6 citations · 13 across the 7 of their papers we have counts for
7 papers
Optimal Trajectory Control of Geometrically Exact Strings with Space-Time Finite Elements
Tobias Thoma, Paul Kotyczka
In this contribution, we present a variational space-time formulation which generates an optimal feed-forward controller for geometrically exact strings. More concretely, the optim…
Discrete nonlinear elastodynamics in a port-Hamiltonian framework
Philipp L. Kinon, Tobias Thoma, Peter Betsch +1
We provide a fully nonlinear port-Hamiltonian formulation for discrete elastodynamical systems as well as a structure-preserving time discretization. The governing equations are ob…
Port-Hamiltonian formulation and structure-preserving discretization of hyperelastic strings
Philipp L. Kinon, Tobias Thoma, Peter Betsch +1
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,…
Structure preserving discontinuous Galerkin approximation of one-dimensional port-Hamiltonian systems
Tobias Thoma, Paul Kotyczka
In this article, we present the structure-preserving discretization of linear one-dimensional port-Hamiltonian (PH) systems of two conservation laws using discontinuous Galerkin (D…
On the velocity-stress formulation for geometrically nonlinear elastodynamics and its structure-preserving discretization
Tobias Thoma, Paul Kotyczka, Herbert Egger
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…
Explicit Port-Hamiltonian FEM-Models for Linear Mechanical Systems with Non-Uniform Boundary Conditions
Tobias Thoma, Paul Kotyczka
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…
Symplectic discrete-time energy-based control for nonlinear mechanical systems
Paul Kotyczka, Tobias Thoma
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…