Ultra-Subharmonic Oscillations in a Nonlinear Vibratory System

抄録

For demonstrating the occurrence of ultra-subharmonic oscillations, a theoretical analysis is carried out for a vibratory system with nonlinear spring characteristics of a fourth order polynomial of the displacement. The analysis shows that the ultra-subharmonic oscillations of the order 2/3 and 3/2 are easily induced, that the fourth order term is essential for the occurrence of the oscillation, and that the constant component of the oscillations caused by the fourth order term has a considerable effect on the response curve. By comparing with the analog-computer analysis, the theoretical analysis is shown to be valid.