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

Authors

David Roze, Mathis Raibaud, Thibault Geoffroy

Abstract

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.

Keywords

Distributed parameter systems; Numerical Methods; Hamiltonian dynamics; Port-Hamiltonian systems; Quadratization; Nonlinear string model; Finite elements method

Citation

• Journal: IFAC-PapersOnLine
• Year: 2024
• Volume: 58
• Issue: 6
• Pages: 226–231
• Publisher: Elsevier BV
• DOI: 10.1016/j.ifacol.2024.08.285
• Note: 8th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2024- Besançon, France, June 10 – 12, 2024

BibTeX

@article{Roze_2024,
  title={{Passive-guaranteed modeling and simulation of a finite element nonlinear string model}},
  volume={58},
  ISSN={2405-8963},
  DOI={10.1016/j.ifacol.2024.08.285},
  number={6},
  journal={IFAC-PapersOnLine},
  publisher={Elsevier BV},
  author={Roze, David and Raibaud, Mathis and Geoffroy, Thibault},
  year={2024},
  pages={226--231}
}

Download the bib file

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