Port-Hamiltonian modeling of a geometrically nonlinear hyperelastic beam

Authors

Cristobal Ponce, Yongxin Wu, Yann Le Gorrec, Hector Ramirez

Abstract

This paper is concerned with the port-Hamiltonian modeling of a Timoshenko beam subject geometric nonlinearities through von Kármán strains, material nonlinearity considering hyperelasticity with the assumption of neo-Hookean or Mooney-Rivlin material, in addition to the incompressible deformation constraint that corresponds to the preservation of volume. The model is suitable for representing the behavior of rubber like beams within the range of moderate deformations and rotations. Numerical simulations are carried out to illustrate the accuracy of the proposed model.

Keywords

Port-Hamiltonian systems; Modeling; Timoshenko beam; Nonlinear systems

Citation

• Journal: IFAC-PapersOnLine
• Year: 2024
• Volume: 58
• Issue: 6
• Pages: 309–314
• Publisher: Elsevier BV
• DOI: 10.1016/j.ifacol.2024.08.299
• Note: 8th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2024- Besançon, France, June 10 – 12, 2024

BibTeX

@article{Ponce_2024,
  title={{Port-Hamiltonian modeling of a geometrically nonlinear hyperelastic beam}},
  volume={58},
  ISSN={2405-8963},
  DOI={10.1016/j.ifacol.2024.08.299},
  number={6},
  journal={IFAC-PapersOnLine},
  publisher={Elsevier BV},
  author={Ponce, Cristobal and Wu, Yongxin and Le Gorrec, Yann and Ramirez, Hector},
  year={2024},
  pages={309--314}
}

Download the bib file

References

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