On the nonlinear transverse vibrations and stability of an axially accelerating beam

Abstract

Nonlinear vibrations and stability analysis of an axially Bernoulli type beam are investigated. The beam is on fixed supports and harmonically varying velocity about a constant mean value. The method of is used in the analysis. Nonlinear frequencies depending on vibration obtained. Stability and bifurcations of steady-state solutions are analyzed close to two times any natural frequency. It is shown that the amplitudes time for frequencies close to zero. The effect of fixed supports is discussed.