Mixed finite elements for port-Hamiltonian models of von Kármán beams

Authors

Andrea Brugnoli, Ramy Rashad, Federico Califano, Stefano Stramigioli, Denis Matignon

Abstract

A port-Hamiltonian formulation of von Kármán beams is presented. The variables selection lead to a non linear interconnection operator, while the constitutive laws are linear. The model can be readily discretized by exploiting a coenergy formulation and a mixed finite element method. The mixed formulation does not demand the H 2 regularity requirement typical of standard Galerkin discretization of thin structures. A numerical test is performed to assess the convergence rate of the solution.

Keywords

Port-Hamiltonian systems; von Kármán beams; Mixed Finite Elements

Citation

• Journal: IFAC-PapersOnLine
• Year: 2021
• Volume: 54
• Issue: 19
• Pages: 186–191
• Publisher: Elsevier BV
• DOI: 10.1016/j.ifacol.2021.11.076
• Note: 7th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2021- Berlin, Germany, 11-13 October 2021

BibTeX

@article{Brugnoli_2021,
  title={{Mixed finite elements for port-Hamiltonian models of von Kármán beams}},
  volume={54},
  ISSN={2405-8963},
  DOI={10.1016/j.ifacol.2021.11.076},
  number={19},
  journal={IFAC-PapersOnLine},
  publisher={Elsevier BV},
  author={Brugnoli, Andrea and Rashad, Ramy and Califano, Federico and Stramigioli, Stefano and Matignon, Denis},
  year={2021},
  pages={186--191}
}

Download the bib file

References

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