Markus Schöberl, Helmut Ennsbrunner, Kurt Schlacher,
"Modelling of piezoelectric structures - a Hamiltonian approach"
, in Troch Inge, in Mathematical and Computer Modelling of Dynamical Systems (MCMDS), Vol. 14, Nummer 3, Taylor & Francis, 4-2008, ISSN: 1387-3954
Modelling of piezoelectric structures - a Hamiltonian approach
Sprache des Titels:
This contribution is dedicated to the geometric description of infinite-dimensional port Hamiltonian systems with in- and output operators. Several approaches exist, which deal with the extension of the well-known lumped parameter case to the distributed one. In this article a description has been chosen, which preserves useful properties known from the class of port controlled Hamiltonian systems with dissipation in the lumped
scenario. Furthermore, the introduced in- and output maps are defined by linear differential operators. The derived theory is applied to the piezoelectric field equations
to obtain their port Hamiltonian representation. In this example, the electrical field strength is assumed to act as distributed input. Finally it is shown, that distributed
inputs, that are in the kernel of the input map act similarly on the system as certain boundary inputs.
Sprache der Kurzfassung:
Mathematical and Computer Modelling of Dynamical Systems (MCMDS)
Taylor & Francis
Anzahl der Seiten:
Notiz zur Publikation:
Schöberl M., Ennsbrunner H., Schlacher K.: Modelling of piezoelectric structures – a Hamiltonian approach In: Mathematical and Computer Modelling of Dynamical Systems (MCMDS), Vol. 14, No. 3, pp.179-193, ISSN: 1387-3954, 2008.