The present paper elucidates the difficulties faced in the practical implementation of phase modulation methods in the form that was presented by Wang et al. and in the actual systems where the motor driving moment is the control value. A more general model, which takes into consideration the impact of machine vibrations on the rotor angular velocity, was developed. The modification of the phase modulation method is also proposed. The usefulness of such an approach for shaping the transient resonance of the machines with an unbalanced rotor is proven by means of a simulation and an experiment.

1.
Lewis
,
F.
, 1932, “
Vibration During Acceleration Through a Critical Speed
,”
Trans. ASME
0097-6822,
54
, pp.
253
261
.
2.
Kac
,
A. M.
, 1947, “
Forced Vibration During the Resonance Passage
,”
Inzyniernyj Sbornik
, 2(3).
3.
Market
,
R.
, and
Seidler
,
M.
, 2001, “
Analytically Based Estimation of the Maximum Amplitude During Passage Through Resonance
,”
Int. J. Solids Struct.
0020-7683,
38
(
10–13
), pp.
1975
1992
.
4.
Yanabe
,
S.
, and
Tamura
,
A.
, 1980, “
Vibration of a Rotating Shaft Passing Through Critical Speed
,”
Vibration in Rotating Machinery
,
I Mech E Conference Publications
.
5.
Iwatsubo
,
T.
, 1976, “
Vibration of Rotors Through Critical Speed
,”
Shock Vib. Dig.
0583-1024,
8
, p.
89
.
6.
Harris
,
C.
, 1957,
Handbook of Noise Control
,
McGraw-Hill
,
New York
.
7.
Michalczyk
,
J.
, 1995, “
Vibratory Machines
,”
Dynamic Calculations, Vibrations, and Noise
,
WNT
,
Warsaw, Poland
.
8.
Agranowskaja
,
E. A.
, and
Blechman
,
I. I.
, 1969, “
Estimating the Resonance Amplitudes During the Overrun of Systems of Many Degrees of Freedom
,”
Dynamics of Machines
,
Nauka
,
Moscow
.
9.
Millsaps
,
K. T.
, and
Reed
,
G. L.
, 1998, “
Reducing the Lateral Vibrations of a Rotor Passing Through Critical Speed by Acceleration
,”
ASME J. Eng. Gas Turbines Power
0742-4795,
120
, pp.
615
620
.
10.
Wang
,
S. M.
,
Lu
,
Q. S.
, and
Twizell
,
E. H.
, 2003, “
Reducing the Lateral Vibration of a Rotor Passing Through Critical Speed by Phase Modulating
,”
ASME J. Eng. Gas Turbines Power
0742-4795,
125
, pp.
766
771
.
11.
Michalczyk
,
J.
,
Cieplok
,
G.
, and
Bednarski
,
L.
, 2006,
Forcing the Start-Up of Vibratory Machines by Means of Small Power Motors
,
The Archive of Mechanical Engineering
,
Krakow, Poland
.
12.
Bychowskij
,
I.
, 1969,
Bases of the Theory of the Vibratory Technique
,
Maszynostrojenie
,
Moscow
.
13.
Michalczyk
,
J.
, 1984, “
Selected Problems of Over-Resonance Vibratory Machines Dynamics
,” Mechanika, 5, Krakow, Poland.
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