Variational Principles For Spin Systems And The Kirchhoff Rod

We obtain the affine Euler-Poincare equations by standard Lagrangian reduction and deduce the associated Clebsch-constrained variational principle. These results are illustrated in deriving the equations of motion for continuum spin systems and Kirchhoff's rod, where they provide a unified geometric interpretation.


Published in:
Journal Of Geometric Mechanics, 1, 417-444
Year:
2009
Keywords:
Laboratories:




 Record created 2011-12-16, last modified 2018-09-13


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