Port-based approach of complex distributed- parameter system models for analysis and simulation (TWI.6012)

he research aim of the project is to create a synthesis between two successful approaches to modelling and simulation of physical engineering
systems: the finite element approach to distributed-parameter system models, and the multi-physics port-based approach to lumped system models.

The purpose is the marriage of the accuracy and power of finite element methods, with the versatility, dynamics, and control of port-based modelling.

There are several aspects to this synthesis. First, the port-based formulation of continuous, or distributed, systems, such that the dynamics can adapt the changing boundary conditions, i.e., port input. Second, a general geometric Hamiltonian formulation, such that flow, effort, and power conservation are exact, for a systematic approach, which can extend to several physics domains, which, e.g., eventually should yield proper models for damping. Third, model reduction methods, which can handle the configuration dependent dynamics, such as pre-strain, or varying load, where the essential dynamics of a distributed element is retained for a simulation, without the numerical effort of FEM. Fourth, a library of segments (beam, plate, solids, etc.), material properties (conductance, rigidity, etc.), and port-types (welding, screws, airgap) which are the basis for continuous dynamics simulation in 20-sim. Eventually, the practical implementation in 20-sim should lead to adaptive design methods, where the configuration can be optimized globally during the simulations.