4 papers
Mixed finite element discretization of intrinsic geometrically exact beams for explicit multibody dynamics
Andrea Brugnoli, Philipp L. Kinon, Francesco Sanfedino +2
The Reissner-Simo and Hodges models are two equivalent continuous descriptions of finite-strain beam dynamics. The Reissner-Simo formulation uses displacements and rotations, while…
Port-Hamiltonian multibody dynamics: Lagrangian formulation, consistent interconnection, structure-preserving simulation and index-reduction
Lisa Latussek, Philipp L. Kinon, Peter Betsch
This work introduces a port-Hamiltonian (PH) model for constrained mechanical systems, which is directly derived from the Lagrangian equations of motion. The present PH framework i…
Mixed formulation and structure-preserving discretization of Cosserat rod dynamics in a port-Hamiltonian framework
Philipp L. Kinon, Simon R. Eugster, Peter Betsch
An energy-based modeling framework for the nonlinear dynamics of spatial Cosserat rods undergoing large displacements and rotations is proposed. The mixed formulation features inde…
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…