FREE-TRANSVERSE VIBRATIONS OF AN AXIALLY MOVING MASS

Abstract

In this paper the non-linear analysis of an axially moving mass has been presented. It is shown that upto a certain critical value of the transport velocity,the characteristic is similar to that of the stationary state. At the critical velocity, it departs from its non-linear behaviour and the vibration mode is the same as that of the linear case with zero transport velocity. For transport velocities greater than the critical, the non-linear period T .N decreases as the initial tension and the flexural parameter mu increases. These conclusions are not borne out in a linear analysis.