2019
DOI: 10.1115/1.4045398
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Control of Period-Doubling and Chaos in Varying Compliance Resonances for a Ball Bearing

Abstract: Varying compliance (VC) is an inevitable parametrical excitation to rolling bearing systems due to time-varying stiffness from rolling element revolution. Period-doubling instability in the VC primary resonances of ball bearing is presented in many studies. Recently, this instability was demonstrated to be a probable indicator of occurrence of strong one to two internal resonances and chaotic motions, which has potential effects on the stability and safety of the bearing-rotor system. However, few studies have… Show more

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Cited by 14 publications
(15 citation statements)
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“…e analysis of periodic motion types and their bifurcation mechanism of a nonlinear system is beneficial to abnormal vibration (e.g., super/subharmonic, combination, chaotic, bistable, and hystertic responses) control and even machine design. e HB-AFT method combined with Floquet stability analysis is an effective way to trace a VC periodic solution branch and its stability characteristics of ball bearing system [5,6].…”
Section: Methodsmentioning
confidence: 99%
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“…e analysis of periodic motion types and their bifurcation mechanism of a nonlinear system is beneficial to abnormal vibration (e.g., super/subharmonic, combination, chaotic, bistable, and hystertic responses) control and even machine design. e HB-AFT method combined with Floquet stability analysis is an effective way to trace a VC periodic solution branch and its stability characteristics of ball bearing system [5,6].…”
Section: Methodsmentioning
confidence: 99%
“…e JIS6306 ball bearing is adopted in this paper, which has been studied commonly during recent years [5,6,[10][11][12], and the main parameters of the system studied are given in Table 1. Herein, the damping factor c is estimated by [31] c � (0.25 to 2.5)…”
Section: Specificationsmentioning
confidence: 99%
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