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

作　　者：ZHANG ZhiYong CHEN YuShu LI ZhongGang 

机构地区：[1]Harbin Institute of Technology, School of Astronautics

出　　处：《Science China(Technological Sciences)》2015年第5期775-782,共8页中国科学（技术科学英文版）

基　　金：supported by the National Basic Research Program of China("973"Project)(Grant No.2015CB057400);the China Postdoctoral Science Foundation(Grant No.2013M541360);the National Natural Science Foundation of China(Grant Nos.10632040 and 11302058)

摘　　要：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.

关 键 词：resonant hysteresis supercritical bifurcation clearance branch continuation doubling compliance harmonic 

分 类 号：TH133.3[机械工程—机械制造及自动化]