Abstract

This paper deals with subharmonic oscillations of order 1/2 and some types of summed-and-differential harmonic oscillations in a symmetrical rotating shaft system with quartic nonlinear spring characteristics. It is known that the restoring force of the shaft has intensive quartic nonlinearity, in addition to quadratic and cubic nonlinearities when the shaft is supported by double-row angular contact ball bearings. It is clarified in this paper that the nonlinear terms of the fourth power of coordinates have strong effects on these kinds of oscillations which are caused by nonlinear terms up to the third power. We theoretically analyzed these oscillations, paying attention to nonlinear components represented by the polar coordinates, and showed variations of the resonance curves and the occurrence of unstable vibrations. We also ascertained these phenomena in experiments.

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