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Research Papers

Internal Resonance Analysis for Electromechanical Integrated Toroidal Drive

[+] Author and Article Information
Xiuhong Hao Lizhong Xu1

Mechanical Engineering Institute, Yanshan University, Qinhuangdao 066004, Chinaxlz@ysu.edu.cn

1

Corresponding author.

J. Comput. Nonlinear Dynam 5(4), 041004 (Jun 30, 2010) (12 pages) doi:10.1115/1.4001821 History: Received October 28, 2008; Revised September 25, 2009; Published June 30, 2010; Online June 30, 2010

In this paper, the electromechanical coupled nonlinear equations for the electromechanical integrated toroidal drive are proposed. Using the equations, the free vibration and forced response under internal resonance are investigated. The effects of the drive parameters on the resonance are investigated. Three different resonance types exist for the different drive parameters. They are the normal resonance, internal resonance, and jump vibration between the normal and internal resonances. Compared with the normal resonance without internal resonance, the internal resonance has a large amplitude and the energy exchange occurs between the vibrations of the different components. The resonance types of the drive system are dependent on the electromechanical parameters of the drive system. In the design stage, one can select properly the electromechanical parameters of the drive system to remove the internal resonance and the jump vibration.

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Copyright © 2010 by American Society of Mechanical Engineers
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Figures

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Figure 1

The model machine of the electromechanical integrated toroidal drive

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Figure 2

The dynamic models of the electromechanical integrated toroidal drive

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Figure 3

Space phase relation of the coils on the worm

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Figure 4

C1 and C2 under internal resonance without damping (ω2=2ω1): (a) ui0=0.08 mm, zi0=0.3 mm; (b) ui0=0.225 mm, zi0=0.08 mm

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Figure 5

C1 and C2 under internal resonance with damping (ui0=0.225 mm, zi0=0.08 mm, ω2=2ω1)

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Figure 6

Comparison between the free vibration and the internal resonance (t=0–2 s)

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Figure 7

Comparison between the free vibration and the internal resonance (t=0–0.05 s)

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Figure 8

The forced responses of the drive system under internal resonance

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Figure 9

Resonance curves under internal and without internal resonance: (a) σ1=0, ωe=ω2; (b) σ1=6, ωe=ω2

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Figure 10

Changes in σ along with the drive parameters

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