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math.NA2026
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…
math.NA2025
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…
math.NA2025
Discrete gradient methods for port-Hamiltonian differential-algebraic equations
Philipp L. Kinon, Riccardo Morandin, Philipp Schulze
Discrete gradient methods are a powerful tool for the time discretization of dynamical systems, since they are structure-preserving regardless of the form of the total energy. In t…