1,208 research outputs found
On the port-Hamiltonian representation of systems described by partial differential equations
We consider infinite dimensional port-Hamiltonian systems. Based on a power
balance relation we introduce the port-Hamiltonian system representation where
we pay attention to two different scenarios, namely the non-differential
operator case and the differential operator case regarding the structural
mapping, the dissipation mapping and the in/output mapping. In contrast to the
well-known representation on the basis of the underlying Stokes-Dirac structure
our approach is not necessarily based on using energy-variables which leads to
a different port-Hamiltonian representation of the analyzed partial
differential equations.Comment: A definitive version has been published in ifac-papersonline.ne
The TDNNS method for Reissner-Mindlin plates
A new family of locking-free finite elements for shear deformable
Reissner-Mindlin plates is presented. The elements are based on the
"tangential-displacement normal-normal-stress" formulation of elasticity. In
this formulation, the bending moments are treated as separate unknowns. The
degrees of freedom for the plate element are the nodal values of the
deflection, tangential components of the rotations and normal-normal components
of the bending strain. Contrary to other plate bending elements, no special
treatment for the shear term such as reduced integration is necessary. The
elements attain an optimal order of convergence
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