PhysicsPolymers & Soft Matter

Erratum

Erratum: Twist-Induced Snapping in a Bent Elastic Rod and Ribbon [Phys. Rev. Lett. 122, 114301 (2019)]

Tomohiko G. Sano and Hirofumi Wada
Phys. Rev. Lett. 129, 069901 (2022)

Authors & Affiliations

Tomohiko G. Sano1,2,* and Hirofumi Wada1,†

  • 1Department of Physical Sciences, Ritsumeikan University, Kusatsu, Shiga 525-8577, Japan
  • 2Research Organization of Science and Technology, Ritsumeikan University, Kusatsu, Shiga 525-8577, Japan

  • *tomohiko.transfer@gmail.com Present address: Flexible Structures Laboratory, Institute of Mechanical Engineering, École Polytechnique Fédérale de Lausanne, Lausanne, CH-1015, Switzerland.
  • hwada@fc.ritsumei.ac.jp

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Issue

Vol. 122, Iss. 11 — 22 March 2019

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