Nonlinear Free Vibration of Roller Chain Streched Vertically

抄録

As a chain has a comparatively large mean line density as well as a high modulus of elasticity for elongation, the linear theory assuming the constant tension during vibration is hardly valid. Therefore, when a roller chain containing link plates of an arbitrary shape is used in operation with a rather small tension with an arbitrary angle to the vertical direction, the temporal fluctuations of tension during vibration and the spatial variation of tension along the longitudinal direction seem to have a remarkable effect on the frequencies and the modes of natural vibration. The authors have analyzed the effect theoretically by regarding particularly the chain stretched vertically as a system having multple degrees of freedom. The authors have applied the method of separation of the variables to analyze the effect of the temporal fluctuation s of tension and used the perturbation method to analyze the effect of both the temporal fluctuations and the spatial variation of tension. In these analyses, the typical hard spring type characters of the resulting nonlinear vibrations have been confirmed.