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SUMMARY:Snaking\, dripping\, and fluttering of elastic rods - Professor Da
 vide Bigoni\,Department of Civil\, Environmental and Mechanical Engineerin
 g University of Trento\, Italy
DTSTART:20171208T140000Z
DTEND:20171208T150000Z
UID:TALK84471@talks.cam.ac.uk
CONTACT:46601
DESCRIPTION:The problem of an elastic rod deforming in a plane\, namely th
 e so-called ‘planar elastica’\, has a long history\, rooting to Jacob 
 Bernoulli (1654-1705)\, Daniel Bernoulli (1700-1782)\, Leonhard Euler (170
 7-1783)\, and Pieter van Musschenbroek (1692-1761)\, but is still actual a
 nd rich of applications\, sometimes unexpected.\nUsing the elastica theory
 \, configurational or ‘Eshelby-like’ forces are shown to arise in elas
 tic structures when a change in configuration is possible\, with a related
  release of energy. This concept has been developed theoretically and expe
 rimentally in a series of recent works involving: a clamped elastic rod fo
 rced to slip inside a sliding sleeve [1]\, the development of the so-calle
 d ‘elastica arm scale’ [2]\, the development of an elastica in the sha
 pe of a drop [3]\, an example of torsional locomotion [4] and serpentine m
 otion within a smooth channel [5].\nThe dynamics of an elastic rod in a ca
 ntilever configuration and subject to a tangential follower load of the 
 ‘Ziegler type’ at its end (the ‘Pfluger problem’) is finally addre
 ssed. This structure is subject to a Hopf bifurcation\, corresponding to t
 he initiation of the ‘flutter instability’. A new experimental set-up 
 has been designed\, produced and tested to realize the follower load. Expe
 riments provide the evidence of flutter and divergence instability and pro
 vide the first proof that damping sources have a destabilizing effect on t
 he system (the so-called ‘Ziegler paradox’).     \n\n         \nFrom l
 eft to right: a snake in a rigid and frictionless channel\, dripping and f
 luttering of an elastic rod\n\nReferences\n[1] Bigoni\, D\, Bosi\, F.\, Da
 l Corso\, F. and Misseroni\, D. (2014) Instability of a penetrating blade\
 , J. Mech. Phys.\nSolids vol. 64\, pp. 411–425.\n[2] Bosi\, F.\, Dal Cor
 so\, F.\, Misseroni\, D. and Bigoni\, D. (2014) An Elastica Arm Scale\, Pr
 oc. Royal Soc. A\, 470\,\n20140232.\n[3] F. Bosi\, D. Misseroni\, F. Dal C
 orso\, and D. Bigoni (2015) Self-encapsulation\, or the 'dripping' of an\n
 elastic rod Proc. Royal Soc. A\, vol. 471\, 20150195.\n[4] Bigoni\, D.\, D
 al Corso\, F.\, Misseroni\, D. and Bosi\, F. (2014) Torsional locomotion\,
  Proc. Royal Soc. A\, \n470\, 20140599.\n[5] Dal Corso\, F.\, Misseroni\, 
 D.\, Pugno\, N.M.\, Movchan\, A.B.\, Movchan\, N.V.\, Bigoni\, D. (2017).\
 nSerpentine locomotion through elastic energy release. Journal of the Roya
 l So\n
LOCATION:Department of Engineering - LR4
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