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Author:

Ma, W. S. (Ma, W. S..) | Zhang, W. (Zhang, W..) (Scholars:张伟) | Zhang, Y. F. (Zhang, Y. F..)

Indexed by:

EI Scopus SCIE

Abstract:

The stability and Shilnikov-type multi-pulse jumping chaotic vibrations are investigated for a nonlinear rotor-active magnetic bearing (AMB) system with the time varying stiffness and 16-pole legs under the mechanicalelectric-electromagnetic excitations. The ordinary differential governing equation of motion for the rotor-AMB system is given by a two-degree-of-freedom nonlinear dynamical system including the parametric excitation, quadratic and cubic nonlinearities. The averaged equations of the rotor-AMB system are obtained by using the method of multiple scales under the cases of 1:1 internal resonance, primary parametric resonance and 1/2 subharmonic resonance. Some coordinate transformations are employed to find the type and number of the equilibrium points for the averaged equations. Using the global perturbation method developed by Kavacic and Wiggins, the explicit sufficient conditions near the resonance are obtained for the existence of the Shilnikov-type multi-pulse jumping homoclinic orbits and chaotic vibrations. This implies that the Shilnikov-type multi-pulse jumping chaotic vibrations may occur for the rotor-AMB system in the sense of Smale horseshoes. Numerical simulations are presented to verify the analytical predictions by using the fourth-order Runge-Kutta method. The Shilnikov-type multi-pulse jumping chaotic vibrations can exist in the rotor-AMB system with the time varying stiffness and 16-pole legs under the mechanical-electric-magnetic excitations.

Keyword:

Mechanical-electric-magnetic excitations Rotor-AMB system Shilnikov type multi-pulse jumping chaos Stability Melnikov method

Author Community:

  • [ 1 ] [Ma, W. S.]Beijing Univ Technol, Beijing Key Lab Nonlinear Vibrat & Strength Mech, Coll Mech Engn, Beijing 100124, Peoples R China
  • [ 2 ] [Zhang, W.]Beijing Univ Technol, Beijing Key Lab Nonlinear Vibrat & Strength Mech, Coll Mech Engn, Beijing 100124, Peoples R China
  • [ 3 ] [Ma, W. S.]Inner Mongolia Univ Technol, Dept Mech, Hohhot 010051, Peoples R China
  • [ 4 ] [Zhang, Y. F.]Shenyang Aerosp Univ Liaoning, Sch Aerosp Engn, Shenyang 110136, Peoples R China

Reprint Author's Address:

  • 张伟

    [Zhang, W.]Beijing Univ Technol, Beijing Key Lab Nonlinear Vibrat & Strength Mech, Coll Mech Engn, Beijing 100124, Peoples R China;;[Zhang, Y. F.]Shenyang Aerosp Univ Liaoning, Sch Aerosp Engn, Shenyang 110136, Peoples R China

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Source :

EUROPEAN JOURNAL OF MECHANICS A-SOLIDS

ISSN: 0997-7538

Year: 2021

Volume: 85

4 . 1 0 0

JCR@2022

ESI Discipline: ENGINEERING;

ESI HC Threshold:87

JCR Journal Grade:1

Cited Count:

WoS CC Cited Count: 27

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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