Zobrazeno 1 - 10
of 29
pro vyhledávání: '"Thoma, Tobias"'
Publikováno v:
Proceedings in Applied Mathematics and Mechanics (2023), 23, e202300144
We provide a fully nonlinear port-Hamiltonian formulation for discrete elastodynamical systems as well as a structure-preserving time discretization. The governing equations are obtained in a variational manner and represent index-1 differential alge
Externí odkaz:
http://arxiv.org/abs/2306.17740
Publikováno v:
Proceedings of the 11th ECCOMAS Thematic Conference on Multibody Dynamics (2023), 1-10, Lisbon, Portugal, url: https://multibody2023.tecnico.ulisboa.pt/prog_MULTIBODY_WEB/MULTIBODY2023_PAPERS/ID_197_652_main.pdf
Port-Hamiltonian (PH) systems provide a framework for modeling, analysis and control of complex dynamical systems, where the complexity might result from multi-physical couplings, non-trivial domains and diverse nonlinearities. A major benefit of the
Externí odkaz:
http://arxiv.org/abs/2304.10957
Autor:
Thoma, Tobias1 (AUTHOR) tobias.thoma@tum.de, Kotyczka, Paul1 (AUTHOR), Egger, Herbert2 (AUTHOR)
Publikováno v:
Mathematical & Computer Modelling of Dynamical Systems. Dec2024, Vol. 30 Issue 1, p701-720. 20p.
Autor:
Thoma, Tobias, Kotyczka, Paul
In this article, we present the structure-preserving discretization of linear one-dimensional port-Hamiltonian (PH) systems of two conservation laws using discontinuous Galerkin (DG) methods. We recall the DG discretization procedure which is based o
Externí odkaz:
http://arxiv.org/abs/2212.08350
We consider the dynamics of an elastic continuum under large deformation but small strain. Such systems can be described by the equations of geometrically nonlinear elastodynamics in combination with the St. Venant-Kirchhoff material law. The velocit
Externí odkaz:
http://arxiv.org/abs/2202.02097
Autor:
Thoma, Tobias, Kotyczka, Paul
In this contribution we present how to obtain explicit state space models in port-Hamiltonian form when a mixed finite element method is applied to a linear mechanical system with non-uniform boundary conditions. The key is to express the variational
Externí odkaz:
http://arxiv.org/abs/2110.15608
Autor:
Kotyczka, Paul, Thoma, Tobias
In this article we present a novel discrete-time design approach which reduces the deteriorating effects of sampling on stability and performance in digitally controlled nonlinear mechanical systems. The method is motivated by recent results for line
Externí odkaz:
http://arxiv.org/abs/2104.14153