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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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References

Kuehnle, M. R., 1966, “Toroidgetriebe,” Urkunde uber die Erteilung des Deutschen Patent No. 1301682.
Kuehnle, M. R., Peeken, H., Troeder, H., and Cerniak, S., 1981, “The Toroidal Drive,” Mech. Eng., 32(2), pp. 32–39. Available at http://www.asme.org/kb/newsletters
Tooten, K. H., 1983, “Konstruktive Optimierungen an einem Umlaufradergetriebe,” Ph.D. thesis, RWTH Aachen University, Aachen, Germany.
Peeken, H., Troeder, Chr., and Tooten, K. H., 1984, “Berechnung und Messung der Lastverteilung im Toroidgeriebe,” Konstruktion, l36(3), pp. 81–86.
Yao, L., Dai, J. S., Wei, G., and Li, H., 2005, “Geometric Modelling and Meshing Characteristics of the Toroidal Drive,” Trans. ASME J. Mech. Des., 127(5), pp. 988–996. [CrossRef]
Zheng, D., and Li, H., 1993, “Side Surface Harmonic Stepper Motor,” Chin. J. Mech. Eng., 29(5), pp. 96–98. Available at http://www.cjmenet.com/
Oliver, B., 2000, “Harmonic Piezodrive-Miniaturized Servo Motor,” Mechatronics, 10(4), pp. 545–554. [CrossRef]
Xu, L., and Huang, Z., 2003, “Contact Stresses for Toroidal drive,” J. Mech. Des., 125(3), pp. 165–168. [CrossRef]
Xu, L., and Li, J., 2004, “Efficiency for Toroidal Drive,” Proceedings of the 11th World Congress in Mechanism and Machine Science, April 1–4, Tianjin, PRC, pp. 737–740.
Xu, L., and Huang, J., 2005, “Torques for Electromechanical Integrating Toroidal Drive,” J. Mech. Eng. Sci., 219(8), pp. 801–811. [CrossRef]
Shaltout, A., and AI-Omoush, M., 1996, “Reclosing Torque of Large Induction Motors With Stator Trapped Flux,” Transl. Energy Convers., 11(1), pp. 84–90. [CrossRef]
Kanaan, H. Y., and Al-Haddad, K., 2003, “Analysis of the Electromechanical Vibrations in Induction Motor Drives due to the Imperfections of the Mechanical Transmission System,” Math. Comput. Simul., 63(17), pp. 421–433. [CrossRef]
Xu, L., and Hao, X., 2006, “Forced Response of Electromechanical Integrated Toroidal Drive to Load and Voltage Excitations,” J. Multibody Dyn., 220(3), pp. 203–217. [CrossRef]
Benjamin, C. K., 1979, Incremental Motion Control, SRL, Inc., Springfield, IL.
Stocker, J. J., 1992, “Nonlinear Vibrations in Mechanical and Electrical Systems,” John Wiley & Sons, Inc., New York.

Figures

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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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