Passive-guaranteed modeling and simulation of a finite element nonlinear string model

This paper proposes to solve the dynamics of the Kirchhoff-Carrier nonlinear string model using the finite elements method. In order to ensure the power balance of the resulting finite dimensional model it is rewritten in the Port-Hamiltonian System (PHS) formalism. Using a discrete gradient and a q...

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Bibliographic Details
Published inIFAC-PapersOnLine Vol. 58; no. 6; pp. 226 - 231
Main Authors Roze, David, Raibaud, Mathis, Geoffroy, Thibault
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 2024
Subjects
Distributed parameter systems
Finite elements method
Hamiltonian dynamics
Nonlinear string model
Numerical Methods
Port-Hamiltonian systems
Quadratization
Nonlinear string model
Finite elements method
Hamiltonian dynamics
Distributed parameter systems
Numerical Methods
Port-Hamiltonian systems
Quadratization
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Summary:This paper proposes to solve the dynamics of the Kirchhoff-Carrier nonlinear string model using the finite elements method. In order to ensure the power balance of the resulting finite dimensional model it is rewritten in the Port-Hamiltonian System (PHS) formalism. Using a discrete gradient and a quadratization of the Hamiltonian, an explicit power-preserving numerical scheme is proposed. Results of simulation are presented.
ISSN:2405-8963
2405-8963
DOI:10.1016/j.ifacol.2024.08.285