"Summed and Differential Harmonic" Oscillation in Nonlinear Vibratory Systems : Systems With Unsymmetrical Nonlinearity

Abstract

The author has studied on "summed and differential harmonic" oscillations occuring in rotating shaft systems, i.e., vibratory systems with gyroscopic terms. In the present paper, the authortreats "summed and differential harmonic" oscillations appearing in rectilinear vibratory systems, the nature of which is quite different from that of systems with gyroscopic terms. By analitical discussion, it is concluded that summed type only can take place in rectilinear vibratory systems while both summed and differential types can occur in rotating shaft systems. Further experimental results for two experimental apparatus having different construction from each other verify that "summed and differential harmonic" oscillations actually appear in rectilinear vibratory systems, and summed type only can take place.