Abstract: We start from the energetical expressions of dynamical torsion of beams in terms of angular and warping displacement and velocity. We derive the stiffness and two mass matrices including both ...

Abstract: In order to study the free torsional oscillations of beams, two parameters are introduced—a torsion parameter and a warping parameter—each of them by means of a statistical definition. Using ...

Abstract: The study of uniform torsion of thin walled beams is done fairly easily in the thin wall beam case, the effects of thickness being neglected. Then, the classical Saint-Venant warping function ...