Poisson Bracket Formulation of a Higher-Order Geometrically-Exact Beam

Keyword: Coupled Poisson's and Warping Effect, Geometrically-Exact Beam, Hamiltonian Structure, Large Deformation, Poisson Bracket Formulation

This article 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.