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.

Issue Section:
Research Papers
Keywords:
electromechanical effects, vibrations, toroidal drive, electromechanical integrated, internal resonance
Topics:
Resonance, Vibration, Nonlinear vibration
1.
Kuehnle
,
M. R.
, 1966, “
Toroidgetriebe.Urkunde uber die Erteilung des
,” Deutschen Patent No. 1301682.
2.
Kuehnle
,
M. R.
,
Peeken
,
H.
,
Troeder
,
H.
, and
Cerniak
,
S.
, 1981, “
The Toroidal Drive
,”
Mech. Eng. (Am. Soc. Mech. Eng.)
0025-6501,
103
(
2
), pp.
32
–
39
.
3.
Kuehnle
,
M. R.
, 1999, “
Toroidal Transmission and Method and Apparatus for Making and Assembling Same
,” U.S. Patent No. 5,863,273.
4.
Yao
,
L.
,
Dai
,
J. S.
, and
Li
,
H.
, 2004, “
Mathematical Modelling and Manufacturing of the Internal Toroidal Tooth Profile
,”
Proc. Inst. Mech. Eng., Part C: J. Mech. Eng. Sci.
0954-4062,
218
(
9
), pp.
1043
–
1051
.
Crossref
Search ADS
 
5.
Yao
,
L.
,
Dai
,
J. S.
,
Wei
,
G.
, and
Li
,
H.
, 2005, “
Geometric Modelling and Meshing Characteristics of the Toroidal Drive
,”
ASME J. Mech. Des.
0161-8458,
127
(
5
), pp.
988
–
996
.
Crossref
Search ADS
 
6.
Xu
,
L.
,
Huang
,
Z.
, and
Yang
,
Y.
, 2004, “
Mesh Theory for Toroidal Drive
,”
ASME J. Mech. Des.
0161-8458,
126
(
3
), pp.
551
–
557
.
Crossref
Search ADS
 
7.
Delin
,
Z.
, and
Huamin
,
L.
, 1993, “
Side Surface Harmonic Stepper Motor
,”
Chin. Journal of Mechanical Engineering
,
29
(
2
), pp.
96
–
98
. 0002-7820
8.
Oliver
,
B.
, 2000, “
Harmonic Piezodrive-Miniaturized Servo Motor
,”
Mechatronics
0957-4158,
10
(
4
), pp.
545
–
554
.
9.
Xu
,
L.
, 2004, “
Efficiency for Toroidal Drive
,”
Proceedings of the 11th World Congress in Mechanism and Machine Science
, Tianjin, China, Apr. 1–4, pp.
737
–
740
.
10.
Xu
,
L.
,
Huang
,
Z.
, and
Yang
,
Y.
, 2003, “
Contact Stresses for Toroidal Drive
,”
ASME J. Mech. Des.
0161-8458,
125
(
1
), pp.
165
–
168
.
Crossref
Search ADS
 
11.
Xu
,
L.
, and
Huang
,
J.
, 2005, “
“Torques for Electromechanical Integrating Toroidal Drive
,”
Proc. Inst. Mech. Eng., Part C: J. Mech. Eng. Sci.
0954-4062,
219
(
8
), pp.
801
–
811
.
Crossref
Search ADS
 
12.
Xu
,
L.
, and
Hao
,
X.
, 2006, “
Forced Response of Electromechanical Integrated Toroidal Drive to Load and Voltage Excitations
,”
Proc. Inst. Mech. Eng., Part K: Journal of Multi-Body Dynamics.
,
220
(
3
), pp.
203
–
217
.
13.
Nayfeh
,
A. H.
, 1981,
Introduction to Perturbation Techniques
,
Wiley
,
New York, USA
, Chap. 2.
Copyright © 2010
 by American Society of Mechanical Engineers
You do not currently have access to this content.