Abstract
In the previous paper, a collision vibration in continuous system excited by periodic displacement with arbitrary function was analyzed by the authors. A system of the steady state forced vibration in a cantilever beam having an attached mass at free-end was considered. The cantilever beam had structural damping in the beam, and it was being put in a viscous fluid with hydrodynamic drag. The attached mass collided elastically with the coil spring clamped on asymmetrical faces. In order to analyze an exact solution of the resulting vibration, the Fourier series method was applied to the system. And some resonance curves were constructed by numerical calculation. This paper deals with the method of stability analysis for the resulting vibration obtained in the previous paper. Stability criterion for the periodic solutions is analyzed utilizing variational equation of motion given from modal equation. Next, the stability charts for the resulting vibrations are constructed by numerical calculation. By using these charts, the stable branches for the resonance curves obtained in the previous paper are distinguished from the unstable ones. Furthermore, in order to clarify the influence of structural and external damping for the stability, the stability chart is also constructed taking the structural and external damping as parameter.
