In order to predict the lateral rotordynamics of a high-speed induction motor, an optimization procedure is proposed for identifying the equivalent constitutive properties especially those of the magnetic core: an assembly of lamination stack, tie rods, and short-circuit rods. Modal parameters predicted by a finite element (FE) branched model based mainly on beam and disk elements and measured on an induction motor are included in an original energy functional. The minimization of this functional by using the Levenberg–Marquardt algorithm permits extracting the equivalent constitutive properties of the lamination stack.

1.
Dufour
,
R.
,
Gerard
,
M.
, and
Chareyron
,
M.
, 1998, “
Dynamic Analysis of a Crankshaft in Bending With an Electric Motor and Non-Linear Fluid Film Bearings
,”
Proceedings of the Fifth IFToMM International Conference on Rotordynamics
, pp.
200
211
.
2.
Belmans
,
R.
,
Heylen
,
W.
,
Vandenput
,
A.
, and
Geysen
,
W.
, 1984, “
Influence of Rotor-Bar Stiffness on the Critical Speed of an Induction Motor With an Aluminium Squirrel Cage
,”
Proc. IEEE
0018-9219,
131
(
5
), pp.
203
208
.
3.
Chang
,
S.
, and
Lee
,
D.
, 2002, “
Robust Design of a Composite Air Spindle
,”
Polym. Compos.
0272-8397,
23
(
3
), pp.
361
371
.
4.
McClurg
,
J.
, 1987, “
Advantages of Stiff Shaft Design on High Speed, High Horsepower Squirrel Cage Induction Motors and Generators
,”
34th APCI Conference
, pp.
259
263
.
5.
Ede
,
J.
,
Howe
,
D.
, and
Zhu
,
Z.
, 2002, “
Rotor Resonances of High-Speed Permanent-Magnet Brushless Machines
,”
IEEE Trans. Ind. Appl.
0093-9994,
38
(
6
), pp.
1542
1548
.
6.
Garvey
,
S.
,
Penny
,
J.
,
Friswell
,
M.
, and
Lees
,
A.
, 2004, “
The Stiffening Effect of Laminated Rotor Cores on Flexible-Rotor Electrical Machines
,”
Vibrations in Rotating Machinery
,
1000
, pp.
193
202
.
7.
Chen
,
Y. S.
,
Cheng
,
Y. D.
,
Liao
,
J. J.
, and
Chiou
,
C. C.
, 2008,
Development of a Finite Element Solution Module for the Analysis of the Dynamic Behavior and Balancing Effects of an Induction Motor System
,
Finite Elem. Anal. Design
0168-874X,
44
(
8
), pp.
483
492
.
8.
Long
,
S.
,
Zhu
,
Z.
, and
Howe
,
D.
, 2001, “
Vibration Behaviour of Stators of Switched Reluctance Motors
,”
IEE Proc.: Electr. Power Appl.
1350-2352,
148
(
3
), pp.
257
264
.
9.
Tang
,
Z.
,
Pillay
,
P.
,
Omekanda
,
A. M.
,
Li
,
C.
, and
Cetinkaya
,
C.
, 2003, “
Effects of Material Properties on Switched Reluctance Motor Vibration Determination
,”
38th IAS Annual Meeting: Crossroads to Innovation
, pp.
235
241
.
10.
Garvey
,
S.
, 1989, “
The Vibrational Behaviour of Laminated Components in Electrical Machines
,”
Fourth International Conference on Electrical Machines and Drives
, pp.
226
231
.
11.
Kim
,
Y. -C.
, and
K-W
,
K.
, 2006, “
Influence of Lamination Pressure Upon the Stiffness of Laminated Rotor
,”
JSME Int. J., Ser. C
1340-8062,
49
(
2
), pp.
426
431
.
12.
Lee
,
C.
, and
Kam
,
T.
, 2006, “
Identification of Mechanical Properties of Elastically Restrained Laminated Composite Plates Using Vibration Data
,”
J. Sound Vib.
0022-460X,
295
(
3–5
), pp.
999
1016
.
13.
Cugnoni
,
J.
, 2004, “
Identification par recalage modal et fréquentiel des propriétés constitutives de coques en matériaux composites
,” Ph.D. dissertation, No. 3106, School of Engineering, Swiss Federal Institute of Technology, Lausanne, Swiss.
14.
Feng
,
X.
,
Zhou
,
J.
, and
Fan
,
Y.
, 2003, “
Identifying Sub-Regional Material Parameters of Concrete Dams Using Modal Data
,”
Acta Mech. Solida Sinica
0894-9166,
16
(
1
), pp.
88
94
.
15.
Ojalvo
,
I.
, 1987, “
Efficient Computation of Mode-Shape Derivatives for Large Dynamic Systems
,”
AIAA J.
0001-1452,
25
(
10
), pp.
1386
1390
.
16.
Nelson
,
R.
, 1976, “
Simplified Calculation of Eigenvector Derivatives
,”
AIAA J.
0001-1452,
14
(
9
), pp.
1201
1205
.
17.
Yu
,
M.
,
Liu
,
Z. -S.
, and,
Wang
,
D. -J.
, 1997, “
Comparison of Several Approximate Modal Methods for Computing Mode Shape Derivatives
,”
Comput. Struct.
0045-7949,
62
(
2
), pp.
381
393
.
18.
Bampton
,
M.
, and
Craig
,
R.
, Jr.
, 1968, “
Coupling of Substructures for Dynamic Analyses
,”
AIAA J.
0001-1452,
6
(
7
), pp.
1313
1319
.
19.
Andrieux
,
S.
, and
Baranger
,
T.
, 2008, “
Energy Methods for Cauchy Problems of Evolutions Equations
,”
J. Phys.: Conf. Ser.
1742-6588,
135
, p.
012007
.
20.
Przemieniecki
,
J. -S.
, 1985,
Theory of Matrix Structural Analysis
,
Dover
,
New York
.
21.
Lalanne
,
M.
, and
Ferraris
,
G.
, 1998,
Rotordynamics Prediction in Engineering
, 2nd ed.,
Wiley
,
New York
.
22.
Cowper
,
G.
, 1966, “
The Shear Coefficient in Timoshenko’s Beam Theory
,”
ASME J. Appl. Mech.
0021-8936,
33
(
2
), pp.
335
340
.
23.
Nielsen
,
H.
, 1999, “
Damping Parameter in Marquardt’s Method
,” Technical Report No. IMM-REP-1999-05, Technical University of Denmark.
You do not currently have access to this content.