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Self-encapsulation, or the 'dripping' of an elastic rod.

Authors :
Bosi, F.
Misseroni, D.
Dal Corso, F.
Bigoni, D.
Source :
Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences. 7/8/2015, Vol. 471 Issue 2179, p1-15. 15p.
Publication Year :
2015

Abstract

A rod covering a fixed span is loaded at the middle with a transverse force, such that with increasing load a progressive deflection occurs. After a certain initial deflection, a phenomenon is observed where two points of the rod come in contact with each other. This is defined as the 'dripping point' and is when 'self-encapsulation' of the elastic rod occurs. Dripping seems at a first glance to be impossible and definitely cannot occur in the presence of 'ordinary' constraints (such as simple supports or clamps) at the ends of the span. However, the elastica governs oscillating pendulums, buckling rods and pendant drops, so that a possibility for self-encapsulation might be imagined. This phenomenon is indeed demonstrated (both theoretically and experimentally) to occur when at least one of the constraints at the ends of the rod is a sliding sleeve. This mechanical device generates a configurational force, causing the dripping of the rod, in a fully elastic set-up. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
13645021
Volume :
471
Issue :
2179
Database :
Academic Search Index
Journal :
Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences
Publication Type :
Academic Journal
Accession number :
109094055
Full Text :
https://doi.org/10.1098/rspa.2015.0195