6 citations · 14 across the 7 of their papers we have counts for
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cs.CE2023★ 1 cited
Energy-consistent integration of mechanical systems based on Livens principle
Philipp L. Kinon, Peter Betsch
In this work we make use of Livens principle (sometimes also referred to as Hamilton-Pontryagin principle) in order to obtain a novel structure-preserving integrator for mechanical…
math.DS2023★ 6 cited
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…
math.DS2023★ 5 cited
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,…