Various nonlinear planar beam models are presented and discussed using a variational approach. Particular attention is paid to the introduction of the strain energy functional and the determination of suitable strain measures and kinematic descriptors. Shear deformability or non-deformability is emphasized as a qualifier between the different models. Some attention is also given to the case where the beam cross-section is deformable. Problems of dynamics and dissipation are mentioned to complete the discussion.
A Variational Approach to Address the Problem of Planar Nonlinear Beams
Giorgio I.
;Spagnuolo M.;Greco L.;D'Annibale F.;Cazzani A.
2024-01-01
Abstract
Various nonlinear planar beam models are presented and discussed using a variational approach. Particular attention is paid to the introduction of the strain energy functional and the determination of suitable strain measures and kinematic descriptors. Shear deformability or non-deformability is emphasized as a qualifier between the different models. Some attention is also given to the case where the beam cross-section is deformable. Problems of dynamics and dissipation are mentioned to complete the discussion.File in questo prodotto:
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