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math.NA2026
Mixed finite element discretization of intrinsic geometrically exact beams for multiplier-free 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…
math.DS2026
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…