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Abstract:
In this study, multi-pulse chaotic dynamics of an unbalanced Jeffcott rotor with gravity effect are investigated. Based on the solvability conditions obtained for the case of one-to-one internal resonance and primary resonance, canonical transformations are used to reduce these ordinary differential equations to a standard form suitable for applying the energy-phase method. The global perturbation technique is employed to demonstrate the existence of chaotic dynamics by identifying multi-pulse jumping orbits in the perturbed phase space. The chaotic dynamics results from the existence of ilnikov's type of homoclinic orbits and the parameter set for which the system may exhibit chaotic motions in the sense of Smale horseshoes are obtained analytically. The global solutions are then interpreted in terms of the physical motion of the rotor system, and the dynamical mechanism of pattern conversion between the localized mode and the coupled mode is revealed.
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NONLINEAR DYNAMICS
ISSN: 0924-090X
Year: 2017
Issue: 1
Volume: 87
Page: 647-664
5 . 6 0 0
JCR@2022
ESI Discipline: ENGINEERING;
ESI HC Threshold:165
CAS Journal Grade:1
Cited Count:
WoS CC Cited Count: 14
SCOPUS Cited Count: 16
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 9
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