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Title:

Port-Hamiltonian FE models for filaments

Document type:
Konferenzbeitrag
Contribution type:
Textbeitrag / Aufsatz
Author(s):
Thoma, T.; Kotyczka, P.
Pages contribution:
pp. 353-358
Abstract:
In this article, we present the port-Hamiltonian representation, the structure pre serving discretization and the resulting finite-dimensional state space model of one-dimensional filaments based on a mixed finite element formulation. Due to the fact that the equations of motion of a filamentous body are based on the theory of geometrically nonlinear mechanical systems, the port-Hamiltonian formulation is expressed by means of its co-energy (effort) variables. The resulting port-Hamiltonian stat...     »
Keywords:
port-Hamiltonian systems; mixed finite elements; geometrically nonlinear mechanical systems; structure preserving discretization; filamentous bodies
Dewey Decimal Classification:
620 Ingenieurwissenschaften
Book / Congress title:
IFAC -PapersOnLine
Congress (additional information):
International Symposium on Mathematical Theory of Networks and Systems [MTNS, 25´th, Bayreuth, 2022]
Volume:
Vol. 55, Issue 30
Date of congress:
12.-16.9.2022
Publisher:
Elsevier ScienceDirect
Year:
2022
Reviewed:
ja
Language:
en
Fulltext / DOI:
doi:10.1016/j.ifacol.2022.11.078.
WWW:
https://doi.org/10.1016/j.ifacol.2022.11.078
TUM Institution:
Lehrstuhl für Regelungstechnik
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