Mixed finite elements for port-Hamiltonian models of von Kármán beams
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 H2 regularity requirement typical of standard Galerkin discretization of thin structures. A numerical test is performed to assess the convergence rate of the solution.
Topics & Concepts
DiscretizationFinite element methodHamiltonian (control theory)MathematicsRate of convergenceInterconnectionGalerkin methodApplied mathematicsConvergence (economics)Operator (biology)Port (circuit theory)Mathematical analysisMathematical optimizationComputer scienceEngineeringStructural engineeringTelecommunicationsMechanical engineeringBiochemistryRepressorChannel (broadcasting)Economic growthGeneTranscription factorEconomicsChemistryControl and Stability of Dynamical SystemsAdvanced Numerical Methods in Computational MathematicsElasticity and Material Modeling