Non-linear flexural-flexural-torsional-extensional dynamics of beams—II. Response analysis

Abstract The importance of including the effects of non-linear inertia and curvature in the analysis of the motion of a beam with a constant distance between supports is assessed. For this, the non-linear response of clamped-clamped and clamped-pinned beams to a harmonic load of frequency near the undamped natural frequency of the beam is investigated by a perturbation method.