Markus Schöberl, Kurt Schlacher,
"Lagrangian and Port-Hamiltonian formulation for Distributed-parameter systems"
: Proceedings, 8th Vienna International Conference on Mathematical Modelling, 2015
Original Titel:
Lagrangian and Port-Hamiltonian formulation for Distributed-parameter systems
Sprache des Titels:
Englisch
Original Buchtitel:
Proceedings, 8th Vienna International Conference on Mathematical Modelling
Original Kurzfassung:
In this paper we consider distributed-parameter systems that allow for a Lagrangian or port-Hamiltonian formulation. We will distinguish the case
where the Lagrangian or the Hamiltonian depend on derivative variables (jet-variables) of first-order and the case where second-order
derivatives appear. This distinction will be important for the correct determination of the boundary conditions in the Lagrangian scenario
and for the investigation of possible boundary ports in the Hamiltonian picture. The derivation of the partial differential equations and the boundary terms/ports
will be accomplished in a geometric fashion by using the so-called Cartan-form. We visualize our results by mechanical examples such as beams and plates.
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