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

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

*Corresponding author for this work

Research output: Contribution to journalConference articleAcademicpeer-review

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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 H2 regularity requirement typical of standard Galerkin discretization of thin structures. A numerical test is performed to assess the convergence rate of the solution.

Original languageEnglish
Pages (from-to)186-191
Number of pages6
JournalIFAC-papersonline
Volume54
Issue number19
Early online date19 Nov 2021
DOIs
Publication statusPublished - 2021
Event7th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2021 - Berlin, Germany
Duration: 11 Oct 202113 Oct 2021

Keywords

  • Mixed finite elements
  • Port-Hamiltonian systems
  • Von Kármán beams

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