1/3-Harmonic and Parametric Combination Resonance of a Roller Chain : Vibration, Control Engineering, Engineering for Industry

Abstract

This paper reports on a comparison of the experimental and analytical results of the 1/3-harmonic and parametric combination resonance of a roller chain stretched vertically, which is regarded as a system with many degrees of freedom when the elongation of the chain during vibration is taken into account. A representative frictional coefficient is determined, and the influence of the phase angle between the forced displacement and the prescribed tension fluctuation on the combination resonance are examined using a chain with comparatively large friction. A comparison between characteristics of the combination resonances and the 1/3-harmonic vibration is also made. A good agreement between experimental and analytical results was confirmed.