Distributed port hamiltonian formulation of flexible beams under large deformations

In this paper, a formulation of flexible beams under large deformations for distributed parameter port Hamiltonian systems is presented. This model is one example of systems that have complex energy variables. For such a model, a unified modeling method is introduced with multivariable representation. First, a Stokes-Dirac structure is related to the calculus of variations by using a jet bundle formalism. Next, the flexible beams model is represented as the port Hamiltonian system. Finally, the model is compared to a conventional model and two reduced models