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SUMMARY:Moving boundary value problems in the dynamics of structures - Fra
 ncesco Dal corso (University of Trento)
DTSTART:20190815T140000Z
DTEND:20190815T143000Z
UID:TALK128626@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:The dynamics of structures partially inserted into a frictionl
 ess sliding sleeve defines a moving boundary value problem revealing the p
 resence of an outward configurational force at the constraint\, parallel t
 o the sliding direction. The configurational force\, differing from that o
 btained the quasi-static case only for a negligible proportionality coeffi
 cient\, strongly affects the motion and introduces intriguing structural d
 ynamic response.  This will be shown through the two following problems:  
 <br>- The sudden release of a rod with a concentrated weight attached at o
 ne end [1]. The solution of a differential-algebraic equation (DAE) system
  provides the evolution\, where the elastic rod may slip alternatively in 
 and out from the sliding sleeve. The nonlinear dynamics eventually ends wi
 th the rod completely injected into or completely ejected from the constra
 int\;  <br>-&nbsp\; The vibrations of a periodic and infinite structural s
 ystem [2]. Through Bloch-Floquet analysis it is shown that the band gap st
 ructure for purely longitudinal vibration is broken so that axial propagat
 ion may occur at frequencies that are forbidden in the absence of a transv
 erse oscillation.  <br>Moreover\, conditions for which flexural oscillatio
 n may induce axial resonance are disclosed.  &nbsp\;  <br>The results repr
 esent innovative concepts ready to be used in advanced applications\, rang
 ing from soft-robotics to earthquake protection.  &nbsp\;  <br><span><br>A
 cknowledgments: Financial support from the Marie Sklodowska-Curie project 
 &#39\;INSPIRE - Innovative ground interface concepts for structure&nbsp\; 
 protection&#39\;</span>  PITN-GA-2019-813424-INSPIRE.  &nbsp\;  <br><br>[1
 ]&nbsp\; Armanini\, Dal Corso\, Misseroni\, Bigoni (2019). Configurational
  forces and nonlinear structural dynamics. J. Mech. Phys. Solids\, doi:  1
 0.1016/j.jmps.2019.05.009  <br>[2] Dal Corso\, Tallarico\, Movchan\, Movch
 an\, Bigoni\, (2019). Nested Bloch waves in elastic structures with config
 urational forces. Phil. Trans. R. Soc.  A\, doi: 10.1098/rsta.2019.0101
LOCATION:Seminar Room 1\, Newton Institute
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