Non-linear vibration of a travelling beam having an intermediate guide

The free and forced responses of a non-linear travelling beam having an int ermediate guide have been analysed. The guide is modelled as a purely elast ic constraint with no inertia. While a suitably located guide increases the natural frequencies, the friction present in the guide-beam interface tend s to destabilize the system. The presence of the guide reduces the vibratio n level by avoiding resonance conditions. The effect of the non-linear term is very sensitive to the location of the guide if the guide stiffness is s mall. It is suggested that the guide is placed near the antinode of the pre dominantly excited mode.