Out-of-plane vibrations of a beam including non-linear inertia and non-linear curvature effects

Abstract

The harmonic, non-linear response and its stability, for a clamped-clamped/sliding beam subject to a planar excitation is investigated by a perturbation method taking into account the non-linear inertia and the non-linear curvature terms in the differential equations of motion. The influence of excitation and beam parameters in the planar and in the non-planar response of the beam is determined in detail and illustrated by several ‘response charts’.