This research aims to analyze the dynamics of the self-excited vibration of a cleaning blade in a laser printer. First, it is experimentally indicated that that the self-excited vibration is not caused by the negative damping effect based on friction. Next, the excitation mechanism and dynamics of the vibration are theoretically clarified using an essential 2DOF link model, with emphasis placed on the contact between the blade and the photoreceptor. By solving the equations governing the motion of the analytical model, five patterns of static equilibrium states are obtained, and the effect of friction on the static states is discussed. It is shown that one of five patterns corresponds to the shape of the practical cleaning blade, and it is clarified through linear stability analysis that this state becomes dynamically unstable, due to both effects of friction and mode coupling. Furthermore, the amplitude of the vibration in the unstable region is determined through nonlinear analysis. The obtained results show that this unstable vibration is a bifurcation classified as a supercritical Hamiltonian-Hopf bifurcation, and confirms the occurrence of mode-coupled self-excited vibration on a cleaning blade when a constant frictional coefficient is assumed.

References

References
1.
Bolotin
,
V. V.
, 1963,
Nonconservative Problems of the Theory of Elastic Stability
,
Pergamon
,
London
.
2.
Chin
,
J. H.
, and
Chen
,
C. C.
, 1993, “
A Study of Stick-Slip Motion and its Influence on the Cutting Process
,”
Int. J. Mech. Sci.
,
35
(
5
), pp.
353
370
.
3.
Den Hartog
,
J. P.
, 1984,
Mechanical Vibrations
,
Dover Publications
,
New York
.
4.
Gasparetto
,
A.
, 2001, “
Eigenvalue Analysis of Mode-Coupling Chatter for Machine-Tool Stabilization
,”
J. Vib. Control
,
7
, pp.
181
197
.
5.
Grenouillat
,
R.
, and
Leblanc
,
C.
, 2002, “
Simulation of Chatter Vibrations for Wiper Systems
,” SAE Technical Paper No. 2002-01-1239.
6.
Herve
,
B.
,
Sinou
,
J. J.
,
Mahe
,
H.
, and
Jezequel
,
L.
, 2008,
“Analysis of Squeal Noise and Mode Coupling Instabilities Including Damping and Gyroscopic Effects,”
Eur. J. Mech. A-solid
27
(
2
), pp.
141
160
.
7.
Hoffman
,
N.
, and
Gaul
,
L.
, 2003, “
Effects of Damping on Mode-Coupling Instability in Friction Induced Oscillations
,”
J. Appl. Math. Mech.
,
83
(
8
), pp.
524
534
.
8.
Kasama
,
M.
,
Yoshizawa
,
M.
,
Yu
,
Y.
, and
Itoh
,
T.
, 2008,
“Coupled-Mode Flutter of a Cleaning Blade System in a Laser Printer,”
J. Syst. Des. Dyn.
,
2
(
3
), pp.
849
860
.
9.
Kawamoto
,
H.
, 1996, “
Chatter Vibration of a Cleaner Blade in Electrophotography
,”
J. Imaging Sci. Technol.
,
40
(
1
), pp.
8
13
.
10.
Koenigsberger
,
F.
, and
Tlusty
,
J.
, 1970,
Machine Tool Structures
,
Elsevier
,
Amsterdam
.
11.
Lancioni
,
G.
,
Lenci
,
S.
, and
Galvenatto
,
U.
, 2007,
“Non-Linear Dynamics of a Mechanical System With a Frictional Unilateral Constraint,”
Int. J. Non-Linear Mech.
,
44
(
6
), pp.
658
674
.
12.
Nakamura
,
K.
, 1996, “
Generation Mechanism of Unusual Noise in the Laser-Beam Printer
,”
Transactions of the Japan Society of Mechanical Engineers, Series C
,
62
(
601
), pp.
3428
3433
.
13.
Nayfeh
,
A. H.
, 1973,
Perturbation Methods,
Wiley-Interscience
,
New York
.
14.
Nayfeh
,
A. H.
, and
Mook
,
D. T.
, 1995,
Nonlinear Oscillations
,
Wiley-Interscience
,
New York
.
15.
Païdousis
,
M. P.
, 1998,
Fluid-Structure Interactions Slender Structure and Axial,
Academic Press
,
San Diego
, Vol.
1
.
16.
Rousselet
,
J.
, and
Herrmann
,
G.
, 1977, “
Flutter of Articulated Pipes at Finite Amplitude
,”
J. Appl. Mech.
,
44
(
1
), pp.
154
158
.
17.
Shin
,
K.
,
Oh
,
J.
, and
Brennan
,
M.
, 2002, “
Nonlinear Analysis of Friction-Induced Vibrations of a Two-Degree-of Freedom Model for Disc Brake Squeal Noise
,”
JSME Int. J.
,
45
, pp.
426
432
.
18.
Wickens
,
A. H.
, 1965, “
The Dynamics Stability of a Simplified Four-Wheel Railway Vehicle Having Profiled Wheels
,”
Int. J. Solid Struct.
,
1
, pp.
385
406
.
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