Dynamic stability analysis of axially oscillating cantilever beams undertaking periodic impulsive force is investigated in this paper. Hybrid deformation variable modeling method by applying the Rayleigh-Ritz assumed mode method is employed to derive ...
Dynamic stability analysis of axially oscillating cantilever beams undertaking periodic impulsive force is investigated in this paper. Hybrid deformation variable modeling method by applying the Rayleigh-Ritz assumed mode method is employed to derive the equations of motion for axially oscillating beams undertaking impulsive force. Periodic impulse force is applied to the free end of cantilever beam in the axial direction. The impulse and momentum principle is used to obtain the dynamic response at the moment of the impulse instead of using the numerical integrator to solve the equations of motion. The effects of magnitudes and periods of the impulsive force on the dynamic stability of the beam are investigated through numerical studies.