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Title:

Generalized Maxwell viscoelasticity for geometrically exact strings: Nonlinear port-Hamiltonian formulation and structure-preserving discretization

Document type:
Konferenzbeitrag
Contribution type:
Textbeitrag / Aufsatz
Author(s):
Kinon, P.L.; Thoma, T.; Betsch, P.; Kotyczka, P.
Pages contribution:
pp. 101-106
Abstract:
This contribution proposes a nonlinear and dissipative infinite-dimensional port-Hamiltonian (PH) model for the dynamics of geometrically exact strings. The mechanical model provides a description of large deformations including finite elastic and inelastic strains in a generalized Maxwell model. It is shown that the overall system results from a power-preserving interconnection of PH subsystems. By using a structure-preserving mixed finite element approach, a finite-dimensional PH model is deri...     »
Keywords:
discrete gradients; ; generalized Maxwell model; mixed finite elements; Nonlinear port-Hamiltonian systems; ; structure-preserving discretization
Dewey Decimal Classification:
620 Ingenieurwissenschaften
Editor:
Ramirez H
Book / Congress title:
IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control, LHMNC [8th, 2024]
Volume:
IFAC-PapersOnLine
Edition:
Vol. 58, Issue 6
Date of congress:
10.-12.6.2024
Publisher:
Elsevier B.V.
Date of publication:
01.06.2024
Year:
2024
Year / month:
2024-06
Month:
Jun
Covered by:
Scopus
Bookseries ISSN:
24058971
Reviewed:
ja
Language:
en
Fulltext / DOI:
doi:10.1016/j.ifacol.2024.08.264
Semester:
SS 24
TUM Institution:
Lehrstuhl für Regelungstechnik
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