Static and dynamic snap-through behaviour of an elastic spherical shell

Karagiozova, D.; Zhang, X. W.; Yu, Tongxi

doi:10.1007/s10409-012-0065-z

Cited by 46 publications

(4 citation statements)

References 20 publications

(29 reference statements)

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“…When choosing a coefficient of restitution  = 0.5 and approximating the effect of dissipation with a linear dashpot with damping coefficient c d = 0.4 kg/s, we found excellent agreement between the two sets of data, with the model predicting y jump = max (y i (t)) = 41.4, 175, and 226 mm (see the Supplementary Materials for details). Hence, these results indicate that our simple mass-spring model, despite the fact that it cannot capture the complex dynamic behavior typical of shells (14,28,29), can accurately predict the jump height of our soft jumpers. Having confirmed the validity of our model, we then used it to calculate the y jump for all 4800 actuators considered in Fig.…”

Section: Improving the Actuators' Responsementioning

confidence: 86%

Inflatable soft jumper inspired by shell snapping

et al. 2020

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Fluidic soft actuators are enlarging the robotics toolbox by providing flexible elements that can display highly complex deformations. Although these actuators are adaptable and inherently safe, their actuation speed is typically slow because the influx of fluid is limited by viscous forces. To overcome this limitation and realize soft actuators capable of rapid movements, we focused on spherical caps that exhibit isochoric snapping when pressurized under volume-controlled conditions. First, we noted that this snap-through instability leads to both a sudden release of energy and a fast cap displacement. Inspired by these findings, we investigated the response of actuators that comprise such spherical caps as building blocks and observed the same isochoric snapping mechanism upon inflation. Last, we demonstrated that this instability can be exploited to make these actuators jump even when inflated at a slow rate. Our study provides the foundation for the design of an emerging class of fluidic soft devices that can convert a slow input signal into a fast output deformation.

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Section: Improving the Actuators' Responsementioning

confidence: 86%

Inflatable soft jumper inspired by shell snapping

et al. 2020

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“…The spherical shell is one of the simplest models to study the buckling instability of curved structures. The study of the buckling under a quasistatic load has been the subject of several numerical, theoretical [6][7][8][9][10], and experimental studies [10][11][12][13]. The main result is that the onset of the instability is reached when the displacement of the shell towards the surface is about twice the shell thickness, yet slightly dependent on the radius of the shell and on the Poisson ratio of the ball parent material [3].…”

Section: Introductionmentioning

confidence: 99%

Dynamical buckling of a table-tennis ball impinging normally on a rigid target: Experimental and numerical studies

et al. 2022

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We report on the dynamical buckling of a spherical shell (a table-tennis ball) impinging in normal incidence on a rigid surface (a glass plate). Experimentally, we observe and decipher the geometrical characteristics of the shell profile in the contact region along with global metrics such as the contact duration and the coefficient of restitution of the linear velocity. We determine, in particular, the onset of the ball buckling instability. We find that, just like in quasi-statics, the shell buckles when the crushing exceeds about twice the thickness of the shell. In addition, for launching conditions resulting in the ball elastic buckling, a drop of the restitution coefficient is observed. A companion numerical Finite Elements study is set to monitor the different sources of energy and reveals that the added energy loss is mainly due to the friction between the shell surface and the solid substrate.

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“…Stimulated by the modeling of the dynamic behavior of metal hollow sphere (MHS) materials, T.X. Yu and his group at the Hong Kong University of Science and Technology investigated uniaxial compression and impact on thin-walled hollow spheres, including experimental, numerical and theoretical studies of ping pong balls [4][5][6][7]. In particular, the images of the contact zone between a ping pong ball and a flat surface, as shown by Fig.…”

Section: Introductionmentioning

confidence: 99%

Impact Crushing and Rebound of Thin-Walled Hollow Spheres

Bao

2013

KEM

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The dynamic behavior of a thin-walled hollow sphere colliding onto a rigid wall has been studied by experiments, numerical simulation and analytical modeling, as reported in our previous papers. In the present paper, the impact crushing of metallic thin-walled hollow spheres onto rigid plates and the subsequent rebound are analyzed using finite element method. The effects of hollow sphere’s thickness-to-radius ratio, the material properties and the impact velocity on the dynamic responses are systematically investigated. The transition from axisymmetric dimpling to non-axisymmetric lobing is found to depend on the relative thickness of spheres and impact velocity; while the coefficient of restitution almost merely depends on impact velocity.

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Static and dynamic snap-through behaviour of an elastic spherical shell

Cited by 46 publications

References 20 publications

Inflatable soft jumper inspired by shell snapping

Inflatable soft jumper inspired by shell snapping

Dynamical buckling of a table-tennis ball impinging normally on a rigid target: Experimental and numerical studies

Impact Crushing and Rebound of Thin-Walled Hollow Spheres

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