A simple experimental system to illustrate the nonlinear properties of a linear chain under compression

A linear chain of spheres confined by a transverse harmonic potential experiences localized buckling under compression. We present simple experiments using gas bubbles in a liquid-filled tube to demonstrate this phenomenon. Our findings are supported semi-quantitatively by numerical simulations. In...

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Bibliographic Details
Published in:American journal of physics 2020-05, Vol.88 (5), p.347-352
Main Authors: Weaire, Denis, Irannezhad, Ali, Mughal, Adil, Hutzler, Stefan
Format: Article
Language:English
Subjects:
Buckling
Experiments
Harmonic analysis
Numerical analysis
Physics
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Summary:A linear chain of spheres confined by a transverse harmonic potential experiences localized buckling under compression. We present simple experiments using gas bubbles in a liquid-filled tube to demonstrate this phenomenon. Our findings are supported semi-quantitatively by numerical simulations. In particular, we demonstrate the existence of a critical value of compression for the onset of buckling.
ISSN:0002-9505
1943-2909
DOI:10.1119/10.0000667