Classification of the post-buckling static and dynamic solutions of a beam under large, but forceless, bending and torsion
Résumé
The present work proposes a full classification of solutions for beam subjected to bending and torsion at both ends. The formulation is geometrically exact for large three-dimensional transformations, without hypothesis on thickness, slenderness or material. The study is based on analytical and explicit solutions on Kirchhoff rod. This leads on both quantitative and qualitatives observation that could be exploited for a large domain of applications. These observations concern both the static transformation and superimposed dynamical perturbations.