Self-synchronized phenomena generated in rotor-type oscillators (1st report, on the influence of coupling condition between oscillators)

Self-synchronized phenomena generated in rotor-type oscillators mounted on a straight-line spring-mass system are investigated experimentally and analytically. In the present study, we examine the occurrence region and pattern of self-synchronization in two types of coupled oscillators : rigidly coupled oscillators and elastically coupled oscillators. The experimental results for self-synchronization are qualitatively in good agreement with the numerical computational results obtained by applying the shooting method. It is clarified that the occurrence regions of stable solutions are governed mainly by the linear natural frequency of each spring-mass system. The results of numerical analysis confirm that the self-synchronized solutions of the elastically coupled oscillators correspond to those of the rigidly coupled oscillators. In addition, the results obtained in the present study are compared with the previously reported results for a metronome system and a moving apparatus and the differences between the rotor-type oscillators and the pendulum-type oscillators are shown in terms of the construction of branches of self-synchronized solution and the stability.