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Poisson bracket formulation of a higher-order, geometrically-exact beam. (English) Zbl 1458.35404

Summary: This paper investigates the Hamiltonian structure and Poisson bracket formulation of a higher-order, geometrically-exact Cosserat type beam with a deforming cross-section in terms of canonically conjugate variables.

MSC:

35Q74 PDEs in connection with mechanics of deformable solids
74K10 Rods (beams, columns, shafts, arches, rings, etc.)
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