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Date of download: 10/23/2017 Copyright © ASME. All rights reserved.

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1 Date of download: 10/23/2017 Copyright © ASME. All rights reserved. From: Chaotic Vibration Analysis of a Coaxial Rotor System in Active Magnetic Bearings and Contact With Auxiliary Bearings J. Comput. Nonlinear Dynam. 2016;12(3): doi: / Figure Legend: Model of a coaxial rotor supported by two AMBs and two auxiliary bearings

2 Date of download: 10/23/2017 Copyright © ASME. All rights reserved. From: Chaotic Vibration Analysis of a Coaxial Rotor System in Active Magnetic Bearings and Contact With Auxiliary Bearings J. Comput. Nonlinear Dynam. 2016;12(3): doi: / Figure Legend: A cross section diagram of AMB placed at point A

3 Date of download: 10/23/2017 Copyright © ASME. All rights reserved. From: Chaotic Vibration Analysis of a Coaxial Rotor System in Active Magnetic Bearings and Contact With Auxiliary Bearings J. Comput. Nonlinear Dynam. 2016;12(3): doi: / Figure Legend: Schematic diagram of the contact between the inner shaft and the auxiliary bearing A

4 Date of download: 10/23/2017 Copyright © ASME. All rights reserved. From: Chaotic Vibration Analysis of a Coaxial Rotor System in Active Magnetic Bearings and Contact With Auxiliary Bearings J. Comput. Nonlinear Dynam. 2016;12(3): doi: / Figure Legend: Bifurcation diagrams of x2(nT) and x4(nT) versus speed parameter S for counter-rotating shafts with neglecting the influence of weight

5 Date of download: 10/23/2017 Copyright © ASME. All rights reserved. From: Chaotic Vibration Analysis of a Coaxial Rotor System in Active Magnetic Bearings and Contact With Auxiliary Bearings J. Comput. Nonlinear Dynam. 2016;12(3): doi: / Figure Legend: Trajectories of disk d1, power spectrum of x2, and Poincaré maps of disk d1 at S = 0.23, 2, and 3.02 for counter-rotating shafts with neglecting the influence of weight

6 Date of download: 10/23/2017 Copyright © ASME. All rights reserved. From: Chaotic Vibration Analysis of a Coaxial Rotor System in Active Magnetic Bearings and Contact With Auxiliary Bearings J. Comput. Nonlinear Dynam. 2016;12(3): doi: / Figure Legend: Bifurcation diagrams of x2(nT) and x4(nT) versus speed parameter S for corotating shafts with neglecting the influence of weight

7 Date of download: 10/23/2017 Copyright © ASME. All rights reserved. From: Chaotic Vibration Analysis of a Coaxial Rotor System in Active Magnetic Bearings and Contact With Auxiliary Bearings J. Comput. Nonlinear Dynam. 2016;12(3): doi: / Figure Legend: The radial component of the contact force between the inner shaft and the auxiliary bearing A for counter-rotating and corotating shafts

8 Date of download: 10/23/2017 Copyright © ASME. All rights reserved. From: Chaotic Vibration Analysis of a Coaxial Rotor System in Active Magnetic Bearings and Contact With Auxiliary Bearings J. Comput. Nonlinear Dynam. 2016;12(3): doi: / Figure Legend: Bifurcation diagrams of x2(nT) and x4(nT) versus speed parameter S for counter-rotating shafts with considering the influence of weight

9 Date of download: 10/23/2017 Copyright © ASME. All rights reserved. From: Chaotic Vibration Analysis of a Coaxial Rotor System in Active Magnetic Bearings and Contact With Auxiliary Bearings J. Comput. Nonlinear Dynam. 2016;12(3): doi: / Figure Legend: Trajectories of disk d1, power spectrum of x2, and Poincaré maps of disk d1 at S = 0.36 and 1.25 for counter-rotating shafts with considering the influence of weight

10 Date of download: 10/23/2017 Copyright © ASME. All rights reserved. From: Chaotic Vibration Analysis of a Coaxial Rotor System in Active Magnetic Bearings and Contact With Auxiliary Bearings J. Comput. Nonlinear Dynam. 2016;12(3): doi: / Figure Legend: The maximum Lyapunov exponent at S = 0.23 with (left side) and without (right side) considering the influence of weight


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