BG Approximations of Multiphysics pH Distributed Systems with Finite Number of Ports

This paper proposes a procedure for the modeling of linear passive devices with distributed parameters as Hamiltonian systems with a finite number of ports, in the view of their coupling with external systems with lumped parameters (circuits). To obtain this particular Dirac structure, appropriate boundary conditions (BC) are used for the PDEs of several physical fields. Originally, they are Electric Circuit Element BC, here generalized for multidisciplinary fields such as elastic solids, acoustic and thermal devices Their internal field is discretized by the Finite Element Method, thus obtaining the stiffness, damping and mass matrices of a second order ODEs system, transformed then into a first order pH canonical form, having as interaction variables the flow and effort of each terminal.