Research Papers

Nonlinear Free Vibration for Electromechanical Integrated Toroidal Drive

[+] Author and Article Information
Lizhong Xu

e-mail: Xlz@ysu.edu.cn

Xiuhong Hao

Mechanical Engineering Institute,
Yanshan University,
Qinhuangdao, 066004, PRC

1Corresponding author.

Contributed by the Design Engineering Division of ASME for publication in the Journal of Computational and Nonlinear Dynamics. Manuscript received June 26, 2011; final manuscript received August 13, 2012; published online November 15, 2012. Assoc. Editor: Yoshiaki Terumichi.

J. Comput. Nonlinear Dynam 8(2), 021016 (Nov 15, 2012) (11 pages) Paper No: CND-11-1103; doi: 10.1115/1.4007838 History: Received June 26, 2011; Revised August 13, 2012

Electromechanical integrated toroidal drive is an electromechanical coupled dynamics system. Here, the electromagnetic nonlinearity occurs which has important effects on the operating performance of the drive system. In this paper, the electromagnetic mesh stiffness is presented and nonlinear electromechanical coupled dynamic equations are deduced. Using the perturbation method, the nonlinear free vibrations of the drive system are investigated. Changes of the nonlinear vibration frequencies along with the system parameters are given. Results show that the electromagnetic nonlinearity has obvious effects on the vibration frequencies of the drive system. The results are useful in maximizing the power density of the drive system and reducing noise radiation.

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Fig. 1

The electromechanical integrated toroidal drive

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Fig. 2

Dynamic models of (a) mechanical system for a four-planet electromechanical toroidal drive, (b) a worm/planet pair, (c) a stator/planet pair, and (d) a rotor/planet pair

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Fig. 3

Space phase relation of the coils on the worm

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Fig. 4

Changes of the nonlinear vibration frequencies along with inductance L: (a) ω1, (b) ω2, (c) ω3, (d) Δω1, (e) Δω2, (f) Δω3

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Fig. 5

Changes of the nonlinear vibration frequencies along with radius R: (a) ω1, (b) ω2, (c) ω3, (d) Δω1, (e) Δω2, (f) Δω3

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Fig. 6

Changes of the nonlinear vibration frequencies along with tooth number z1: (a) ω1, (b) ω2, (c) ω3, (d) Δω1, (e) Δω2, (f) Δω3

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Fig. 7

Changes of the nonlinear vibration frequencies along with NIs: (a) ω1, (b) ω2, (c) ω3, (d) Δω1, (e) Δω2, (f) Δω3

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Fig. 8

Changes of the nonlinear vibration frequencies along with iwpi: (a) ω1, (b) ω2, (c) ω3, (d) Δω1 (e) Δω2, (f) Δω3



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