Session T28: Focus Session: Shells, Plates, and Thin Films
8:00 AM–10:48 AM, Thursday, March 21, 2013
Room: 336
Sponsoring Unit:
GSNP
Chair: Katia Bertoldi, Harvard University
Abstract ID: BAPS.2013.MAR.T28.6
Abstract: T28.00006 : Whirling Skirts
9:24 AM–9:36 AM
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Abstract 
Authors:
James Hanna
(University of Massachusetts, Amherst)
Jemal Guven
(Universidad Nacional Aut\'{o}noma de M{\'{e}}xico)
Martin Michael M{\"{u}}ller
(Universit{\'{e}} de Lorraine)
Steady wave patterns may be observed on a rotating skirt. These patterns display a well-defined dihedral symmetry and are marked by strikingly sharp features. We capture these with a minimal model of traveling waves on an inextensible, flexible, rotating generalized-conical sheet. Conservation laws associated with the dynamics are used to reduce the Euler-Lagrange equations to a quadrature describing a particle in a potential. Analytical solutions are obtained; these are quantized by the extrinsic closure of the skirt. Coriolis forces play an essential role in establishing these configurations.
To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2013.MAR.T28.6