Energy-momentum-consistent simulation of planar geometrically exact beams in a port-Hamiltonian framework

Authors

Philipp L. Kinon, Peter Betsch, Simon R. Eugster

Abstract

We propose a new, port-Hamiltonian formulation for the highly nonlinear dynamics of planar geometrically exact beams, which are amenable to arbitrary large deformations and rotations. A structure-preserving spatial and temporal discretization procedure - using mixed finite elements and second-order time-stepping methods - is proposed. It is observed that the present approach is objective, locking-free and provides an exact discrete representation of the energy and angular momentum balance. By comparing the approach to a classical displacement-based scheme from the literature it is shown that the port-Hamiltonian formulation paves new ways for the design of energy-momentum schemes in computational mechanics. Numerical examples underline the applicability to flexible multibody systems and beneficial numerical performance.

Keywords

Planar Simo-Reissner beam; Port-Hamiltonian systems; Flexible multibody systems; Structure-preserving discretization; Mixed finite elements; Locking

Citation

• Journal: Multibody System Dynamics
• Year: 2025
• Volume:
• Issue:
• Pages:
• Publisher: Springer Science and Business Media LLC
• DOI: 10.1007/s11044-025-10087-9

BibTeX

@article{Kinon_2025,
  title={{Energy-momentum-consistent simulation of planar geometrically exact beams in a port-Hamiltonian framework}},
  ISSN={1573-272X},
  DOI={10.1007/s11044-025-10087-9},
  journal={Multibody System Dynamics},
  publisher={Springer Science and Business Media LLC},
  author={Kinon, Philipp L. and Betsch, Peter and Eugster, Simon R.},
  year={2025}
}

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