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Impact on floating membranes
Nicolas Vandenberghe1, Laurent Duchemin1
1Aix Marseille Université, CNRS, Centrale Marseille, IRPHE UMR 7342, F-13384 Marseille, France.
Physical Review. E
|June 15, 2016
Summary
Impacts on elastic membranes generate two waves: a longitudinal wave and a dispersive transverse wave. Wave dynamics resemble capillary waves, with applications in energy absorption.
Area of Science:
- Fluid dynamics
- Solid mechanics
- Wave propagation
Background:
- Thin elastic membranes on liquid pools deform upon impact.
- Impacts generate axisymmetric waves with distinct characteristics.
Purpose of the Study:
- To analyze the wave dynamics resulting from rigid body impact on a thin elastic membrane.
- To investigate the self-similar dynamics and buckling instability.
- To explore applications in impact energy absorption.
Main Methods:
- Theoretical analysis of membrane deformation and wave propagation.
- Identification of self-similar dynamics.
- Comparison with capillary wave phenomena.
Main Results:
- Two axisymmetric waves (longitudinal and transverse) propagate from the impact point.
- Transverse wave speed depends on local stretching.
- Wave dynamics exhibit time-dependent self-similarity.
- Buckling instability leads to radial wrinkles.
- Surface tension coefficient is impact-speed dependent.
Conclusions:
- The study reveals complex wave phenomena in fluid-body impact.
- Buckling instability and wave dynamics offer insights into energy absorption mechanisms.
- Findings have potential applications in impact energy dissipation systems.
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