The fluid-filled cylindrical membrane container

Wang, C. Y.; Watson, L.T.

doi:10.1007/bf00052512

Cited by 31 publications

(6 citation statements)

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“…To estimate the squashing depth δ that measures the change in the vertical height of the cylinder in the squashed state, we neglect the bending energy of the thin shell (  h R) as compared with the energy due to stretching. In this case, the equilibrium shape of the gravity deformed cross-section of the cylinder filled with an incompressible fluid of density ρ l can be found by bal- www.nature.com/scientificreports www.nature.com/scientificreports/ ancing the tension T per unit axial length of the elastic shell with the hydrostatic pressure 56 . In particular, we obtain…”

Section: Theoretical Modelmentioning

confidence: 99%

Excitation of Faraday-like body waves in vibrated living earthworms

Maksymov

Pototsky

2020

Sci Rep

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Biological cells and many living organisms are mostly made of liquids and therefore, by analogy with liquid drops, they should exhibit a range of fundamental nonlinear phenomena such as the onset of standing surface waves. Here, we test four common species of earthworm to demonstrate that vertical vibration of living worms lying horizontally on a flat solid surface results in the onset of subharmonic Faraday-like body waves, which is possible because earthworms have a hydrostatic skeleton with a flexible skin and a liquid-filled body cavity. Our findings are supported by theoretical analysis based on a model of parametrically excited vibrations in liquid-filled elastic cylinders using material parameters of the worm’s body reported in the literature. The ability to excite nonlinear subharmonic body waves in a living organism could be used to probe, and potentially to control, important biophysical processes such as the propagation of nerve impulses, thereby opening up avenues for addressing biological questions of fundamental impact.

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Section: Theoretical Modelmentioning

confidence: 99%

Excitation of Faraday-like body waves in vibrated living earthworms

Maksymov

Pototsky

2020

Sci Rep

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“…To estimate the squashing depth δ that measures the change in the vertical height of the cylinder in the squashed state, we neglect the bending energy of the thin shell (h ≪ R) as compared with the energy due to stretching. In this case, the equilibrium shape of the gravity deformed crosssection of the cylinder filled with an incompressible fluid of density ρ l can be found by balancing the tension T per unit axial length of the elastic shell with the hydrostatic pressure [54]. In particular, we obtain ρ l gH = T (κ B −κ A ), where H is the height difference between the points A and B in Fig.5(left) and κ A,B denotes the curvature of the shell at the points (A, B).…”

Section: Theoretical Modelmentioning

confidence: 99%

Excitation of Faraday-like body waves in vibrated living earthworms

Maksymov

Pototsky

2019

Preprint

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Biological cells and many living organisms are mostly made of liquids and therefore, by analogy with liquid drops, they should exhibit a range of fundamental nonlinear phenomena such as the onset of standing surface waves. Here, we test four common species of earthworm to demonstrate that vertical vibration of living worms lying horizontally of a flat solid surface results in the onset of subharmonic Faraday-like body waves, which is possible because earthworms have a hydrostatic skeleton with a flexible skin and a liquid-filled body cavity. Our findings are supported by theoretical analysis based on a model of parametrically excited vibrations in liquid-filled elastic cylinders using material parameters of the worm's body reported in the literature. The ability to excite nonlinear subharmonic body waves in a living organism could be used to probe, and potentially to control, important biophysical processes such as the propagation of nerve impulses, thereby opening up avenues for addressing biological questions of fundamental impact.

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“…Demiray and Levinson [1] formulated the governing equations according to the equilibrium of force and the geometric boundary conditions, and obtained the analytic solution expressed in terms of elliptic integrals. Wang and Watson [2] studied the shapes of the structures in lightly or heavily pressurized conditions. Namias [3] found the approximate solutions, which covered a wider range of the low and high pressures than that of Wang and Watson [2].…”

Section: Introductionmentioning

confidence: 99%

“…Wang and Watson [2] studied the shapes of the structures in lightly or heavily pressurized conditions. Namias [3] found the approximate solutions, which covered a wider range of the low and high pressures than that of Wang and Watson [2]. Plaut and Suherman [4] reviewed the analytic and approximate solutions in terms of the pressure at the bottom of the tube and at the top.…”

Section: Introductionmentioning

confidence: 99%

Analytic Approach for the Study of Air and/or Liquid Filled Geomembrane Tube Sections on a Horizontal

Choi¹

2013

Journal of the Korea Society for Industrial and Applied Mathema

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ABSTRACT. This study considers an air and liquid-filled geomembrane tube section resting on a horizontal foundation. All quantities are normalized to obtain geometrically similar solutions in the static equilibrium condition. Analytic solutions are expressed in closed form. The solution for the air or liquid-filled tube section is derived systematically as an extreme case of the air and liquidfilled tube section. The validity of these solutions is confirmed by comparing to previous study, and some results are shown for the characteristic parameters and shapes of air and/or liquid-filled cases. Using the result of present study, one can estimate the shape and characteristic parameters of a tube section without numerical integrations or iterations.

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The fluid-filled cylindrical membrane container

Cited by 31 publications

References 0 publications

Excitation of Faraday-like body waves in vibrated living earthworms

Excitation of Faraday-like body waves in vibrated living earthworms

Excitation of Faraday-like body waves in vibrated living earthworms

Analytic Approach for the Study of Air and/or Liquid Filled Geomembrane Tube Sections on a Horizontal

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