Port-Hamiltonian modeling of a geometrically nonlinear hyperelastic beam⁎⁎The first author acknowledges financial support from ANID/Becas/Doctorado Nacional/2021-21211290 (Chile) and the ISITE-BFC project - CPHS2D (France). The second author acknowledges the EIPHI Graduate School (contract ANR-17-EURE-0002). The third author acknowledges the MSCA Project MODCONFLEX 101073558 and the ANR Project IMPACTS ANR-21-CE48-0018. The fourth author acknowledges Chilean ANID projects FONDECYT 1231896 and BASAL FB0008.

Autor: Ponce, Cristobal, Wu, Yongxin, Le Gorrec, Yann, Ramirez, Hector
Zdroj: IFAC-PapersOnLine; January 2024, Vol. 58 Issue: 6 p309-314, 6p
Abstrakt: 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.
Databáze: Supplemental Index