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

Brugnoli, Andrea and Rashad, Ramy and Califano, Federico and Stramigioli, Stefano and Matignon, Denis Mixed finite elements for port-Hamiltonian models of von Kármán beams. ( In Press: 2021) In: Lagrangian and Hamiltonian Methodes for Nonlinear Control (LHMNLC 2021), 11 October 2021 - 13 October 2021 (Berlin, Germany).

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Abstract

A port-Hamiltonian formulation of von Kármán beams is presented. The variables selection leads 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 for standard Galerkin discretization of thin structures. A numerical test is performed to assess the convergence rate of the solution.

Item Type:Invited Conference
Audience (conference):International conference proceedings
Uncontrolled Keywords:
Institution:Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE-SUPAERO (FRANCE)
Other partners > University of Twente (NETHERLANDS)
Laboratory name:
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This work was supported by the PortWings project funded by the European Research Council [Grant Agreement No.787675]
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Deposited On:20 Sep 2021 14:02

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