Overcurvature induced multistability of linked conical frusta: how a 'bendy straw' holds its shape.

@article{Bende2018OvercurvatureIM,
  title={Overcurvature induced multistability of linked conical frusta: how a 'bendy straw' holds its shape.},
  author={Nakul Prabhakar Bende and Tian Yu and N. A. Corbin and Marcelo A. Dias and Christian Santangelo and J A Hanna and Ryan C. Hayward},
  journal={Soft matter},
  year={2018},
  volume={14 42},
  pages={
          8636-8642
        }
}
We study the origins of multiple mechanically stable states exhibited by an elastic shell comprising multiple conical frusta, a geometry common to reconfigurable corrugated structures such as 'bendy straws'. This multistability is characterized by mechanical stability of axially extended and collapsed states, as well as a partially inverted 'bent' state that exhibits stability in any azimuthal direction. To understand the origin of this behavior, we study how geometry and internal stress affect… 

Figures from this paper

Design of an origami bendy straw for robotic multistable structures
This paper presents a soft cylindrical multi-stable origami structure based on “bendy straws”, consisting of multiple conical frusta mimicking the structure of a flexible drinking straw. These
Dynamics of reconfigurable straw-like elements
In this paper, we discuss the dynamic modeling of fluid-filled straw-like elements consisting of serially interconnected elastic frusta with both axisymmetric and antisymmetric degrees of freedom,
A Tunably Compliant Origami Mechanism for Dynamically Dexterous Robots
TLDR
This work designs origami energy-storing springs with a stiffness of 1035 N/m each and incorporates them into a three degree-of-freedom (DOF) tendon-driven spatial pointing mechanism that exhibits trajectory tracking accuracy less than 15% rms error within a ~2 cm^3 volume.
Buffering by buckling as a route for elastic deformation
  • D. Vella
  • Engineering
    Nature Reviews Physics
  • 2019
Thin objects are deformed in a range of applications and at a range of scales, from graphene and the actuators used in soft robots to the light sails of spacecraft. Such deformations are constrained,
Bistability and equilibria of creased annular sheets and strips
  • Tian Yu
  • Physics
    International Journal of Solids and Structures
  • 2022
A Programmably Compliant Origami Mechanism for Dynamically Dexterous Robots
We present an approach to overcoming challenges in dynamical dexterity for robots through programmably compliant origami mechanisms. Our work leverages a one-parameter family of flat sheet crease
Engineer Energy Dissipation in 3D Graphene Nanolattice Via Reversible Snap-Through Instability
  • Bo Ni, Huajian Gao
  • Materials Science, Engineering
    Journal of Applied Mechanics
  • 2019
Carbon micro/nanolattice materials, defined as three-dimensional (3D) architected metamaterials made of micro/nanoscale carbon constituents, have demonstrated exceptional mechanical properties,
A design approach to fully compliant multistable mechanisms employing a single bistable mechanism
Abstract A fully compliant multistable mechanism is a monolithic structure that is capable of staying at multiple positions without power input, and has many applications including switches, valves,
DESIGN OF A STEERABLE LAPAROSCOPIC ASPIRATOR-IRRIGATOR FlowFlex
...
...

References

SHOWING 1-10 OF 72 REFERENCES
Buckling of Naturally Curved Elastic Strips: The Ribbon Model Makes a Difference
We analyze the stability of naturally curved, inextensible elastic ribbons. In experiments, we first show that a loop formed using a metallic strip can become unstable if its radius is larger than
Dynamics of Snapping Beams and Jumping Poppers
We consider the dynamic snapping instability of elastic beams and shells. Using the Kirchhoff rod and Föppl-von Kármán plate equations, we study the stability, deformation modes, and snap-through
Origami tubes with reconfigurable polygonal cross-sections
TLDR
This work introduces and explores origami tubes with polygonal, translational symmetric cross-sections that can reconfigure into numerous geometries that have potential applications ranging from pipes and micro-robotics to deployable architecture in buildings.
“Wunderlich, Meet Kirchhoff”: A General and Unified Description of Elastic Ribbons and Thin Rods
The equations for the equilibrium of a thin elastic ribbon are derived by adapting the classical theory of thin elastic rods. Previously established ribbon models are extended to handle geodesic
Prestressed Morphing Bistable and Neutrally Stable Shells
This study deals with prestressed shells, which are capable of “morphing” under large deflexions between very different load-free configurations. Prestressing involves plastically curving a flat,
Geometrically controlled snapping transitions in shells with curved creases
TLDR
This work uses curved creases to imbue elastic shells with programmable fast “snapping” motion, providing a purely geometrical mechanism for designing multistable structures, thus circumventing the need for complex materials or fabrication methods in creating structures with fast dynamics.
Geometry and design of origami bellows with tunable response.
TLDR
A newly developed set of geometrical tools has found an analytic solution for all possible cylindrical rigid-face states of both Miura-ori and triangular tessellations and identified the parameters that control this emergent bistability.
International Journal of Solids and Structures
The manufacturing of multistable shells has been dominated by the use of pre-stressed and composite materials. Here we advocate the use of common materials through a simple design that requires no
Programmable Origami Strings
TLDR
These results demonstrate the capabilities of the proposed origami strings in accomplishing precise positioning and programed shape and function.
...
...