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Influencing factors of the dynamic hysteresis in varying compliance vibrations of a ball bearing

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Abstract

We focus on the hysteretic characteristics of the varying compliance (VC) principal resonance in a ball bearing. The branches of the periodic VC response are traced by the harmonic balance method and the alternating frequency/time domain technique (HB-AFT) embedding Arc-length continuation, and the stability of these solutions is investigated by using Floquet theory. We find that the resonant response displays a swallow-tail structure due to the coupling nonlinearities between the Hertzian contact and the bearing clearance, which differs from the soft hysteresis of the non-loss Hertzian contact resonances. Furthermore, we find that period-1 VC branch cannot completely characterize the response of the system for a large bearing clearance, because multiple instability regions may occur from the cyclic fold, the secondary Hopf bifurcations, supercritical and subcritical period doubling bifurcations, in which case co-existences of period-1, period-2, and even quasi-periodic VC motions emerge in the hysteretic resonant range.

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Authors and Affiliations

  1. Harbin Institute of Technology, School of Astronautics, Harbin, 150001, China

    ZhiYong Zhang, YuShu Chen & ZhongGang Li

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  1. ZhiYong Zhang
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  2. YuShu Chen
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  3. ZhongGang Li
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Correspondence to ZhiYong Zhang.

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Zhang, Z., Chen, Y. & Li, Z. Influencing factors of the dynamic hysteresis in varying compliance vibrations of a ball bearing. Sci. China Technol. Sci. 58, 775–782 (2015). https://doi.org/10.1007/s11431-015-5808-1

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  • DOI: https://doi.org/10.1007/s11431-015-5808-1

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