Subharmonic Vibration of Order 1/2 in System under External Force with Constant Term

Abstract

In the case when a single-degree-of-freedom system, which has the symmetrical nonlinearity with a linear term and a cubic nonlinear term, is subjected to the periodic force containing a constant force, the possibility that a subharmonic vibration of order 1/2 appears has been suggested and its characteristic has been investigated. The necessary condition for the subharmonic vibration of order 1/2 is expressed by the parameters of damping, coefficient of cubic nonlinear term and constant force. Further the relationship between the constant force and the waveform of the subharmonic vibration is determined. The validity of the analysis has been shown by means of the experiment.