Subharmonic Oscillation of Order 1/3 in Roller Chain : 1st Report, Theoretical Analysis of the System Having Multiple Degrees of Freedom

抄録

The subharmonic oscillations of order 1/3 in a roller chain regarded as a system with multiple degrees of freedom are analysed under the boundary conditions that its one end is fixed and the other end is subject to lateral forced displacement. Such oscillations are excited by the fluctuations of tension, namely of the extension of the chain during vibration. The solutions for these subharmonic oscillations are obtained by applying the harmonic balance method. It is clear that only two kinds of these solutions can be realized with the limited regions of stability. Further, the modes of these vibrations and the fluctuation patterns of tension are determined and characters of their stable steady vibrations are discussed.