Theory and Implementation of Coupled Port-Hamiltonian Continuum and Lumped Parameter Models
نویسندگان
چکیده
Abstract A continuous Galerkin finite element method that allows mixed boundary conditions without the need for Lagrange multipliers or user-defined parameters is developed. coupling of and Raviart-Thomas basis functions are used. The proven to have a Hamiltonian-conserving spatial discretisation symplectic time discretisation. energy residual therefore guaranteed be bounded general problems exactly conserved linear problems. 2D wave equation discretised modelled by making use port-Hamiltonian framework. This model verified against an analytic solution shown standard order convergence temporal error growth over grow linearly this method, which agrees with theoretical results. modal analysis performed verifies eigenvalues accurately converge exact eigenvalues, as mesh refined. framework bond-graph or, more generally, lumped parameter models, unifying two fields modelling continuum Hamiltonian systems. domain equivalent canonical forms. feature well causality interconnections other models. coupled, in monolithic manner, electromechanical actuator. combined also conserve exactly.
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ژورنال
عنوان ژورنال: Journal of Elasticity
سال: 2021
ISSN: ['0374-3535', '1573-2681']
DOI: https://doi.org/10.1007/s10659-021-09846-4