Parametric Excitation in the Self-excited Vibration System with Dry Friction : 2nd Report, In the Neighborhood of the Region of Parametric Resonance

Abstract

In parametrically excited self-excitation systems with dry friction, approximate solutions outside the regions of parametric resonance of second order are obtained and it is ascertained that they are reasonable approximate solutions. Approximate solutions in the neighborhood of parametric resonance of firs order are obtained and critical frequencies where beat vibrations occur and disappear can be determined by the points of intersection of these solutions and parametric resonance curves of first order. By numerical results it is ascertained that this determination method of critical frequencies has high accuracy and the interaction between parametric excitation and self-excited vibration is discussed.